List of tone rows and series

This is a list of tone rows and series. For a list of unordered collections, see set, Forte number, list of pitch-class sets, and trope.

Twelve tone rows

Row form	Integers	Interval classes	Notation	Composer: Composition	Year	Hexa-chord I	Hexa-chord II	Derivation/ Combina-toriality
P:				Anton Webern: Op. 32, later row	un- finished	6-1	6-1	—
I:				Anton Webern: Op. 32, later row	un- finished	6-1	6-1	—
P:				Igor Stravinsky: Abraham & Isaac	1963	6-Z3	6-Z36	—
I:				Igor Stravinsky: Abraham & Isaac	1963	6-Z3	6-Z36	—
P:				Arnold Schoenberg: Serenade, op. 24, mov. 5	1920–23	6-30	6-30	derived: 3-3
I:				Arnold Schoenberg: Serenade, op. 24, mov. 5	1920–23	6-30	6-30	derived: 3-3
P:				Alban Berg: Kammerkonzert	1923–25	6-Z19	6-Z44	cryptogram: "Schoenberg"
I:				Alban Berg: Kammerkonzert	1923–25	6-Z19	6-Z44	cryptogram: "Schoenberg"
P:				Arnold Schoenberg: Suite for Piano, op. 25	1921–23	6-2	6-2	—
I:				Arnold Schoenberg: Suite for Piano, op. 25	1921–23	6-2	6-2	—
P:				Pohlman Mallalieu ---- Robert Morris: Not Lilacs	n.a. ---- 1973	6-14	6-14	all-interval, RT6-invariant
I:				Pohlman Mallalieu ---- Robert Morris: Not Lilacs	n.a. ---- 1973	6-14	6-14	all-interval, RT6-invariant
P:				Anton Webern: Variations for Orchestra, Op. 30	1940	6-1	6-1	all- combinatorial
I:				Anton Webern: Variations for Orchestra, Op. 30	1940	6-1	6-1	all- combinatorial
P:				Igor Stravinsky: Agon, "Pas de deux", "Four trios"	1957	6-1	6-1	all- combinatorial
I:				Igor Stravinsky: Agon, "Pas de deux", "Four trios"	1957	6-1	6-1	all- combinatorial
P:				Arnold Schoenberg: Die Jakobsleiter	un- finished	6-Z13	6-Z42	—
I:				Arnold Schoenberg: Die Jakobsleiter	un- finished	6-Z13	6-Z42	—
P:				Walter Piston: Symphony No. 8	1965	6-Z19	6-Z44	—
I:				Walter Piston: Symphony No. 8	1965	6-Z19	6-Z44	—
P:				Roger Reynolds: Ambages	1965	6-5	6-5	—
I:				Roger Reynolds: Ambages	1965	6-5	6-5	—
P:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 3	1940–41	6-34	6-34	RI-symmetry
I:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 3	1940–41	6-34	6-34	RI-symmetry
P:				Milton Babbitt: Composition for Twelve Instruments	1948	6-20	6-20	dyadic, tri-, tetra-, and hexa- chordal combina- toriality
I:				Milton Babbitt: Composition for Twelve Instruments	1948	6-20	6-20	dyadic, tri-, tetra-, and hexa- chordal combina- toriality
P:				Edison Denisov: Fünf Geschichten von Herrn Keuner	1966	6-Z43	6-Z17	all-trichord hexachord
I:				Edison Denisov: Fünf Geschichten von Herrn Keuner	1966	6-Z43	6-Z17	all-trichord hexachord
P:				Luigi Dallapiccola: Quaderno musicale di Annalibera Variazioni per orchestra Canti di Liberazione	1952 1954 1951–55	6-31	6-31	—
I:				Luigi Dallapiccola: Quaderno musicale di Annalibera Variazioni per orchestra Canti di Liberazione	1952 1954 1951–55	6-31	6-31	—
P:				Arnold Schoenberg: Violin Concerto, op. 36	1936	6-Z50	6-Z29	—
I:				Arnold Schoenberg: Violin Concerto, op. 36	1936	6-Z50	6-Z29	—
P:				Arnold Schoenberg: A Survivor from Warsaw	1947	6-15	6-15	—
I:				Arnold Schoenberg: A Survivor from Warsaw	1947	6-15	6-15	—
P:				Milton Babbitt: All Set	1957	6-7	6-7	second-order all- combinatorial hexachord
I:				Milton Babbitt: All Set	1957	6-7	6-7	second-order all- combinatorial hexachord
P:				Edison Denisov: Viola concerto	1986	6-Z41	6-Z12	—
I:				Edison Denisov: Viola concerto	1986	6-Z41	6-Z12	—
P:				Arnold Schoenberg: Moses und Aron	un- finished	6-5	6-5	inversional
I:				Arnold Schoenberg: Moses und Aron	un- finished	6-5	6-5	inversional
P:				Igor Stravinsky: Movements	1958–59	6-7	6-7	—
I:				Igor Stravinsky: Movements	1958–59	6-7	6-7	—
P:				Alberto Ginastera: Don Rodrigo, Act I, op. 31	1963–64	6-5	6-5	—
I:				Alberto Ginastera: Don Rodrigo, Act I, op. 31	1963–64	6-5	6-5	—
P:				Karlheinz Stockhausen: Plus-Minus	1963	6-5	6-5	—
I:				Karlheinz Stockhausen: Plus-Minus	1963	6-5	6-5	—
P:				Schoenberg: "Tot" , Drei Lieder, Op. 48	1933	6-5	6-5	—
I:				Schoenberg: "Tot" , Drei Lieder, Op. 48	1933	6-5	6-5	—
P:				Karlheinz Stockhausen: Zeitmaße	1955–56	6-16	6-16	—
I:				Karlheinz Stockhausen: Zeitmaße	1955–56	6-16	6-16	—
P:				Anton Webern: Op. 32, row 1	un- finished	6-2	6-2	—
I:				Anton Webern: Op. 32, row 1	un- finished	6-2	6-2	—
P:				Anton Webern: Op. 32, row 2	un- finished	6-1	6-1	all- combinatorial
I:				Anton Webern: Op. 32, row 2	un- finished	6-1	6-1	all- combinatorial
P:				Anton Webern: Variations for piano, mov. II, op. 27	1936	6-1	6-1	all- combinatorial
I:				Anton Webern: Variations for piano, mov. II, op. 27	1936	6-1	6-1	all- combinatorial
P:				Igor Stravinsky: A Sermon, a Narrative and a Prayer	1961	6-2	6-2	—
I:				Igor Stravinsky: A Sermon, a Narrative and a Prayer	1961	6-2	6-2	—
P:				Luigi Dallapiccola: Dialoghi		6-21	6-21	RI-invariant: P0 = RI9
I:				Luigi Dallapiccola: Dialoghi		6-21	6-21	RI-invariant: P0 = RI9
P:				Chen Yi: Near Distance	1988	6-Z23	6-Z45	—
I:				Chen Yi: Near Distance	1988	6-Z23	6-Z45	—
P:				Luigi Nono: Canti per tredeci Il canto sospeso Composizione per orchestra n. 2: Diario polacco ’58	1955 1955–56 1959	6-1	6-1	symmetrical all-interval row; all- combinatorial
I:				Nicolas Slonimsky: Grandmother chord	1938	6-1	6-1	symmetrical all-interval row; all- combinatorial
P:				Joonas Kokkonen: Symphonic Sketches, mov. 3, row A	1968	6-Z38	6-Z6	—
I:				Joonas Kokkonen: Symphonic Sketches, mov. 3, row A	1968	6-Z38	6-Z6	—
P:				Igor Stravinsky: Agon, second coda	1957	6-2	6-2	—
I:				Igor Stravinsky: coda	1957	6-2	6-2	—
P:				Igor Stravinsky: The Flood	1962	6-Z12	6-Z41	—
I:				Igor Stravinsky: The Flood	1962	6-Z12	6-Z41	—
P:				Luigi Dallapiccola: Requiescant		6-5	6-5	RI-invariant: P0 = RI5
I:				Luigi Dallapiccola: Requiescant		6-5	6-5	RI-invariant: P0 = RI5
P:				Alfred Schnittke: String Quartet No. 1	1966	6-1	6-1	all- combinatorial
I:				Alfred Schnittke: String Quartet No. 1	1966	6-1	6-1	all- combinatorial
P:				Alban Berg: Lulu, Schigolch	1934	6-1	6-1	all- combinatorial, derived: 4–1
I:				Alban Berg: Lulu, Schigolch	1934	6-1	6-1	all- combinatorial, derived: 4–1
P:				Igor Stravinsky: Agon, "Bransles"	1957	6-Z40	6-Z11	—
I:				Igor Stravinsky: Agon, "Bransles"	1957	6-Z40	6-Z11	—
P:				Alban Berg: "Der Wein"	1929	6-16	6-16	D harmonic minor & in the inverted row-form added-sixth chord with both major and minor third
I:				Alban Berg: "Der Wein"	1929	6-16	6-16	D harmonic minor & in the inverted row-form added-sixth chord with both major and minor third
P:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 2	1940–41	6-34	6-34	RI-symmetry
I:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 2	1940–41	6-34	6-34	RI-symmetry
P:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 1	1940–41	6-34	6-34	RI-symmetry
I:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 1	1940–41	6-34	6-34	RI-symmetry
P:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 6	1940–41	6-34	6-34	RI-symmetry
I:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 6	1940–41	6-34	6-34	RI-symmetry
P:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 5	1940–41	6-34	6-34	RI-symmetry
I:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 5	1940–41	6-34	6-34	RI-symmetry
P:				Alban Berg: Lulu	1934	6-35	6-35	—
I:				Alban Berg: Lulu	1934	6-35	6-35	—
P:				Igor Stravinsky: Variations	1963–64	6-9	6-9	—
I:				Igor Stravinsky: Variations	1963–64	6-9	6-9	—
P:				Arnold Schoenberg: Piano Piece , op. 33b	1931	6-34	6-34	—
I:				Arnold Schoenberg: Piano Piece , op. 33b	1931	6-34	6-34	—
P:				Alban Berg: Lulu, Schoolboy	1934	6-34	6-34	—
I:				Alban Berg: Lulu, Schoolboy	1934	6-34	6-34	—
P:				Igor Stravinsky: The Owl and the Pussy Cat	1966	6-Z23	6-Z45	—
I:				Igor Stravinsky: The Owl and the Pussy Cat	1966	6-Z23	6-Z45	—
P:				Karel Goeyvaerts: Nummer 2	1951	6-Z36	6-Z3	—
I:				Karel Goeyvaerts: Nummer 2	1951	6-Z36	6-Z3	—
P:				Igor Stravinsky: Requiem Canticles, 1st series	1966	6-2	6-2	—
I:				Igor Stravinsky: Requiem Canticles, 1st series	1966	6-2	6-2	—
P:				Joonas Kokkonen: Woodwind Quintet, mov. 1 & 2, row A & B	1973	6-1	6-1	all- combinatorial
I:				Joonas Kokkonen: Woodwind Quintet, mov. 1 & 2, row A & B	1973	6-1	6-1	all- combinatorial
P:				Arnold Schoenberg: Dreimal Tausend Jahre, Op. 50a	1949	6-9	6-9	—
I:				Arnold Schoenberg: Dreimal Tausend Jahre, Op. 50a	1949	6-9	6-9	—
P:				Arvo Pärt: Symphony No. 2	1966	6-Z36	6-Z3	derived: 4–1
I:				Arvo Pärt: Symphony No. 2	1966	6-Z36	6-Z3	derived: 4–1
P:				Milton Babbitt: Woodwind Quartet	1953	6-1	6-1	—
I:				Milton Babbitt: Woodwind Quartet	1953	6-1	6-1	—
P:				Ernst Krenek: Sechs Vermessene, Op. 168	1958	6-2	6-2	—
I:				Ernst Krenek: Sechs Vermessene, Op. 168	1958	6-2	6-2	—
P:				Ernst Krenek: Karl V	1938	6-Z39	6-Z10	—
I:				Ernst Krenek: Karl V	1938	6-Z39	6-Z10	—
P:				Donald Martino: Fantasy Variations	1962	6-9	6-9	—
I:				Donald Martino: Fantasy Variations	1962	6-9	6-9	—
P:				Benjamin Frankel: The Curse of the Werewolf	1961	6-Z37	6-Z4	—
I:				Benjamin Frankel: The Curse of the Werewolf	1961	6-Z37	6-Z4	—
P:				Karlheinz Stockhausen: "Aries", from Tierkreis	1974–75	6-18	6-18	—
I:				Karlheinz Stockhausen: "Aries", from Tierkreis	1974–75	6-18	6-18	—
P:				Anton Webern: Symphony, Op. 21	1928	6-1	6-1	all- combinatorial
I:				Anton Webern: Symphony, Op. 21	1928	6-1	6-1	all- combinatorial
P:				Igor Stravinsky: Agon, "Mystery"	1957	6-31	6-31	—
I:				Igor Stravinsky: Agon, "Mystery"	1957	6-31	6-31	—
P:				Karlheinz Stockhausen: Klavierstück IV	1952	6-Z3	6-Z36	—
I:				Karlheinz Stockhausen: Klavierstück IV	1952	6-Z3	6-Z36	—
P:				Karlheinz Stockhausen: "Aquarius", from Tierkreis	1974–75	6-Z6	6-Z38	—
I:				Karlheinz Stockhausen: "Aquarius", from Tierkreis	1974–75	6-Z6	6-Z38	—
P:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 4	1940–41	6-34	6-34	RI-symmetry
I:				Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 4	1940–41	6-34	6-34	RI-symmetry
P:				Alban Berg: Violin Concerto	1935	6-Z24	6-Z46	—
I:				Alban Berg: Violin Concerto	1935	6-Z24	6-Z46	—
P:				Anton Webern: "Erlösung" from Drei Lieder, Op. 18, No. 2	1910–13	6-1	6-1	all- combinatorial
I:				Anton Webern: "Erlösung" from Drei Lieder, Op. 18, No. 2	1910–13	6-1	6-1	all- combinatorial
P:				Ernst Krenek: Quaestio temporis, Op. 170	1959	6-1	6-1	all- combinatorial retrograde-symmetry
I:				Ernst Krenek: Quaestio temporis, Op. 170	1959	6-1	6-1	all- combinatorial retrograde-symmetry
P:				Anton Webern: Op. 31	1941–43	6-Z3	6-Z36	—
I:				Anton Webern: Op. 31	1941–43	6-Z3	6-Z36	—
P:				Milton Babbitt: Composition for Four Instruments, row iv	1948	6–20	6–20	all- combinatorial hexachord
I:				Milton Babbitt: Composition for Four Instruments, row iv	1948	6–20	6–20	all- combinatorial hexachord
P:				Milton Babbitt: Composition for Four Instruments	1948	6–1	6–1	all- combinatorial hexachord
I:				Milton Babbitt: Composition for Four Instruments	1948	6–1	6–1	all- combinatorial hexachord
P:				Igor Stravinsky: Anthem	1962	6–33	6–33	—
I:				Igor Stravinsky: Anthem	1962	6–33	6–33	—
P:				Karlheinz Stockhausen: Licht, Eve formula	1977– 2003	6–2	6–2	—
I:				Karlheinz Stockhausen: Licht, Eve formula	1977– 2003	6–2	6–2	—
P:				Arnold Schoenberg: Ode to Napoleon Buonaparte Suite Op. 29 ---- Luigi Nono: Variazioni canoniche sulla serie dell'op. 41 di Arnold Schönberg	1942 1926 ---- 1950	6–20	6–20	all- combinatorial
I:				Arnold Schoenberg: Ode to Napoleon Buonaparte Suite Op. 29 ---- Luigi Nono: Variazioni canoniche sulla serie dell'op. 41 di Arnold Schönberg	1942 1926 ---- 1950	6–20	6–20	all- combinatorial
P:				Milton Babbitt: Composition for Four Instruments, row iii	1948	6–20	6–20	all- combinatorial hexachord
I:				Milton Babbitt: Composition for Four Instruments, row iii	1948	6–20	6–20	all- combinatorial hexachord
P:				Karlheinz Stockhausen: "Scorpio", from Tierkreis	1974–75	6–20	6–20	—
I:				Karlheinz Stockhausen: "Scorpio", from Tierkreis	1974–75	6–20	6–20	—
P:				Ernst Krenek: Suite, Op. 84 for solo cello		6–5	6–5	—
I:				Ernst Krenek: Suite, Op. 84 for solo cello		6–5	6–5	—
P:				Alban Berg: Lulu	1934	6–9	6–9	—
I:				Alban Berg: Lulu	1934	6–9	6–9	—
P:				Alban Berg: Lulu, Basic	1934	6–32	6–32	circle of fifths
I:				Alban Berg: Lulu, Basic	1934	6–32	6–32	circle of fifths
P:				Milton Babbitt: All Set	1957	6–7	6–7	second-order all- combinatorial hexachord
I:				Milton Babbitt: All Set	1957	6–7	6–7	second-order all- combinatorial hexachord
P:				Karlheinz Stockhausen: "Gemini", from Tierkreis	1974–75	6-Z41	6-Z12	—
I:				Karlheinz Stockhausen: "Gemini", from Tierkreis	1974–75	6-Z41	6-Z12	—
P:				Robert Moevs: Three Symphonic Pieces, mov. 2	1954–55	6-Z17	6-Z43	all-trichord hexachord
I:				Robert Moevs: Three Symphonic Pieces, mov. 2	1954–55	6-Z17	6-Z43	all-trichord hexachord
P:				Juan Carlos Paz: Canciones y Baladas, Balada II	1936	6–34	6–34	—
I:				Juan Carlos Paz: Canciones y Baladas, Balada II	1936	6–34	6–34	—
P:				Alban Berg: Lulu, Chorale	1934	6-Z39	6-Z10	—
I:				Alban Berg: Lulu, Chorale	1934	6-Z39	6-Z10	—
P:				Michael Gielen: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano	1958	6–1	6–1	retrograde-symmetrical all-interval row, all- combinatorial hexachords
I:				Michael Gielen: Six Songs, for bass, violin, viola, clarinet, bass clarinet, and piano	1958	6–1	6–1	retrograde-symmetrical all-interval row, all- combinatorial hexachords
P:				Alfred Schnittke: Concerto Grosso No. 3	1985	6–31	6–31	—
I:				Alfred Schnittke: Concerto Grosso No. 3	1985	6–31	6–31	—
P:				Benjamin Britten: The Turn of the Screw	1954	6–32	6–32	—
I:				Benjamin Britten: The Turn of the Screw	1954	6–32	6–32	—
P:				Dmitri Shostakovich: Symphony No. 14, mov. III	1969	6-Z47	6-Z25	—
I:				Dmitri Shostakovich: Symphony No. 14, mov. III	1969	6-Z47	6-Z25	—
P:				Alban Berg: Lulu, Countess Geschwitz	1934	6-Z47	6-Z25	—
I:				Alban Berg: Lulu, Countess Geschwitz	1934	6-Z47	6-Z25	—
P:				Igor Stravinsky: Threni	1958	6-Z41	6-Z12	—
I:				Igor Stravinsky: Threni	1958	6-Z41	6-Z12	—
P:				Milton Babbitt: Three Compositions for Piano, no. I	1947	6–8	6–8	—
I:				Milton Babbitt: Three Compositions for Piano, no. I	1947	6–8	6–8	—
P:				Alban Berg: Lulu, Acrobat/Athlete	1934	6-Z17	6-Z43	all-trichord hexachord
I:				Alban Berg: Lulu, Acrobat/Athlete	1934	6-Z17	6-Z43	all-trichord hexachord
P:				Alban Berg: Lulu, Dr. Schön	1934	6-Z25	6-Z47	—
I:				Alban Berg: Lulu, Dr. Schön	1934	6-Z25	6-Z47	—
P:				Karlheinz Stockhausen: "Leo", from Tierkreis	1974–75	6Z-13	6-Z42	—
I:				Karlheinz Stockhausen: "Leo", from Tierkreis	1974–75	6Z-13	6-Z42	—
P:				Igor Stravinsky: Elegy for J.F.K.	1964	6–34	6–34	—
I:				Igor Stravinsky: Elegy for J.F.K.	1964	6–34	6–34	—
P:				Karel Husa: Mosaïques	1960	6-Z45	6-Z23	—
I:				Karel Husa: Mosaïques	1960	6-Z45	6-Z23	—
P:				Arnold Schoenberg: "De Profundis", Op. 50b	1950	6–7	6–7	—
I:				Arnold Schoenberg: "De Profundis", Op. 50b	1950	6–7	6–7	—
P:				Karlheinz Stockhausen: "Sagittarius", from Tierkreis	1974–75	6–2	6–2	—
I:				Karlheinz Stockhausen: "Sagittarius", from Tierkreis	1974–75	6–2	6–2	—
P:				Witold Lutosławski: Musique funèbre	1954–58	6–7	6–7	—
I:				Witold Lutosławski: Musique funèbre	1954–58	6–7	6–7	—
P:				Wolfgang Amadeus Mozart: String Quartet in E major, K. 428 first movement, opening of development section		6–5	6–5	—
I:				Wolfgang Amadeus Mozart: String Quartet in E major, K. 428 first movement, opening of development section		6–5	6–5	—
P:				Arnold Schoenberg: Variations, Op. 31	1926–28	6–5	6–5	Bach motif
I:				Arnold Schoenberg: Variations, Op. 31	1926–28	6–5	6–5	Bach motif
P:				Arnold Schoenberg: Three Songs, Op. 48	1933	6–35	6–35	—
I:				Arnold Schoenberg: Three Songs, Op. 48	1933	6–35	6–35	—
P:				Josef Matthias Hauer: Salambo, op. 60	1929	6-21	6-21	—
I:				Josef Matthias Hauer: Salambo, op. 60	1929	6-21	6-21	—
P:				Michel Fano: Sonata for Two Pianos	1951	6-Z3	6-Z36	retrograde-symmetry
I:				Michel Fano: Sonata for Two Pianos	1951	6-Z3	6-Z36	retrograde-symmetry
P:				Ben Johnston: String Quartet No. 7, mov. 2	1984	6–21	6–21	just intonation: otonality & utonality
I:				Ben Johnston: String Quartet No. 7, mov. 2	1984	6–21	6–21	just intonation: otonality & utonality
P:				Karlheinz Stockhausen: Klavierstück IV	1952	6–2	6–2	—
I:				Karlheinz Stockhausen: Klavierstück IV	1952	6–2	6–2	—
P:				Arnold Schoenberg: Piano Piece, op. 33a	1928	6–5	6–5	—
I:				Arnold Schoenberg: Piano Piece, op. 33a	1928	6–5	6–5	—
P:				Alberto Ginastera: Quintet, op. 29	1963	6–31	6–31	—
I:				Alberto Ginastera: Quintet, op. 29	1963	6–31	6–31	—
P:				Elliott Carter: Piano Concerto, Orchestra	1964–65	6-Z43	6-Z17	all-trichord hexachord; ordered in register
I:				Elliott Carter: Piano Concerto, Orchestra	1964–65	6-Z43	6-Z17	all-trichord hexachord; ordered in register
P:				Igor Stravinsky: Requiem Canticles, 2nd series	1966	6-Z40	6-Z11	—
I:				Igor Stravinsky: Requiem Canticles, 2nd series	1966	6-Z40	6-Z11	—
P:				Ernst Krenek: String Quartet No. 7, op. 96	1943–44	6-Z12	6-Z41	—
I:				Ernst Krenek: String Quartet No. 7, op. 96	1943–44	6-Z12	6-Z41	—
P:				Arnold Schoenberg: Piano Concerto, Op. 42	1942	6–9	6–9	inversional
I:				Arnold Schoenberg: Piano Concerto, Op. 42	1942	6–9	6–9	inversional
P:				Anton Webern: Op. 23	1933	6-Z10	6-Z39	—
I:				Anton Webern: Op. 23	1933	6-Z10	6-Z39	—
P:				Ross Lee Finney: Edge of Shadow	1959	6–8	6–8	—
I:				Ross Lee Finney: Edge of Shadow	1959	6–8	6–8	—
P:				Karlheinz Stockhausen: "Cancer", from Tierkreis	1974–75	6–1	6–1	all- combinatorial
I:				Karlheinz Stockhausen: "Cancer", from Tierkreis	1974–75	6–1	6–1	all- combinatorial
P:				Arnold Schoenberg: String Trio, Op. 45	1946	6–5	6–5	—
I:				Arnold Schoenberg: String Trio, Op. 45	1946	6–5	6–5	—
P:				Karlheinz Stockhausen: Klavierstück VII Gruppen Klavierstück IX Klavierstück X	1955 1955–57 1961 1961	6–1	6–1	all- combinatorial hexachord, retrograde-symmetrical all-interval
I:				Karlheinz Stockhausen: Klavierstück VII Gruppen Klavierstück IX Klavierstück X	1955 1955–57 1961 1961	6–1	6–1	all- combinatorial hexachord, retrograde-symmetrical all-interval
P:				Karlheinz Stockhausen: Klavierstück V Klavierstück VIII	1954–55 1954	6-Z3	6-Z36	—
I:				Karlheinz Stockhausen: Klavierstück V Klavierstück VIII	1954–55 1954	6-Z3	6-Z36	—
P:				Elliott Carter: Piano Concerto, Solo	1964–65	6-Z17	6-Z43	all-interval hexachord; ordered in register
I:				Elliott Carter: Piano Concerto, Solo	1964–65	6-Z17	6-Z43	all-interval hexachord; ordered in register
P:				Alban Berg: Lulu, Alwa	1934	6-Z25	6-Z47	—
I:				Alban Berg: Lulu, Alwa	1934	6-Z25	6-Z47	—
P:				Elliott Carter: A Symphony of Three Orchestras	1976	6-Z24	6-Z46	ordered in register
I:				Elliott Carter: A Symphony of Three Orchestras	1976	6-Z24	6-Z46	ordered in register
P:				Anton Webern: Variations for piano, mov. III, op. 27	1936	6–1	6–1	all- combinatorial
I:				Anton Webern: Variations for piano, mov. III, op. 27	1936	6–1	6–1	all- combinatorial
P:				Anton Webern: Op. 29	1938	6–2	6–2	semi-combinatorial, RI-invariant: P0 = RI5
I:				Anton Webern: Op. 29	1938	6–2	6–2	semi-combinatorial, RI-invariant: P0 = RI5
P:				Ernst Krenek: Sestina, op. 161	1957	6–22	6–22	—
I:				Ernst Krenek: Sestina, op. 161	1957	6–22	6–22	—
P:				Luigi Dallapiccola: Piccola musica notturna	1954	6–8	6–8	—
I:				Luigi Dallapiccola: Piccola musica notturna	1954	6–8	6–8	—
P:				Milton Babbitt: Composition for Synthesizer	1961	6–20	6–20	—
I:				Milton Babbitt: Composition for Synthesizer	1961	6–20	6–20	—
P:				Milton Babbitt: Composition for Four Instruments	1948	6–1	6–1	all- combinatorial
I:				Milton Babbitt: Composition for Four Instruments	1948	6–1	6–1	all- combinatorial
P:				Igor Stravinsky: Epitaphium	1959	6-Z3	6-Z36	—
I:				Igor Stravinsky: Epitaphium	1959	6-Z3	6-Z36	—
P:				Karlheinz Stockhausen: "Capricorn", from Tierkreis	1974–75	6-Z47	6-Z25	—
I:				Karlheinz Stockhausen: "Capricorn", from Tierkreis	1974–75	6-Z47	6-Z25	—
P:				David Dzubay: Di/Con	1988	6-Z39	6-Z10	—
I:				David Dzubay: Di/Con	1988	6-Z39	6-Z10	—
P:				Anton Webern: Op. 22	1929–30	6–2	6–2	semi-combinatorial
I:				Anton Webern: Op. 22	1929–30	6–2	6–2	semi-combinatorial
P:				Milton Babbitt: Composition for Four Instruments, row ii	1948	6–8	6–8	—
I:				Milton Babbitt: Composition for Four Instruments, row ii	1948	6–8	6–8	—
P:				Pierre Boulez: Le marteau sans maître	1953–55	6-Z10	6-Z39	—
I:				Pierre Boulez: Le marteau sans maître	1953–55	6-Z10	6-Z39	—
P:				Charles Ives: Tone Roads No. 1	1911	6-Z46	6-Z24	—
I:				Charles Ives: Tone Roads No. 1	1911	6-Z46	6-Z24	—
P:				Elliott Carter: Night Fantasies	1982	6–14	6–14	—
I:				Elliott Carter: Night Fantasies	1982	6–14	6–14	—
P:				Milton Babbitt: Composition for Four Instruments, row i	1948	6–8	6–8	—
I:				Milton Babbitt: Composition for Four Instruments, row i	1948	6–8	6–8	—
P:				Karlheinz Stockhausen: Kreuzspiel	1951	6-Z50	6-Z29	—
I:				Karlheinz Stockhausen: Kreuzspiel	1951	6-Z50	6-Z29	—
P:				Igor Stravinsky: Agon, "Double Pas de Quatre"	1957	6-Z3	6-Z36	—
I:				Igor Stravinsky: Agon, "Double Pas de Quatre"	1957	6-Z3	6-Z36	—
P:				Igor Stravinsky: Fanfare	1964	6–1	6–1	all- combinatorial
I:				Igor Stravinsky: Fanfare	1964	6–1	6–1	all- combinatorial
P:				Igor Stravinsky: Canticum Sacrum, II & IV	1955	6–1	6–1	all- combinatorial
I:				Igor Stravinsky: Canticum Sacrum, II & IV	1955	6–1	6–1	all- combinatorial
P:				Chen Yi: Woodwind Quintet	1987	6-Z4	6-Z37	—
I:				Chen Yi: Woodwind Quintet	1987	6-Z4	6-Z37	—
P:				Arvo Pärt: Diagrams	1964	6–1	6–1	all- combinatorial
I:				Arvo Pärt: Diagrams	1964	6–1	6–1	all- combinatorial
P:				Anton Webern: String Quartet, Op. 28:	1936	6–5	6–5	derived: 4–1, semi-combinatorial
I:				Anton Webern: String Quartet, Op. 28:	1936	6–5	6–5	derived: 4–1, semi-combinatorial
P:				Alberto Ginastera: Violin Concerto, op. 30	1963	6–1	6–1	all- combinatorial
I:				Alberto Ginastera: Violin Concerto, op. 30	1963	6–1	6–1	all- combinatorial
P:				Elliott Carter: String Quartet No. 3	1973	6-Z23	6-Z45	—
I:				Elliott Carter: String Quartet No. 3	1973	6-Z23	6-Z45	—
P:				Arnold Schoenberg: Violin Phantasy, Op. 47	1949	6–21	6–21	—
I:				Arnold Schoenberg: Violin Phantasy, Op. 47	1949	6–21	6–21	—
P:				Igor Stravinsky: Double Canon	1959	6-Z36	6-Z3	—
I:				Igor Stravinsky: Double Canon	1959	6-Z36	6-Z3	—
P:				Anton Webern: Concerto for Nine Instruments, Op. 24	1934	6–20	6–20	all- combinatorial, derived: 3–3
I:				Anton Webern: Concerto for Nine Instruments, Op. 24	1934	6–20	6–20	all- combinatorial, derived: 3–3
P:				David Lewin: Just a Minute, Roger	1978	6–16	6–16	—
I:				David Lewin: Just a Minute, Roger	1978	6–16	6–16	—
P:				Alfred Schnittke: Viola Concerto	1985	6–5	6–5	—
I:				Alfred Schnittke: Viola Concerto	1985	6–5	6–5	—
P:				Luigi Dallapiccola: Cinque Canti		6-Z50	6-Z29	RI-invariant: P0 = RI9
I:				Luigi Dallapiccola: Cinque Canti		6-Z50	6-Z29	RI-invariant: P0 = RI9
P:				Pierre Boulez: Structures Ia	1952	6–5	6–5	—
I:				Pierre Boulez: Structures Ia	1952	6–5	6–5	—
P:				George Perle: Three Inventions for Piano, no. 3		6–7	6–7	all- combinatorial
I:				George Perle: Three Inventions for Piano, no. 3		6–7	6–7	all- combinatorial
P:				Alban Berg: Lyric Suite, mov. III	1925–26	6–9	6–9	—
I:				Alban Berg: Lyric Suite, mov. III	1925–26	6–9	6–9	—
P:				Alban Berg: Lyric Suite, mov. VI, row 1	1925–26	6-Z44	6-Z19	—
I:				Alban Berg: Lyric Suite, mov. VI, row 1	1925–26	6-Z44	6-Z19	—
P:				Fritz Heinrich Klein ---- Alban Berg: Lyric Suite, mov. I ---- Alberto Ginastera: Sonata for Guitar, mvt. III, op. 47	1920–22 ---- 1925–26 ---- 1976	6–32	6–32	Mother chord Trichordally combinatorial: 0369
I:				Fritz Heinrich Klein ---- Alban Berg: Lyric Suite, mov. I ---- Alberto Ginastera: Sonata for Guitar, mvt. III, op. 47	1920–22 ---- 1925–26 ---- 1976	6–32	6–32	Mother chord Trichordally combinatorial: 0369
P:				Arnold Schoenberg: String quartet No. 4	1936	6–16	6–16	—
I:				Arnold Schoenberg: String quartet No. 4	1936	6–16	6–16	—
P:				Arnold Schoenberg: Modern Psalm, Op. 50c	1950	6–20	6–20	—
I:				Arnold Schoenberg: Modern Psalm, Op. 50c	1950	6–20	6–20	—
P:				Alban Berg: Lyric Suite, row 2	1925–26	6-Z3	6-Z36	—
I:				Alban Berg: Lyric Suite, row 2	1925–26	6-Z3	6-Z36	—
P:				Milton Babbitt: "The Widow's Lament in Springtime"	1951	6–8	6–8	—
I:				Milton Babbitt: "The Widow's Lament in Springtime"	1951	6–8	6–8	—
P:				Dmitri Shostakovich: Symphony No. 14, mov. I	1969	6–5	6–5	—
I:				Dmitri Shostakovich: Symphony No. 14, mov. I	1969	6–5	6–5	—
P:				Igor Stravinsky: Canticum Sacrum, II	1955	6–2	6–2	—
I:				Igor Stravinsky: Canticum Sacrum, II	1955	6–2	6–2	—
P:				Alfred Schnittke: String Quartet No. 4, Mov. I	1989	6–1	6–1	all-combinatorial
I:				Alfred Schnittke: String Quartet No. 4, Mov. I	1989	6–1	6–1	all-combinatorial
P:				Arvo Pärt: Symphony No. 1 Perpetuum Mobile	1963 1963	6–5	6–5	—
I:				Arvo Pärt: Symphony No. 1 Perpetuum Mobile	1963 1963	6–5	6–5	—

Other lengths

Fewer than twelve

;Five

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Igor Stravinsky: In memoriam Dylan Thomas	1954	5–1	—

;Six

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Pierre Boulez: Messagesquisse ---- Répons ---- Dérive 1 ---- Incises ---- sur Incises	1976 ---- 1984 ---- 1984 ---- 1994 ---- 1996	6-Z11,	Musical cryptogram: Paul Sacher
			Conrad Beck: Für Paul Sacher: Drei Epigramme für Violoncello solo	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Luciano Berio: Les Mots sont allés	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Benjamin Britten: Tema "Sacher"	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Henri Dutilleux: Trois Strophes sur le nom de Sacher	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Wolfgang Fortner: Zum Spielen für den 70. Geburtstag: Thema und Variationen für Violoncello Solo	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Alberto Ginastera :Puneña n° 2, op. 45	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Cristóbal Halffter: Variationen über das Thema eSACHERe	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Hans Werner Henze: Capriccio per Paul Sacher	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Heinz Holliger: Chaconne, für Violoncello Solo	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Klaus Huber: Transpositio ad infinitum	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Witold Lutosławski: Sacher-Variationen	1976	6-Z11,	Musical cryptogram: Paul Sacher
			Arnold Schoenberg: Die glückliche Hand, Op. 18 ---- "Seraphita", op. 22, no. 1	1910–13 ---- 1913–16	6-Z44	Schoenberg hexachord

;Eight

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Alban Berg: Lyric Suite	1925–26	8–5	—
			Joonas Kokkonen: Symphonic Sketches, mov. 3, row B	1968	8–1	—
			Alban Berg: Lyric Suite	1925–26	8–5	—
			Alban Berg: Lyric Suite	1925–26	8–5	—
			Igor Stravinsky: Agon, "Pas-de-Deux" refrain	1957	8–10	—
			Joonas Kokkonen: Symphonic Sketches, mov. 3, row C	1968	8–1	—

;Nine

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Joonas Kokkonen: Symphonic Sketches, mov. 3, row D	1968	9–8	—

;Ten

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Arvo Pärt: Collage sur B-A-C-H	1964	—	BACH motif

;Eleven

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Karel Husa: Music for Prague 1968	1968	—	—
			Aaron Copland: Inscape row 1	1967	—	—
			Aaron Copland: Inscape row 2	1967	—	—
			Karlheinz Stockhausen: Licht, Lucifer formula	1977– 2003	—	—

More than twelve

;Thirteen

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Karlheinz Stockhausen: "Taurus", from Tierkreis	1974–75	—	—
			Karlheinz Stockhausen: Choral	1950	—	—
			Luciano Berio: Nones	1953–54	—	—
			Karlheinz Stockhausen: "Pisces", from Tierkreis	1974–75	—	—
			Karlheinz Stockhausen: Licht, Michael formula	1977– 2003	—	—
			Karlheinz Stockhausen: "Virgo", from Tierkreis	1974–75	—	—
			Karlheinz Stockhausen: Klavierstück IV	1952	6-Z38, 6-Z6	—

;Fourteen

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Karlheinz Stockhausen: "Libra", from Tierkreis	1974–75	—	—
			Karlheinz Stockhausen: '	1973–74	—	—
			Joonas Kokkonen: Cello Concerto, mov. 3, row A	1969	—	—

;Seventeen

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Igor Stravinsky: Agon, b. 104	1957	—	—
			Igor Stravinsky: Agon, "Bransles"	1957	6-Z40, 6-Z11	—

;Twenty-two

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Joonas Kokkonen: Cello Concerto, mov. 3, row B	1969	—	—

;Twenty-four

Prime form	Interval classes	Notation	Composer: Composition	Year	Set	Features
			Pierre Boulez: Polyphonie X, quarter-tone series	1950–51	—	—
			Karlheinz Stockhausen: ', mod24	2004– 2005	—	—

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