Anthology

Twelve-Tone Anthology

Mark Gotham

This page provides a list of rows used in the repertoire in the form of a:

  • Tabular list of all the rows collected (more than 600);
  • Musical representation of those rows in ‘open’ values (quarter notes, no stems);
  • Structured anthology, re-organising the rows by property (e.g. with a list of the all-interval rows).

As the twelve-tone part of this textbook is at pains to point out, it’s not always straightforward (or indeed musically relevant) to identify a single main row. Indeed it’s not always clear what counts as ‘serial’. That being the case, no list of this kind can aim to be ‘definitive’. All the same, it’s very useful to see at least some rows gathered together and compared.[1]

Tabular List

[table “58” not found /]

Musical Notation


Rows in the Repertoire by FourScoreAndMore

Anthology

The full list of rows above presents examples of repertoire row usages.
The following sections interpret that list somewhat, looking for the presence of certain properties. For a longer introduction to what these properties mean, please see the Row Properties chapter.

Re-used Rows

We begin with rows used more than once in this collection. This takes account of transposition (by comparing P0 forms), but not inversion or retrograde equivalence. This list is short and largely limited to “famous” rows like the so-called “mother” chord (Berg, Ginastera, Klein) and cases of homage such as the Boulez-Messiaen and Payne-Lutyens pairs.

  1. [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6]: Babbitt, Milton: Composition for Four Instruments; Schwantner, Joseph: In Aeternum (Derived Row)
  2. [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5]: Babbitt, Milton: Relata I; Babbitt, Milton: Relata II
  3. [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6]: Babbitt, Milton: String Quartet No.2; Morris, Robert: Roundelay, row 5
  4. [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]: Babbitt, Milton: Semi-simple variations; Stockhausen, Karlheinz: Gruppen; Stockhausen, Karlheinz: Klavierstück VII; Stockhausen, Karlheinz: Klavierstück IX; Stockhausen, Karlheinz: Klavierstück X
  5. [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]: Berg, Alban: Schliesse mir die Augen Beide; Berg, Alban: Lyric Suite, Primary Row / mvt I; Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III; Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1
  6. [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]: Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude; Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 1
  7. [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8]: Boulez, Pierre: Structures Ia; Messiaen, Olivier: Mode de valeurs et d’intensités, Series 1
  8. [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]: Britten, Benjamin: The Turn of the Screw; Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 5
  9. [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6]: Dallapiccola, Luigi: Canti di Liberazione; Dallapiccola, Luigi: Quaderno musicale di Annalibera; Dallapiccola, Luigi: Variazioni per orchestra
  10. [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]: Fine, Vivian: Chaconne for piano; Ginastera, Alberto: Quintet, Op. 29, Row Class VII S
  11. [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7]: Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 2; Ginastera, Alberto: Violin Concerto, Op. 30
  12. [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10]: Ginastera, Alberto: Quintet, Op. 29, Row Class III 2; Ginastera, Alberto: Quintet, Op. 29, Row Class VII 2
  13. [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5]: Krenek, Ernst: Studies in Counterpoint; Krenek, Ernst: Suite, Op. 84 for solo cello
  14. [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]: Lutosławski, Witold: Musique Funébre (Funeral Music); Schnittke, Alfred: Piano Sonata No. 1, mvt 2, mm. 72–76
  15. [0, 6, 11, 10, 8, 7, 9, 1, 3, 2, 4, 5]: Lutyens, Elisabeth: The Valley of Hatsu’se; Payne, Antony: Miniature Variations on a Theme of E.L.
  16. [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]: Morris, Robert: Not Lilacs; Morris, Robert: Knot Lilacs
  17. [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]: Nono, Luigi: Canti per tredeci; Nono, Luigi: Il canto sospeso; Nono, Luigi: Cori di Didone; Nono, Luigi: La terra e la compagna (sketch), Series 1; Slonimsky, Nicolas: N/A – “Grandmother chord”
  18. [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2]: Nono, Luigi: Variazioni canoniche sulla serie dell’op. 41 di Arnold Schönberg; Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 2)
  19. [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11]: Nono, Luigi: Ha venido; Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 6
  20. [0, 2, 3, 6, 7, 11, 1, 9, 4, 8, 5, 10]: Santoro, Claudio: Sonata 1942; Santoro, Claudio: Invenções a duas vozes (Two-Part inventions)
  21. [0, 8, 1, 11, 10, 7, 5, 9, 4, 6, 3, 2]: Stockhausen, Karlheinz: Klavierstück “V.5 or Pre-VI” (row of original 1954 version); Stockhausen, Karlheinz: Klavierstück VIII

All-Interval

All-interval rows go through all 11 different intervals (1, 2, 3, … 11) between neighbouring pitches in the row.

  1. Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6]
  2. Babbitt, Milton: Sounds and Words, [0, 9, 2, 4, 8, 3, 11, 10, 1, 7, 5, 6]
  3. Babbitt, Milton: String Quartet No.2, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6]
  4. Babbitt, Milton: The Widow’s Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6]
  5. Babbitt, Milton: Three Compositions for Piano, no. I, [0, 5, 7, 4, 2, 3, 9, 1, 8, 11, 10, 6]
  6. Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6]
  7. Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6]
  8. Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  9. Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  10. Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  11. Carter, Elliott: A Symphony of Three Orchestras, [0, 8, 7, 10, 4, 5, 2, 9, 11, 3, 1, 6]
  12. Carter, Elliott: Caténaires, [0, 8, 5, 3, 7, 9, 10, 4, 11, 2, 1, 6]
  13. Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6]
  14. Carter, Elliott: String Quartet No. 3, [0, 11, 2, 9, 5, 3, 4, 8, 10, 7, 1, 6]
  15. Dallapiccola, Luigi: Piccola musica notturna, [0, 9, 1, 3, 4, 11, 2, 8, 7, 5, 10, 6]
  16. Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  17. Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6]
  18. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  19. Ginastera, Alberto: Quintet, Op. 29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  20. Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  21. Krenek, Ernst: Quaestio temporis, Op. 170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6]
  22. Krenek, Ernst: Symphonic Piece for string Orchestra, Op. 86, [0, 3, 4, 10, 2, 9, 11, 8, 7, 5, 1, 6]
  23. Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  24. Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  25. Morris, Robert: Roundelay, row 5, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6]
  26. Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  27. Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  28. Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  29. Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  30. Slonimsky, Nicolas: N/A – “Grandmother chord”, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  31. Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  32. Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  33. Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  34. Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  35. Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6]

Self Retrograde

We turn now to classes of row symmetry, beginning with self retrograde rows for which the prime form is transposition-equivalent to its retrograde. The section after this one deals with retrograde inversion symmetry, and rotational symmetry is included as part of the following sections on derived rows (starting with “6x Same Dyad”).

  1. Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6]
  2. Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6]
  3. Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6]
  4. Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6]
  5. Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6]
  6. Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6]
  7. Babbitt, Milton: The Widow’s Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6]
  8. Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6]
  9. Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6]
  10. Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  11. Barber, Samuel: Piano Sonata, Op. 26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6]
  12. Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  13. Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  14. Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6]
  15. Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  16. Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6]
  17. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6]
  18. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  19. Ginastera, Alberto: Quintet, Op. 29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6]
  20. Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6]
  21. Krenek, Ernst: Quaestio temporis, Op. 170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6]
  22. Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  23. Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6]
  24. Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  25. Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  26. Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  27. Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  28. Schnittke, Alfred: Concerto Grosso No. 3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6]
  29. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, [0, 2, 3, 1, 4, 5, 11, 10, 7, 9, 8, 6]
  30. Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6]
  31. Seiber, Mátyás: String Quartet no. 2, [0, 2, 3, 1, 4, 11, 5, 10, 7, 9, 8, 6]
  32. Slonimsky, Nicolas: N/A – “Grandmother chord”, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6]
  33. Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  34. Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  35. Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  36. Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6]
  37. Webern, Anton: Symphony, Op. 21, [0, 3, 2, 1, 5, 4, 10, 11, 7, 8, 9, 6]
  38. Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6]

Self Retrograde Inversion

These rows have a palindromic interval succession meaning that the prime is transposition-equivalent to its retrograde-inversion.

  1. Bartók, Béla: String Quartet No. 4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7]
  2. Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1]
  3. Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3]
  4. Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5]
  5. Berger, Arthur: Chamber Music for Thirteen Players, [0, 1, 11, 7, 10, 9, 6, 5, 8, 4, 2, 3]
  6. Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  7. Britten, Benjamin: The Turn of the Screw, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  8. Carter, Elliott: String Quartet No. 2 (sketch) 1, [0, 4, 8, 3, 7, 11, 6, 10, 2, 9, 1, 5]
  9. Carter, Elliott: String Quartet No. 2 (sketch) 2, [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1]
  10. Carter, Elliott: String Quartet No. 2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11]
  11. Dallapiccola, Luigi: Cinque canti, [0, 11, 5, 8, 6, 2, 7, 3, 1, 4, 10, 9]
  12. Dallapiccola, Luigi: Dialoghi, [0, 1, 10, 2, 6, 4, 5, 3, 7, 11, 8, 9]
  13. Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5]
  14. Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7]
  15. Fano, Michel: Sonata for Two Pianos, [0, 6, 10, 7, 9, 8, 3, 2, 4, 1, 5, 11]
  16. Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11]
  17. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1]
  18. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 1, [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
  19. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1]
  20. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11]
  21. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9]
  22. Ginastera, Alberto: Quintet, Op. 29, Row Class III 1, [0, 11, 1, 8, 2, 7, 10, 3, 9, 4, 6, 5]
  23. Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5]
  24. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 3, [0, 1, 4, 6, 8, 10, 5, 7, 9, 11, 2, 3]
  25. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 6, [0, 2, 4, 6, 7, 10, 5, 8, 9, 11, 1, 3]
  26. Leibowitz, René: Trois pièces pour piano, Op. 19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11]
  27. Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1]
  28. Lutosławski, Witold: Musique Funébre (Funeral Music), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]
  29. Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7]
  30. Nono, Luigi: Ha venido, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11]
  31. Nono, Luigi: Intolleranza, Tenor 1, [0, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1]
  32. Nono, Luigi: Intolleranza, Alto, [0, 6, 7, 1, 2, 8, 9, 3, 4, 10, 11, 5]
  33. Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5]
  34. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 1, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5]
  35. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7]
  36. Schnittke, Alfred: Concerto Grosso No. 3, monogram 1, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7]
  37. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5]
  38. Schnittke, Alfred: Viola Concerto, [0, 11, 5, 2, 1, 6, 3, 8, 7, 4, 10, 9]
  39. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 1, [0, 3, 6, 10, 2, 11, 8, 5, 9, 1, 4, 7]
  40. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5]
  41. Schnittke, Alfred: Piano Sonata No. 1, mvt 2, mm. 72–76, [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7]
  42. Schnittke, Alfred: Concerto No. 2 for Violin and Chamber Orchestra, [0, 11, 1, 2, 10, 3, 4, 9, 5, 6, 8, 7]
  43. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1]
  44. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9]
  45. Schoenberg, Arnold: Serenade, mvt 5, “Tanzscene”, Op. 24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5]
  46. Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9]
  47. Schwantner, Joseph: Modus Caelestis (m. 39), [0, 6, 11, 10, 5, 9, 4, 8, 3, 2, 7, 1]
  48. Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3]
  49. Schwantner, Joseph: …and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5]
  50. Webern, Anton: Cantata I, Op. 29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5]
  51. Webern, Anton: String Quartet, Op. 28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9]
  52. Webern, Anton: Variations for Orchestra, Op. 30, [0, 1, 4, 3, 2, 5, 6, 9, 8, 7, 10, 11]
  53. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
  54. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9]
  55. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11]
  56. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1]
  57. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 5, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3]
  58. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 6, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11]
  59. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 7, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5]
  60. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 8, [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7]
  61. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5]
  62. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7]
  63. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 11, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9]

6x Same Dyad (interval)

These next four sections set out cases where the discrete sub-segments of a row all form the same pitch class set. The pitch class set in question is given after the row in prime form and rows which are also self-rotational are identified (with the self-rotational interval pattern). This first section presents cases of 6x the same dyad (pitches 1-2, 3-4, 5-6, 7-8, 9-10, and 11-12).

  1. Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 3)
  2. Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], pc set (0, 3)
  3. Baker, David: “Status Symbol” from “The Black Experience”, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 3)
  4. Bartók, Béla: String Quartet No. 4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7], pc set (0, 5)
  5. Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  6. Britten, Benjamin: The Turn of the Screw, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  7. Carter, Elliott: String Quartet No. 2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], pc set (0, 2)
  8. Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], pc set (0, 6)
  9. Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 6)
  10. Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1)
  11. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 8, [0, 1, 7, 6, 8, 9, 3, 2, 4, 5, 11, 10], pc set (0, 1)
  12. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 1, [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], pc set (0, 1), self-rotational interval pattern 11-11-
  13. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], pc set (0, 3)
  14. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 5, [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], pc set (0, 5)
  15. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1)
  16. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9], pc set (0, 6)
  17. Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 6)
  18. Lutosławski, Witold: Musique Funébre (Funeral Music), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], pc set (0, 6), self-rotational interval pattern 6-11-
  19. Mamlok, Ursula: Haiku Settings, no. 5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], pc set (0, 1)
  20. Nono, Luigi: Variazioni canoniche sulla serie dell’op. 41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1)
  21. Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7], pc set (0, 2)
  22. Nono, Luigi: Ha venido, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], pc set (0, 6), self-rotational interval pattern 6-7-
  23. Nono, Luigi: Intolleranza, Tenor 1, [0, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1], pc set (0, 6), self-rotational interval pattern 6-5-
  24. Nono, Luigi: Intolleranza, Tenor 2, [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], pc set (0, 1)
  25. Nono, Luigi: Intolleranza, Soprano 1, [0, 3, 4, 7, 8, 5, 6, 9, 10, 1, 2, 11], pc set (0, 3)
  26. Nono, Luigi: Intolleranza, Alto, [0, 6, 7, 1, 2, 8, 9, 3, 4, 10, 11, 5], pc set (0, 6), self-rotational interval pattern 6-1-
  27. Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5], pc set (0, 2)
  28. Nono, Luigi: La terra e la compagna (sketch), Series 2, [0, 6, 1, 7, 11, 5, 2, 8, 10, 4, 3, 9], pc set (0, 6)
  29. Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], pc set (0, 3)
  30. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], pc set (0, 3)
  31. Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], pc set (0, 1)
  32. Reynolds, Roger: Ambages, [0, 1, 4, 5, 7, 6, 8, 9, 10, 11, 2, 3], pc set (0, 1)
  33. Rochberg, George: String Quartet No. 2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], pc set (0, 1)
  34. Schnittke, Alfred: Concerto Grosso no. 1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], pc set (0, 1)
  35. Schnittke, Alfred: Concerto Grosso No. 3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], pc set (0, 1)
  36. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], pc set (0, 1)
  37. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 2, [0, 3, 7, 10, 2, 11, 6, 9, 1, 4, 8, 5], pc set (0, 3)
  38. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], pc set (0, 3)
  39. Schnittke, Alfred: Piano Sonata No. 1, mvt 2, mm. 72–76, [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], pc set (0, 6), self-rotational interval pattern 6-11-
  40. Schnittke, Alfred: Symphony No. 7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1)
  41. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1)
  42. Schnittke, Alfred: String Quartet no. 4, mvt 2, m.40, [0, 5, 10, 3, 2, 7, 8, 1, 6, 11, 4, 9], pc set (0, 5)
  43. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], pc set (0, 1)
  44. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1)
  45. Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 3)
  46. Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], pc set (0, 6)
  47. Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], pc set (0, 1)
  48. Schwantner, Joseph: …and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], pc set (0, 1)
  49. Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], pc set (0, 1)
  50. Talma, Louise: Three Bagatelles, Bagatelle 3, [0, 3, 4, 1, 5, 8, 10, 7, 2, 11, 6, 9], pc set (0, 3)
  51. Webern, Anton: String Trio, Op. 20, [0, 11, 6, 5, 10, 9, 1, 2, 7, 8, 4, 3], pc set (0, 1)
  52. Webern, Anton: String Quartet, Op. 28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], pc set (0, 1)
  53. Wolpe, Stefan: Four Studies on Basic Rows, No.1 – Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], pc set (0, 6)
  54. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], pc set (0, 1), self-rotational interval pattern 1-1-
  55. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], pc set (0, 2)
  56. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], pc set (0, 3)
  57. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 5, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], pc set (0, 5), self-rotational interval pattern 5-9-
  58. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 6, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], pc set (0, 6), self-rotational interval pattern 6-7-
  59. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 7, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], pc set (0, 5), self-rotational interval pattern 7-7-
  60. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], pc set (0, 3)
  61. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7], pc set (0, 2)
  62. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 11, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], pc set (0, 1), self-rotational interval pattern 11-3-
  63. Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], pc set (0, 2)

4x Same Trichord

Now for cases of 4x the same trichord (pitches 1-3, 4-6, 7-9 and 10-12).

  1. Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 4)
  2. Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6], pc set (0, 1, 3)
  3. Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], pc set (0, 1, 3)
  4. Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6], pc set (0, 1, 4)
  5. Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6], pc set (0, 1, 4)
  6. Baker, David: “Status Symbol” from “The Black Experience”, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4)
  7. Barber, Samuel: Piano Sonata, Op. 26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], pc set (0, 4, 8)
  8. Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1], pc set (0, 2, 5)
  9. Berg, Alban: Lulu, whole-tone row, [0, 2, 4, 6, 10, 8, 11, 7, 9, 1, 3, 5], pc set (0, 2, 4)
  10. Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4)
  11. Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5], pc set (0, 2, 4)
  12. Berio, Luciano: Cinque Variazioni, [0, 2, 4, 1, 3, 5, 8, 10, 6, 7, 9, 11], pc set (0, 2, 4)
  13. Berio, Luciano: Sequenza I, [0, 11, 10, 9, 8, 7, 4, 6, 5, 3, 1, 2], pc set (0, 1, 2)
  14. Carter, Elliott: String Quartet No. 2 (sketch) 1, [0, 4, 8, 3, 7, 11, 6, 10, 2, 9, 1, 5], pc set (0, 4, 8), self-rotational interval pattern 4-4-7-
  15. Carter, Elliott: String Quartet No. 2 (sketch) 2, [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], pc set (0, 4, 8), self-rotational interval pattern 8-8-11-
  16. Carter, Elliott: String Quartet No. 2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], pc set (0, 2, 4)
  17. Cordero, Roque: Sonata breve, [0, 1, 4, 11, 10, 7, 5, 8, 9, 6, 3, 2], pc set (0, 1, 4)
  18. Crosse, Gordon: Elegy for Small Orchestra, Op.1, [0, 11, 3, 1, 9, 10, 5, 6, 2, 4, 8, 7], pc set (0, 1, 4)
  19. Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], pc set (0, 2, 6)
  20. Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6)
  21. Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6)
  22. Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], pc set (0, 1, 6)
  23. Denisov, Edison: Five Etudes for Solo Bassoon, row G, [0, 11, 5, 10, 4, 3, 9, 8, 2, 1, 6, 7], pc set (0, 1, 6)
  24. Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6)
  25. Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 1, 6)
  26. Dessau, Paul: Les Voix, [0, 11, 6, 8, 9, 3, 4, 10, 5, 7, 2, 1], pc set (0, 1, 6)
  27. Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1, 3)
  28. Finney, Ross Lee: Fantasy in Two Movements for solo violin, [0, 1, 3, 5, 4, 2, 11, 10, 8, 6, 7, 9], pc set (0, 1, 3)
  29. Ginastera, Alberto: Cantata para América Mágica, Op.27, [0, 7, 6, 5, 10, 11, 8, 1, 2, 9, 4, 3], pc set (0, 1, 6)
  30. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 1, [0, 1, 6, 7, 8, 2, 10, 11, 5, 4, 9, 3], pc set (0, 1, 6)
  31. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 2, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 3)
  32. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 5, [0, 1, 7, 6, 5, 11, 2, 8, 9, 10, 4, 3], pc set (0, 1, 6)
  33. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11], pc set (0, 1, 2)
  34. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1, 5)
  35. Ginastera, Alberto: Violin Concerto, Op. 30, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 3)
  36. Harrison, Lou: Untitled Piano Piece, [0, 10, 4, 3, 9, 7, 2, 8, 6, 1, 11, 5], pc set (0, 2, 6)
  37. Ives, Charles: On the Antipodes, [0, 3, 11, 8, 4, 7, 10, 9, 6, 2, 5, 1], pc set (0, 1, 4)
  38. Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5], pc set (0, 1, 4)
  39. Leibowitz, René: Trois pièces pour piano, Op. 19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11], pc set (0, 1, 4)
  40. Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 1, 6)
  41. Lutyens, Elisabeth: Motet (Excerota Tractati Logico-Philosophici), Op.27, [0, 11, 3, 7, 8, 4, 2, 6, 5, 1, 9, 10], pc set (0, 1, 4)
  42. Mamlok, Ursula: Haiku Settings, no. 5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], pc set (0, 1, 4)
  43. Moevs, Robert: Musica da Camera, [0, 1, 11, 3, 4, 2, 9, 10, 8, 7, 5, 6], pc set (0, 1, 2)
  44. Morris, Robert: Sung Song, [0, 3, 7, 6, 9, 2, 10, 5, 1, 8, 4, 11], pc set (0, 3, 7)
  45. Nono, Luigi: Variazioni canoniche sulla serie dell’op. 41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4)
  46. Nono, Luigi: Incontri, [0, 2, 3, 8, 9, 6, 4, 5, 7, 11, 1, 10], pc set (0, 1, 3)
  47. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 1, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], pc set (0, 4, 8), self-rotational interval pattern 4-4-3-
  48. Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], pc set (0, 1, 3)
  49. Rochberg, George: Sonata-Fantasia, [0, 11, 10, 4, 5, 6, 9, 8, 7, 1, 2, 3], pc set (0, 1, 2)
  50. Schnittke, Alfred: Concerto Grosso No. 3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], pc set (0, 1, 3)
  51. Schnittke, Alfred: Symphony No. 7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1, 2)
  52. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1, 3)
  53. Schoenberg, Arnold: Die Jakobsleiter, [0, 1, 4, 3, 7, 6, 11, 2, 10, 9, 5, 8], pc set (0, 1, 4)
  54. Schoenberg, Arnold: Modern Psalms, The First Psalm, Op. 50c, [0, 11, 8, 4, 7, 3, 1, 5, 2, 6, 9, 10], pc set (0, 1, 4)
  55. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], pc set (0, 1, 4)
  56. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4)
  57. Schoenberg, Arnold: Serenade, mvt 5, “Tanzscene”, Op. 24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5], pc set (0, 1, 3)
  58. Schoenberg, Arnold: Suite, Op. 29, [0, 4, 3, 7, 11, 8, 9, 6, 5, 1, 2, 10], pc set (0, 1, 4)
  59. Schoenberg, Arnold: Three Songs, No. 3, “Madchenlied”, Op. 48, [0, 6, 8, 10, 2, 4, 9, 5, 3, 11, 7, 1], pc set (0, 2, 6)
  60. Schwantner, Joseph: In Aeternum (Principal Row), [0, 4, 11, 6, 10, 5, 1, 9, 2, 7, 3, 8], pc set (0, 1, 5)
  61. Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 4)
  62. Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], pc set (0, 1, 4)
  63. Schwantner, Joseph: …and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], pc set (0, 1, 4)
  64. Smith, Hale: Contours for Orchestra, [0, 5, 6, 4, 10, 11, 7, 2, 1, 3, 9, 8], pc set (0, 1, 6)
  65. Stravinsky, Igor: Fanfare for a New Theater, [0, 11, 1, 3, 4, 2, 5, 7, 6, 8, 10, 9], pc set (0, 1, 2)
  66. Talma, Louise: Six Etudes, Etude 4, [0, 1, 5, 9, 4, 8, 7, 6, 11, 2, 10, 3], pc set (0, 1, 5)
  67. Weber, Ben: Fantasia (Variations), Op. 25, [0, 1, 5, 9, 10, 2, 6, 11, 7, 4, 3, 8], pc set (0, 1, 5)
  68. Webern, Anton: Cantata I, Op. 29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5], pc set (0, 1, 4)
  69. Webern, Anton: Concerto for Nine Instruments (Konzert), Op. 24, [0, 11, 3, 4, 8, 7, 9, 5, 6, 1, 2, 10], pc set (0, 1, 4)
  70. Webern, Anton: Op. 32 (un-finished), initial sketch, [0, 1, 9, 11, 3, 2, 7, 6, 10, 8, 4, 5], pc set (0, 1, 4)
  71. Webern, Anton: Op. 32 (un-finished), later sketch, [0, 1, 2, 11, 10, 9, 5, 4, 3, 6, 7, 8], pc set (0, 1, 2)
  72. Wolpe, Stefan: Four Studies on Basic Rows, No.1 – Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], pc set (0, 1, 6)
  73. Wolpe, Stefan: Four Studies on Basic Rows, No.2 – Study on Thirds, [0, 11, 9, 8, 10, 7, 6, 5, 3, 2, 4, 1], pc set (0, 1, 3)
  74. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], pc set (0, 2, 4)
  75. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], pc set (0, 1, 3)
  76. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1], pc set (0, 4, 8)
  77. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 8, [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7], pc set (0, 4, 8), self-rotational interval pattern 8-8-9-
  78. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], pc set (0, 1, 4)
  79. Wuorinen, Charles: Second Sonata, Voice 3, [0, 2, 4, 3, 5, 1, 9, 7, 11, 10, 8, 6], pc set (0, 2, 4)
  80. Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], pc set (0, 2, 4)

3x Same Tetrachord

Next up we have cases of 3x the same tetrachord (pitches 1-4, 5-8, and 8-12).

  1. Argento, Dominick: A Water Bird Talk, Bird Row, [0, 7, 2, 1, 10, 9, 3, 8, 5, 4, 11, 6], pc set (0, 1, 2, 7)
  2. Babbitt, Milton: Woodwind Quartet, [0, 3, 1, 2, 11, 10, 8, 9, 5, 7, 6, 4], pc set (0, 1, 2, 3)
  3. Bartók, Béla: String Quartet No. 4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7], pc set (0, 1, 6, 7), self-rotational interval pattern 5-1-5-5-
  4. Berg, Alban: Lulu, Schigolch, [0, 2, 3, 1, 4, 5, 6, 7, 8, 9, 11, 10], pc set (0, 1, 2, 3)
  5. Denisov, Edison: Five Etudes for Solo Bassoon, row A, [0, 6, 1, 7, 8, 3, 2, 9, 10, 5, 11, 4], pc set (0, 1, 6, 7)
  6. Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6, 7)
  7. Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6, 7)
  8. Denisov, Edison: Five Etudes for Solo Bassoon, row D, [0, 6, 1, 7, 8, 3, 2, 9, 10, 11, 5, 4], pc set (0, 1, 6, 7)
  9. Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], pc set (0, 1, 6, 7)
  10. Denisov, Edison: Five Etudes for Solo Bassoon, row F, [0, 6, 1, 7, 3, 2, 8, 9, 10, 5, 11, 4], pc set (0, 1, 6, 7)
  11. Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 6, 7)
  12. Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 1, 6, 7)
  13. Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1, 2, 3)
  14. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 3, [0, 5, 6, 11, 2, 1, 8, 7, 10, 4, 9, 3], pc set (0, 1, 6, 7)
  15. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1], pc set (0, 1, 2, 3)
  16. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 8, [0, 1, 7, 6, 8, 9, 3, 2, 4, 5, 11, 10], pc set (0, 1, 6, 7), self-rotational interval pattern 1-6-11-2-
  17. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-5-
  18. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 5, [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], pc set (0, 1, 6, 7), self-rotational interval pattern 7-6-5-10-
  19. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9], pc set (0, 1, 6, 7), self-rotational interval pattern 6-5-6-3-
  20. Ginastera, Alberto: Sonata for Cello and Piano, Op. 49, [0, 3, 2, 1, 10, 11, 8, 9, 5, 4, 7, 6], pc set (0, 1, 2, 3)
  21. Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 1, 6, 7)
  22. Morris, Robert: On the Go, [0, 9, 2, 3, 5, 8, 10, 11, 1, 4, 7, 6], pc set (0, 1, 3, 6)
  23. Morris, Robert: Beautiful Beast, [0, 1, 3, 6, 5, 10, 7, 4, 9, 8, 11, 2], pc set (0, 1, 3, 6)
  24. Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7], pc set (0, 2, 5, 7), self-rotational interval pattern 10-7-10-5-
  25. Nono, Luigi: Intolleranza, Tenor 2, [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], pc set (0, 1, 2, 3), self-rotational interval pattern 1-2-11-2-
  26. Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5], pc set (0, 2, 5, 7), self-rotational interval pattern 2-5-2-7-
  27. Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], pc set (0, 3, 6, 9)
  28. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-2-
  29. Pärt, Arvo: Symphony No. 2, [0, 3, 1, 2, 4, 7, 5, 6, 8, 11, 9, 10], pc set (0, 1, 2, 3), self-rotational interval pattern 3-10-1-2-
  30. Rochberg, George: String Quartet No. 2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], pc set (0, 1, 6, 7)
  31. Schnittke, Alfred: Concerto Grosso no. 1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], pc set (0, 1, 2, 3)
  32. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], pc set (0, 1, 2, 3)
  33. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], pc set (0, 3, 6, 9), self-rotational interval pattern 3-3-3-1-
  34. Schnittke, Alfred: Symphony No. 7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1, 2, 3)
  35. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1, 2, 3)
  36. Schnittke, Alfred: Violin Sonata 2, [0, 10, 11, 9, 6, 8, 7, 5, 4, 1, 2, 3], pc set (0, 1, 2, 3)
  37. Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], pc set (0, 1, 6, 7)
  38. Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], pc set (0, 1, 6, 7)
  39. Seiber, Mátyás: Sonata for Violin and Piano, [0, 1, 11, 10, 7, 6, 8, 9, 4, 3, 5, 2], pc set (0, 1, 2, 3)
  40. Stravinsky, Igor: Agon, “Double Pas-de-Deux”, [0, 11, 1, 2, 9, 8, 10, 7, 5, 6, 4, 3], pc set (0, 1, 2, 3)
  41. Webern, Anton: String Quartet, Op. 28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], pc set (0, 1, 2, 3)
  42. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7], pc set (0, 1, 2, 3), self-rotational interval pattern 10-3-10-5-
  43. Yun, Isang: Garak, [0, 3, 6, 1, 4, 5, 7, 10, 9, 11, 8, 2], pc set (0, 1, 3, 6)

2x Same Hexachord

Finally, we have the relatively common condition of 2x the same hexachord (pitches 1-6 and 7-12).

  1. Argento, Dominick: A Water Bird Talk, Lecturer Row, [0, 9, 5, 10, 2, 6, 3, 11, 8, 4, 1, 7], pc set (0, 1, 3, 5, 8, 9)
  2. Argento, Dominick: From the Diary of Virginia Woolf, [0, 7, 6, 2, 11, 5, 3, 1, 8, 9, 4, 10], pc set (0, 1, 2, 5, 7, 8)
  3. Babbitt, Milton: All Set, [0, 4, 5, 11, 6, 10, 7, 3, 1, 2, 9, 8], pc set (0, 1, 2, 6, 7, 8)
  4. Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  5. Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6], pc set (0, 2, 3, 4, 5, 7)
  6. Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], pc set (0, 2, 3, 4, 5, 7)
  7. Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  8. Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  9. Babbitt, Milton: Composition for Synthesizer, [0, 9, 1, 8, 4, 5, 7, 2, 3, 6, 10, 11], pc set (0, 1, 4, 5, 8, 9)
  10. Babbitt, Milton: Composition for Tenor and Six Instruments, [0, 11, 7, 5, 6, 1, 4, 3, 10, 8, 2, 9], pc set (0, 1, 2, 6, 7, 8)
  11. Babbitt, Milton: Vision and Prayer, [0, 11, 8, 3, 7, 4, 10, 9, 2, 6, 1, 5], pc set (0, 1, 4, 5, 8, 9)
  12. Babbitt, Milton: Relata I, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], pc set (0, 1, 2, 3, 4, 5)
  13. Babbitt, Milton: Relata II, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], pc set (0, 1, 2, 3, 4, 5)
  14. Babbitt, Milton: Composition for Twelve Instruments, [0, 1, 4, 9, 5, 8, 3, 10, 2, 11, 6, 7], pc set (0, 1, 4, 5, 8, 9)
  15. Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6], pc set (0, 2, 3, 4, 5, 7)
  16. Babbitt, Milton: String Quartet No.2, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  17. Babbitt, Milton: String Quartet, No.3, [0, 11, 6, 7, 5, 1, 10, 2, 9, 3, 4, 8], pc set (0, 1, 2, 6, 7, 8)
  18. Babbitt, Milton: The Widow’s Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6], pc set (0, 2, 3, 4, 5, 7)
  19. Babbitt, Milton: Three Compositions for Piano, no. I, [0, 5, 7, 4, 2, 3, 9, 1, 8, 11, 10, 6], pc set (0, 2, 3, 4, 5, 7)
  20. Babbitt, Milton: Woodwind Quartet, [0, 3, 1, 2, 11, 10, 8, 9, 5, 7, 6, 4], pc set (0, 1, 2, 3, 4, 5)
  21. Babbitt, Milton: Composition for Viola and Piano, [0, 3, 4, 8, 11, 7, 9, 2, 1, 5, 10, 6], pc set (0, 1, 4, 5, 8, 9)
  22. Babbitt, Milton: Two Sonnets of Gerard Manley Hopkins, [0, 2, 3, 4, 7, 5, 11, 6, 10, 9, 8, 1], pc set (0, 2, 3, 4, 5, 7)
  23. Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6], pc set (0, 1, 2, 3, 4, 5)
  24. Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6], pc set (0, 2, 4, 5, 7, 9)
  25. Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  26. Baker, David: “Status Symbol” from “The Black Experience”, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], pc set (0, 1, 4, 5, 8, 9)
  27. Barber, Samuel: Piano Sonata, Op. 26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], pc set (0, 1, 4, 5, 8, 9)
  28. Bartók, Béla: Violin Concerto No. 2, mvt 1, [0, 2, 8, 1, 9, 4, 10, 6, 3, 7, 11, 5], pc set (0, 1, 4, 5, 6, 8)
  29. Bartók, Béla: Violin Concerto No. 2, mvt 3, [0, 8, 2, 9, 1, 4, 10, 7, 6, 3, 11, 5], pc set (0, 1, 4, 5, 6, 8)
  30. Beecroft, Norma: Improvvisazioni Concertanti No. 1, [0, 1, 11, 9, 3, 2, 7, 6, 10, 8, 4, 5], pc set (0, 1, 2, 3, 4, 6)
  31. Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1], pc set (0, 1, 3, 6, 7, 9)
  32. Berg, Alban: Altenberg Lieder, [0, 1, 11, 10, 2, 9, 3, 8, 7, 6, 5, 4], pc set (0, 1, 2, 3, 4, 5)
  33. Berg, Alban: Lulu, Primary / Main / Basic Row, [0, 4, 5, 2, 7, 9, 6, 8, 11, 10, 3, 1], pc set (0, 2, 4, 5, 7, 9)
  34. Berg, Alban: Lulu, whole-tone row, [0, 2, 4, 6, 10, 8, 11, 7, 9, 1, 3, 5], pc set (0, 2, 4, 6, 8, 10)
  35. Berg, Alban: Lulu, permutation of main row, [0, 4, 2, 7, 9, 6, 8, 11, 3, 1, 5, 10], pc set (0, 2, 3, 5, 7, 9)
  36. Berg, Alban: Lulu, Schoolboy row, [0, 2, 6, 10, 4, 7, 8, 3, 5, 9, 11, 1], pc set (0, 1, 3, 5, 7, 9)
  37. Berg, Alban: Lulu, Schigolch, [0, 2, 3, 1, 4, 5, 6, 7, 8, 9, 11, 10], pc set (0, 1, 2, 3, 4, 5)
  38. Berg, Alban: Lulu, Lulu (title character) row, [0, 2, 3, 5, 7, 9, 1, 10, 11, 4, 6, 8], pc set (0, 2, 3, 5, 7, 9)
  39. Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  40. Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  41. Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 2-2-1-2-2-9-
  42. Berg, Alban: Lyric Suite, mvt III, [0, 11, 7, 1, 2, 9, 3, 8, 10, 4, 5, 6], pc set (0, 1, 2, 3, 5, 7)
  43. Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5], pc set (0, 2, 4, 5, 7, 9), self-rotational interval pattern 2-2-3-2-2-7-
  44. Berger, Arthur: Chamber Music for Thirteen Players, [0, 1, 11, 7, 10, 9, 6, 5, 8, 4, 2, 3], pc set (0, 1, 2, 3, 4, 6)
  45. Berio, Luciano: Cinque Variazioni, [0, 2, 4, 1, 3, 5, 8, 10, 6, 7, 9, 11], pc set (0, 1, 2, 3, 4, 5)
  46. Berio, Luciano: Chamber Music, [0, 9, 3, 5, 7, 10, 2, 11, 4, 6, 8, 1], pc set (0, 2, 3, 5, 7, 9)
  47. Berio, Luciano: Sequenza I, [0, 11, 10, 9, 8, 7, 4, 6, 5, 3, 1, 2], pc set (0, 1, 2, 3, 4, 5)
  48. Boulez, Pierre: 2nd Piano Sonata, mvt II, Section 1, [0, 2, 1, 11, 3, 9, 8, 10, 7, 6, 5, 4], pc set (0, 1, 2, 3, 4, 6)
  49. Boulez, Pierre: Le Soleil des eaux, series I, [0, 6, 10, 2, 5, 1, 7, 11, 3, 4, 8, 9], pc set (0, 1, 4, 5, 6, 8)
  50. Boulez, Pierre: Le Soleil des eaux, series II, [0, 6, 10, 2, 5, 1, 4, 7, 11, 8, 3, 9], pc set (0, 1, 4, 5, 6, 8)
  51. Boulez, Pierre: Le Soleil des eaux, series III, [0, 11, 7, 2, 6, 5, 4, 8, 10, 1, 3, 9], pc set (0, 1, 2, 5, 7, 8)
  52. Boulez, Pierre: Notations, [0, 2, 7, 6, 1, 8, 4, 9, 5, 11, 10, 3], pc set (0, 1, 2, 6, 7, 8)
  53. Boulez, Pierre: Structures Ia, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], pc set (0, 1, 2, 3, 6, 7)
  54. Boulez, Pierre: Pli selon pli, [0, 1, 8, 6, 7, 9, 4, 5, 11, 3, 2, 10], pc set (0, 1, 2, 3, 6, 7)
  55. Cage, John: Sonata for Clarinet, mvt 2, [0, 11, 9, 10, 8, 6, 5, 4, 3, 7, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  56. Cage, John: Two pieces for Piano, [0, 11, 8, 3, 4, 2, 9, 7, 1, 5, 10, 6], pc set (0, 1, 2, 4, 5, 8)
  57. Carlos, Juan: Canciones y Baladas, Balada II, [0, 4, 10, 6, 3, 8, 7, 2, 5, 9, 1, 11], pc set (0, 1, 3, 5, 7, 9)
  58. Carter, Elliott: String Quartet No. 2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 2-2-2-2-2-3-
  59. Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6], pc set (0, 1, 3, 4, 5, 8)
  60. Copland, Aaron: Inscape, (“Y form” or “Row 1”), [0, 4, 3, 11, 2, 7, 6, 8, 10, 9, 5, 1], pc set (0, 1, 3, 4, 5, 8)
  61. Cordero, Roque: Soliloquios, [0, 1, 5, 11, 3, 2, 9, 8, 4, 10, 6, 7], pc set (0, 1, 2, 3, 4, 6)
  62. Cordero, Roque: Violin Concerto mvt 1-3, [0, 11, 6, 4, 8, 7, 5, 1, 3, 2, 10, 9], pc set (0, 1, 4, 5, 6, 8)
  63. Cordero, Roque: Concerto for Violin, mvt 2A, [0, 11, 6, 4, 7, 8, 5, 9, 3, 10, 1, 2], pc set (0, 1, 4, 5, 6, 8)
  64. Crosse, Gordon: Elegy for Small Orchestra, Op.1, [0, 11, 3, 1, 9, 10, 5, 6, 2, 4, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  65. Dallapiccola, Luigi: Canti di Liberazione, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], pc set (0, 1, 3, 5, 8, 9)
  66. Dallapiccola, Luigi: Cinque canti, [0, 11, 5, 8, 6, 2, 7, 3, 1, 4, 10, 9], pc set (0, 1, 3, 6, 7, 9)
  67. Dallapiccola, Luigi: Dialoghi, [0, 1, 10, 2, 6, 4, 5, 3, 7, 11, 8, 9], pc set (0, 2, 3, 4, 6, 8)
  68. Dallapiccola, Luigi: Quattro liriche di Antonio Machado, i, iv, [0, 3, 5, 6, 8, 9, 11, 10, 7, 4, 2, 1], pc set (0, 1, 3, 4, 6, 9)
  69. Dallapiccola, Luigi: Liriche greche c: Sex Carmina Alcaei, [0, 3, 5, 6, 2, 9, 8, 7, 4, 1, 10, 11], pc set (0, 1, 3, 4, 6, 9)
  70. Dallapiccola, Luigi: ‘Intermezzo’ from the ‘Ciaccona’ (of ‘Ciaccona, intermezzo e adagio’), [0, 5, 6, 3, 8, 9, 7, 11, 10, 2, 1, 4], pc set (0, 1, 3, 4, 6, 9)
  71. Dallapiccola, Luigi: Il prigioniero, [0, 3, 6, 11, 9, 2, 1, 7, 8, 4, 5, 10], pc set (0, 1, 3, 4, 6, 9)
  72. Dallapiccola, Luigi: Tempus, ‘Ploratus’, [0, 1, 7, 6, 10, 4, 3, 2, 5, 11, 9, 8], pc set (0, 1, 3, 6, 7, 9)
  73. Dallapiccola, Luigi: Tempus, ‘Exhortatio’, [0, 11, 9, 3, 5, 6, 4, 7, 8, 2, 1, 10], pc set (0, 1, 3, 6, 7, 9)
  74. Dallapiccola, Luigi: Commiato, [0, 6, 5, 3, 9, 11, 10, 8, 7, 1, 2, 4], pc set (0, 1, 3, 6, 7, 9)
  75. Dallapiccola, Luigi: Quaderno musicale di Annalibera, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], pc set (0, 1, 3, 5, 8, 9)
  76. Dallapiccola, Luigi: Requiescant, [0, 2, 1, 3, 4, 6, 7, 9, 8, 10, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  77. Dallapiccola, Luigi: Variazioni per orchestra, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], pc set (0, 1, 3, 5, 8, 9)
  78. Dallapiccola, Luigi: Il Prigioniero, “Hope”, [0, 1, 2, 3, 11, 5, 4, 10, 6, 7, 9, 8], pc set (0, 1, 2, 3, 4, 6)
  79. Davies, Peter Maxwell: Sonata for Trumpet and Piano, Op.1, [0, 7, 6, 2, 11, 10, 8, 9, 1, 5, 3, 4], pc set (0, 1, 4, 5, 6, 8)
  80. Davies, Peter Maxwell: Five Pieces for Piano, Op. 2, No. 2, [0, 7, 11, 1, 3, 5, 8, 6, 4, 9, 10, 2], pc set (0, 1, 2, 4, 6, 8)
  81. Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 6-4-6-4-6-1-
  82. Denisov, Edison: Five Etudes for Solo Bassoon, row A, [0, 6, 1, 7, 8, 3, 2, 9, 10, 5, 11, 4], pc set (0, 1, 2, 5, 7, 8)
  83. Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  84. Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  85. Denisov, Edison: Five Etudes for Solo Bassoon, row D, [0, 6, 1, 7, 8, 3, 2, 9, 10, 11, 5, 4], pc set (0, 1, 2, 5, 7, 8)
  86. Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], pc set (0, 1, 2, 6, 7, 8)
  87. Denisov, Edison: Five Etudes for Solo Bassoon, row F, [0, 6, 1, 7, 3, 2, 8, 9, 10, 5, 11, 4], pc set (0, 1, 2, 3, 6, 7)
  88. Denisov, Edison: Five Etudes for Solo Bassoon, row I, [0, 6, 1, 7, 2, 8, 3, 10, 5, 11, 9, 4], pc set (0, 1, 2, 6, 7, 8)
  89. Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], pc set (0, 1, 2, 6, 7, 8)
  90. Denisov, Edison: Octet for Winds, mvt 2, row A, [0, 1, 3, 2, 4, 5, 8, 7, 6, 11, 9, 10], pc set (0, 1, 2, 3, 4, 5)
  91. Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], pc set (0, 1, 2, 6, 7, 8)
  92. Dessau, Paul: Les Voix, [0, 11, 6, 8, 9, 3, 4, 10, 5, 7, 2, 1], pc set (0, 1, 3, 4, 6, 9)
  93. Fano, Michel: Sonata for Two Pianos, [0, 6, 10, 7, 9, 8, 3, 2, 4, 1, 5, 11], pc set (0, 1, 2, 3, 4, 6)
  94. Fine, Vivian: Four Songs, No. 2, “Comfort To A Youth That Had Lost His Love”, [0, 1, 2, 6, 9, 10, 11, 3, 5, 4, 7, 8], pc set (0, 1, 2, 4, 5, 8)
  95. Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  96. Finney, Ross Lee: Concerto for Alto Sax, [0, 1, 3, 4, 6, 9, 11, 10, 8, 7, 5, 2], pc set (0, 1, 3, 4, 6, 9)
  97. Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 1-2-11-2-1-1-
  98. Finney, Ross Lee: Fantasy in Two Movements for solo violin, [0, 1, 3, 5, 4, 2, 11, 10, 8, 6, 7, 9], pc set (0, 1, 2, 3, 4, 5)
  99. Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], pc set (0, 1, 2, 3, 4, 5)
  100. Gerhard, Roberto: String Quartet, [0, 7, 8, 2, 6, 10, 9, 11, 4, 5, 1, 3], pc set (0, 1, 2, 4, 6, 8)
  101. Gerhard, Roberto: String Quartet no. 2, [0, 1, 5, 2, 8, 7, 10, 9, 6, 11, 4, 3], pc set (0, 1, 2, 5, 7, 8)
  102. Gerhard, Roberto: The Plague, [0, 1, 9, 11, 8, 10, 4, 5, 6, 2, 3, 7], pc set (0, 1, 2, 3, 4, 5)
  103. Gerhard, Roberto: Three Impromptus, [0, 8, 1, 10, 4, 6, 7, 5, 3, 2, 9, 11], pc set (0, 1, 3, 5, 7, 9)
  104. Gerhard, Roberto: Capriccio for Solo Flute, [0, 11, 9, 3, 1, 10, 8, 6, 4, 7, 2, 5], pc set (0, 1, 2, 3, 4, 6)
  105. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 1, [0, 1, 6, 7, 8, 2, 10, 11, 5, 4, 9, 3], pc set (0, 1, 2, 6, 7, 8)
  106. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 2, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-3-1-1-9-5-
  107. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 3, [0, 5, 6, 11, 2, 1, 8, 7, 10, 4, 9, 3], pc set (0, 1, 2, 3, 6, 7)
  108. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1], pc set (0, 1, 2, 3, 6, 7)
  109. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 5, [0, 1, 7, 6, 5, 11, 2, 8, 9, 10, 4, 3], pc set (0, 1, 2, 6, 7, 8)
  110. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 7, [0, 1, 8, 2, 7, 6, 5, 11, 9, 10, 4, 3], pc set (0, 1, 2, 6, 7, 8)
  111. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 3, [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10], pc set (0, 1, 3, 4, 6, 9)
  112. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11], pc set (0, 1, 2, 3, 4, 5)
  113. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], pc set (0, 1, 4, 5, 8, 9)
  114. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 7, [0, 9, 10, 11, 8, 7, 6, 3, 4, 5, 2, 1], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 9-1-1-9-11-11-
  115. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  116. Ginastera, Alberto: Violin Concerto, Op. 30, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-3-1-1-9-5-
  117. Ginastera, Alberto: Sonata for Cello and Piano, Op. 49, [0, 3, 2, 1, 10, 11, 8, 9, 5, 4, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  118. Ginastera, Alberto: Turbae ad Passionem Gregorianam, Op. 43, mvt II, [0, 5, 1, 7, 6, 11, 8, 2, 3, 4, 9, 10], pc set (0, 1, 2, 6, 7, 8)
  119. Ginastera, Alberto: Quintet, Op. 29, mvt.III, [0, 7, 3, 10, 2, 6, 9, 1, 4, 8, 11, 5], pc set (0, 1, 3, 5, 8, 9)
  120. Ginastera, Alberto: Quintet, Op. 29, Row Class III 1, [0, 11, 1, 8, 2, 7, 10, 3, 9, 4, 6, 5], pc set (0, 1, 2, 3, 6, 7)
  121. Ginastera, Alberto: Quintet, Op. 29, Row Class III 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  122. Ginastera, Alberto: Quintet, Op. 29, Row Class V, [0, 5, 4, 7, 3, 2, 6, 9, 8, 1, 10, 11], pc set (0, 2, 3, 4, 5, 7)
  123. Ginastera, Alberto: Quintet, Op. 29, Row Class VII 1, [0, 9, 10, 11, 4, 3, 6, 2, 1, 5, 8, 7], pc set (0, 1, 2, 3, 6, 7)
  124. Ginastera, Alberto: Quintet, Op. 29, Row Class VII 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  125. Ginastera, Alberto: Quintet, Op. 29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  126. Goehr, Alexander: Piano Trio, Op.20, [0, 6, 7, 4, 3, 8, 5, 9, 11, 2, 10, 1], pc set (0, 1, 2, 4, 5, 8)
  127. Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 1, [0, 6, 5, 7, 8, 11, 9, 10, 3, 4, 2, 1], pc set (0, 1, 2, 3, 6, 7)
  128. Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 3, [0, 3, 1, 2, 4, 10, 9, 11, 7, 8, 6, 5], pc set (0, 1, 2, 3, 4, 6)
  129. Ives, Charles: Tone Roads No. 3, [0, 11, 1, 3, 2, 10, 5, 8, 4, 7, 6, 9], pc set (0, 1, 2, 3, 4, 5)
  130. Ives, Charles: On the Antipodes, [0, 3, 11, 8, 4, 7, 10, 9, 6, 2, 5, 1], pc set (0, 1, 4, 5, 8, 9)
  131. Johnston, Ben: String Quartet No. 6, [0, 5, 10, 9, 3, 7, 11, 6, 1, 2, 8, 4], pc set (0, 2, 3, 5, 7, 9)
  132. Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], pc set (0, 2, 4, 5, 7, 9)
  133. Kokkonen, Joonas: Cello Concerto, mov. 2, row “II/A”, [0, 2, 7, 4, 3, 5, 6, 1, 11, 8, 10, 9], pc set (0, 2, 3, 4, 5, 7)
  134. Kokkonen, Joonas: Cello Concerto, mov. 2, row “II/B”, [0, 2, 3, 1, 4, 5, 7, 8, 6, 9, 10, 11], pc set (0, 1, 2, 3, 4, 5)
  135. Kokkonen, Joonas: Cello Concerto, mov. 2, row “II/C”, [0, 9, 11, 10, 7, 2, 6, 3, 5, 4, 1, 8], pc set (0, 2, 3, 4, 5, 7), self-rotational interval pattern 9-2-11-9-7-4-
  136. Kokkonen, Joonas: Woodwind Quintet, mov. 1, rows “I/A” and “I/B”, [0, 2, 11, 9, 10, 1, 3, 6, 4, 5, 7, 8], pc set (0, 1, 2, 3, 4, 5)
  137. Krenek, Ernst: Studies in Counterpoint, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], pc set (0, 1, 2, 3, 6, 7)
  138. Krenek, Ernst: String Quartet No. 6, Op. 78, [0, 10, 11, 8, 1, 9, 3, 7, 2, 4, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  139. Krenek, Ernst: Sonata no. 3, Op. 92 no. 4, [0, 10, 5, 8, 3, 2, 6, 7, 1, 9, 11, 4], pc set (0, 2, 3, 5, 7, 9)
  140. Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5], pc set (0, 1, 2, 3, 4, 5)
  141. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 1, [0, 2, 4, 5, 8, 10, 6, 7, 9, 11, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  142. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 2, [0, 2, 3, 6, 8, 10, 5, 7, 9, 11, 1, 4], pc set (0, 1, 3, 5, 7, 9)
  143. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 3, [0, 1, 4, 6, 8, 10, 5, 7, 9, 11, 2, 3], pc set (0, 1, 3, 5, 7, 9)
  144. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 4, [0, 3, 5, 7, 9, 11, 6, 8, 10, 1, 2, 4], pc set (0, 1, 3, 5, 7, 9)
  145. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 5, [0, 2, 4, 6, 8, 9, 5, 7, 10, 11, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  146. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 6, [0, 2, 4, 6, 7, 10, 5, 8, 9, 11, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  147. Krenek, Ernst: Kette, Kreis, und Spiegel (Circle, Chain and Mirror), Op.160, [0, 5, 6, 9, 8, 4, 10, 7, 11, 3, 1, 2], pc set (0, 1, 2, 4, 5, 8)
  148. Krenek, Ernst: Quaestio temporis, Op. 170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  149. Krenek, Ernst: Sechs Vermessene, Op. 168, [0, 3, 1, 6, 2, 4, 10, 5, 9, 7, 8, 11], pc set (0, 1, 2, 3, 4, 6)
  150. Krenek, Ernst: Sestina, Op. 161, [0, 8, 11, 10, 4, 6, 7, 1, 5, 3, 9, 2], pc set (0, 1, 2, 4, 6, 8)
  151. Krenek, Ernst: Suite, Op. 84 for solo cello, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], pc set (0, 1, 2, 3, 6, 7)
  152. Krenek, Ernst: Karl V, King Francis Row, [0, 10, 5, 6, 11, 3, 9, 4, 2, 7, 1, 8], pc set (0, 1, 2, 5, 7, 8)
  153. Krenek, Ernst: Eight Piano Pieces, [0, 10, 1, 7, 6, 11, 5, 8, 3, 9, 2, 4], pc set (0, 1, 2, 3, 6, 7)
  154. Krenek, Ernst: Zwölf Variationen in Drei Satzen, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 6, 8], pc set (0, 2, 3, 4, 5, 7)
  155. Leibowitz, René: Trois pièces pour piano, Op. 19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11], pc set (0, 1, 2, 3, 4, 5)
  156. Leibowitz, René: String Quartet no.3, Op. 26, [0, 8, 9, 7, 6, 1, 2, 5, 4, 10, 11, 3], pc set (0, 1, 2, 3, 6, 7)
  157. Lewin, David: Just a Minute, Roger, [0, 11, 4, 5, 7, 3, 2, 6, 8, 1, 10, 9], pc set (0, 1, 4, 5, 6, 8)
  158. Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], pc set (0, 1, 2, 6, 7, 8), self-rotational interval pattern 6-11-6-11-6-5-
  159. Lutyens, Elisabeth: Essence Of Our Happinesses Op.69, mvt II, Part I, [0, 11, 1, 10, 2, 3, 8, 9, 5, 6, 4, 7], pc set (0, 1, 2, 3, 4, 5)
  160. Lutyens, Elisabeth: Five Little Pieces for Clarinet and Piano, [0, 8, 4, 1, 10, 2, 9, 3, 5, 6, 11, 7], pc set (0, 2, 3, 4, 6, 8)
  161. Lutyens, Elisabeth: Islands Op.80, [0, 11, 7, 3, 8, 10, 9, 6, 4, 5, 1, 2], pc set (0, 1, 3, 4, 5, 8)
  162. Lutyens, Elisabeth: Motet (Excerota Tractati Logico-Philosophici), Op.27, [0, 11, 3, 7, 8, 4, 2, 6, 5, 1, 9, 10], pc set (0, 1, 4, 5, 8, 9)
  163. Lutyens, Elisabeth: Présages, Op. 53, [0, 1, 11, 2, 10, 8, 5, 3, 4, 7, 9, 6], pc set (0, 1, 2, 3, 4, 6)
  164. Lutyens, Elisabeth: Quincunx Op.44, [0, 6, 11, 1, 5, 2, 7, 3, 4, 9, 10, 8], pc set (0, 1, 2, 3, 6, 7)
  165. Lutyens, Elisabeth: The Numbered, Altered Primary Row (swap pitches 2 and 3), [0, 11, 10, 1, 2, 9, 3, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  166. Lutyens, Elisabeth: The Numbered, Primary Row, [0, 10, 11, 1, 2, 9, 3, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  167. Mamlok, Ursula: Panta Rhei, [0, 7, 4, 11, 8, 3, 10, 9, 6, 2, 5, 1], pc set (0, 1, 4, 5, 8, 9)
  168. Mamlok, Ursula: Panta Rhei, secondary row (mvt 4, Piano), [0, 11, 8, 3, 4, 7, 2, 1, 6, 9, 10, 5], pc set (0, 1, 4, 5, 8, 9)
  169. Mamlok, Ursula: Haiku Settings, no. 5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], pc set (0, 1, 4, 5, 8, 9)
  170. Martino, Donald: Fantasy Variations, [0, 3, 1, 10, 2, 8, 11, 5, 6, 9, 7, 4], pc set (0, 1, 2, 3, 5, 7)
  171. Martino, Donald: Notturno (Row B), [0, 7, 11, 10, 9, 8, 2, 1, 6, 3, 4, 5], pc set (0, 1, 2, 3, 4, 5)
  172. Matthias, Josef: Salambo, Op. 60, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], pc set (0, 2, 3, 4, 6, 8)
  173. Messiaen, Olivier: Mode de valeurs et d’intensités, Series 1, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], pc set (0, 1, 2, 3, 6, 7)
  174. Moevs, Robert: Musica da Camera, [0, 1, 11, 3, 4, 2, 9, 10, 8, 7, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  175. Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  176. Morris, Robert: Exchanges, [0, 4, 3, 1, 9, 5, 8, 6, 2, 10, 11, 7], pc set (0, 1, 2, 4, 5, 8)
  177. Morris, Robert: Cuts, [0, 10, 11, 7, 3, 8, 6, 9, 4, 5, 1, 2], pc set (0, 1, 3, 4, 5, 8)
  178. Morris, Robert: Clash, [0, 3, 11, 10, 8, 1, 7, 9, 2, 6, 4, 5], pc set (0, 2, 3, 4, 5, 7)
  179. Morris, Robert: Pari Passu, row 1, [0, 6, 10, 11, 2, 3, 9, 1, 7, 8, 4, 5], pc set (0, 1, 2, 4, 5, 8)
  180. Morris, Robert: Three Musicians, [0, 9, 7, 6, 8, 1, 11, 2, 4, 5, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  181. Morris, Robert: Terrane, [0, 11, 1, 3, 2, 5, 6, 4, 9, 7, 8, 10], pc set (0, 1, 2, 3, 4, 6)
  182. Morris, Robert: Canonic Variations, [0, 3, 11, 1, 4, 8, 5, 6, 9, 10, 2, 7], pc set (0, 1, 3, 4, 5, 8)
  183. Morris, Robert: Concerto for Piano and Strings, [0, 1, 6, 11, 7, 5, 10, 8, 4, 3, 2, 9], pc set (0, 1, 2, 6, 7, 8)
  184. Morris, Robert: By Far, [0, 1, 4, 11, 3, 2, 6, 7, 5, 10, 8, 9], pc set (0, 1, 2, 3, 4, 5)
  185. Morris, Robert: Refrains, [0, 3, 4, 2, 6, 10, 1, 8, 11, 7, 5, 9], pc set (0, 2, 3, 4, 6, 8)
  186. Morris, Robert: Entanglements, [0, 3, 10, 5, 11, 6, 1, 7, 9, 2, 8, 4], pc set (0, 1, 2, 5, 7, 8)
  187. Morris, Robert: Something New, [0, 9, 4, 8, 11, 7, 3, 6, 10, 5, 2, 1], pc set (0, 1, 3, 4, 5, 8)
  188. Morris, Robert: Tête‐à‐Tête, [0, 3, 11, 10, 1, 8, 2, 6, 9, 5, 4, 7], pc set (0, 2, 3, 4, 5, 7)
  189. Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], pc set (0, 1, 3, 4, 5, 8)
  190. Morris, Robert: Roundelay, row 1, [0, 7, 4, 11, 9, 2, 6, 3, 10, 5, 8, 1], pc set (0, 2, 4, 5, 7, 9)
  191. Morris, Robert: Roundelay, row 2, [0, 5, 9, 7, 8, 10, 4, 11, 1, 6, 2, 3], pc set (0, 2, 3, 4, 5, 7)
  192. Morris, Robert: Roundelay, row 3, [0, 10, 9, 3, 4, 6, 8, 11, 2, 7, 1, 5], pc set (0, 1, 3, 6, 7, 9)
  193. Morris, Robert: Roundelay, row 4, [0, 3, 11, 10, 7, 2, 6, 9, 5, 4, 1, 8], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-8-11-9-7-4-
  194. Morris, Robert: Roundelay, row 5, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  195. Morris, Robert: Roundelay, row 6, [0, 10, 5, 11, 4, 6, 8, 7, 2, 3, 9, 1], pc set (0, 1, 2, 6, 7, 8)
  196. Morris, Robert: Strange Flowers, Occasional Storms, [0, 1, 8, 3, 5, 4, 10, 6, 9, 7, 11, 2], pc set (0, 1, 3, 4, 5, 8)
  197. Morris, Robert: …gradually…, [0, 1, 8, 3, 5, 4, 6, 7, 9, 11, 2, 10], pc set (0, 1, 3, 4, 5, 8)
  198. Nichols, Jeff: …its darkening opposite, or Set Portrait in a Convex Mirror, [0, 4, 8, 7, 11, 2, 3, 6, 1, 9, 10, 5], pc set (0, 1, 3, 5, 8, 9)
  199. Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  200. Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  201. Nono, Luigi: Variazioni canoniche sulla serie dell’op. 41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4, 5, 8, 9)
  202. Nono, Luigi: Incontri, [0, 2, 3, 8, 9, 6, 4, 5, 7, 11, 1, 10], pc set (0, 1, 3, 6, 7, 9)
  203. Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  204. Nono, Luigi: Intolleranza, Soprano 1, [0, 3, 4, 7, 8, 5, 6, 9, 10, 1, 2, 11], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-1-3-1-9-1-
  205. Nono, Luigi: Composizione per orchestra No. 1, [0, 1, 7, 6, 2, 8, 4, 3, 5, 10, 11, 9], pc set (0, 1, 2, 6, 7, 8)
  206. Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  207. Nono, Luigi: La terra e la compagna (sketch), Series 2, [0, 6, 1, 7, 11, 5, 2, 8, 10, 4, 3, 9], pc set (0, 1, 2, 6, 7, 8)
  208. Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], pc set (0, 1, 3, 4, 6, 9)
  209. Nono, Luigi: La terra e la compagna (sketch), Series 5, [0, 7, 2, 4, 9, 10, 5, 1, 6, 11, 8, 3], pc set (0, 2, 3, 5, 7, 9)
  210. Nono, Luigi: La terra e la compagna (sketch), Series 7, [0, 5, 3, 10, 7, 1, 8, 9, 2, 6, 11, 4], pc set (0, 2, 3, 5, 7, 9)
  211. Nono, Luigi: La terra e la compagna (sketch), Series 8, [0, 4, 5, 11, 3, 6, 10, 2, 7, 9, 1, 8], pc set (0, 1, 2, 3, 6, 7)
  212. Papaioannou, Yannis: Songs of the Lake, no. 1, [0, 8, 5, 7, 6, 11, 2, 10, 1, 3, 9, 4], pc set (0, 1, 2, 3, 6, 7)
  213. Papaioannou, Yannis: Songs of the Lake, no. 2, [0, 7, 4, 6, 5, 1, 9, 2, 8, 10, 3, 11], pc set (0, 1, 2, 3, 6, 7)
  214. Papaioannou, Yannis: Songs of the Lake, no. 4, [0, 5, 11, 9, 6, 10, 7, 2, 3, 1, 4, 8], pc set (0, 1, 2, 3, 6, 7)
  215. Papaioannou, Yannis: Suite, “XP”, [0, 4, 2, 1, 6, 8, 3, 9, 7, 10, 5, 11], pc set (0, 1, 2, 4, 6, 8)
  216. Papaioannou, Yannis: Suite, “YP”, [0, 10, 9, 8, 1, 4, 5, 7, 3, 6, 2, 11], pc set (0, 1, 2, 4, 5, 8)
  217. Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  218. Pärt, Arvo: Perpetuum Mobile, [0, 11, 10, 5, 6, 9, 7, 1, 2, 8, 3, 4], pc set (0, 1, 2, 3, 6, 7)
  219. Pärt, Arvo: Symphony No. 1, [0, 1, 2, 7, 6, 3, 5, 11, 10, 4, 9, 8], pc set (0, 1, 2, 3, 6, 7)
  220. Pentland, Barbara: String Quartet No. 3, [0, 11, 3, 6, 5, 9, 10, 8, 1, 2, 7, 4], pc set (0, 1, 3, 6, 7, 9)
  221. Pousseur, Henri: Trois Chants Sacrés, [0, 10, 11, 4, 1, 5, 9, 6, 3, 7, 2, 8], pc set (0, 1, 2, 3, 6, 7)
  222. Reynolds, Roger: Ambages, [0, 1, 4, 5, 7, 6, 8, 9, 10, 11, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  223. Rochberg, George: String Quartet No. 2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], pc set (0, 1, 2, 3, 6, 7)
  224. Rochberg, George: Sonata-Fantasia, [0, 11, 10, 4, 5, 6, 9, 8, 7, 1, 2, 3], pc set (0, 1, 2, 6, 7, 8), self-rotational interval pattern 11-11-6-1-1-3-
  225. Rochberg, George: Symphony no. 2, [0, 8, 1, 4, 9, 5, 6, 2, 3, 10, 11, 7], pc set (0, 1, 4, 5, 8, 9)
  226. Santoro, Claudio: Sonata no. 1, [0, 10, 3, 8, 11, 1, 2, 9, 7, 4, 5, 6], pc set (0, 2, 3, 4, 5, 7)
  227. Santoro, Claudio: Preludes 18–20, [0, 9, 1, 3, 2, 8, 10, 4, 6, 5, 7, 11], pc set (0, 1, 2, 3, 6, 7)
  228. Santoro, Claudio: Peças para Piano, [0, 11, 4, 5, 1, 9, 2, 3, 7, 8, 6, 10], pc set (0, 1, 4, 5, 6, 8)
  229. Santoro, Claudio: Six Piano Pieces, [0, 10, 4, 1, 11, 2, 5, 6, 3, 9, 7, 8], pc set (0, 1, 2, 3, 4, 6)
  230. Schnittke, Alfred: Concerto Grosso no. 1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], pc set (0, 1, 2, 3, 6, 7)
  231. Schnittke, Alfred: Concerto Grosso No. 3, monogram 1, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7], pc set (0, 1, 3, 5, 8, 9)
  232. Schnittke, Alfred: Concerto Grosso No. 3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], pc set (0, 1, 2, 3, 4, 5)
  233. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  234. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 7, [0, 3, 11, 9, 10, 1, 4, 2, 7, 8, 5, 6], pc set (0, 1, 2, 3, 4, 6)
  235. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 8, [0, 11, 7, 9, 10, 8, 6, 5, 3, 4, 1, 2], pc set (0, 1, 2, 3, 4, 5)
  236. Schnittke, Alfred: Viola Concerto, [0, 11, 5, 2, 1, 6, 3, 8, 7, 4, 10, 9], pc set (0, 1, 2, 3, 6, 7)
  237. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 1, [0, 3, 6, 10, 2, 11, 8, 5, 9, 1, 4, 7], pc set (0, 1, 2, 4, 5, 8)
  238. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 2, [0, 3, 7, 10, 2, 11, 6, 9, 1, 4, 8, 5], pc set (0, 1, 3, 4, 5, 8), self-rotational interval pattern 3-4-3-4-9-7-
  239. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, [0, 2, 3, 1, 4, 5, 11, 10, 7, 9, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  240. Schnittke, Alfred: Concerto No. 2 for Violin and Chamber Orchestra, [0, 11, 1, 2, 10, 3, 4, 9, 5, 6, 8, 7], pc set (0, 1, 2, 3, 4, 5)
  241. Schnittke, Alfred: Symphony No. 7, mvt 3, row X, [0, 1, 10, 11, 2, 3, 9, 4, 5, 8, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  242. Schnittke, Alfred: Symphony No. 7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], pc set (0, 1, 2, 3, 4, 5)
  243. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-10-1-10-11-11-
  244. Schnittke, Alfred: String Quartet no. 4, mvt 2, m.40, [0, 5, 10, 3, 2, 7, 8, 1, 6, 11, 4, 9], pc set (0, 2, 4, 5, 7, 9)
  245. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.122, [0, 1, 11, 2, 10, 3, 4, 9, 8, 7, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  246. Schnittke, Alfred: Violin Sonata 2, [0, 10, 11, 9, 6, 8, 7, 5, 4, 1, 2, 3], pc set (0, 1, 2, 3, 4, 6)
  247. Schoenberg, Arnold: A Survivor From Warsaw, Op. 46, [0, 1, 6, 2, 10, 9, 5, 4, 11, 3, 7, 8], pc set (0, 1, 2, 4, 5, 8)
  248. Schoenberg, Arnold: Accompaniment to a Film Scene, Op. 34, [0, 3, 11, 1, 10, 9, 6, 8, 7, 5, 2, 4], pc set (0, 1, 2, 3, 4, 6)
  249. Schoenberg, Arnold: Psalm 130, De Profundis (unfinished), Op. 50B, [0, 6, 5, 1, 11, 7, 4, 8, 9, 3, 2, 10], pc set (0, 1, 2, 6, 7, 8)
  250. Schoenberg, Arnold: Fantasy for Violin and Piano, Op. 47, [0, 11, 3, 1, 7, 9, 5, 6, 2, 4, 10, 8], pc set (0, 2, 3, 4, 6, 8)
  251. Schoenberg, Arnold: Five Piano Pieces, Op. 23, No. 5, [0, 8, 10, 6, 7, 5, 9, 1, 3, 2, 11, 4], pc set (0, 1, 2, 3, 5, 7)
  252. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 1, Op. 27 No. 1, [0, 11, 8, 2, 1, 7, 9, 10, 4, 3, 5, 6], pc set (0, 1, 2, 3, 6, 7)
  253. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 2, Op. 27 No. 2, [0, 11, 4, 10, 2, 8, 3, 7, 6, 5, 9, 1], pc set (0, 2, 3, 4, 6, 8)
  254. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 3, Op. 27 No. 3, [0, 11, 7, 9, 10, 8, 4, 5, 1, 3, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  255. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 4, Op. 27 No. 4, [0, 2, 9, 5, 7, 3, 10, 11, 1, 8, 4, 6], pc set (0, 2, 3, 5, 7, 9)
  256. Schoenberg, Arnold: Modern Psalms, The First Psalm, Op. 50c, [0, 11, 8, 4, 7, 3, 1, 5, 2, 6, 9, 10], pc set (0, 1, 4, 5, 8, 9)
  257. Schoenberg, Arnold: Moses und Aron, [0, 1, 7, 5, 6, 4, 10, 8, 9, 11, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  258. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 11-4-1-4-11-7-
  259. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], pc set (0, 1, 4, 5, 8, 9)
  260. Schoenberg, Arnold: Phantasia for Piano (Four Hands), [0, 4, 2, 5, 3, 7, 11, 10, 1, 8, 9, 6], pc set (0, 2, 3, 4, 5, 7)
  261. Schoenberg, Arnold: Piano Concerto, Op. 42, [0, 7, 11, 2, 1, 9, 3, 5, 10, 6, 8, 4], pc set (0, 1, 2, 3, 5, 7)
  262. Schoenberg, Arnold: Prelude To A Suite From “Genesis”, Op. 44, [0, 8, 4, 7, 6, 2, 1, 10, 3, 5, 11, 9], pc set (0, 1, 2, 4, 6, 8)
  263. Schoenberg, Arnold: Serenade, mvt 4, “Sonett”, Op. 24, [0, 10, 11, 7, 8, 9, 4, 2, 5, 1, 3, 6], pc set (0, 1, 2, 3, 4, 5)
  264. Schoenberg, Arnold: Serenade, mvt 5, “Tanzscene”, Op. 24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5], pc set (0, 1, 3, 6, 7, 9)
  265. Schoenberg, Arnold: Six Pieces for Male Chorus, No. 1, Op. 35, [0, 9, 1, 3, 2, 11, 6, 8, 7, 4, 10, 5], pc set (0, 1, 2, 3, 4, 6)
  266. Schoenberg, Arnold: Six Pieces for Male Chorus, No. 2, Op. 35, [0, 3, 1, 7, 6, 8, 11, 5, 4, 9, 10, 2], pc set (0, 1, 2, 5, 7, 8)
  267. Schoenberg, Arnold: Six Pieces for Male Chorus, No. 5, Op. 35, [0, 6, 9, 1, 2, 10, 7, 3, 11, 5, 4, 8], pc set (0, 1, 2, 4, 5, 8)
  268. Schoenberg, Arnold: Sonata For Organ, [0, 6, 10, 2, 8, 1, 7, 5, 9, 4, 11, 3], pc set (0, 1, 2, 4, 6, 8)
  269. Schoenberg, Arnold: String Quartet No. 4, Op. 37, [0, 11, 7, 8, 3, 1, 2, 10, 6, 5, 4, 9], pc set (0, 1, 4, 5, 6, 8)
  270. Schoenberg, Arnold: String Trio, Op. 45, [0, 8, 1, 7, 2, 11, 9, 6, 4, 5, 3, 10], pc set (0, 1, 2, 3, 6, 7)
  271. Schoenberg, Arnold: Suite for Piano, Op. 25, [0, 1, 3, 9, 2, 11, 4, 10, 7, 8, 5, 6], pc set (0, 1, 2, 3, 4, 6)
  272. Schoenberg, Arnold: Suite, Op. 29, [0, 4, 3, 7, 11, 8, 9, 6, 5, 1, 2, 10], pc set (0, 1, 4, 5, 8, 9)
  273. Schoenberg, Arnold: Three Satires for Mixed Chorus, No. 3, Op. 28 No. 3, [0, 1, 11, 3, 9, 5, 2, 4, 10, 6, 8, 7], pc set (0, 2, 3, 4, 6, 8)
  274. Schoenberg, Arnold: Three Songs, No. 2, “Tot”, Op. 48, [0, 1, 7, 11, 8, 2, 6, 5, 10, 9, 3, 4], pc set (0, 1, 2, 3, 6, 7)
  275. Schoenberg, Arnold: Three Songs, No. 3, “Madchenlied”, Op. 48, [0, 6, 8, 10, 2, 4, 9, 5, 3, 11, 7, 1], pc set (0, 2, 4, 6, 8, 10)
  276. Schoenberg, Arnold: Three Times a Thousand Years, Op. 50a, [0, 2, 11, 9, 10, 4, 3, 7, 5, 6, 8, 1], pc set (0, 1, 2, 3, 5, 7)
  277. Schoenberg, Arnold: Two Piano Pieces, No. 1, Op. 33a, [0, 7, 2, 1, 11, 8, 3, 5, 9, 10, 4, 6], pc set (0, 1, 2, 3, 6, 7)
  278. Schoenberg, Arnold: Two Piano Pieces, No. 2, Op. 33b, [0, 2, 6, 4, 10, 9, 7, 11, 8, 5, 1, 3], pc set (0, 1, 3, 5, 7, 9)
  279. Schoenberg, Arnold: Variations for Orchestra, Op. 31, [0, 6, 8, 5, 7, 11, 4, 3, 9, 10, 1, 2], pc set (0, 1, 2, 3, 6, 7)
  280. Schoenberg, Arnold: Violin Concerto, Op. 36, [0, 1, 6, 2, 7, 9, 3, 4, 10, 11, 5, 8], pc set (0, 1, 2, 5, 7, 8)
  281. Schoenberg, Arnold: Violin Phantasy, Op. 47, [0, 11, 3, 1, 7, 9, 6, 2, 10, 5, 8, 4], pc set (0, 2, 3, 4, 6, 8)
  282. Schoenberg, Arnold: Von Heute Auf Morgen, Op. 32, [0, 1, 7, 11, 9, 3, 6, 5, 2, 10, 8, 4], pc set (0, 2, 3, 4, 6, 8)
  283. Schoenberg, Arnold: Wind Quintet, Op. 26, [0, 4, 6, 8, 10, 9, 7, 11, 1, 3, 5, 2], pc set (0, 2, 3, 4, 6, 8)
  284. Schoenberg, Arnold: Fragment for Piano (Four Hands), [0, 3, 6, 1, 7, 8, 2, 5, 11, 4, 10, 9], pc set (0, 1, 2, 5, 7, 8)
  285. Schuller, Gunther: Transformation, [0, 2, 4, 3, 8, 11, 9, 6, 5, 10, 7, 1], pc set (0, 1, 2, 4, 5, 8)
  286. Schwantner, Joseph: In Aeternum (Principal Row), [0, 4, 11, 6, 10, 5, 1, 9, 2, 7, 3, 8], pc set (0, 1, 2, 6, 7, 8)
  287. Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  288. Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], pc set (0, 1, 2, 6, 7, 8)
  289. Schwantner, Joseph: Modus Caelestis (m. 39), [0, 6, 11, 10, 5, 9, 4, 8, 3, 2, 7, 1], pc set (0, 1, 2, 3, 6, 7)
  290. Schwantner, Joseph: Elixir (Consortium VIII), [0, 8, 4, 3, 7, 11, 10, 6, 9, 5, 1, 2], pc set (0, 1, 4, 5, 8, 9)
  291. Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 1-3-1-3-1-9-
  292. Schwantner, Joseph: …and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], pc set (0, 1, 4, 5, 8, 9), self-rotational interval pattern 11-9-11-9-11-11-
  293. Schwantner, Joseph: Wild Angels of the Open Hills, 2, “Angels of the Shadowed Ancient Land,” m. 21, [0, 8, 9, 11, 3, 7, 6, 5, 2, 4, 10, 1], pc set (0, 1, 2, 4, 5, 8)
  294. Searle, Humphrey: Toccata alla Passacaglia Op. 31, [0, 5, 6, 1, 10, 7, 9, 8, 3, 2, 4, 11], pc set (0, 1, 2, 5, 7, 8)
  295. Seiber, Mátyás: String Quartet no. 2, [0, 2, 3, 1, 4, 11, 5, 10, 7, 9, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  296. Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], pc set (0, 1, 2, 3, 6, 7)
  297. Seiber, Mátyás: Sonata for Violin and Piano, [0, 1, 11, 10, 7, 6, 8, 9, 4, 3, 5, 2], pc set (0, 1, 2, 3, 6, 7)
  298. Sessions, Roger: When Lilacs Last in the Dooryard Bloom’d, [0, 2, 4, 10, 5, 8, 9, 1, 11, 7, 6, 3], pc set (0, 1, 3, 5, 7, 9)
  299. Sessions, Roger: Piano Sonata no. 3, mvt 2, [0, 1, 5, 4, 8, 2, 11, 10, 6, 7, 3, 9], pc set (0, 1, 2, 4, 5, 8)
  300. Shapey, Ralph: String Quartet No. 9, [0, 8, 9, 3, 5, 1, 2, 6, 4, 10, 11, 7], pc set (0, 1, 3, 5, 8, 9)
  301. Shostakovich, Dmitri: Symphony No. 14, mov. I, [0, 11, 9, 4, 3, 10, 8, 7, 5, 6, 1, 2], pc set (0, 1, 2, 3, 6, 7)
  302. Slonimsky, Nicolas: N/A – “Grandmother chord”, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  303. Smith, Hale: Contours for Orchestra, [0, 5, 6, 4, 10, 11, 7, 2, 1, 3, 9, 8], pc set (0, 1, 2, 6, 7, 8)
  304. Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  305. Stockhausen, Karlheinz: Choral, [0, 1, 10, 6, 8, 3, 5, 2, 4, 11, 9, 7], pc set (0, 2, 3, 5, 7, 9)
  306. Stockhausen, Karlheinz: Klavierstück IV row 3, [0, 7, 1, 10, 11, 9, 5, 8, 4, 3, 2, 6], pc set (0, 1, 2, 3, 4, 6)
  307. Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  308. Stockhausen, Karlheinz: Kreuzspiel, [0, 10, 9, 11, 7, 2, 8, 1, 4, 6, 5, 3], pc set (0, 2, 3, 4, 5, 7)
  309. Stockhausen, Karlheinz: Plus-Minus, [0, 1, 7, 9, 8, 6, 3, 10, 2, 5, 11, 4], pc set (0, 1, 2, 3, 6, 7)
  310. Stockhausen, Karlheinz: Tierkreis, Aries, [0, 3, 2, 9, 7, 8, 11, 6, 1, 5, 4, 10], pc set (0, 1, 2, 5, 7, 8)
  311. Stockhausen, Karlheinz: Tierkreis, Scorpio, [0, 4, 3, 11, 7, 8, 10, 9, 2, 5, 1, 6], pc set (0, 1, 4, 5, 8, 9)
  312. Stockhausen, Karlheinz: Tierkreis, Sagittarius, [0, 6, 5, 2, 3, 4, 7, 8, 9, 10, 11, 1], pc set (0, 1, 2, 3, 4, 6)
  313. Stockhausen, Karlheinz: Tierkreis, Cancer, [0, 7, 11, 10, 9, 8, 3, 6, 4, 1, 5, 2], pc set (0, 1, 2, 3, 4, 5)
  314. Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  315. Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], pc set (0, 1, 2, 3, 4, 5)
  316. Stockhausen, Karlheinz: Licht, Eve formula, [0, 4, 3, 2, 5, 6, 10, 11, 9, 1, 7, 8], pc set (0, 1, 2, 3, 4, 6)
  317. Stravinsky, Igor: A Sermon, a Narrative and a Prayer, [0, 1, 9, 11, 10, 7, 8, 3, 4, 6, 5, 2], pc set (0, 1, 2, 3, 4, 6)
  318. Stravinsky, Igor: Agon, “Pas de deux”, “Four trios”, [0, 1, 4, 3, 2, 5, 6, 9, 8, 11, 10, 7], pc set (0, 1, 2, 3, 4, 5)
  319. Stravinsky, Igor: Canticum Sacrum, II, [0, 11, 9, 6, 10, 8, 7, 5, 2, 4, 3, 1], pc set (0, 1, 2, 3, 4, 6)
  320. Stravinsky, Igor: Canticum Sacrum, II & IV, [0, 11, 1, 3, 4, 2, 7, 6, 9, 5, 8, 10], pc set (0, 1, 2, 3, 4, 5)
  321. Stravinsky, Igor: Elegy for J.F.K., [0, 6, 4, 2, 8, 9, 3, 1, 11, 10, 7, 5], pc set (0, 1, 3, 5, 7, 9)
  322. Stravinsky, Igor: Fanfare for a New Theater, [0, 11, 1, 3, 4, 2, 5, 7, 6, 8, 10, 9], pc set (0, 1, 2, 3, 4, 5)
  323. Stravinsky, Igor: Movements, [0, 1, 7, 5, 6, 11, 9, 8, 10, 3, 4, 2], pc set (0, 1, 2, 6, 7, 8)
  324. Stravinsky, Igor: Requiem Canticles, 1st series, [0, 2, 10, 11, 1, 8, 6, 7, 9, 4, 3, 5], pc set (0, 1, 2, 3, 4, 6)
  325. Stravinsky, Igor: Variations “Aldous Huxley in Memoriam”, [0, 10, 7, 9, 2, 8, 6, 11, 1, 5, 4, 3], pc set (0, 1, 2, 3, 5, 7)
  326. Stravinsky, Igor: Introitus “T. S. Eliot in Memoriam”, [0, 5, 6, 4, 8, 9, 3, 2, 1, 10, 11, 7], pc set (0, 1, 2, 4, 5, 8)
  327. Talma, Louise: Six Etudes, Etude 1, [0, 3, 6, 8, 10, 2, 5, 7, 9, 1, 11, 4], pc set (0, 1, 3, 5, 7, 9)
  328. Talma, Louise: Six Etudes, Etude 4, [0, 1, 5, 9, 4, 8, 7, 6, 11, 2, 10, 3], pc set (0, 1, 4, 5, 8, 9)
  329. Talma, Louise: Six Etudes, Etude 5, [0, 4, 6, 11, 8, 3, 9, 1, 5, 7, 2, 10], pc set (0, 1, 3, 5, 8, 9)
  330. Talma, Louise: Six Etudes, Etude 6, [0, 8, 6, 9, 4, 5, 2, 1, 3, 10, 7, 11], pc set (0, 1, 2, 4, 5, 8)
  331. Talma, Louise: Piano Sonata 2, mvt 4, first row, [0, 4, 8, 2, 5, 10, 1, 11, 6, 9, 7, 3], pc set (0, 1, 3, 5, 7, 9)
  332. Talma, Louise: Three Bagatelles, Bagatelle 3, [0, 3, 4, 1, 5, 8, 10, 7, 2, 11, 6, 9], pc set (0, 1, 3, 4, 5, 8)
  333. Talma, Louise: Passacaglia and Fugue, [0, 4, 2, 9, 11, 7, 8, 3, 1, 6, 5, 10], pc set (0, 2, 4, 5, 7, 9)
  334. Volkonsky, Andrei: Musica Stricta, mvt 2, row A, [0, 6, 8, 9, 11, 10, 1, 7, 2, 3, 5, 4], pc set (0, 1, 2, 3, 4, 6)
  335. Volkonsky, Andrei: Musica Stricta, mvt 2, row D, [0, 4, 9, 2, 8, 10, 11, 1, 3, 7, 5, 6], pc set (0, 1, 2, 4, 6, 8)
  336. Volkonsky, Andrei: Musica Stricta, mvt 4, row G, [0, 6, 5, 4, 3, 2, 1, 11, 9, 10, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  337. Volkonsky, Andrei: Musica Stricta, mvt 4, row H, [0, 6, 4, 9, 8, 2, 7, 1, 11, 5, 10, 3], pc set (0, 1, 3, 5, 7, 9)
  338. Weber, Ben: Five Bagatelles for Piano, Op.2, mvt. ii, [0, 1, 2, 9, 6, 7, 4, 8, 5, 11, 10, 3], pc set (0, 1, 2, 5, 7, 8)
  339. Weber, Ben: Humoreske, Op. 49, [0, 2, 4, 5, 7, 10, 1, 11, 9, 8, 6, 3], pc set (0, 2, 3, 5, 7, 9)
  340. Weber, Ben: Fantasia (Variations), Op. 25, [0, 1, 5, 9, 10, 2, 6, 11, 7, 4, 3, 8], pc set (0, 1, 3, 4, 5, 8)
  341. Webern, Anton: 3 Lieder, “Erlösung”, Op. 18, No. 2, [0, 3, 11, 2, 10, 1, 9, 5, 8, 4, 7, 6], pc set (0, 1, 2, 3, 4, 5)
  342. Webern, Anton: 3 Volkstexte, “Heiland, Unsere Missetaten…”, Op. 17, No. 3, [0, 9, 8, 7, 11, 10, 4, 5, 6, 3, 2, 1], pc set (0, 1, 2, 3, 4, 5)
  343. Webern, Anton: 3 Volkstexte, “Liebste Jungfrau”, Op. 17, No. 2, [0, 11, 10, 6, 7, 1, 2, 5, 4, 3, 8, 9], pc set (0, 1, 2, 3, 6, 7)
  344. Webern, Anton: String Trio, Op. 20, [0, 11, 6, 5, 10, 9, 1, 2, 7, 8, 4, 3], pc set (0, 1, 2, 3, 6, 7)
  345. Webern, Anton: Quartet for Violin, Clarinet, Tenor Sax, And Piano, Op. 22, [0, 9, 8, 11, 10, 2, 3, 4, 5, 7, 1, 6], pc set (0, 1, 2, 3, 4, 6)
  346. Webern, Anton: Klavierstück, [0, 1, 2, 11, 10, 4, 5, 6, 9, 8, 7, 3], pc set (0, 1, 2, 3, 4, 6)
  347. Webern, Anton: Cantata I, Op. 29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5], pc set (0, 1, 2, 3, 4, 6)
  348. Webern, Anton: Concerto for Nine Instruments (Konzert), Op. 24, [0, 11, 3, 4, 8, 7, 9, 5, 6, 1, 2, 10], pc set (0, 1, 4, 5, 8, 9)
  349. Webern, Anton: Op. 32 (un-finished), initial sketch, [0, 1, 9, 11, 3, 2, 7, 6, 10, 8, 4, 5], pc set (0, 1, 2, 3, 4, 6)
  350. Webern, Anton: Op. 32 (un-finished), later sketch, [0, 1, 2, 11, 10, 9, 5, 4, 3, 6, 7, 8], pc set (0, 1, 2, 3, 4, 5)
  351. Webern, Anton: String Quartet, Op. 28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], pc set (0, 1, 2, 3, 6, 7)
  352. Webern, Anton: Symphony, Op. 21, [0, 3, 2, 1, 5, 4, 10, 11, 7, 8, 9, 6], pc set (0, 1, 2, 3, 4, 5)
  353. Webern, Anton: Three Songs on Texts by Hildegard Jone, Op. 25, [0, 9, 8, 11, 6, 10, 7, 4, 3, 5, 2, 1], pc set (0, 1, 2, 3, 4, 6)
  354. Webern, Anton: Variations for Orchestra, Op. 30, [0, 1, 4, 3, 2, 5, 6, 9, 8, 7, 10, 11], pc set (0, 1, 2, 3, 4, 5)
  355. Webern, Anton: Variations for Piano, Op. 27, [0, 8, 7, 11, 10, 9, 3, 1, 4, 2, 6, 5], pc set (0, 1, 2, 3, 4, 5)
  356. Westergaard, Peter: Mr. and Mrs. Discobbolos, [0, 2, 1, 4, 3, 5, 8, 6, 10, 7, 11, 9], pc set (0, 1, 2, 3, 4, 5)
  357. Wilson, Olly: Piece for Four’, [0, 8, 9, 4, 2, 6, 7, 11, 10, 3, 5, 1], pc set (0, 1, 3, 5, 7, 9)
  358. Wolpe, Stefan: Four Studies on Basic Rows, No.1 – Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], pc set (0, 1, 2, 6, 7, 8)
  359. Wolpe, Stefan: Four Studies on Basic Rows, No.2 – Study on Thirds, [0, 11, 9, 8, 10, 7, 6, 5, 3, 2, 4, 1], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 11-10-11-2-9-11-
  360. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 2-2-2-2-2-1-
  361. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 3-10-3-10-3-1-
  362. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1], pc set (0, 2, 4, 6, 8, 10), self-rotational interval pattern 4-4-6-4-4-5-
  363. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], pc set (0, 1, 2, 3, 4, 5), self-rotational interval pattern 9-4-9-4-9-7-
  364. Wuorinen, Charles: Piano Concerto No. 3, [0, 5, 2, 1, 11, 3, 10, 9, 4, 6, 8, 7], pc set (0, 1, 2, 3, 4, 6)
  365. Wuorinen, Charles: Reliquary for Igor Stravinsky, [0, 11, 7, 5, 6, 8, 2, 4, 9, 3, 1, 10], pc set (0, 1, 2, 3, 6, 7)
  366. Wuorinen, Charles: Sonata for Piano, [0, 3, 2, 4, 5, 1, 11, 8, 9, 7, 6, 10], pc set (0, 1, 2, 3, 4, 5)
  367. Wuorinen, Charles: Second Sonata, Source set, [0, 2, 10, 3, 5, 7, 6, 4, 1, 11, 9, 8], pc set (0, 2, 4, 5, 7, 9)
  368. Wuorinen, Charles: Second Sonata, Voice 2, [0, 2, 10, 9, 11, 1, 6, 4, 7, 5, 3, 8], pc set (0, 1, 2, 3, 4, 5)
  369. Wuorinen, Charles: Second Sonata, Voice 3, [0, 2, 4, 3, 5, 1, 9, 7, 11, 10, 8, 6], pc set (0, 1, 2, 3, 4, 5)
  370. Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], pc set (0, 2, 4, 5, 7, 9)
  371. Wuorinen, Charles: Flute Variations II, [0, 1, 3, 2, 5, 4, 9, 10, 6, 8, 7, 11], pc set (0, 1, 2, 3, 4, 5)
  372. Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 1, [0, 4, 2, 6, 5, 8, 7, 9, 3, 1, 10, 11], pc set (0, 2, 3, 4, 6, 8)
  373. Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 2, [0, 11, 10, 4, 2, 1, 3, 6, 5, 9, 7, 8], pc set (0, 1, 2, 3, 4, 6)
  374. Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 1, [0, 11, 1, 9, 10, 7, 5, 6, 8, 2, 3, 4], pc set (0, 1, 2, 3, 4, 6)
  375. Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 2, [0, 4, 2, 8, 5, 6, 7, 9, 3, 11, 10, 1], pc set (0, 2, 3, 4, 6, 8)
  376. Yun, Isang: Funf Stücke für Klavier, Stück 4, [0, 1, 7, 8, 11, 3, 4, 9, 5, 2, 6, 10], pc set (0, 1, 4, 5, 6, 8)
  377. Yun, Isang: Funf Stücke für Klavier, Stück 5, [0, 11, 6, 3, 2, 10, 9, 1, 5, 4, 8, 7], pc set (0, 1, 2, 4, 5, 8)
  378. Yun, Isang: Gasa, [0, 11, 7, 8, 6, 5, 2, 9, 10, 1, 3, 4], pc set (0, 1, 2, 3, 6, 7)
  379. Yun, Isang: Riul für Klarinette und Klavier, [0, 5, 6, 9, 8, 4, 3, 7, 1, 2, 11, 10], pc set (0, 1, 2, 4, 5, 8)
  380. Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], pc set (0, 2, 4, 6, 8, 10)

Transposition Combinatorial

When two rows are combinatorial, the first hexachord of each complements the other meaning that they make up the total chromatic together. This list gives rows in this section that are combinatorial by transposition, i.e. combinatoriality holds between P0 and at least one transposition of P. The transposition(s) are given after the row. In this case, there is only one transposition-combinatorial hexachord, and only one interval, so they are all P0-P6

  1. Carter, Elliott: Night Fantasies, [0, 10, 3, 11, 8, 7, 1, 2, 5, 9, 4, 6], P0-P6
  2. Copland, Aaron: Inscape, (“Y form” or “Row 1”), [0, 4, 3, 11, 2, 7, 6, 8, 10, 9, 5, 1], P0-P6
  3. Lutyens, Elisabeth: Islands Op.80, [0, 11, 7, 3, 8, 10, 9, 6, 4, 5, 1, 2], P0-P6
  4. Morris, Robert: Not Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], P0-P6
  5. Morris, Robert: Cuts, [0, 10, 11, 7, 3, 8, 6, 9, 4, 5, 1, 2], P0-P6
  6. Morris, Robert: Canonic Variations, [0, 3, 11, 1, 4, 8, 5, 6, 9, 10, 2, 7], P0-P6
  7. Morris, Robert: Something New, [0, 9, 4, 8, 11, 7, 3, 6, 10, 5, 2, 1], P0-P6
  8. Morris, Robert: Knot Lilacs, [0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6], P0-P6
  9. Morris, Robert: Roundelay, row 4, [0, 3, 11, 10, 7, 2, 6, 9, 5, 4, 1, 8], P0-P6
  10. Morris, Robert: Strange Flowers, Occasional Storms, [0, 1, 8, 3, 5, 4, 10, 6, 9, 7, 11, 2], P0-P6
  11. Morris, Robert: …gradually…, [0, 1, 8, 3, 5, 4, 6, 7, 9, 11, 2, 10], P0-P6
  12. Nono, Luigi: Intolleranza, Soprano 1, [0, 3, 4, 7, 8, 5, 6, 9, 10, 1, 2, 11], P0-P6
  13. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 2, [0, 3, 7, 10, 2, 11, 6, 9, 1, 4, 8, 5], P0-P6
  14. Talma, Louise: Three Bagatelles, Bagatelle 3, [0, 3, 4, 1, 5, 8, 10, 7, 2, 11, 6, 9], P0-P6
  15. Weber, Ben: Fantasia (Variations), Op. 25, [0, 1, 5, 9, 10, 2, 6, 11, 7, 4, 3, 8], P0-P6

Inversion Combinatorial

These rows are combinatorial by inversion. There are 13 such hexachords and some are combinatorial in more that one transposition, so the specific forms are given in the form P0-IX, or P0-IX,Y in the case of more than one match.

  1. Argento, Dominick: A Water Bird Talk, Lecturer Row, [0, 9, 5, 10, 2, 6, 3, 11, 8, 4, 1, 7], P0-I1
  2. Argento, Dominick: From the Diary of Virginia Woolf, [0, 7, 6, 2, 11, 5, 3, 1, 8, 9, 4, 10], P0-I3
  3. Bartók, Béla: Violin Concerto No. 2, mvt 1, [0, 2, 8, 1, 9, 4, 10, 6, 3, 7, 11, 5], P0-I7
  4. Bartók, Béla: Violin Concerto No. 2, mvt 3, [0, 8, 2, 9, 1, 4, 10, 7, 6, 3, 11, 5], P0-I7
  5. Bartók, Béla: String Quartet No. 4, [0, 5, 6, 11, 4, 9, 10, 3, 8, 1, 2, 7], P0-I7
  6. Beecroft, Norma: Improvvisazioni Concertanti No. 1, [0, 1, 11, 9, 3, 2, 7, 6, 10, 8, 4, 5], P0-I7
  7. Bennett, Richard Rodney: Five Studies for Piano, [0, 3, 5, 6, 11, 9, 4, 2, 7, 8, 10, 1], P0-I1,7
  8. Berg, Alban: Lulu, permutation of main row, [0, 4, 2, 7, 9, 6, 8, 11, 3, 1, 5, 10], P0-I5
  9. Berg, Alban: Lulu, Schoolboy row, [0, 2, 6, 10, 4, 7, 8, 3, 5, 9, 11, 1], P0-I3
  10. Berg, Alban: Lulu, Lulu (title character) row, [0, 2, 3, 5, 7, 9, 1, 10, 11, 4, 6, 8], P0-I1
  11. Berg, Alban: Lyric Suite, mvt III, [0, 11, 7, 1, 2, 9, 3, 8, 10, 4, 5, 6], P0-I5
  12. Berger, Arthur: Chamber Music for Thirteen Players, [0, 1, 11, 7, 10, 9, 6, 5, 8, 4, 2, 3], P0-I3
  13. Berio, Luciano: Chamber Music, [0, 9, 3, 5, 7, 10, 2, 11, 4, 6, 8, 1], P0-I11
  14. Boulez, Pierre: 2nd Piano Sonata, mvt II, Section 1, [0, 2, 1, 11, 3, 9, 8, 10, 7, 6, 5, 4], P0-I7
  15. Boulez, Pierre: Le Soleil des eaux, series I, [0, 6, 10, 2, 5, 1, 7, 11, 3, 4, 8, 9], P0-I9
  16. Boulez, Pierre: Le Soleil des eaux, series II, [0, 6, 10, 2, 5, 1, 4, 7, 11, 8, 3, 9], P0-I9
  17. Boulez, Pierre: Le Soleil des eaux, series III, [0, 11, 7, 2, 6, 5, 4, 8, 10, 1, 3, 9], P0-I3
  18. Boulez, Pierre: Structures Ia, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], P0-I1
  19. Boulez, Pierre: Pli selon pli, [0, 1, 8, 6, 7, 9, 4, 5, 11, 3, 2, 10], P0-I11
  20. Cage, John: Sonata for Clarinet, mvt 2, [0, 11, 9, 10, 8, 6, 5, 4, 3, 7, 2, 1], P0-I1
  21. Cage, John: Two pieces for Piano, [0, 11, 8, 3, 4, 2, 9, 7, 1, 5, 10, 6], P0-I9
  22. Carlos, Juan: Canciones y Baladas, Balada II, [0, 4, 10, 6, 3, 8, 7, 2, 5, 9, 1, 11], P0-I5
  23. Cordero, Roque: Soliloquios, [0, 1, 5, 11, 3, 2, 9, 8, 4, 10, 6, 7], P0-I9
  24. Cordero, Roque: Violin Concerto mvt 1-3, [0, 11, 6, 4, 8, 7, 5, 1, 3, 2, 10, 9], P0-I9
  25. Cordero, Roque: Concerto for Violin, mvt 2A, [0, 11, 6, 4, 7, 8, 5, 9, 3, 10, 1, 2], P0-I9
  26. Crosse, Gordon: Elegy for Small Orchestra, Op.1, [0, 11, 3, 1, 9, 10, 5, 6, 2, 4, 8, 7], P0-I5
  27. Dallapiccola, Luigi: Canti di Liberazione, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], P0-I7
  28. Dallapiccola, Luigi: Cinque canti, [0, 11, 5, 8, 6, 2, 7, 3, 1, 4, 10, 9], P0-I3,9
  29. Dallapiccola, Luigi: Dialoghi, [0, 1, 10, 2, 6, 4, 5, 3, 7, 11, 8, 9], P0-I9
  30. Dallapiccola, Luigi: Quattro liriche di Antonio Machado, i, iv, [0, 3, 5, 6, 8, 9, 11, 10, 7, 4, 2, 1], P0-I7
  31. Dallapiccola, Luigi: Liriche greche c: Sex Carmina Alcaei, [0, 3, 5, 6, 2, 9, 8, 7, 4, 1, 10, 11], P0-I1
  32. Dallapiccola, Luigi: ‘Intermezzo’ from the ‘Ciaccona’ (of ‘Ciaccona, intermezzo e adagio’), [0, 5, 6, 3, 8, 9, 7, 11, 10, 2, 1, 4], P0-I7
  33. Dallapiccola, Luigi: Il prigioniero, [0, 3, 6, 11, 9, 2, 1, 7, 8, 4, 5, 10], P0-I7
  34. Dallapiccola, Luigi: Tempus, ‘Ploratus’, [0, 1, 7, 6, 10, 4, 3, 2, 5, 11, 9, 8], P0-I3,9
  35. Dallapiccola, Luigi: Tempus, ‘Exhortatio’, [0, 11, 9, 3, 5, 6, 4, 7, 8, 2, 1, 10], P0-I1,7
  36. Dallapiccola, Luigi: Commiato, [0, 6, 5, 3, 9, 11, 10, 8, 7, 1, 2, 4], P0-I1,7
  37. Dallapiccola, Luigi: Quaderno musicale di Annalibera, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], P0-I7
  38. Dallapiccola, Luigi: Requiescant, [0, 2, 1, 3, 4, 6, 7, 9, 8, 10, 5, 11], P0-I11
  39. Dallapiccola, Luigi: Variazioni per orchestra, [0, 1, 5, 8, 10, 4, 3, 7, 9, 2, 11, 6], P0-I7
  40. Dallapiccola, Luigi: Il Prigioniero, “Hope”, [0, 1, 2, 3, 11, 5, 4, 10, 6, 7, 9, 8], P0-I9
  41. Davies, Peter Maxwell: Sonata for Trumpet and Piano, Op.1, [0, 7, 6, 2, 11, 10, 8, 9, 1, 5, 3, 4], P0-I3
  42. Davies, Peter Maxwell: Five Pieces for Piano, Op. 2, No. 2, [0, 7, 11, 1, 3, 5, 8, 6, 4, 9, 10, 2], P0-I9
  43. Denisov, Edison: Five Etudes for Solo Bassoon, row A, [0, 6, 1, 7, 8, 3, 2, 9, 10, 5, 11, 4], P0-I5
  44. Denisov, Edison: Five Etudes for Solo Bassoon, row D, [0, 6, 1, 7, 8, 3, 2, 9, 10, 11, 5, 4], P0-I5
  45. Denisov, Edison: Five Etudes for Solo Bassoon, row F, [0, 6, 1, 7, 3, 2, 8, 9, 10, 5, 11, 4], P0-I11
  46. Dessau, Paul: Les Voix, [0, 11, 6, 8, 9, 3, 4, 10, 5, 7, 2, 1], P0-I1
  47. Fano, Michel: Sonata for Two Pianos, [0, 6, 10, 7, 9, 8, 3, 2, 4, 1, 5, 11], P0-I11
  48. Fine, Vivian: Four Songs, No. 2, “Comfort To A Youth That Had Lost His Love”, [0, 1, 2, 6, 9, 10, 11, 3, 5, 4, 7, 8], P0-I5
  49. Finney, Ross Lee: Concerto for Alto Sax, [0, 1, 3, 4, 6, 9, 11, 10, 8, 7, 5, 2], P0-I11
  50. Gerhard, Roberto: String Quartet, [0, 7, 8, 2, 6, 10, 9, 11, 4, 5, 1, 3], P0-I11
  51. Gerhard, Roberto: String Quartet no. 2, [0, 1, 5, 2, 8, 7, 10, 9, 6, 11, 4, 3], P0-I11
  52. Gerhard, Roberto: Three Impromptus, [0, 8, 1, 10, 4, 6, 7, 5, 3, 2, 9, 11], P0-I3
  53. Gerhard, Roberto: Capriccio for Solo Flute, [0, 11, 9, 3, 1, 10, 8, 6, 4, 7, 2, 5], P0-I5
  54. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 3, [0, 5, 6, 11, 2, 1, 8, 7, 10, 4, 9, 3], P0-I9
  55. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 4, [0, 9, 10, 11, 6, 5, 8, 7, 2, 3, 4, 1], P0-I1
  56. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 8, [0, 1, 7, 6, 8, 9, 3, 2, 4, 5, 11, 10], P0-I11
  57. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 2, [0, 3, 6, 9, 2, 5, 8, 11, 4, 7, 10, 1], P0-I1
  58. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 3, [0, 9, 3, 2, 11, 6, 5, 1, 8, 7, 4, 10], P0-I7
  59. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 5, [0, 7, 1, 6, 4, 11, 5, 10, 8, 3, 9, 2], P0-I9
  60. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III S, [0, 6, 11, 5, 8, 2, 7, 1, 4, 10, 3, 9], P0-I3,9
  61. Ginastera, Alberto: Quintet, Op. 29, mvt.III, [0, 7, 3, 10, 2, 6, 9, 1, 4, 8, 11, 5], P0-I11
  62. Ginastera, Alberto: Quintet, Op. 29, Row Class III 1, [0, 11, 1, 8, 2, 7, 10, 3, 9, 4, 6, 5], P0-I5
  63. Ginastera, Alberto: Quintet, Op. 29, Row Class III 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], P0-I5
  64. Ginastera, Alberto: Quintet, Op. 29, Row Class VII 1, [0, 9, 10, 11, 4, 3, 6, 2, 1, 5, 8, 7], P0-I5
  65. Ginastera, Alberto: Quintet, Op. 29, Row Class VII 2, [0, 11, 1, 8, 2, 7, 5, 6, 4, 9, 3, 10], P0-I5
  66. Goehr, Alexander: Piano Trio, Op.20, [0, 6, 7, 4, 3, 8, 5, 9, 11, 2, 10, 1], P0-I5
  67. Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 1, [0, 6, 5, 7, 8, 11, 9, 10, 3, 4, 2, 1], P0-I9
  68. Husa, Karel: Poème for Viola and Chamber Orchestra, mvt 3, [0, 3, 1, 2, 4, 10, 9, 11, 7, 8, 6, 5], P0-I9
  69. Johnston, Ben: String Quartet No. 6, [0, 5, 10, 9, 3, 7, 11, 6, 1, 2, 8, 4], P0-I11
  70. Krenek, Ernst: Studies in Counterpoint, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], P0-I5
  71. Krenek, Ernst: Sonata no. 3, Op. 92 no. 4, [0, 10, 5, 8, 3, 2, 6, 7, 1, 9, 11, 4], P0-I9
  72. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 1, [0, 2, 4, 5, 8, 10, 6, 7, 9, 11, 1, 3], P0-I11
  73. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 2, [0, 2, 3, 6, 8, 10, 5, 7, 9, 11, 1, 4], P0-I7
  74. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 3, [0, 1, 4, 6, 8, 10, 5, 7, 9, 11, 2, 3], P0-I3
  75. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 4, [0, 3, 5, 7, 9, 11, 6, 8, 10, 1, 2, 4], P0-I1
  76. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 5, [0, 2, 4, 6, 8, 9, 5, 7, 10, 11, 1, 3], P0-I7
  77. Krenek, Ernst: Lamentatio Jeremiae Prophetae, Op. 93, row 6, [0, 2, 4, 6, 7, 10, 5, 8, 9, 11, 1, 3], P0-I3
  78. Krenek, Ernst: Kette, Kreis, und Spiegel (Circle, Chain and Mirror), Op.160, [0, 5, 6, 9, 8, 4, 10, 7, 11, 3, 1, 2], P0-I7
  79. Krenek, Ernst: Sechs Vermessene, Op. 168, [0, 3, 1, 6, 2, 4, 10, 5, 9, 7, 8, 11], P0-I11
  80. Krenek, Ernst: Sestina, Op. 161, [0, 8, 11, 10, 4, 6, 7, 1, 5, 3, 9, 2], P0-I1
  81. Krenek, Ernst: Suite, Op. 84 for solo cello, [0, 4, 3, 11, 10, 9, 1, 7, 8, 6, 2, 5], P0-I5
  82. Krenek, Ernst: Karl V, King Francis Row, [0, 10, 5, 6, 11, 3, 9, 4, 2, 7, 1, 8], P0-I7
  83. Krenek, Ernst: Eight Piano Pieces, [0, 10, 1, 7, 6, 11, 5, 8, 3, 9, 2, 4], P0-I3
  84. Leibowitz, René: String Quartet no.3, Op. 26, [0, 8, 9, 7, 6, 1, 2, 5, 4, 10, 11, 3], P0-I11
  85. Lewin, David: Just a Minute, Roger, [0, 11, 4, 5, 7, 3, 2, 6, 8, 1, 10, 9], P0-I1
  86. Lutyens, Elisabeth: Five Little Pieces for Clarinet and Piano, [0, 8, 4, 1, 10, 2, 9, 3, 5, 6, 11, 7], P0-I7
  87. Lutyens, Elisabeth: Présages, Op. 53, [0, 1, 11, 2, 10, 8, 5, 3, 4, 7, 9, 6], P0-I5
  88. Lutyens, Elisabeth: Quincunx Op.44, [0, 6, 11, 1, 5, 2, 7, 3, 4, 9, 10, 8], P0-I9
  89. Martino, Donald: Fantasy Variations, [0, 3, 1, 10, 2, 8, 11, 5, 6, 9, 7, 4], P0-I7
  90. Matthias, Josef: Salambo, Op. 60, [0, 6, 9, 2, 8, 10, 4, 7, 1, 11, 3, 5], P0-I1
  91. Messiaen, Olivier: Mode de valeurs et d’intensités, Series 1, [0, 11, 6, 5, 4, 3, 1, 10, 9, 7, 2, 8], P0-I1
  92. Morris, Robert: Exchanges, [0, 4, 3, 1, 9, 5, 8, 6, 2, 10, 11, 7], P0-I11
  93. Morris, Robert: Pari Passu, row 1, [0, 6, 10, 11, 2, 3, 9, 1, 7, 8, 4, 5], P0-I7
  94. Morris, Robert: Three Musicians, [0, 9, 7, 6, 8, 1, 11, 2, 4, 5, 3, 10], P0-I11
  95. Morris, Robert: Terrane, [0, 11, 1, 3, 2, 5, 6, 4, 9, 7, 8, 10], P0-I9
  96. Morris, Robert: Refrains, [0, 3, 4, 2, 6, 10, 1, 8, 11, 7, 5, 9], P0-I11
  97. Morris, Robert: Entanglements, [0, 3, 10, 5, 11, 6, 1, 7, 9, 2, 8, 4], P0-I7
  98. Morris, Robert: Roundelay, row 3, [0, 10, 9, 3, 4, 6, 8, 11, 2, 7, 1, 5], P0-I5,11
  99. Nichols, Jeff: …its darkening opposite, or Set Portrait in a Convex Mirror, [0, 4, 8, 7, 11, 2, 3, 6, 1, 9, 10, 5], P0-I5
  100. Nono, Luigi: Incontri, [0, 2, 3, 8, 9, 6, 4, 5, 7, 11, 1, 10], P0-I1,7
  101. Nono, Luigi: Sarà dolce tacere, [0, 10, 5, 3, 8, 6, 1, 11, 4, 2, 9, 7], P0-I7
  102. Nono, Luigi: Intolleranza, Baritone, [0, 2, 7, 9, 4, 6, 11, 1, 8, 10, 3, 5], P0-I5
  103. Nono, Luigi: La terra e la compagna (sketch), Series 3, [0, 9, 6, 3, 1, 4, 7, 10, 11, 8, 5, 2], P0-I11
  104. Nono, Luigi: La terra e la compagna (sketch), Series 5, [0, 7, 2, 4, 9, 10, 5, 1, 6, 11, 8, 3], P0-I3
  105. Nono, Luigi: La terra e la compagna (sketch), Series 7, [0, 5, 3, 10, 7, 1, 8, 9, 2, 6, 11, 4], P0-I9
  106. Nono, Luigi: La terra e la compagna (sketch), Series 8, [0, 4, 5, 11, 3, 6, 10, 2, 7, 9, 1, 8], P0-I1
  107. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 2, [0, 3, 6, 9, 11, 2, 5, 8, 10, 1, 4, 7], P0-I7
  108. Papaioannou, Yannis: Songs of the Lake, no. 1, [0, 8, 5, 7, 6, 11, 2, 10, 1, 3, 9, 4], P0-I9
  109. Papaioannou, Yannis: Songs of the Lake, no. 2, [0, 7, 4, 6, 5, 1, 9, 2, 8, 10, 3, 11], P0-I3
  110. Papaioannou, Yannis: Songs of the Lake, no. 4, [0, 5, 11, 9, 6, 10, 7, 2, 3, 1, 4, 8], P0-I1
  111. Papaioannou, Yannis: Suite, “XP”, [0, 4, 2, 1, 6, 8, 3, 9, 7, 10, 5, 11], P0-I11
  112. Papaioannou, Yannis: Suite, “YP”, [0, 10, 9, 8, 1, 4, 5, 7, 3, 6, 2, 11], P0-I3
  113. Pärt, Arvo: Perpetuum Mobile, [0, 11, 10, 5, 6, 9, 7, 1, 2, 8, 3, 4], P0-I1
  114. Pärt, Arvo: Symphony No. 1, [0, 1, 2, 7, 6, 3, 5, 11, 10, 4, 9, 8], P0-I11
  115. Pentland, Barbara: String Quartet No. 3, [0, 11, 3, 6, 5, 9, 10, 8, 1, 2, 7, 4], P0-I1,7
  116. Pousseur, Henri: Trois Chants Sacrés, [0, 10, 11, 4, 1, 5, 9, 6, 3, 7, 2, 8], P0-I7
  117. Reynolds, Roger: Ambages, [0, 1, 4, 5, 7, 6, 8, 9, 10, 11, 2, 3], P0-I3
  118. Rochberg, George: String Quartet No. 2 with soprano solo, [0, 11, 6, 5, 1, 2, 8, 7, 3, 4, 9, 10], P0-I9
  119. Santoro, Claudio: Preludes 18–20, [0, 9, 1, 3, 2, 8, 10, 4, 6, 5, 7, 11], P0-I7
  120. Santoro, Claudio: Peças para Piano, [0, 11, 4, 5, 1, 9, 2, 3, 7, 8, 6, 10], P0-I7
  121. Santoro, Claudio: Six Piano Pieces, [0, 10, 4, 1, 11, 2, 5, 6, 3, 9, 7, 8], P0-I7
  122. Schnittke, Alfred: Concerto Grosso no. 1, mvt 2, [0, 11, 2, 1, 8, 7, 10, 9, 6, 5, 4, 3], P0-I5
  123. Schnittke, Alfred: Concerto Grosso No. 3, monogram 1, [0, 5, 1, 4, 10, 8, 11, 9, 3, 6, 2, 7], P0-I7
  124. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 7, [0, 3, 11, 9, 10, 1, 4, 2, 7, 8, 5, 6], P0-I5
  125. Schnittke, Alfred: Viola Concerto, [0, 11, 5, 2, 1, 6, 3, 8, 7, 4, 10, 9], P0-I9
  126. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 1, [0, 3, 6, 10, 2, 11, 8, 5, 9, 1, 4, 7], P0-I7
  127. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, new row, [0, 3, 6, 9, 10, 1, 4, 7, 8, 11, 2, 5], P0-I5
  128. Schnittke, Alfred: Violin Sonata 2, [0, 10, 11, 9, 6, 8, 7, 5, 4, 1, 2, 3], P0-I1
  129. Schoenberg, Arnold: A Survivor From Warsaw, Op. 46, [0, 1, 6, 2, 10, 9, 5, 4, 11, 3, 7, 8], P0-I5
  130. Schoenberg, Arnold: Accompaniment to a Film Scene, Op. 34, [0, 3, 11, 1, 10, 9, 6, 8, 7, 5, 2, 4], P0-I5
  131. Schoenberg, Arnold: Fantasy for Violin and Piano, Op. 47, [0, 11, 3, 1, 7, 9, 5, 6, 2, 4, 10, 8], P0-I5
  132. Schoenberg, Arnold: Five Piano Pieces, Op. 23, No. 5, [0, 8, 10, 6, 7, 5, 9, 1, 3, 2, 11, 4], P0-I9
  133. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 1, Op. 27 No. 1, [0, 11, 8, 2, 1, 7, 9, 10, 4, 3, 5, 6], P0-I5
  134. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 2, Op. 27 No. 2, [0, 11, 4, 10, 2, 8, 3, 7, 6, 5, 9, 1], P0-I5
  135. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 4, Op. 27 No. 4, [0, 2, 9, 5, 7, 3, 10, 11, 1, 8, 4, 6], P0-I1
  136. Schoenberg, Arnold: Moses und Aron, [0, 1, 7, 5, 6, 4, 10, 8, 9, 11, 2, 3], P0-I3
  137. Schoenberg, Arnold: Piano Concerto, Op. 42, [0, 7, 11, 2, 1, 9, 3, 5, 10, 6, 8, 4], P0-I5
  138. Schoenberg, Arnold: Prelude To A Suite From “Genesis”, Op. 44, [0, 8, 4, 7, 6, 2, 1, 10, 3, 5, 11, 9], P0-I5
  139. Schoenberg, Arnold: Serenade, mvt 5, “Tanzscene”, Op. 24, [0, 1, 3, 6, 7, 9, 8, 10, 11, 2, 4, 5], P0-I5,11
  140. Schoenberg, Arnold: Six Pieces for Male Chorus, No. 1, Op. 35, [0, 9, 1, 3, 2, 11, 6, 8, 7, 4, 10, 5], P0-I7
  141. Schoenberg, Arnold: Six Pieces for Male Chorus, No. 2, Op. 35, [0, 3, 1, 7, 6, 8, 11, 5, 4, 9, 10, 2], P0-I5
  142. Schoenberg, Arnold: Six Pieces for Male Chorus, No. 5, Op. 35, [0, 6, 9, 1, 2, 10, 7, 3, 11, 5, 4, 8], P0-I5
  143. Schoenberg, Arnold: Sonata For Organ, [0, 6, 10, 2, 8, 1, 7, 5, 9, 4, 11, 3], P0-I5
  144. Schoenberg, Arnold: String Quartet No. 4, Op. 37, [0, 11, 7, 8, 3, 1, 2, 10, 6, 5, 4, 9], P0-I5
  145. Schoenberg, Arnold: String Trio, Op. 45, [0, 8, 1, 7, 2, 11, 9, 6, 4, 5, 3, 10], P0-I5
  146. Schoenberg, Arnold: Suite for Piano, Op. 25, [0, 1, 3, 9, 2, 11, 4, 10, 7, 8, 5, 6], P0-I7
  147. Schoenberg, Arnold: Three Satires for Mixed Chorus, No. 3, Op. 28 No. 3, [0, 1, 11, 3, 9, 5, 2, 4, 10, 6, 8, 7], P0-I7
  148. Schoenberg, Arnold: Three Songs, No. 2, “Tot”, Op. 48, [0, 1, 7, 11, 8, 2, 6, 5, 10, 9, 3, 4], P0-I5
  149. Schoenberg, Arnold: Three Times a Thousand Years, Op. 50a, [0, 2, 11, 9, 10, 4, 3, 7, 5, 6, 8, 1], P0-I5
  150. Schoenberg, Arnold: Two Piano Pieces, No. 1, Op. 33a, [0, 7, 2, 1, 11, 8, 3, 5, 9, 10, 4, 6], P0-I5
  151. Schoenberg, Arnold: Two Piano Pieces, No. 2, Op. 33b, [0, 2, 6, 4, 10, 9, 7, 11, 8, 5, 1, 3], P0-I5
  152. Schoenberg, Arnold: Variations for Orchestra, Op. 31, [0, 6, 8, 5, 7, 11, 4, 3, 9, 10, 1, 2], P0-I9
  153. Schoenberg, Arnold: Violin Concerto, Op. 36, [0, 1, 6, 2, 7, 9, 3, 4, 10, 11, 5, 8], P0-I5
  154. Schoenberg, Arnold: Violin Phantasy, Op. 47, [0, 11, 3, 1, 7, 9, 6, 2, 10, 5, 8, 4], P0-I5
  155. Schoenberg, Arnold: Von Heute Auf Morgen, Op. 32, [0, 1, 7, 11, 9, 3, 6, 5, 2, 10, 8, 4], P0-I5
  156. Schoenberg, Arnold: Wind Quintet, Op. 26, [0, 4, 6, 8, 10, 9, 7, 11, 1, 3, 5, 2], P0-I11
  157. Schoenberg, Arnold: Fragment for Piano (Four Hands), [0, 3, 6, 1, 7, 8, 2, 5, 11, 4, 10, 9], P0-I5
  158. Schuller, Gunther: Transformation, [0, 2, 4, 3, 8, 11, 9, 6, 5, 10, 7, 1], P0-I9
  159. Schwantner, Joseph: Modus Caelestis (m. 39), [0, 6, 11, 10, 5, 9, 4, 8, 3, 2, 7, 1], P0-I1
  160. Schwantner, Joseph: Wild Angels of the Open Hills, 2, “Angels of the Shadowed Ancient Land,” m. 21, [0, 8, 9, 11, 3, 7, 6, 5, 2, 4, 10, 1], P0-I1
  161. Searle, Humphrey: Toccata alla Passacaglia Op. 31, [0, 5, 6, 1, 10, 7, 9, 8, 3, 2, 4, 11], P0-I9
  162. Seiber, Mátyás: Concert Piece for Violin and Piano, [0, 1, 7, 6, 11, 10, 4, 5, 9, 8, 2, 3], P0-I3
  163. Seiber, Mátyás: Sonata for Violin and Piano, [0, 1, 11, 10, 7, 6, 8, 9, 4, 3, 5, 2], P0-I3
  164. Sessions, Roger: When Lilacs Last in the Dooryard Bloom’d, [0, 2, 4, 10, 5, 8, 9, 1, 11, 7, 6, 3], P0-I11
  165. Sessions, Roger: Piano Sonata no. 3, mvt 2, [0, 1, 5, 4, 8, 2, 11, 10, 6, 7, 3, 9], P0-I11
  166. Shapey, Ralph: String Quartet No. 9, [0, 8, 9, 3, 5, 1, 2, 6, 4, 10, 11, 7], P0-I7
  167. Shostakovich, Dmitri: Symphony No. 14, mov. I, [0, 11, 9, 4, 3, 10, 8, 7, 5, 6, 1, 2], P0-I5
  168. Stockhausen, Karlheinz: Choral, [0, 1, 10, 6, 8, 3, 5, 2, 4, 11, 9, 7], P0-I5
  169. Stockhausen, Karlheinz: Klavierstück IV row 3, [0, 7, 1, 10, 11, 9, 5, 8, 4, 3, 2, 6], P0-I3
  170. Stockhausen, Karlheinz: Plus-Minus, [0, 1, 7, 9, 8, 6, 3, 10, 2, 5, 11, 4], P0-I11
  171. Stockhausen, Karlheinz: Tierkreis, Aries, [0, 3, 2, 9, 7, 8, 11, 6, 1, 5, 4, 10], P0-I1
  172. Stockhausen, Karlheinz: Tierkreis, Sagittarius, [0, 6, 5, 2, 3, 4, 7, 8, 9, 10, 11, 1], P0-I1
  173. Stockhausen, Karlheinz: Licht, Eve formula, [0, 4, 3, 2, 5, 6, 10, 11, 9, 1, 7, 8], P0-I1
  174. Stravinsky, Igor: A Sermon, a Narrative and a Prayer, [0, 1, 9, 11, 10, 7, 8, 3, 4, 6, 5, 2], P0-I3
  175. Stravinsky, Igor: Canticum Sacrum, II, [0, 11, 9, 6, 10, 8, 7, 5, 2, 4, 3, 1], P0-I1
  176. Stravinsky, Igor: Elegy for J.F.K., [0, 6, 4, 2, 8, 9, 3, 1, 11, 10, 7, 5], P0-I7
  177. Stravinsky, Igor: Requiem Canticles, 1st series, [0, 2, 10, 11, 1, 8, 6, 7, 9, 4, 3, 5], P0-I5
  178. Stravinsky, Igor: Variations “Aldous Huxley in Memoriam”, [0, 10, 7, 9, 2, 8, 6, 11, 1, 5, 4, 3], P0-I1
  179. Stravinsky, Igor: Introitus “T. S. Eliot in Memoriam”, [0, 5, 6, 4, 8, 9, 3, 2, 1, 10, 11, 7], P0-I7
  180. Talma, Louise: Six Etudes, Etude 1, [0, 3, 6, 8, 10, 2, 5, 7, 9, 1, 11, 4], P0-I7
  181. Talma, Louise: Six Etudes, Etude 5, [0, 4, 6, 11, 8, 3, 9, 1, 5, 7, 2, 10], P0-I1
  182. Talma, Louise: Six Etudes, Etude 6, [0, 8, 6, 9, 4, 5, 2, 1, 3, 10, 7, 11], P0-I7
  183. Talma, Louise: Piano Sonata 2, mvt 4, first row, [0, 4, 8, 2, 5, 10, 1, 11, 6, 9, 7, 3], P0-I11
  184. Volkonsky, Andrei: Musica Stricta, mvt 2, row A, [0, 6, 8, 9, 11, 10, 1, 7, 2, 3, 5, 4], P0-I1
  185. Volkonsky, Andrei: Musica Stricta, mvt 2, row D, [0, 4, 9, 2, 8, 10, 11, 1, 3, 7, 5, 6], P0-I3
  186. Volkonsky, Andrei: Musica Stricta, mvt 4, row G, [0, 6, 5, 4, 3, 2, 1, 11, 9, 10, 8, 7], P0-I1
  187. Volkonsky, Andrei: Musica Stricta, mvt 4, row H, [0, 6, 4, 9, 8, 2, 7, 1, 11, 5, 10, 3], P0-I7
  188. Weber, Ben: Five Bagatelles for Piano, Op.2, mvt. ii, [0, 1, 2, 9, 6, 7, 4, 8, 5, 11, 10, 3], P0-I5
  189. Weber, Ben: Humoreske, Op. 49, [0, 2, 4, 5, 7, 10, 1, 11, 9, 8, 6, 3], P0-I1
  190. Webern, Anton: 3 Volkstexte, “Liebste Jungfrau”, Op. 17, No. 2, [0, 11, 10, 6, 7, 1, 2, 5, 4, 3, 8, 9], P0-I3
  191. Webern, Anton: String Trio, Op. 20, [0, 11, 6, 5, 10, 9, 1, 2, 7, 8, 4, 3], P0-I1
  192. Webern, Anton: Quartet for Violin, Clarinet, Tenor Sax, And Piano, Op. 22, [0, 9, 8, 11, 10, 2, 3, 4, 5, 7, 1, 6], P0-I3
  193. Webern, Anton: Klavierstück, [0, 1, 2, 11, 10, 4, 5, 6, 9, 8, 7, 3], P0-I7
  194. Webern, Anton: Cantata I, Op. 29, [0, 8, 11, 10, 2, 1, 4, 3, 7, 6, 9, 5], P0-I5
  195. Webern, Anton: Op. 32 (un-finished), initial sketch, [0, 1, 9, 11, 3, 2, 7, 6, 10, 8, 4, 5], P0-I7
  196. Webern, Anton: String Quartet, Op. 28, [0, 11, 2, 1, 5, 6, 3, 4, 8, 7, 10, 9], P0-I9
  197. Webern, Anton: Three Songs on Texts by Hildegard Jone, Op. 25, [0, 9, 8, 11, 6, 10, 7, 4, 3, 5, 2, 1], P0-I1
  198. Wilson, Olly: Piece for Four’, [0, 8, 9, 4, 2, 6, 7, 11, 10, 3, 5, 1], P0-I7
  199. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 10, [0, 10, 1, 11, 4, 2, 5, 3, 8, 6, 9, 7], P0-I7
  200. Wuorinen, Charles: Piano Concerto No. 3, [0, 5, 2, 1, 11, 3, 10, 9, 4, 6, 8, 7], P0-I9
  201. Wuorinen, Charles: Reliquary for Igor Stravinsky, [0, 11, 7, 5, 6, 8, 2, 4, 9, 3, 1, 10], P0-I9
  202. Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 1, [0, 4, 2, 6, 5, 8, 7, 9, 3, 1, 10, 11], P0-I3
  203. Yun, Isang: Funf Stücke für Klavier, Stück 1, Row 2, [0, 11, 10, 4, 2, 1, 3, 6, 5, 9, 7, 8], P0-I7
  204. Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 1, [0, 11, 1, 9, 10, 7, 5, 6, 8, 2, 3, 4], P0-I3
  205. Yun, Isang: Funf Stücke für Klavier, Stück 3, Row 2, [0, 4, 2, 8, 5, 6, 7, 9, 3, 11, 10, 1], P0-I3
  206. Yun, Isang: Funf Stücke für Klavier, Stück 4, [0, 1, 7, 8, 11, 3, 4, 9, 5, 2, 6, 10], P0-I5
  207. Yun, Isang: Funf Stücke für Klavier, Stück 5, [0, 11, 6, 3, 2, 10, 9, 1, 5, 4, 8, 7], P0-I7
  208. Yun, Isang: Gasa, [0, 11, 7, 8, 6, 5, 2, 9, 10, 1, 3, 4], P0-I9
  209. Yun, Isang: Riul für Klarinette und Klavier, [0, 5, 6, 9, 8, 4, 3, 7, 1, 2, 11, 10], P0-I7

Retrograde Inversion Combinatorial

These rows are combinatorial by retrograde inversion.

  1. Argento, Dominick: Evensong: Of Love and Angels, [0, 11, 9, 8, 5, 3, 4, 1, 2, 7, 10, 6], P0-RI8
  2. Bennett, Richard Rodney: Symphony, [0, 2, 9, 8, 3, 5, 6, 1, 7, 11, 10, 4], P0-RI5
  3. Berg, Alban: Chamber Concerto, mvts 2, 3, [0, 11, 10, 4, 5, 9, 7, 1, 2, 6, 8, 3], P0-RI9
  4. Berg, Alban: Lyric Suite, mvt I, m.7-9, [0, 3, 7, 8, 2, 1, 9, 6, 4, 11, 5, 10], P0-RI3
  5. Carter, Elliott: String Quartet No. 3, [0, 11, 2, 9, 5, 3, 4, 8, 10, 7, 1, 6], P0-RI2
  6. Copland, Aaron: Piano Fantasy, [0, 7, 2, 10, 8, 3, 6, 4, 11, 9, 1, 5], P0-RI10
  7. Copland, Aaron: Connotations, row 1, [0, 1, 3, 6, 2, 9, 8, 5, 10, 4, 11, 7], P0-RI3
  8. Copland, Aaron: Connotations, row 2, [0, 7, 9, 6, 2, 3, 8, 11, 10, 4, 5, 1], P0-RI9
  9. Cordero, Roque: Sonata breve, [0, 1, 4, 11, 10, 7, 5, 8, 9, 6, 3, 2], P0-RI11
  10. Cordero, Roque: Concerto for Violin, mvt 2B, [0, 5, 3, 11, 6, 8, 7, 2, 1, 4, 9, 10], P0-RI11
  11. Dallapiccola, Luigi: Quattro liriche di Antonio Machado, ii, [0, 1, 4, 6, 7, 9, 10, 11, 2, 3, 5, 8], P0-RI1
  12. Dallapiccola, Luigi: Tre poemi, [0, 8, 9, 6, 3, 1, 2, 11, 7, 5, 4, 10], P0-RI9
  13. Dallapiccola, Luigi: Due studi, ‘Fanfare’, [0, 1, 7, 9, 10, 3, 4, 2, 8, 11, 6, 5], P0-RI10
  14. Dallapiccola, Luigi: Preghiere, [0, 11, 2, 3, 8, 9, 7, 6, 1, 5, 4, 10], P0-RI11
  15. Denisov, Edison: Five Etudes for Solo Bassoon, row G, [0, 11, 5, 10, 4, 3, 9, 8, 2, 1, 6, 7], P0-RI3
  16. Frankel, Benjamin: The Curse of the Werewolf, [0, 3, 2, 1, 4, 8, 11, 5, 10, 7, 6, 9], P0-RI4
  17. Gerhard, Roberto: Symphony no. 2, [0, 8, 1, 7, 5, 6, 10, 11, 2, 3, 9, 4], P0-RI1
  18. Gerhard, Roberto: Concerto for Harpsichord, String Orchestra, and Percussion, [0, 2, 8, 7, 11, 5, 1, 4, 3, 6, 9, 10], P0-RI7
  19. Ginastera, Alberto: Cantata para América Mágica, Op.27, [0, 7, 6, 5, 10, 11, 8, 1, 2, 9, 4, 3], P0-RI5
  20. Ginastera, Alberto: String Quartet No. 2, Op. 26, [0, 5, 11, 2, 8, 1, 9, 10, 7, 4, 3, 6], P0-RI1
  21. Ginastera, Alberto: Piano Concerto, No. 1, Op. 28, [0, 11, 5, 1, 8, 2, 7, 6, 10, 4, 9, 3], P0-RI1
  22. Goehr, Alexander: Sonata in One Movement, Op.2, [0, 2, 7, 1, 4, 10, 6, 9, 11, 8, 5, 3], P0-RI2
  23. Goehr, Alexander: Little Symphony, Op. 15, [0, 3, 7, 10, 6, 4, 5, 2, 9, 8, 11, 1], P0-RI10
  24. Harrison, Lou: Untitled Piano Piece, [0, 10, 4, 3, 9, 7, 2, 8, 6, 1, 11, 5], P0-RI7
  25. Harrison, Lou: Suite for Piano, [0, 1, 6, 2, 5, 7, 11, 4, 9, 8, 10, 3], P0-RI7
  26. Hauer, Josef Matthias: Nomos, [0, 5, 7, 3, 9, 6, 11, 2, 8, 4, 1, 10], P0-RI12
  27. Husa, Karel: Mosaïques, [0, 6, 4, 3, 2, 9, 10, 5, 7, 8, 11, 1], P0-RI6
  28. Ives, Charles: String Quartet No.2, mvt 2, [0, 1, 2, 11, 3, 7, 10, 4, 6, 8, 9, 5], P0-RI2
  29. Kokkonen, Joonas: Symphonic Sketches, mov. 3, row “III/A”, [0, 2, 1, 3, 8, 7, 5, 6, 4, 11, 9, 10], P0-RI3
  30. Kurtág, György: The Sayings of Péter Bornemisza, Op.7, [0, 11, 7, 8, 9, 1, 2, 10, 3, 4, 5, 6], P0-RI8
  31. Lutyens, Elisabeth: O Saisons, O Châteaux!, [0, 11, 10, 4, 8, 9, 3, 7, 6, 5, 2, 1], P0-RI8
  32. Lutyens, Elisabeth: The Valley of Hatsu’se, [0, 6, 11, 10, 8, 7, 9, 1, 3, 2, 4, 5], P0-RI6
  33. Lutyens, Elisabeth: Three Improvisations for Piano Solo, [0, 6, 9, 7, 8, 3, 4, 1, 10, 5, 11, 2], P0-RI3
  34. Maderna, Bruno: Quartetto, [0, 7, 2, 3, 6, 9, 10, 1, 4, 5, 8, 11], P0-RI9
  35. Mamlok, Ursula: Variations for Solo Flute, theme, [0, 2, 1, 11, 7, 3, 5, 6, 4, 10, 8, 9], P0-RI2
  36. Mamlok, Ursula: Five Intermezzi for guitar solo, [0, 3, 6, 11, 2, 5, 1, 10, 7, 4, 8, 9], P0-RI5
  37. Martino, Donald: Notturno (Row A), [0, 11, 10, 2, 6, 1, 5, 9, 4, 8, 3, 7], P0-RI12
  38. Messiaen, Olivier: Mode de valeurs et d’intensités, Series 3, [0, 11, 6, 4, 3, 9, 5, 2, 8, 1, 7, 10], P0-RI3
  39. Morris, Robert: Arabesque, [0, 6, 7, 1, 3, 10, 8, 9, 4, 5, 11, 2], P0-RI1
  40. Morris, Robert: Inter Alia, [0, 1, 11, 5, 3, 4, 9, 10, 8, 2, 7, 6], P0-RI4
  41. Morris, Robert: In Variations, [0, 2, 9, 11, 5, 3, 4, 6, 10, 8, 7, 1], P0-RI2
  42. Morris, Robert: Four Fold Heart Sutra, [0, 6, 7, 2, 11, 1, 10, 4, 9, 5, 8, 3], P0-RI1
  43. Morris, Robert: Arc, [0, 1, 8, 2, 4, 3, 11, 10, 6, 7, 5, 9], P0-RI4
  44. Morris, Robert: Concerto for Piano and Winds, [0, 1, 4, 7, 8, 10, 11, 2, 5, 6, 9, 3], P0-RI8
  45. Morris, Robert: Out and Out, [0, 11, 6, 3, 7, 9, 5, 8, 1, 2, 10, 4], P0-RI6
  46. Morris, Robert: Four or Five Mirrors, [0, 11, 2, 3, 7, 1, 6, 5, 9, 8, 10, 4], P0-RI2
  47. Morris, Robert: MA, [0, 1, 5, 6, 4, 11, 8, 7, 9, 2, 10, 3], P0-RI5
  48. Morris, Robert: Broken Consort in Three Parts, Row 3, [0, 11, 3, 9, 7, 6, 10, 5, 1, 2, 4, 8], P0-RI6
  49. Morris, Robert: Zoe, [0, 8, 6, 3, 1, 9, 7, 10, 4, 2, 5, 11], P0-RI9
  50. Morris, Robert: On the Go, [0, 9, 2, 3, 5, 8, 10, 11, 1, 4, 7, 6], P0-RI5
  51. Morris, Robert: 14 Little Piano Pieces, [0, 5, 1, 9, 10, 11, 2, 7, 3, 4, 6, 8], P0-RI10
  52. Morris, Robert: Sung Song, [0, 3, 7, 6, 9, 2, 10, 5, 1, 8, 4, 11], P0-RI9
  53. Morris, Robert: Brush, [0, 11, 6, 10, 7, 8, 3, 2, 5, 4, 9, 1], P0-RI6
  54. Morris, Robert: Four Play Nine, [0, 3, 2, 1, 8, 7, 10, 5, 4, 11, 6, 9], P0-RI3
  55. Musgrave, Thea: Triptych, Song 1, [0, 11, 9, 6, 5, 2, 10, 1, 8, 7, 3, 4], P0-RI11
  56. Nono, Luigi: Intolleranza, Soprano 2, [0, 1, 2, 7, 6, 11, 10, 5, 4, 9, 8, 3], P0-RI1
  57. Nono, Luigi: La terra e la compagna (sketch), Series 4, [0, 2, 9, 5, 6, 8, 3, 11, 1, 10, 4, 7], P0-RI2
  58. Papaioannou, Yannis: Songs of the Lake, no. 3, [0, 11, 8, 1, 6, 7, 2, 10, 3, 4, 9, 5], P0-RI7
  59. Papaioannou, Yannis: Pygmalion, [0, 2, 7, 5, 8, 11, 9, 6, 10, 3, 1, 4], P0-RI7
  60. Papaioannou, Yannis: Suite, Basic row, [0, 1, 3, 10, 4, 6, 9, 5, 2, 8, 7, 11], P0-RI4
  61. Payne, Antony: Miniature Variations on a Theme of E.L., [0, 6, 11, 10, 8, 7, 9, 1, 3, 2, 4, 5], P0-RI6
  62. Ruggles, Carl: Evocations II (Series X), [0, 1, 7, 2, 8, 9, 11, 10, 5, 6, 4, 3], P0-RI9
  63. Santoro, Claudio: A Menina Boba, “A Menina Exausta”, [0, 5, 10, 7, 3, 11, 1, 8, 2, 9, 6, 4], P0-RI10
  64. Schnittke, Alfred: Concerto Grosso No. 3, monogram 5, [0, 1, 7, 10, 4, 11, 5, 6, 9, 8, 2, 3], P0-RI11
  65. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 3, [0, 4, 7, 11, 2, 6, 9, 10, 1, 5, 8, 3], P0-RI6
  66. Schnittke, Alfred: Sonata No. 1 for Violin and Piano, mvt 4, [0, 4, 7, 3, 6, 10, 9, 5, 1, 2, 8, 11], P0-RI10
  67. Schnittke, Alfred: Improvisation and Fugue for piano, [0, 8, 11, 3, 9, 2, 5, 7, 6, 10, 1, 4], P0-RI11
  68. Schnittke, Alfred: Serenade, [0, 1, 7, 3, 10, 9, 8, 6, 5, 11, 4, 2], P0-RI10
  69. Schoenberg, Arnold: Die Jakobsleiter, [0, 1, 4, 3, 7, 6, 11, 2, 10, 9, 5, 8], P0-RI7
  70. Smith, Hale: Evocation, [0, 1, 7, 2, 9, 5, 8, 3, 10, 11, 4, 6], P0-RI2
  71. Stockhausen, Karlheinz: Klavierstück IV, row 1, [0, 11, 4, 10, 9, 5, 8, 6, 2, 1, 7, 3], P0-RI9
  72. Stockhausen, Karlheinz: Tierkreis, Aquarius, [0, 3, 5, 4, 11, 10, 9, 8, 7, 6, 2, 1], P0-RI3
  73. Stockhausen, Karlheinz: Tierkreis, Leo, [0, 5, 11, 6, 3, 2, 8, 7, 9, 10, 4, 1], P0-RI5
  74. Stravinsky, Igor: The Owl and the Pussy Cat, [0, 2, 9, 11, 8, 6, 5, 7, 10, 1, 4, 3], P0-RI8
  75. Talma, Louise: Seven Episodes for flute, viola and piano, [0, 9, 11, 4, 6, 3, 8, 1, 10, 2, 5, 7], P0-RI3
  76. Talma, Louise: Six Etudes, Etude 2, [0, 3, 9, 5, 11, 2, 8, 4, 10, 6, 1, 7], P0-RI2
  77. Volkonsky, Andrei: Musica Stricta, mvt 2, row C, [0, 10, 11, 9, 4, 5, 7, 2, 1, 3, 6, 8], P0-RI9
  78. Volkonsky, Andrei: Musica Stricta, mvt 3, row F, [0, 1, 9, 3, 5, 6, 7, 11, 10, 8, 4, 2], P0-RI6
  79. Weber, Ben: Five Bagatelles for Piano, Op.2, mvt. v, [0, 9, 1, 8, 2, 7, 3, 5, 6, 4, 11, 10], P0-RI9
  80. Webern, Anton: 3 Lieder, “Ave, Regina Coelorum”, Op. 18, No. 3, [0, 11, 3, 2, 1, 7, 6, 10, 9, 8, 5, 4], P0-RI2
  81. Webern, Anton: 3 Volkstexte, “Armer Sunder, Du”, Op. 17, No. 1, [0, 11, 6, 7, 4, 5, 8, 9, 10, 1, 2, 3], P0-RI11
  82. Yi, Chen: Near Distance, [0, 1, 10, 3, 4, 6, 8, 9, 11, 5, 7, 2], P0-RI4
  83. Yi, Chen: Symphony No. 2, [0, 6, 2, 3, 7, 9, 10, 4, 5, 11, 8, 1], P0-RI9
  84. Yi, Chen: Woodwind Quintet, [0, 11, 1, 7, 9, 8, 10, 4, 6, 5, 2, 3], P0-RI8

All-Combinatorial

Finally, rows are all-combinatorial when the combinatorial property holds for all transformations in at least one transposition. Notice how the whole-tone hexachord [0,2,4,6,8,10] (in any ordering) stands out for its highly combinatorial properties.

  1. Babbitt, Milton: All Set, [0, 4, 5, 11, 6, 10, 7, 3, 1, 2, 9, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  2. Babbitt, Milton: Composition for Four Instruments, [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  3. Babbitt, Milton: Composition for Four Instruments, row i, [0, 10, 9, 8, 7, 5, 11, 1, 2, 3, 4, 6], T6; I11; RI5, (0, 2, 3, 4, 5, 7)
  4. Babbitt, Milton: Composition for Four Instruments, row ii, [0, 9, 11, 2, 4, 1, 7, 10, 8, 5, 3, 6], T6; I7; RI1, (0, 2, 3, 4, 5, 7)
  5. Babbitt, Milton: Composition for Four Instruments, row iii, [0, 4, 3, 8, 7, 11, 5, 1, 2, 9, 10, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  6. Babbitt, Milton: Composition for Four Instruments, row iv, [0, 4, 1, 8, 5, 9, 3, 11, 2, 7, 10, 6], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  7. Babbitt, Milton: Composition for Synthesizer, [0, 9, 1, 8, 4, 5, 7, 2, 3, 6, 10, 11], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  8. Babbitt, Milton: Composition for Tenor and Six Instruments, [0, 11, 7, 5, 6, 1, 4, 3, 10, 8, 2, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  9. Babbitt, Milton: Vision and Prayer, [0, 11, 8, 3, 7, 4, 10, 9, 2, 6, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  10. Babbitt, Milton: Relata I, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  11. Babbitt, Milton: Relata II, [0, 1, 11, 2, 10, 3, 9, 8, 4, 6, 7, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  12. Babbitt, Milton: Composition for Twelve Instruments, [0, 1, 4, 9, 5, 8, 3, 10, 2, 11, 6, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  13. Babbitt, Milton: Partitions, [0, 7, 9, 10, 2, 11, 5, 8, 4, 3, 1, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  14. Babbitt, Milton: String Quartet No.2, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  15. Babbitt, Milton: String Quartet, No.3, [0, 11, 6, 7, 5, 1, 10, 2, 9, 3, 4, 8], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  16. Babbitt, Milton: The Widow’s Lament in Springtime, [0, 11, 9, 2, 10, 7, 1, 4, 8, 3, 5, 6], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  17. Babbitt, Milton: Three Compositions for Piano, no. I, [0, 5, 7, 4, 2, 3, 9, 1, 8, 11, 10, 6], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  18. Babbitt, Milton: Woodwind Quartet, [0, 3, 1, 2, 11, 10, 8, 9, 5, 7, 6, 4], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  19. Babbitt, Milton: Composition for Viola and Piano, [0, 3, 4, 8, 11, 7, 9, 2, 1, 5, 10, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  20. Babbitt, Milton: Two Sonnets of Gerard Manley Hopkins, [0, 2, 3, 4, 7, 5, 11, 6, 10, 9, 8, 1], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  21. Babbitt, Milton: Du, row i, [0, 9, 2, 10, 11, 1, 7, 5, 4, 8, 3, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  22. Babbitt, Milton: Du, row ii, [0, 5, 2, 10, 9, 7, 1, 3, 4, 8, 11, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  23. Babbitt, Milton: Semi-simple variations, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  24. Baker, David: “Status Symbol” from “The Black Experience”, [0, 3, 4, 7, 8, 11, 1, 10, 9, 6, 5, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  25. Barber, Samuel: Piano Sonata, Op. 26, [0, 8, 4, 11, 3, 7, 1, 9, 5, 10, 2, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  26. Berg, Alban: Altenberg Lieder, [0, 1, 11, 10, 2, 9, 3, 8, 7, 6, 5, 4], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  27. Berg, Alban: Lulu, Primary / Main / Basic Row, [0, 4, 5, 2, 7, 9, 6, 8, 11, 10, 3, 1], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  28. Berg, Alban: Lulu, whole-tone row, [0, 2, 4, 6, 10, 8, 11, 7, 9, 1, 3, 5], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  29. Berg, Alban: Lulu, Schigolch, [0, 2, 3, 1, 4, 5, 6, 7, 8, 9, 11, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  30. Berg, Alban: Schliesse mir die Augen Beide, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  31. Berg, Alban: Lyric Suite, Primary Row / mvt I, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  32. Berg, Alban: Lyric Suite, mvt I, [0, 2, 4, 5, 7, 9, 6, 8, 10, 11, 1, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  33. Berg, Alban: Lyric Suite, mvt VI, [0, 2, 4, 7, 9, 11, 6, 8, 10, 1, 3, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  34. Berio, Luciano: Cinque Variazioni, [0, 2, 4, 1, 3, 5, 8, 10, 6, 7, 9, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  35. Berio, Luciano: Sequenza I, [0, 11, 10, 9, 8, 7, 4, 6, 5, 3, 1, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  36. Boulez, Pierre: Le Marteau sans Maître, cycle of Bourreaux de solitude, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  37. Boulez, Pierre: Notations, [0, 2, 7, 6, 1, 8, 4, 9, 5, 11, 10, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  38. Britten, Benjamin: The Turn of the Screw, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  39. Carter, Elliott: String Quartet No. 2 (sketch) 1, [0, 4, 8, 3, 7, 11, 6, 10, 2, 9, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  40. Carter, Elliott: String Quartet No. 2 (sketch) 2, [0, 8, 4, 3, 11, 7, 6, 2, 10, 9, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  41. Carter, Elliott: String Quartet No. 2 (sketch) 3, [0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 11], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  42. Denisov, Edison: Concerto for Guitar and Orchestra, Row 1, [0, 6, 10, 4, 8, 2, 3, 9, 1, 7, 11, 5], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  43. Denisov, Edison: Five Etudes for Solo Bassoon, row B, [0, 11, 6, 5, 4, 10, 9, 3, 2, 7, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  44. Denisov, Edison: Five Etudes for Solo Bassoon, row C, [0, 6, 11, 5, 4, 10, 9, 3, 2, 7, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  45. Denisov, Edison: Five Etudes for Solo Bassoon, row E, [0, 1, 7, 6, 5, 11, 10, 4, 3, 8, 2, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  46. Denisov, Edison: Five Etudes for Solo Bassoon, row I, [0, 6, 1, 7, 2, 8, 3, 10, 5, 11, 9, 4], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  47. Denisov, Edison: Five Etudes for Solo Bassoon, row J, [0, 6, 5, 11, 4, 10, 9, 3, 2, 7, 1, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  48. Denisov, Edison: Octet for Winds, mvt 2, row A, [0, 1, 3, 2, 4, 5, 8, 7, 6, 11, 9, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  49. Denisov, Edison: Octet for Winds, mvt 2, row B, [0, 6, 11, 5, 4, 10, 9, 3, 2, 8, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  50. Fine, Vivian: Chaconne for piano, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  51. Finney, Ross Lee: Sonata Quasi una Fantasia, [0, 1, 3, 2, 4, 5, 6, 7, 9, 8, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  52. Finney, Ross Lee: Fantasy in Two Movements for solo violin, [0, 1, 3, 5, 4, 2, 11, 10, 8, 6, 7, 9], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  53. Gielen, Michael: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano, [0, 5, 1, 4, 2, 3, 9, 8, 10, 7, 11, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  54. Gerhard, Roberto: The Plague, [0, 1, 9, 11, 8, 10, 4, 5, 6, 2, 3, 7], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  55. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 1, [0, 1, 6, 7, 8, 2, 10, 11, 5, 4, 9, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  56. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 2, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  57. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 5, [0, 1, 7, 6, 5, 11, 2, 8, 9, 10, 4, 3], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  58. Ginastera, Alberto: Don Rodrigo, Op. 31, Row Class 7, [0, 1, 8, 2, 7, 6, 5, 11, 9, 10, 4, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  59. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 1, [0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  60. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 4, [0, 2, 1, 5, 3, 4, 7, 8, 6, 10, 9, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  61. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 6, [0, 11, 4, 3, 8, 7, 1, 2, 9, 10, 5, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  62. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class II 7, [0, 9, 10, 11, 8, 7, 6, 3, 4, 5, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  63. Ginastera, Alberto: Sonata for Guitar, Op.47, mvts. II and III, Row Class III, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  64. Ginastera, Alberto: Violin Concerto, Op. 30, [0, 11, 2, 3, 4, 1, 6, 5, 8, 9, 10, 7], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  65. Ginastera, Alberto: Sonata for Cello and Piano, Op. 49, [0, 3, 2, 1, 10, 11, 8, 9, 5, 4, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  66. Ginastera, Alberto: Turbae ad Passionem Gregorianam, Op. 43, mvt II, [0, 5, 1, 7, 6, 11, 8, 2, 3, 4, 9, 10], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  67. Ginastera, Alberto: Quintet, Op. 29, Row Class V, [0, 5, 4, 7, 3, 2, 6, 9, 8, 1, 10, 11], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  68. Ginastera, Alberto: Quintet, Op. 29, Row Class VII S, [0, 11, 1, 10, 2, 9, 3, 8, 4, 7, 5, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  69. Ives, Charles: Tone Roads No. 3, [0, 11, 1, 3, 2, 10, 5, 8, 4, 7, 6, 9], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  70. Ives, Charles: On the Antipodes, [0, 3, 11, 8, 4, 7, 10, 9, 6, 2, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  71. Klein, Fritz: Die Maschine: Eine extonale Selbstsatire, Op.1, [0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  72. Kokkonen, Joonas: Cello Concerto, mov. 2, row “II/A”, [0, 2, 7, 4, 3, 5, 6, 1, 11, 8, 10, 9], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  73. Kokkonen, Joonas: Cello Concerto, mov. 2, row “II/B”, [0, 2, 3, 1, 4, 5, 7, 8, 6, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  74. Kokkonen, Joonas: Cello Concerto, mov. 2, row “II/C”, [0, 9, 11, 10, 7, 2, 6, 3, 5, 4, 1, 8], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  75. Kokkonen, Joonas: Woodwind Quintet, mov. 1, rows “I/A” and “I/B”, [0, 2, 11, 9, 10, 1, 3, 6, 4, 5, 7, 8], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  76. Krenek, Ernst: String Quartet No. 6, Op. 78, [0, 10, 11, 8, 1, 9, 3, 7, 2, 4, 6, 5], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  77. Krenek, Ernst: Symphonic Elegy for String Orchestra, Op.105, [0, 1, 9, 11, 10, 2, 3, 7, 6, 8, 4, 5], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  78. Krenek, Ernst: Quaestio temporis, Op. 170, [0, 3, 11, 4, 2, 1, 7, 8, 10, 5, 9, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  79. Krenek, Ernst: Zwölf Variationen in Drei Satzen, [0, 1, 3, 10, 2, 5, 11, 7, 4, 9, 6, 8], T6; I9; RI3, (0, 2, 3, 4, 5, 7)
  80. Leibowitz, René: Trois pièces pour piano, Op. 19, [0, 4, 3, 1, 2, 5, 6, 9, 10, 8, 7, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  81. Ligeti, György: Le Grand Macabre, [0, 6, 5, 11, 10, 4, 9, 3, 2, 8, 7, 1], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  82. Lutosławski, Witold: Musique Funébre (Funeral Music), [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  83. Lutyens, Elisabeth: Essence Of Our Happinesses Op.69, mvt II, Part I, [0, 11, 1, 10, 2, 3, 8, 9, 5, 6, 4, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  84. Lutyens, Elisabeth: Motet (Excerota Tractati Logico-Philosophici), Op.27, [0, 11, 3, 7, 8, 4, 2, 6, 5, 1, 9, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  85. Lutyens, Elisabeth: The Numbered, Altered Primary Row (swap pitches 2 and 3), [0, 11, 10, 1, 2, 9, 3, 4, 8, 5, 7, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  86. Lutyens, Elisabeth: The Numbered, Primary Row, [0, 10, 11, 1, 2, 9, 3, 4, 8, 5, 7, 6], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  87. Mamlok, Ursula: Panta Rhei, [0, 7, 4, 11, 8, 3, 10, 9, 6, 2, 5, 1], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  88. Mamlok, Ursula: Panta Rhei, secondary row (mvt 4, Piano), [0, 11, 8, 3, 4, 7, 2, 1, 6, 9, 10, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  89. Mamlok, Ursula: Haiku Settings, no. 5, [0, 11, 8, 7, 4, 3, 5, 6, 9, 10, 1, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  90. Martino, Donald: Notturno (Row B), [0, 7, 11, 10, 9, 8, 2, 1, 6, 3, 4, 5], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  91. Moevs, Robert: Musica da Camera, [0, 1, 11, 3, 4, 2, 9, 10, 8, 7, 5, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  92. Morris, Robert: Clash, [0, 3, 11, 10, 8, 1, 7, 9, 2, 6, 4, 5], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  93. Morris, Robert: Concerto for Piano and Strings, [0, 1, 6, 11, 7, 5, 10, 8, 4, 3, 2, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  94. Morris, Robert: By Far, [0, 1, 4, 11, 3, 2, 6, 7, 5, 10, 8, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  95. Morris, Robert: Tête‐à‐Tête, [0, 3, 11, 10, 1, 8, 2, 6, 9, 5, 4, 7], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  96. Morris, Robert: Roundelay, row 1, [0, 7, 4, 11, 9, 2, 6, 3, 10, 5, 8, 1], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  97. Morris, Robert: Roundelay, row 2, [0, 5, 9, 7, 8, 10, 4, 11, 1, 6, 2, 3], T6; I11; RI5, (0, 2, 3, 4, 5, 7)
  98. Morris, Robert: Roundelay, row 5, [0, 3, 11, 4, 1, 2, 8, 10, 5, 9, 7, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  99. Morris, Robert: Roundelay, row 6, [0, 10, 5, 11, 4, 6, 8, 7, 2, 3, 9, 1], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  100. Nono, Luigi: Canti per tredeci, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  101. Nono, Luigi: Il canto sospeso, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  102. Nono, Luigi: Variazioni canoniche sulla serie dell’op. 41 di Arnold Schönberg, [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  103. Nono, Luigi: Cori di Didone, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  104. Nono, Luigi: Ha venido, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  105. Nono, Luigi: Intolleranza, Tenor 1, [0, 6, 11, 5, 10, 4, 9, 3, 8, 2, 7, 1], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  106. Nono, Luigi: Intolleranza, Tenor 2, [0, 1, 3, 2, 4, 5, 7, 6, 8, 9, 11, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  107. Nono, Luigi: Intolleranza, Alto, [0, 6, 7, 1, 2, 8, 9, 3, 4, 10, 11, 5], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  108. Nono, Luigi: Composizione per orchestra No. 1, [0, 1, 7, 6, 2, 8, 4, 3, 5, 10, 11, 9], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  109. Nono, Luigi: La terra e la compagna (sketch), Series 1, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  110. Nono, Luigi: La terra e la compagna (sketch), Series 2, [0, 6, 1, 7, 11, 5, 2, 8, 10, 4, 3, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  111. Panufnik, Andrzej: Sinfonia di Sfere (Symphony No.5), Chord 1, [0, 4, 8, 11, 3, 7, 10, 2, 6, 9, 1, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  112. Pärt, Arvo: Diagrams, [0, 11, 2, 1, 3, 4, 9, 10, 7, 8, 6, 5], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  113. Rochberg, George: Sonata-Fantasia, [0, 11, 10, 4, 5, 6, 9, 8, 7, 1, 2, 3], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  114. Rochberg, George: Symphony no. 2, [0, 8, 1, 4, 9, 5, 6, 2, 3, 10, 11, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  115. Santoro, Claudio: Sonata no. 1, [0, 10, 3, 8, 11, 1, 2, 9, 7, 4, 5, 6], T6; I5; RI11, (0, 2, 3, 4, 5, 7)
  116. Schnittke, Alfred: Concerto Grosso No. 3, monogram 3, [0, 11, 2, 1, 3, 4, 10, 9, 7, 8, 5, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  117. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 6, [0, 11, 2, 1, 9, 10, 7, 8, 4, 3, 6, 5], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  118. Schnittke, Alfred: Concerto Grosso No. 3, (mvt 3, 4), row 8, [0, 11, 7, 9, 10, 8, 6, 5, 3, 4, 1, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  119. Schnittke, Alfred: Sonata No. 2 for Cello and Piano, mvt 2, [0, 2, 3, 1, 4, 5, 11, 10, 7, 9, 8, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  120. Schnittke, Alfred: Piano Sonata No. 1, mvt 2, mm. 72–76, [0, 6, 5, 11, 10, 4, 3, 9, 8, 2, 1, 7], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  121. Schnittke, Alfred: Concerto No. 2 for Violin and Chamber Orchestra, [0, 11, 1, 2, 10, 3, 4, 9, 5, 6, 8, 7], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  122. Schnittke, Alfred: Symphony No. 7, mvt 3, row X, [0, 1, 10, 11, 2, 3, 9, 4, 5, 8, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  123. Schnittke, Alfred: Symphony No. 7, mvt 3, row y, [0, 1, 11, 10, 8, 9, 7, 6, 5, 4, 3, 2], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  124. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.31, [0, 11, 9, 10, 8, 7, 6, 5, 3, 4, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  125. Schnittke, Alfred: String Quartet no. 4, mvt 2, m.40, [0, 5, 10, 3, 2, 7, 8, 1, 6, 11, 4, 9], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  126. Schnittke, Alfred: String Quartet no. 4, mvt 4, m.122, [0, 1, 11, 2, 10, 3, 4, 9, 8, 7, 6, 5], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  127. Schoenberg, Arnold: Psalm 130, De Profundis (unfinished), Op. 50B, [0, 6, 5, 1, 11, 7, 4, 8, 9, 3, 2, 10], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  128. Schoenberg, Arnold: Four Pieces for Mixed Chorus, No. 3, Op. 27 No. 3, [0, 11, 7, 9, 10, 8, 4, 5, 1, 3, 2, 6], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  129. Schoenberg, Arnold: Modern Psalms, The First Psalm, Op. 50c, [0, 11, 8, 4, 7, 3, 1, 5, 2, 6, 9, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  130. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 1), [0, 11, 3, 4, 8, 7, 2, 1, 5, 6, 10, 9], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  131. Schoenberg, Arnold: Ode To Napoleon Buonaparte, Op. 41 (view 2), [0, 1, 9, 8, 4, 5, 7, 6, 10, 11, 3, 2], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  132. Schoenberg, Arnold: Phantasia for Piano (Four Hands), [0, 4, 2, 5, 3, 7, 11, 10, 1, 8, 9, 6], T6; I1; RI7, (0, 2, 3, 4, 5, 7)
  133. Schoenberg, Arnold: Serenade, mvt 4, “Sonett”, Op. 24, [0, 10, 11, 7, 8, 9, 4, 2, 5, 1, 3, 6], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  134. Schoenberg, Arnold: Suite, Op. 29, [0, 4, 3, 7, 11, 8, 9, 6, 5, 1, 2, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  135. Schoenberg, Arnold: Three Songs, No. 3, “Madchenlied”, Op. 48, [0, 6, 8, 10, 2, 4, 9, 5, 3, 11, 7, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  136. Schwantner, Joseph: In Aeternum (Principal Row), [0, 4, 11, 6, 10, 5, 1, 9, 2, 7, 3, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  137. Schwantner, Joseph: In Aeternum (Derived Row), [0, 3, 11, 2, 10, 1, 7, 4, 8, 5, 9, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  138. Schwantner, Joseph: Modus Caelestis (A), [0, 6, 7, 1, 11, 5, 4, 10, 8, 2, 3, 9], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  139. Schwantner, Joseph: Elixir (Consortium VIII), [0, 8, 4, 3, 7, 11, 10, 6, 9, 5, 1, 2], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  140. Schwantner, Joseph: Elixir (Consortium VIII), m.22, [0, 1, 4, 5, 8, 9, 6, 7, 10, 11, 2, 3], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  141. Schwantner, Joseph: …and the mountains rising nowhere, [0, 11, 8, 7, 4, 3, 2, 1, 10, 9, 6, 5], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  142. Seiber, Mátyás: String Quartet no. 2, [0, 2, 3, 1, 4, 11, 5, 10, 7, 9, 8, 6], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  143. Slonimsky, Nicolas: N/A – “Grandmother chord”, [0, 1, 11, 2, 10, 3, 9, 4, 8, 5, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  144. Smith, Hale: Contours for Orchestra, [0, 5, 6, 4, 10, 11, 7, 2, 1, 3, 9, 8], T3,9; I1,7; RI4,10, (0, 1, 2, 6, 7, 8)
  145. Stockhausen, Karlheinz: Gruppen, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  146. Stockhausen, Karlheinz: Klavierstück VII, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  147. Stockhausen, Karlheinz: Kreuzspiel, [0, 10, 9, 11, 7, 2, 8, 1, 4, 6, 5, 3], T6; I3; RI9, (0, 2, 3, 4, 5, 7)
  148. Stockhausen, Karlheinz: Tierkreis, Scorpio, [0, 4, 3, 11, 7, 8, 10, 9, 2, 5, 1, 6], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  149. Stockhausen, Karlheinz: Tierkreis, Cancer, [0, 7, 11, 10, 9, 8, 3, 6, 4, 1, 5, 2], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  150. Stockhausen, Karlheinz: Klavierstück IX, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  151. Stockhausen, Karlheinz: Klavierstück X, [0, 8, 1, 10, 9, 11, 5, 3, 4, 7, 2, 6], T6; I3; RI9, (0, 1, 2, 3, 4, 5)
  152. Stravinsky, Igor: Agon, “Pas de deux”, “Four trios”, [0, 1, 4, 3, 2, 5, 6, 9, 8, 11, 10, 7], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  153. Stravinsky, Igor: Canticum Sacrum, II & IV, [0, 11, 1, 3, 4, 2, 7, 6, 9, 5, 8, 10], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  154. Stravinsky, Igor: Fanfare for a New Theater, [0, 11, 1, 3, 4, 2, 5, 7, 6, 8, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  155. Stravinsky, Igor: Movements, [0, 1, 7, 5, 6, 11, 9, 8, 10, 3, 4, 2], T3,9; I3,9; RI6,12, (0, 1, 2, 6, 7, 8)
  156. Talma, Louise: Six Etudes, Etude 4, [0, 1, 5, 9, 4, 8, 7, 6, 11, 2, 10, 3], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  157. Talma, Louise: Passacaglia and Fugue, [0, 4, 2, 9, 11, 7, 8, 3, 1, 6, 5, 10], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  158. Webern, Anton: 3 Lieder, “Erlösung”, Op. 18, No. 2, [0, 3, 11, 2, 10, 1, 9, 5, 8, 4, 7, 6], T6; I7; RI1, (0, 1, 2, 3, 4, 5)
  159. Webern, Anton: 3 Volkstexte, “Heiland, Unsere Missetaten…”, Op. 17, No. 3, [0, 9, 8, 7, 11, 10, 4, 5, 6, 3, 2, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  160. Webern, Anton: Concerto for Nine Instruments (Konzert), Op. 24, [0, 11, 3, 4, 8, 7, 9, 5, 6, 1, 2, 10], T2,6,10; I1,5,9; RI3,7,11, (0, 1, 4, 5, 8, 9)
  161. Webern, Anton: Op. 32 (un-finished), later sketch, [0, 1, 2, 11, 10, 9, 5, 4, 3, 6, 7, 8], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  162. Webern, Anton: Symphony, Op. 21, [0, 3, 2, 1, 5, 4, 10, 11, 7, 8, 9, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  163. Webern, Anton: Variations for Orchestra, Op. 30, [0, 1, 4, 3, 2, 5, 6, 9, 8, 7, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  164. Webern, Anton: Variations for Piano, Op. 27, [0, 8, 7, 11, 10, 9, 3, 1, 4, 2, 6, 5], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  165. Westergaard, Peter: Mr. and Mrs. Discobbolos, [0, 2, 1, 4, 3, 5, 8, 6, 10, 7, 11, 9], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  166. Wolpe, Stefan: Four Studies on Basic Rows, No.1 – Study on Tritones, [0, 6, 7, 1, 2, 8, 11, 5, 10, 4, 9, 3], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  167. Wolpe, Stefan: Four Studies on Basic Rows, No.2 – Study on Thirds, [0, 11, 9, 8, 10, 7, 6, 5, 3, 2, 4, 1], T6; I1; RI7, (0, 1, 2, 3, 4, 5)
  168. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 1, [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  169. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 2, [0, 2, 4, 6, 8, 10, 11, 1, 3, 5, 7, 9], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  170. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 3, [0, 3, 1, 4, 2, 5, 6, 9, 7, 10, 8, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  171. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 4, [0, 4, 8, 2, 6, 10, 3, 7, 11, 5, 9, 1], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  172. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 5, [0, 5, 2, 7, 4, 9, 6, 11, 8, 1, 10, 3], T6; I3; RI9, (0, 2, 4, 5, 7, 9)
  173. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 6, [0, 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11], T3,9; I5,11; RI2,8, (0, 1, 2, 6, 7, 8)
  174. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 7, [0, 7, 2, 9, 4, 11, 6, 1, 8, 3, 10, 5], T6; I5; RI11, (0, 2, 4, 5, 7, 9)
  175. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 8, [0, 8, 4, 1, 9, 5, 2, 10, 6, 3, 11, 7], T2,6,10; I3,7,11; RI1,5,9, (0, 1, 4, 5, 8, 9)
  176. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 9, [0, 9, 1, 10, 2, 11, 6, 3, 7, 4, 8, 5], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  177. Wolpe, Stefan: Four Studies on Basic Rows, No.4, “Basic Row” 11, [0, 11, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9], T6; I9; RI3, (0, 1, 2, 3, 4, 5)
  178. Wuorinen, Charles: Sonata for Piano, [0, 3, 2, 4, 5, 1, 11, 8, 9, 7, 6, 10], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  179. Wuorinen, Charles: Second Sonata, Source set, [0, 2, 10, 3, 5, 7, 6, 4, 1, 11, 9, 8], T6; I11; RI5, (0, 2, 4, 5, 7, 9)
  180. Wuorinen, Charles: Second Sonata, Voice 2, [0, 2, 10, 9, 11, 1, 6, 4, 7, 5, 3, 8], T6; I5; RI11, (0, 1, 2, 3, 4, 5)
  181. Wuorinen, Charles: Second Sonata, Voice 3, [0, 2, 4, 3, 5, 1, 9, 7, 11, 10, 8, 6], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  182. Wuorinen, Charles: Third Piano Sonata, [0, 7, 5, 2, 10, 9, 3, 4, 8, 11, 1, 6], T6; I1; RI7, (0, 2, 4, 5, 7, 9)
  183. Wuorinen, Charles: Flute Variations II, [0, 1, 3, 2, 5, 4, 9, 10, 6, 8, 7, 11], T6; I11; RI5, (0, 1, 2, 3, 4, 5)
  184. Zimmerman, Bernd Alois: Perspektiven, [0, 2, 10, 8, 4, 6, 3, 1, 5, 7, 11, 9], T1,3,5,7,9,11; I1,3,5,7,9,11; RI2,4,6,8,10,12, (0, 2, 4, 6, 8, 10)
  1. For more on the preparation of this list, please see the open access research publication linked to this dataset: Gotham and Yust, DLfM 2021. The code and latest version of record for the list are hosted in this repository and the research paper is open access to all when approached from this contents page. In addition to Jason Yust, I would also like to thank the creators of foregoing lists of this kind (notably the Schoenberg-Berg-Webern collection here and a wiki here), the hundreds of analysts whose work is represented here, and the scholars who contributed entries to this new, combined and enlarged collection: Elizabeth West Marvin, David Maw, Rachel Mitchell, Sam Reenan, and Laurel Parsons. To contribute your own corrections or new entry to this list, please email me (Mark Gotham) at < FirstName [dot] LastName [at] tu-dortmund [dot] de > with all the relevant information: Row; Composer (Last Name(s), First Name(s)); Composition including opus number; Year; Source (e.g. URL or PDF). The row can be in any consistent text or numerical format such as ‘A-Gs-G-Cs-F-Fs-C-E-Eb-D-B-Bb’ or [0, 11, 10, 4, 8, 9, 3, 7, 6, 5, 2, 1]. ↵

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Teoría Musical Aberta (tradución en progreso) Copyright © 2022 by Mark Gotham is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.

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