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词条 List of pitch-class sets
释义

  1. See also

  2. Notes

  3. References

  4. External links

This is a list of pitch-class sets by Forte number.[1] For a list of ordered collections, see: list of tone rows and series.

Sets are listed next to their complements. Inversions are marked "B" (sets not marked "A" or "B" are symmetrical). 10, 11, and 12 are listed as "T", "E", and "C".

In the five instances they differ,{{efn|Forte and Rahn both list prime forms as the most left-packed possible version of a set. However, Forte packs from the left and Rahn packs from the right ("making the small numbers smaller," versus making, "the larger numbers ... smaller"[2]).}} the prime forms given are Rahn's (also used by Straus) rather than Forte's, which are given in footnotes.[3][4]

Elliott Carter had earlier (1960–67) produced a numbered listing of pitch class sets, or "chords", as Carter referred to them, for his own use.[5][6] Donald Martino had produced tables of hexachords, tetrachords, trichords, and pentachords for combinatoriality in his article, "The Source Set and its Aggregate Formations" (1961).[7]
Forte
no. 		Prime form Interval
vector 		Carter
no. 		Audio Possible
spacings 		Forte
no. 		Prime form Interval
vector 		Carter's
no. 		Audio Possible
spacings
{{Nowrap>0-1}}{{Mono|[]}}}}{{Mono|<0,0,0,0,0,0>}}}} empty set {{Nowrap>12-1}}{{Mono|[0,1,2,3,4,5,
 6,7,8,9,T,E]}}}}		{{Mono|}}}}12-1 (chromatic) dodecachord on C.mid|Play}} aggregate
{{Nowrap>1-1}}{{Mono|[0]}}}}{{Mono|<0,0,0,0,0,0>}}}}Unison on C.mid|Play}} PU, P8 {{Nowrap>11-1}}{{Mono|[0,1,2,3,4,5,
 6,7,8,9,T]}}}}		{{Mono|}}}}11-1 (chromatic) undecachord on C.mid|Play}} ...
{{Nowrap>2-1}}{{Mono|[0,1]}}}}{{Mono|<1,0,0,0,0,0>}}}} 1 Minor second on C.mid|Play}} m2, M7 {{Nowrap>10-1}}{{Mono|[0,1,2,3,4,
 5,6,7,8,9]}}}}		{{Mono|<9,8,8,8,8,4>}}}}10-1 (chromatic) decachord on C.mid|Play}} ...
{{Nowrap>2-2}}{{Mono|[0,2]}}}}{{Mono|<0,1,0,0,0,0>}}}} 2 Major second on C.mid|Play}} M2, m7 {{Nowrap>10-2}}{{Mono|[0,1,2,3,4,
 5,6,7,8,T]}}}}		{{Mono|<8,9,8,8,8,4>}}}}10-2 decachord on C.mid|Play}} ...
{{Nowrap>2-3}}{{Mono|[0,3]}}}}{{Mono|<0,0,1,0,0,0>}}}} 3 Minor third on C.mid|Play}} m3, M6 {{Nowrap>10-3}}{{Mono|[0,1,2,3,4,
 5,6,7,9,T]}}}}		{{Mono|<8,8,9,8,8,4>}}}}10-3 decachord on C.mid|Play}} ...
{{Nowrap>2-4}}{{Mono|[0,4]}}}}{{Mono|<0,0,0,1,0,0>}}}} 4 Major third on C.mid|Play}} M3, m6 {{Nowrap>10-4}}{{Mono|[0,1,2,3,4,
 5,6,8,9,T]}}}}		{{Mono|<8,8,8,9,8,4>}}}}10-4 decachord on C.mid|Play}} ...
{{Nowrap>2-5}}{{Mono|[0,5]}}}}{{Mono|<0,0,0,0,1,0>}}}} 5 Perfect fourth on C.mid|Play}} P4, P5 {{Nowrap>10-5}}{{Mono|[0,1,2,3,4,
 5,7,8,9,T]}}}}		{{Mono|<8,8,8,8,9,4>}}}}10-5 decachord on C.mid|Play}} ...
{{Nowrap>2-6}}{{Mono|[0,6]}}}}{{Mono|<0,0,0,0,0,1>}}}} 6 Tritone on C.mid|Play}} A4, d5 {{Nowrap>10-6}}{{Mono|[0,1,2,3,4,
 6,7,8,9,T]}}}}		{{Mono|<8,8,8,8,8,5>}}}}10-6 decachord on C.mid|Play}} ...
{{Nowrap>3-1}}{{Mono|[0,1,2]}}}}{{Mono|<2,1,0,0,0,0>}}}} 4 3-1 (chromatic) trichord on C.mid|Play}} ... {{Nowrap>9-1}}{{Mono|[0,1,2,3,4,
 5,6,7,8]}}}}		{{Mono|<8,7,6,6,6,3>}}}}9-1 (chromatic) nonachord on C.mid|Play}} ...
{{Nowrap>3-2A}}{{Mono|[0,1,3]}}}}{{Small|{{Mono|<1,1,1,0,0,0>}}}}123-2A trichord on C.mid|Play}} ... {{Nowrap>9-2A}}{{Mono|[0,1,2,3,4,
 5,6,7,9]}}}}		{{Small|{{Mono|<7,7,7,6,6,3>}}}}9-2A nonachord on C.mid|Play}} ...
3-2B {{Mono|[0,2,3]}}}}3-2B (minor) trichord on C.mid|Play}} ... 9-2B {{Mono|[0,2,3,4,5,
 6,7,8,9]}}}}		9-2B nonachord on C.mid|Play}} ...
{{Nowrap>3-3A}}{{Mono|[0,1,4]}}}}{{Small|{{Mono|<1,0,1,1,0,0>}}}}113-3A trichord on C.mid|Play}} ... 9-3B {{Mono|[0,1,3,4,
 5,6,7,8,9]}}}}		{{Small|{{Mono|<7,6,7,7,6,3>}}}}9-3B nonachord on C.mid|Play}} ...
3-3B {{Mono|[0,3,4]}}}}3-3B trichord on C.mid|Play}} ... {{Nowrap>9-3A}}{{Mono|[0,1,2,3,4,
 5,6,8,9]}}}}		9-3A nonachord on C.mid|Play}} ...
{{Nowrap>3-4A}}{{Mono|[0,1,5]}}}}{{Small|{{Mono|<1,0,0,1,1,0>}}}}93-4A trichord on C.mid|Play}} ... 9-4B {{Mono|[0,1,2,4,5,
 6,7,8,9]}}}}		{{Small|{{Mono|<7,6,6,7,7,3>}}}}9-4B nonachord on C.mid|Play}} ...
3-4B {{Mono|[0,4,5]}}}}3-4B trichord on C.mid|Play}} ... {{Nowrap>9-4A}}{{Mono|[0,1,2,3,4,
 5,7,8,9]}}}}		9-4A nonachord on C.mid|Play}} ...
{{Nowrap>3-5A}}{{Mono|[0,1,6]}}}}{{Small|{{Mono|<1,0,0,0,1,1>}}}}73-5A trichord on C.mid|Play}} Viennese trichord 9-5B {{Mono|[0,1,2,3,5,
 6,7,8,9]}}}}		{{Small|{{Mono|<7,6,6,6,7,4>}}}}9-5B nonachord on C.mid|Play}} ...
3-5B {{Mono|[0,5,6]}}}}3-5B trichord on C.mid|Play}} ... {{Nowrap>9-5A}}{{Mono|[0,1,2,3,4,
 6,7,8,9]}}}}		9-5A nonachord on C.mid|Play}} ...
{{Nowrap>3-6}}{{Mono|[0,2,4]}}}}{{Mono|<0,2,0,1,0,0>}}}} 3 3-6 (major) trichord on C.mid|Play}} ... {{Nowrap>9-6}}{{Mono|[0,1,2,3,4,
 5,6,8,T]}}}}		{{Mono|<6,8,6,7,6,3>}}}}9-6 nonachord on C.mid|Play}} ...
{{Nowrap>3-7A}}{{Mono|[0,2,5]}}}}{{Small|{{Mono|<0,1,1,0,1,0>}}}}103-7A trichord on C.mid|Play}} ... 9-7B {{Mono|[0,1,2,3,4,
 5,7,9,T]}}}}		{{Small|{{Mono|<6,7,7,6,7,3>}}}}9-7B nonachord on C.mid|Play}} ...
3-7B {{Mono|[0,3,5]}}}}3-7B trichord on C.mid|Play}}Blues trichord (min. pentatonic subset)[8] {{Nowrap>9-7A}}{{Mono|[0,1,2,3,4,
 5,7,8,T]}}}}		9-7A nonachord on C.mid|Play}} ...
{{Nowrap>3-8A}}{{Mono|[0,2,6]}}}}{{Small|{{Mono|<0,1,0,1,0,1>}}}}83-8A trichord on C.mid|Play}} It6 9-8B {{Mono|[0,1,2,3,4,
 6,8,9,T]}}}}		{{Small|{{Mono|<6,7,6,7,6,4>}}}}9-8B nonachord on C.mid|Play}} ...
3-8B {{Mono|[0,4,6]}}}}3-8B trichord on C.mid|Play}} ... {{Nowrap>9-8A}}{{Mono|[0,1,2,3,4,
 6,7,8,T]}}}}		9-8A nonachord on C.mid|Play}} ...
{{Nowrap>3-9}}{{Mono|[0,2,7]}}}}{{Mono|<0,1,0,0,2,0>}}}} 5 3-9 (sus) trichord on C.mid|Play}} sus. chord {{Nowrap>9-9}}{{Mono|[0,1,2,3,5,
 6,7,8,T]}}}}		{{Mono|<6,7,6,6,8,3>}}}}9-9 (quartal) nonachord on C.mid|Play}} blues scale
{{Nowrap>3-10}}{{Mono|[0,3,6]}}}}{{Mono|<0,0,2,0,0,1>}}}} 2 3-10 (dim. chord) trichord on C.mid|Play}} dim. chord {{Nowrap>9-10}}{{Mono|[0,1,2,3,4,
 6,7,9,T]}}}}		{{Mono|<6,6,8,6,6,4>}}}}9-10 nonachord on C.mid|Play}} ...
{{Nowrap>3-11A}}{{Mono|[0,3,7]}}}}{{Small|{{Mono|<0,0,1,1,1,0>}}}}63-11A (minor chord) trichord on C.mid|Play}} minor chord 9-11B {{Mono|[0,1,2,3,5,
 6,8,9,T]}}}}		{{Small|{{Mono|<6,6,7,7,7,3>}}}}9-11B nonachord on C.mid|Play}} ...
3-11B {{Mono|[0,4,7]}}}}3-11B (major chord) trichord on C.mid|Play}} major chord {{Nowrap>9-11A}}{{Mono|[0,1,2,3,5,
 6,7,9,T]}}}}		9-11A nonachord on C.mid|Play}} ...
{{Nowrap>3-12}}{{Mono|[0,4,8]}}}}{{Mono|<0,0,0,3,0,0>}}}} 1 3-12 (aug. chord) trichord on C.mid|Play}} Aug. chord {{Nowrap>9-12}}{{Mono|[0,1,2,4,5,
 6,8,9,T]}}}}		{{Mono|<6,6,6,9,6,3>}}}}9-12 nonachord on C.mid|Play}} ...
{{Nowrap>4-1}}{{Mono|[0,1,2,3]}}}}{{Mono|<3,2,1,0,0,0>}}}} 1 4-1 (chromatic) tetrachord on C.mid|Play}} ... {{Nowrap>8-1}}{{Mono|[0,1,2,3,
 4,5,6,7]}}}}		{{Mono|<7,6,5,4,4,2>}}}}8-1 (chromatic) octachord on C.mid|Play}} ...
{{Nowrap>4-2A}}{{Mono|[0,1,2,4]}}}}{{Small|{{Mono|<2,2,1,1,0,0>}}}}174-2A tetrachord on C.mid|Play}} ... 8-2B {{Mono|[0,2,3,4,
 5,6,7,8]}}}}		{{Small|{{Mono|<6,6,5,5,4,2>}}}}8-2B octachord on C.mid|Play}} ...
4-2B {{Mono|[0,2,3,4]}}}}4-2B tetrachord on C.mid|Play}} ... {{Nowrap>8-2A}}{{Mono|[0,1,2,3,
 4,5,6,8]}}}}		8-2A octachord on C.mid|Play}} ...
{{Nowrap>4-3}}{{Mono|[0,1,3,4]}}}}{{Mono|<2,1,2,1,0,0>}}}} 9 4-3 tetrachord on C.mid|Play}} ... {{Nowrap>8-3}}{{Mono|[0,1,2,3,
 4,5,6,9]}}}}		{{Mono|<6,5,6,5,4,2>}}}}8-3 octachord on C.mid|Play}} ...
{{Nowrap>4-4A}}{{Mono|[0,1,2,5]}}}}{{Small|{{Mono|<2,1,1,1,1,0>}}}}204-4A tetrachord on C.mid|Play}} ... 8-4B {{Mono|[0,1,3,4,
 5,6,7,8]}}}}		{{Small|{{Mono|<6,5,5,5,5,2>}}}}8-4B octachord on C.mid|Play}} ...
4-4B {{Mono|[0,3,4,5]}}}}4-4B tetrachord on C.mid|Play}} ... {{Nowrap>8-4A}}{{Mono|[0,1,2,3,
 4,5,7,8]}}}}		8-4A octachord on C.mid|Play}} ...
{{Nowrap>4-5A}}{{Mono|[0,1,2,6]}}}}{{Small|{{Mono|<2,1,0,1,1,1>}}}}224-5A tetrachord on C.mid|Play}} ... 8-5B {{Mono|[0,1,2,4,
 5,6,7,8]}}}}		{{Small|{{Mono|<6,5,4,5,5,3>}}}}8-5B octachord on C.mid|Play}} ...
4-5B {{Mono|[0,4,5,6]}}}}4-5B tetrachord on C.mid|Play}} ... {{Nowrap>8-5A}}{{Mono|[0,1,2,3,
 4,6,7,8]}}}}		8-5A octachord on C.mid|Play}} ...
{{Nowrap>4-6}}{{Mono|[0,1,2,7]}}}}{{Mono|<2,1,0,0,2,1>}}}} 6 4-6 tetrachord on C.mid|Play}} dream chord {{Nowrap>8-6}}{{Mono|[0,1,2,3,
 5,6,7,8]}}}}		{{Mono|<6,5,4,4,6,3>}}}}8-6 octachord on C.mid|Play}} ...
{{Nowrap>4-7}}{{Mono|[0,1,4,5]}}}}{{Mono|<2,0,1,2,1,0>}}}} 8 4-7 tetrachord on C.mid|Play}} ... {{Nowrap>8-7}}{{Mono|[0,1,2,3,
 4,5,8,9]}}}}		{{Mono|<6,4,5,6,5,2>}}}}8-7 octachord on C.mid|Play}} ...
{{Nowrap>4-8}}{{Mono|[0,1,5,6]}}}}{{Mono|<2,0,0,1,2,1>}}}} 10 4-8 tetrachord on C.mid|Play}} ... {{Nowrap>8-8}}{{Mono|[0,1,2,3,
 4,7,8,9]}}}}		{{Mono|<6,4,4,5,6,3>}}}}8-8 octachord on C.mid|Play}} ...
{{Nowrap>4-9}}{{Mono|[0,1,6,7]}}}}{{Mono|<2,0,0,0,2,2>}}}} 2 4-9 tetrachord on C.mid|Play}} distance model {{Nowrap>8-9}}{{Mono|[0,1,2,3,
 6,7,8,9]}}}}		{{Mono|<6,4,4,4,6,4>}}}}8-9 octachord on C.mid|Play}} ...
{{Nowrap>4-10}}{{Mono|[0,2,3,5]}}}}{{Mono|<1,2,2,0,1,0>}}}} 3 4-10 (minor) tetrachord on C.mid|Play}} ... {{Nowrap>8-10}}{{Mono|[0,2,3,4,
 5,6,7,9]}}}}		{{Mono|<5,6,6,4,5,2>}}}}8-10 octachord on C.mid|Play}} ...
{{Nowrap>4-11A}}{{Mono|[0,1,3,5]}}}}{{Small|{{Mono|<1,2,1,1,1,0>}}}}264-11A tetrachord on C.mid|Play}} ... 8-11B {{Mono|[0,2,4,5,
 6,7,8,9]}}}}		{{Small|{{Mono|<5,6,5,5,5,2>}}}}8-11B octachord on C.mid|Play}} ...
4-11B {{Mono|[0,2,4,5]}}}}4-11B (major) tetrachord on C.mid|Play}} ... {{Nowrap>8-11A}}{{Mono|[0,1,2,3,
 4,5,7,9]}}}}		8-11A octachord on C.mid|Play}} ...
{{Nowrap>4-12A}}{{Mono|[0,2,3,6]}}}}{{Small|{{Mono|<1,1,2,1,0,1>}}}}284-12A tetrachord on C.mid|Play}} ... {{Nowrap>8-12A}}{{Mono|[0,1,3,4,
 5,6,7,9]}}}}		{{Small|{{Mono|<5,5,6,5,4,3>}}}}8-12A octachord on C.mid|Play}} ...
4-12B {{Mono|[0,3,4,6]}}}}4-12B tetrachord on C.mid|Play}} ... 8-12B {{Mono|[0,2,3,4,
 5,6,8,9]}}}}		8-12B octachord on C.mid|Play}} ...
{{Nowrap>4-13A}}{{Mono|[0,1,3,6]}}}}{{Small|{{Mono|<1,1,2,0,1,1>}}}}74-13A tetrachord on C.mid|Play}} ... 8-13B {{Mono|[0,2,3,5,
 6,7,8,9]}}}}		{{Small|{{Mono|<5,5,6,4,5,3>}}}}8-13B octachord on C.mid|Play}} ...
4-13B {{Mono|[0,3,5,6]}}}}4-13B tetrachord on C.mid|Play}} ... {{Nowrap>8-13A}}{{Mono|[0,1,2,3,
 4,6,7,9]}}}}		8-13A octachord on C.mid|Play}} ...
{{Nowrap>4-14A}}{{Mono|[0,2,3,7]}}}}{{Small|{{Mono|<1,1,1,1,2,0>}}}}254-14A tetrachord on C.mid|Play}} ... {{Nowrap>8-14A}}{{Mono|[0,1,2,4,
 5,6,7,9]}}}}		{{Small|{{Mono|<5,5,5,5,6,2>}}}}8-14A octachord on C.mid|Play}} ...
4-14B {{Mono|[0,4,5,7]}}}}4-14B tetrachord on C.mid|Play}} ... 8-14B {{Mono|[0,2,3,4,
 5,7,8,9]}}}}		8-14B octachord on C.mid|Play}} ...
{{Nowrap>4-z15A}}{{Mono|[0,1,4,6]}}}}{{Small|{{Mono|<1,1,1,1,1,1>}}}}184-15ZA (all-interval) tetrachord on C.mid|Play}} all-interval tetrachord 8-z15B {{Mono|[0,1,3,5,
 6,7,8,9]}}}}		{{Small|{{Mono|<5,5,5,5,5,3>}}}}8-15ZB octachord on C.mid|Play}} ...
4-z15B {{Mono|[0,2,5,6]}}}}4-15ZB (all-interval) tetrachord on C.mid|Play}} ... {{Nowrap>8-z15A}}{{Mono|[0,1,2,3,
 4,6,8,9]}}}}		8-15ZA octachord on C.mid|Play}} ...
{{Nowrap>4-16A}}{{Mono|[0,1,5,7]}}}}{{Small|{{Mono|<1,1,0,1,2,1>}}}}194-16A tetrachord on C.mid|Play}} ... 8-16B {{Mono|[0,1,2,4,
 6,7,8,9]}}}}		{{Small|{{Mono|<5,5,4,5,6,3>}}}}8-16B octachord on C.mid|Play}} ...
4-16B {{Mono|[0,2,6,7]}}}}4-16B tetrachord on C.mid|Play}} ... {{Nowrap>8-16A}}{{Mono|[0,1,2,3,
 5,7,8,9]}}}}		8-16A octachord on C.mid|Play}} ...
{{Nowrap>4-17}}{{Mono|[0,3,4,7]}}}}{{Mono|<1,0,2,2,1,0>}}}} 13 4-17 tetrachord on C.mid|Play}} alpha chord {{Nowrap>8-17}}{{Mono|[0,1,3,4,
 5,6,8,9]}}}}		{{Mono|<5,4,6,6,5,2>}}}}8-17 octachord on C.mid|Play}} ...
{{Nowrap>4-18A}}{{Mono|[0,1,4,7]}}}}{{Small|{{Mono|<1,0,2,1,1,1>}}}}214-18A tetrachord on C.mid|Play}} dim. M7 chord 8-18B {{Mono|[0,1,3,4,
 6,7,8,9]}}}}		{{Small|{{Mono|<5,4,6,5,5,3>}}}}8-18B octachord on C.mid|Play}} ...
4-18B {{Mono|[0,3,6,7]}}}}4-18B tetrachord on C.mid|Play}} ... {{Nowrap>8-18A}}{{Mono|[0,1,2,3,
 5,6,8,9]}}}}		8-18A octachord on C.mid|Play}} ...
{{Nowrap>4-19A}}{{Mono|[0,1,4,8]}}}}{{Small|{{Mono|<1,0,1,3,1,0>}}}}244-19A tetrachord on C.mid|Play}} mM7 chord 8-19B {{Mono|[0,1,3,4,
 5,7,8,9]}}}}		{{Small|{{Mono|<5,4,5,7,5,2>}}}}8-19B octachord on C.mid|Play}} ...
4-19B {{Mono|[0,3,4,8]}}}}4-19B tetrachord on C.mid|Play}} ... {{Nowrap>8-19A}}{{Mono|[0,1,2,4,
 5,6,8,9]}}}}		8-19A octachord on C.mid|Play}} ...
{{Nowrap>4-20}}{{Mono|[0,1,5,8]}}}}{{Mono|<1,0,1,2,2,0>}}}} 15 4-20 (major seventh chord) tetrachord on C.mid|Play}} M7 chord {{Nowrap>8-20}}{{Mono|[0,1,2,4,
 5,7,8,9]}}}}		{{Mono|<5,4,5,6,6,2>}}}}8-20 octachord on C.mid|Play}} ...
{{Nowrap>4-21}}{{Mono|[0,2,4,6]}}}}{{Mono|<0,3,0,2,0,1>}}}} 11 4-21 (whole-tone) tetrachord on C.mid|Play}} ... {{Nowrap>8-21}}{{Mono|[0,1,2,3,
 4,6,8,T]}}}}		{{Mono|<4,7,4,6,4,3>}}}}8-21 octachord on C.mid|Play}} ...
{{Nowrap>4-22A}}{{Mono|[0,2,4,7]}}}}{{Small|{{Mono|<0,2,1,1,2,0>}}}}274-22A (sus2 chord) tetrachord on C.mid|Play}} mu chord 8-22B {{Mono|[0,1,2,3,
 5,7,9,T]}}}}		{{Small|{{Mono|<4,6,5,5,6,2>}}}}8-22B octachord on C.mid|Play}} ...
4-22B {{Mono|[0,3,5,7]}}}}4-22B (minor sus4 chord) tetrachord on C.mid|Play}} ... {{Nowrap>8-22A}}{{Mono|[0,1,2,3,
 5,6,8,T]}}}}		8-22A octachord on C.mid|Play}} ...
{{Nowrap>4-23}}{{Mono|[0,2,5,7]}}}}{{Mono|<0,2,1,0,3,0>}}}} 4 4-23 (quartal) tetrachord on C.mid|Play}} quartal chord {{Nowrap>8-23}}{{Mono|[0,1,2,3,
 5,7,8,T]}}}}		{{Mono|<4,6,5,4,7,2>}}}}8-23 (quartal) octachord on C.mid|Play}} bebop scale
{{Nowrap>4-24}}{{Mono|[0,2,4,8]}}}}{{Mono|<0,2,0,3,0,1>}}}} 16 4-24 (aug. seventh chord) tetrachord on C.mid|Play}} A7 chord {{Nowrap>8-24}}{{Mono|[0,1,2,4,
 5,6,8,T]}}}}		{{Mono|<4,6,4,7,4,3>}}}}8-24 octachord on C.mid|Play}} ...
{{Nowrap>4-25}}{{Mono|[0,2,6,8]}}}}{{Mono|<0,2,0,2,0,2>}}}} 12 4-25 (French sixth) tetrachord on C.mid|Play}} Fr6 {{Nowrap>8-25}}{{Mono|[0,1,2,4,
 6,7,8,T]}}}}		{{Mono|<4,6,4,6,4,4>}}}}8-25 octachord on C.mid|Play}} ...
{{Nowrap>4-26}}{{Mono|[0,3,5,8]}}}}{{Mono|<0,1,2,1,2,0>}}}} 14 4-26 (minor seventh chord) tetrachord on C.mid|Play}} minor seventh chord {{Nowrap>8-26}}{{Mono|[0,1,3,4,
 5,7,8,T]}}}}{{efn|Forte 8-26: {{Small|{{Mono|[0,1,2,4,5,7,9,T]}}}}}}		{{Mono|<4,5,6,5,6,2>}}}}8-26 octachord on C.mid|Play}} ...
{{Nowrap>4-27A}}{{Mono|[0,2,5,8]}}}}{{Small|{{Mono|<0,1,2,1,1,1>}}}}294-27A (dominant seventh chord) tetrachord on C.mid|Play}} Half-diminished seventh chord 8-27B {{Mono|[0,1,2,4,
 6,7,9,T]}}}}		{{Small|{{Mono|<4,5,6,5,5,3>}}}}8-27B octachord on C.mid|Play}} ...
4-27B {{Mono|[0,3,6,8]}}}}4-27B tetrachord on C.mid|Play}}dominant 7th chord{{Nowrap>8-27A}}{{Mono|[0,1,2,4,
 5,7,8,T]}}}}		8-27A octachord on C.mid|Play}} ...
{{Nowrap>4-28}}{{Mono|[0,3,6,9]}}}}{{Mono|<0,0,4,0,0,2>}}}} 5 4-28 (diminished seventh chord) tetrachord on C.mid|Play}} dim. 7th chord {{Nowrap>8-28}}{{Mono|[0,1,3,4,
 6,7,9,T]}}}}		{{Mono|<4,4,8,4,4,4>}}}}8-28 (octatonic scale) octachord on C.mid|Play}} octatonic scale
{{Nowrap>4-z29A}}{{Mono|[0,1,3,7]}}}}{{Small|{{Mono|<1,1,1,1,1,1>}}}}234-29ZA (all-interval) tetrachord on C.mid|Play}} all-interval tetrachord 8-z29B {{Mono|[0,2,3,4,
 6,7,8,9]}}}}		{{Small|{{Mono|<5,5,5,5,5,3>}}}}8-29ZB octachord on C.mid|Play}} ...
4-z29B {{Mono|[0,4,6,7]}}}}4-29ZB (all-interval) tetrachord on C.mid|Play}} ... {{Nowrap>8-z29A}}{{Mono|[0,1,2,3,
 5,6,7,9]}}}}		8-29ZA octachord on C.mid|Play}} ...
{{Nowrap>5-1}}{{Mono|[0,1,2,3,4]}}}}{{Mono|<4,3,2,1,0,0>}}}}5-1 (chromatic) pentachord on C.mid|Play}} ... {{Nowrap>7-1}}{{Mono|[0,1,2,3,
 4,5,6]}}}}		{{Mono|<6,5,4,3,2,1>}}}} 1 7-1 (chromatic) heptachord on C.mid|Play}} ...
{{Nowrap>5-2A}}{{Mono|[0,1,2,3,5]}}}}{{Small|{{Mono|<3,3,2,1,1,0>}}}}5-2A pentachord on C.mid|Play}} ... 7-2B {{Mono|[0,2,3,4,
 5,6,7]}}}}		{{Small|{{Mono|<5,5,4,3,3,1>}}}}117-2B heptachord on C.mid|Play}} ...
5-2B {{Mono|[0,2,3,4,5]}}}}5-2B pentachord on C.mid|Play}} ... {{Nowrap>7-2A}}{{Mono|[0,1,2,3,
 4,5,7]}}}}		7-2A heptachord on C.mid|Play}} ...
{{Nowrap>5-3A}}{{Mono|[0,1,2,4,5]}}}}{{Small|{{Mono|<3,2,2,2,1,0>}}}}5-3A pentachord on C.mid|Play}} ... 7-3B {{Mono|[0,3,4,5,
 6,7,8]}}}}		{{Small|{{Mono|<5,4,4,4,3,1>}}}}147-3B heptachord on C.mid|Play}} ...
5-3B {{Mono|[0,1,3,4,5]}}}}5-3B pentachord on C.mid|Play}} ... {{Nowrap>7-3A}}{{Mono|[0,1,2,3,
 4,5,8]}}}}		7-3A heptachord on C.mid|Play}} ...
{{Nowrap>5-4A}}{{Mono|[0,1,2,3,6]}}}}{{Small|{{Mono|<3,2,2,1,1,1>}}}}5-4A pentachord on C.mid|Play}} ... 7-4B {{Mono|[0,1,3,4,
 5,6,7]}}}}		{{Small|{{Mono|<5,4,4,3,3,2>}}}}127-4B heptachord on C.mid|Play}} ...
5-4B {{Mono|[0,3,4,5,6]}}}}5-4B pentachord on C.mid|Play}} ... {{Nowrap>7-4A}}{{Mono|[0,1,2,3,
 4,6,7]}}}}		7-4A heptachord on C.mid|Play}} ...
{{Nowrap>5-5A}}{{Mono|[0,1,2,3,7]}}}}{{Small|{{Mono|<3,2,1,1,2,1>}}}}5-5A pentachord on C.mid|Play}} ... 7-5B {{Mono|[0,1,2,4,
 5,6,7]}}}}		{{Small|{{Mono|<5,4,3,3,4,2>}}}}137-5B heptachord on C.mid|Play}} ...
5-5B {{Mono|[0,4,5,6,7]}}}}5-5B pentachord on C.mid|Play}} ... {{Nowrap>7-5A}}{{Mono|[0,1,2,3,
 5,6,7]}}}}		7-5A heptachord on C.mid|Play}} ...
{{Nowrap>5-6A}}{{Mono|[0,1,2,5,6]}}}}{{Small|{{Mono|<3,1,1,2,2,1>}}}}5-6A pentachord on C.mid|Play}} ... 7-6B {{Mono|[0,1,4,5,
 6,7,8]}}}}		{{Small|{{Mono|<5,3,3,4,4,2>}}}}277-6B heptachord on C.mid|Play}} ...
5-6B {{Mono|[0,1,4,5,6]}}}}5-6B pentachord on C.mid|Play}} ... {{Nowrap>7-6A}}{{Mono|[0,1,2,3,
 4,7,8]}}}}		7-6A heptachord on C.mid|Play}} ...
{{Nowrap>5-7A}}{{Mono|[0,1,2,6,7]}}}}{{Small|{{Mono|<3,1,0,1,3,2>}}}}5-7A pentachord on C.mid|Play}} ... 7-7B {{Mono|[0,1,2,5,
 6,7,8]}}}}		{{Small|{{Mono|<5,3,2,3,5,3>}}}}307-7B heptachord on C.mid|Play}} ...
5-7B {{Mono|[0,1,5,6,7]}}}}5-7B pentachord on C.mid|Play}} ... {{Nowrap>7-7A}}{{Mono|[0,1,2,3,
 6,7,8]}}}}		7-7A heptachord on C.mid|Play}} ...
{{Nowrap>5-8}}{{Mono|[0,2,3,4,6]}}}}{{Mono|<2,3,2,2,0,1>}}}}5-8 pentachord on C.mid|Play}} ... {{Nowrap>7-8}}{{Mono|[0,2,3,4,
 5,6,8]}}}}		{{Mono|<4,5,4,4,2,2>}}}} 2 7-8 heptachord on C.mid|Play}} ...
{{Nowrap>5-9A}}{{Mono|[0,1,2,4,6]}}}}{{Small|{{Mono|<2,3,1,2,1,1>}}}}5-9A pentachord on C.mid|Play}} ... 7-9B {{Mono|[0,2,4,5,
 6,7,8]}}}}		{{Small|{{Mono|<4,5,3,4,3,2>}}}}157-9B heptachord on C.mid|Play}} ...
5-9B {{Mono|[0,2,4,5,6]}}}}5-9B pentachord on C.mid|Play}} ... {{Nowrap>7-9A}}{{Mono|[0,1,2,3,
 4,6,8]}}}}		7-9A heptachord on C.mid|Play}} ...
{{Nowrap>5-10A}}{{Mono|[0,1,3,4,6]}}}}{{Small|{{Mono|<2,2,3,1,1,1>}}}}5-10A pentachord on C.mid|Play}} ... 7-10B {{Mono|[0,2,3,4,
 5,6,9]}}}}		{{Small|{{Mono|<4,4,5,3,3,2>}}}}197-10B heptachord on C.mid|Play}} ...
5-10B {{Mono|[0,2,3,5,6]}}}}5-10B pentachord on C.mid|Play}} ... {{Nowrap>7-10A}}{{Mono|[0,1,2,3,
 4,6,9]}}}}		7-10A heptachord on C.mid|Play}} ...
{{Nowrap>5-11A}}{{Mono|[0,2,3,4,7]}}}}{{Small|{{Mono|<2,2,2,2,2,0>}}}}5-11A pentachord on C.mid|Play}} ... 7-11B {{Mono|[0,2,3,4,
 5,7,8]}}}}		{{Small|{{Mono|<4,4,4,4,4,1>}}}}187-11B heptachord on C.mid|Play}} ...
5-11B {{Mono|[0,3,4,5,7]}}}}5-11B pentachord on C.mid|Play}} ... {{Nowrap>7-11A}}{{Mono|[0,1,3,4,
 5,6,8]}}}}		7-11A heptachord on C.mid|Play}} ...
{{Nowrap>5-z12}}{{Mono|[0,1,3,5,6]}}}}{{Mono|<2,2,2,1,2,1>}}}}5-12Z pentachord on C.mid|Play}} ... {{Nowrap>7-z12}}{{Mono|[0,1,2,3,
 4,7,9]}}}}		{{Mono|<4,4,4,3,4,2>}}}} 5 7-12Z heptachord on C.mid|Play}} ...
{{Nowrap>5-13A}}{{Mono|[0,1,2,4,8]}}}}{{Small|{{Mono|<2,2,1,3,1,1>}}}}5-13A pentachord on C.mid|Play}} ... 7-13B {{Mono|[0,2,3,4,
 6,7,8]}}}}		{{Small|{{Mono|<4,4,3,5,3,2>}}}}177-13B heptachord on C.mid|Play}} ...
5-13B {{Mono|[0,2,3,4,8]}}}}5-13B pentachord on C.mid|Play}} ... {{Nowrap>7-13A}}{{Mono|[0,1,2,4,
 5,6,8]}}}}		7-13A heptachord on C.mid|Play}} ...
{{Nowrap>5-14A}}{{Mono|[0,1,2,5,7]}}}}{{Small|{{Mono|<2,2,1,1,3,1>}}}}5-14A pentachord on C.mid|Play}} ... 7-14B {{Mono|[0,1,3,5,
 6,7,8]}}}}		{{Small|{{Mono|<4,4,3,3,5,2>}}}}287-14B heptachord on C.mid|Play}} ...
5-14B {{Mono|[0,2,5,6,7]}}}}5-14B pentachord on C.mid|Play}} ... {{Nowrap>7-14A}}{{Mono|[0,1,2,3,
 5,7,8]}}}}		7-14A heptachord on C.mid|Play}} ...
{{Nowrap>5-15}}{{Mono|[0,1,2,6,8]}}}}{{Mono|<2,2,0,2,2,2>}}}}5-15 pentachord on C.mid|Play}} ... {{Nowrap>7-15}}{{Mono|[0,1,2,4,
 6,7,8]}}}}		{{Mono|<4,4,2,4,4,3>}}}} 4 7-15 heptachord on C.mid|Play}} ...
{{Nowrap>5-16A}}{{Mono|[0,1,3,4,7]}}}}{{Small|{{Mono|<2,1,3,2,1,1>}}}}5-16A pentachord on C.mid|Play}} ... 7-16B {{Mono|[0,1,3,4,
 5,6,9]}}}}		{{Small|{{Mono|<4,3,5,4,3,2>}}}}207-16B heptachord on C.mid|Play}} ...
5-16B {{Mono|[0,3,4,6,7]}}}}5-16B pentachord on C.mid|Play}} ... {{Nowrap>7-16A}}{{Mono|[0,1,2,3,
 5,6,9]}}}}		7-16A heptachord on C.mid|Play}} ...
{{Nowrap>5-z17}}{{Mono|[0,1,3,4,8]}}}}{{Mono|<2,1,2,3,2,0>}}}}5-17Z pentachord on C.mid|Play}} Farben chord {{Nowrap>7-z17}}{{Mono|[0,1,2,4,
 5,6,9]}}}}		{{Mono|<4,3,4,5,4,1>}}}} 10 7-17Z heptachord on C.mid|Play}} ...
{{Nowrap>5-z18A}}{{Mono|[0,1,4,5,7]}}}}{{Small|{{Mono|<2,1,2,2,2,1>}}}}5-18ZA pentachord on C.mid|Play}} ... {{Nowrap>7-z18A}}{{Mono|[0,1,4,5,
 6,7,9]}}}}{{efn|Forte 7-z18A: {{Small|{{Mono|[0,1,2,3,5,8,9]}}}}}}		{{Small|{{Mono|<4,3,4,4,4,2>}}}}357-18ZA heptachord on C.mid|Play}} ...
5-z18B {{Mono|[0,2,3,6,7]}}}}5-18ZB pentachord on C.mid|Play}} ... 7-z18B {{Mono|[0,1,4,6,
 7,8,9]}}}}		7-18ZB heptachord on C.mid|Play}} ...
{{Nowrap>5-19A}}{{Mono|[0,1,3,6,7]}}}}{{Small|{{Mono|<2,1,2,1,2,2>}}}}5-19A pentachord on C.mid|Play}} ... 7-19B {{Mono|[0,1,2,3,
 6,8,9]}}}}		{{Small|{{Mono|<4,3,4,3,4,3>}}}}317-19B heptachord on C.mid|Play}} ...
5-19B {{Mono|[0,1,4,6,7]}}}}5-19B pentachord on C.mid|Play}} ... {{Nowrap>7-19A}}{{Mono|[0,1,2,3,
 6,7,9]}}}}		7-19A heptachord on C.mid|Play}} ...
{{Nowrap>5-20A}}{{Mono|[0,1,5,6,8]}}}}{{efn|Forte 5-20A: {{Small|{{Mono|[0,1,3,7,8]}}}}}}{{Small|{{Mono|<2,1,1,2,3,1>}}}}5-20A pentachord on C.mid|Play}} ... 7-20B {{Mono|[0,1,2,5,
 7,8,9]}}}}		{{Small|{{Mono|<4,3,3,4,5,2>}}}}347-20B heptachord on C.mid|Play}} ...
5-20B {{Mono|[0,2,3,7,8]}}}}5-20B pentachord on C.mid|Play}} In scale {{Nowrap>7-20A}}{{Mono|[0,1,2,5,
 6,7,9]}}}}{{efn|Forte 7-20A: {{Small|{{Mono|[0,1,2,4,7,8,9]}}}}}}		7-20A heptachord on C.mid|Play}} Persian scale
{{Nowrap>5-21A}}{{Mono|[0,1,4,5,8]}}}}{{Small|{{Mono|<2,0,2,4,2,0>}}}}5-21A pentachord on C.mid|Play}} ... 7-21B {{Mono|[0,1,3,4,
 5,8,9]}}}}		{{Small|{{Mono|<4,2,4,6,4,1>}}}}217-21B heptachord on C.mid|Play}} ...
5-21B {{Mono|[0,3,4,7,8]}}}}5-21B pentachord on C.mid|Play}} ... {{Nowrap>7-21A}}{{Mono|[0,1,2,4,
 5,8,9]}}}}		7-21A heptachord on C.mid|Play}} ...
{{Nowrap>5-22}}{{Mono|[0,1,4,7,8]}}}}{{Mono|<2,0,2,3,2,1>}}}}5-22 pentachord on C.mid|Play}} ... {{Nowrap>7-22}}{{Mono|[0,1,2,5,
 6,8,9]}}}}		{{Mono|<4,2,4,5,4,2>}}}} 8 7-22 heptachord on C.mid|Play}} double harmonic scale
{{Nowrap>5-23A}}{{Mono|[0,2,3,5,7]}}}}{{Small|{{Mono|<1,3,2,1,3,0>}}}}5-23A (minor) pentachord on C.mid|Play}} ... 7-23B {{Mono|[0,2,4,5,
 6,7,9]}}}}		{{Small|{{Mono|<3,5,4,3,5,1>}}}}257-23B heptachord on C.mid|Play}} ...
5-23B {{Mono|[0,2,4,5,7]}}}}5-23B (major) pentachord on C.mid|Play}} ... {{Nowrap>7-23A}}{{Mono|[0,2,3,4,
 5,7,9]}}}}		7-23A heptachord on C.mid|Play}} ...
{{Nowrap>5-24A}}{{Mono|[0,1,3,5,7]}}}}{{Small|{{Mono|<1,3,1,2,2,1>}}}}5-24A pentachord on C.mid|Play}} ... 7-24B {{Mono|[0,2,4,6,
 7,8,9]}}}}		{{Small|{{Mono|<3,5,3,4,4,2>}}}}227-24B heptachord on C.mid|Play}}enigmatic scale
5-24B {{Mono|[0,2,4,6,7]}}}}5-24B pentachord on C.mid|Play}} ... {{Nowrap>7-24A}}{{Mono|[0,1,2,3,
 5,7,9]}}}}		7-24A heptachord on C.mid|Play}} ...
{{Nowrap>5-25A}}{{Mono|[0,2,3,5,8]}}}}{{Small|{{Mono|<1,2,3,1,2,1>}}}}5-25A pentachord on C.mid|Play}} Seven six chord 7-25B {{Mono|[0,2,3,5,
 6,7,9]}}}}		{{Small|{{Mono|<3,4,5,3,4,2>}}}}247-25B heptachord on C.mid|Play}} ...
5-25B {{Mono|[0,3,5,6,8]}}}}5-25B pentachord on C.mid|Play}} ... {{Nowrap>7-25A}}{{Mono|[0,2,3,4,
 6,7,9]}}}}		7-25A heptachord on C.mid|Play}} ...
{{Nowrap>5-26A}}{{Mono|[0,2,4,5,8]}}}}{{Small|{{Mono|<1,2,2,3,1,1>}}}}5-26A pentachord on C.mid|Play}} ... {{Nowrap>7-26A}}{{Mono|[0,1,3,4,
 5,7,9]}}}}		{{Small|{{Mono|<3,4,4,5,3,2>}}}}267-26A heptachord on C.mid|Play}} ...
5-26B {{Mono|[0,3,4,6,8]}}}}5-26B pentachord on C.mid|Play}} ... 7-26B {{Mono|[0,2,4,5,
 6,8,9]}}}}		7-26B heptachord on C.mid|Play}} ...
{{Nowrap>5-27A}}{{Mono|[0,1,3,5,8]}}}}{{Small|{{Mono|<1,2,2,2,3,0>}}}}5-27A pentachord on C.mid|Play}} ... 7-27B {{Mono|[0,2,4,5,
 7,8,9]}}}}		{{Small|{{Mono|<3,4,4,4,5,1>}}}}237-27B heptachord on C.mid|Play}} ...
5-27B {{Mono|[0,3,5,7,8]}}}}5-27B pentachord on C.mid|Play}} ... {{Nowrap>7-27A}}{{Mono|[0,1,2,4,
 5,7,9]}}}}		7-27A heptachord on C.mid|Play}} ...
{{Nowrap>5-28A}}{{Mono|[0,2,3,6,8]}}}}{{Small|{{Mono|<1,2,2,2,1,2>}}}}5-28A pentachord on C.mid|Play}} ... {{Nowrap>7-28A}}{{Mono|[0,1,3,5,
 6,7,9]}}}}		{{Small|{{Mono|<3,4,4,4,3,3>}}}}367-28A heptachord on C.mid|Play}} ...
5-28B {{Mono|[0,2,5,6,8]}}}}5-28B pentachord on C.mid|Play}} ... 7-28B {{Mono|[0,2,3,4,
 6,8,9]}}}}		7-28B heptachord on C.mid|Play}} ...
{{Nowrap>5-29A}}{{Mono|[0,1,3,6,8]}}}}{{Small|{{Mono|<1,2,2,1,3,1>}}}}5-29A pentachord on C.mid|Play}} ... 7-29B {{Mono|[0,2,3,5,
 7,8,9]}}}}		{{Small|{{Mono|<3,4,4,3,5,2>}}}}327-29B heptachord on C.mid|Play}} ...
5-29B {{Mono|[0,2,5,7,8]}}}}5-29B pentachord on C.mid|Play}} ... {{Nowrap>7-29A}}{{Mono|[0,1,2,4,
 6,7,9]}}}}		7-29A heptachord on C.mid|Play}} ...
{{Nowrap>5-30A}}{{Mono|[0,1,4,6,8]}}}}{{Small|{{Mono|<1,2,1,3,2,1>}}}}5-30A pentachord on C.mid|Play}} ... 7-30B {{Mono|[0,1,3,5,
 7,8,9]}}}}		{{Small|{{Mono|<3,4,3,5,4,2>}}}}377-30B heptachord on C.mid|Play}} ...
5-30B {{Mono|[0,2,4,7,8]}}}}5-30B pentachord on C.mid|Play}} ... {{Nowrap>7-30A}}{{Mono|[0,1,2,4,
 6,8,9]}}}}		7-30A heptachord on C.mid|Play}} minor Neapolitan scale
{{Nowrap>5-31A}}{{Mono|[0,1,3,6,9]}}}}{{Small|{{Mono|<1,1,4,1,1,2>}}}}5-31A pentachord on C.mid|Play}} beta chord 7-31B {{Mono|[0,1,3,4,
 6,8,9]}}}}		{{Small|{{Mono|<3,3,6,3,3,3>}}}}387-31B heptachord on C.mid|Play}} harmonic minor scale
5-31B {{Mono|[0,2,3,6,9]}}}}5-31B pentachord on C.mid|Play}} Dominant minor ninth chord {{Nowrap>7-31A}}{{Mono|[0,2,3,5,
 6,8,9]}}}}		7-31A heptachord on C.mid|Play}} ...
{{Nowrap>5-32A}}{{Mono|[0,1,4,6,9]}}}}{{Small|{{Mono|<1,1,3,2,2,1>}}}}5-32A pentachord on C.mid|Play}} ... 7-32B {{Mono|[0,1,3,5,
 6,8,9]}}}}		{{Small|{{Mono|<3,3,5,4,4,2>}}}}337-32B heptachord on C.mid|Play}} harmonic major scale
5-32B {{Mono|[0,3,5,8,9]}}}}5-32B pentachord on C.mid|Play}} Elektra chord, gamma chord {{Nowrap>7-32A}}{{Mono|[0,1,3,4,
 6,7,9]}}}}		7-32A heptachord on C.mid|Play}} ...
{{Nowrap>5-33}}{{Mono|[0,2,4,6,8]}}}}{{Mono|<0,4,0,4,0,2>}}}}5-33 pentachord on C.mid|Play}} ... {{Nowrap>7-33}}{{Mono|[0,1,2,4,
 6,8,T]}}}}		{{Mono|<2,6,2,6,2,3>}}}} 6 7-33 heptachord on C.mid|Play}} M Locrian scale
{{Nowrap>5-34}}{{Mono|[0,2,4,6,9]}}}}{{Mono|<0,3,2,2,2,1>}}}}5-34 pentachord on C.mid|Play}} Dominant ninth chord {{Nowrap>7-34}}{{Mono|[0,1,3,4,
 6,8,T]}}}}		{{Mono|<2,5,4,4,4,2>}}}} 9 7-34 heptachord on C.mid|Play}} half dim. scale
{{Nowrap>5-35}}{{Mono|[0,2,4,7,9]}}}}{{Mono|<0,3,2,1,4,0>}}}}5-35 (pentatonic) pentachord on C.mid|Play}} M pentatonic scale {{Nowrap>7-35}}{{Mono|[0,1,3,5,
 6,8,T]}}}}		{{Mono|<2,5,4,3,6,1>}}}} 7 7-35 (diatonic) heptachord on C.mid|Play}} diatonic scale
{{Nowrap>5-z36A}}{{Mono|[0,1,2,4,7]}}}}{{Small|{{Mono|<2,2,2,1,2,1>}}}}5-36ZA pentachord on C.mid|Play}} ... 7-z36B {{Mono|[0,2,3,5,
 6,7,8]}}}}		{{Small|{{Mono|<4,4,4,3,4,2>}}}}167-36ZB heptachord on C.mid|Play}} ...
5-z36B {{Mono|[0,3,5,6,7]}}}}5-36ZB pentachord on C.mid|Play}} ... {{Nowrap>7-z36A}}{{Mono|[0,1,2,3,
 5,6,8]}}}}		7-36ZA heptachord on C.mid|Play}} ...
{{Nowrap>5-z37}}{{Mono|[0,3,4,5,8]}}}}{{Mono|<2,1,2,3,2,0>}}}}5-37Z pentachord on C.mid|Play}} ... {{Nowrap>7-z37}}{{Mono|[0,1,3,4,
 5,7,8]}}}}		{{Mono|<4,3,4,5,4,1>}}}} 3 7-37Z heptachord on C.mid|Play}} ...
{{Nowrap>5-z38A}}{{Mono|[0,1,2,5,8]}}}}{{Small|{{Mono|<2,1,2,2,2,1>}}}}5-38ZA pentachord on C.mid|Play}} ... 7-z38B {{Mono|[0,1,3,4,
 6,7,8]}}}}		{{Small|{{Mono|<4,3,4,4,4,2>}}}}297-38ZB heptachord on C.mid|Play}} ...
5-z38B {{Mono|[0,3,6,7,8]}}}}5-38ZB pentachord on C.mid|Play}} ... {{Nowrap>7-z38A}}{{Mono|[0,1,2,4,
 5,7,8]}}}}		7-38ZA heptachord on C.mid|Play}} ...
{{Nowrap>6-1}}{{Mono|[0,1,2,3,4,5]}}}}{{Mono|<5,4,3,2,1,0>}}}} 4 Chromatic hexachord on C.mid|Play}} chromatic hexachord
{{Nowrap>6-2A}}{{Mono|[0,1,2,3,4,6]}}}}{{Small|{{Mono|<4,4,3,2,1,1>}}}}196-2A hexachord on C.mid|Play}} ...
6-2B {{Mono|[0,2,3,4,5,6]}}}}6-2B hexachord on C.mid|Play}} ...
{{Nowrap>6-z3A}}{{Mono|[0,1,2,3,5,6]}}}}{{Small|{{Mono|<4,3,3,2,2,1>}}}}496-3ZA hexachord on C.mid|Play}} ... 6-z36B {{Mono|[0,3,4,5,6,7]}}}}{{Small|{{Mono|<4,3,3,2,2,1>}}}}506-36ZB hexachord on C.mid|Play}} ...
6-z3B {{Mono|[0,1,3,4,5,6]}}}}6-3ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z36A}}{{Mono|[0,1,2,3,4,7]}}}}6-36ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-z4}}{{Mono|[0,1,2,4,5,6]}}}}{{Mono|<4,3,2,3,2,1>}}}} 24 6-4Z hexachord on C.mid|Play}} ... {{Nowrap>6-z37}}{{Mono|[0,1,2,3,4,8]}}}}{{Mono|<4,3,2,3,2,1>}}}} 23 6-37Z hexachord on C.mid|Play}} ...
{{Nowrap>6-5A}}{{Mono|[0,1,2,3,6,7]}}}}{{Small|{{Mono|<4,2,2,2,3,2>}}}}166-5A hexachord on C.mid|Play}} ...
6-5B {{Mono|[0,1,4,5,6,7]}}}}6-5B hexachord on C.mid|Play}} ...
{{Nowrap>6-z6}}{{Mono|[0,1,2,5,6,7]}}}}{{Mono|<4,2,1,2,4,2>}}}} 33 6-6Z hexachord on C.mid|Play}} ... {{Nowrap>6-z38}}{{Mono|[0,1,2,3,7,8]}}}}{{Mono|<4,2,1,2,4,2>}}}} 34 6-38Z hexachord on C.mid|Play}} ...
{{Nowrap>6-7}}{{Mono|[0,1,2,6,7,8]}}}}{{Mono|<4,2,0,2,4,3>}}}} 7 6-7 hexachord on C.mid|Play}} ...
{{Nowrap>6-8}}{{Mono|[0,2,3,4,5,7]}}}}{{Mono|<3,4,3,2,3,0>}}}} 5 6-8 hexachord on C.mid|Play}} ...
{{Nowrap>6-9A}}{{Mono|[0,1,2,3,5,7]}}}}{{Small|{{Mono|<3,4,2,2,3,1>}}}}206-9A hexachord on C.mid|Play}} ...
6-9B {{Mono|[0,2,4,5,6,7]}}}}6-9B hexachord on C.mid|Play}} ...
{{Nowrap>6-z10A}}{{Mono|[0,1,3,4,5,7]}}}}{{Small|{{Mono|<3,3,3,3,2,1>}}}}426-10ZA hexachord on C.mid|Play}} ... 6-z39B {{Mono|[0,3,4,5,6,8]}}}}{{Small|{{Mono|<3,3,3,3,2,1>}}}}416-39ZB hexachord on C.mid|Play}} ...
6-z10B {{Mono|[0,2,3,4,6,7]}}}}6-10ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z39A}}{{Mono|[0,2,3,4,5,8]}}}}6-39ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-z11A}}{{Mono|[0,1,2,4,5,7]}}}}{{Small|{{Mono|<3,3,3,2,3,1>}}}}476-11ZA hexachord on C.mid|Play}} ... 6-z40B {{Mono|[0,3,5,6,7,8]}}}}{{Small|{{Mono|<3,3,3,2,3,1>}}}}486-40ZB hexachord on C.mid|Play}} ...
6-z11B {{Mono|[0,2,3,5,6,7]}}}}6-11ZB hexachord on C.mid|Play}}Sacher hexachord{{Nowrap>6-z40A}}{{Mono|[0,1,2,3,5,8]}}}}6-40ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-z12A}}{{Mono|[0,1,2,4,6,7]}}}}{{Small|{{Mono|<3,3,2,2,3,2>}}}}466-12ZA hexachord on C.mid|Play}} ... 6-z41B {{Mono|[0,2,5,6,7,8]}}}}{{Small|{{Mono|<3,3,2,2,3,2>}}}}456-41ZB hexachord on C.mid|Play}} ...
6-z12B {{Mono|[0,1,3,5,6,7]}}}}6-12ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z41A}}{{Mono|[0,1,2,3,6,8]}}}}6-41ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-z13}}{{Mono|[0,1,3,4,6,7]}}}}{{Mono|<3,2,4,2,2,2>}}}} 29 6-13Z hexachord on C.mid|Play}} ... {{Nowrap>6-z42}}{{Mono|[0,1,2,3,6,9]}}}}{{Mono|<3,2,4,2,2,2>}}}} 30 6-42Z hexachord on C.mid|Play}} ...
{{Nowrap>6-14A}}{{Mono|[0,1,3,4,5,8]}}}}{{Small|{{Mono|<3,2,3,4,3,0>}}}}36-14A hexachord on C.mid|Play}} ...
6-14B {{Mono|[0,3,4,5,7,8]}}}}6-14B hexachord on C.mid|Play}} ...
{{Nowrap>6-15A}}{{Mono|[0,1,2,4,5,8]}}}}{{Small|{{Mono|<3,2,3,4,2,1>}}}}136-15A hexachord on C.mid|Play}} ...
6-15B {{Mono|[0,3,4,6,7,8]}}}}6-15B hexachord on C.mid|Play}} ...
{{Nowrap>6-16A}}{{Mono|[0,1,4,5,6,8]}}}}{{Small|{{Mono|<3,2,2,4,3,1>}}}}116-16A hexachord on C.mid|Play}} ...
6-16B {{Mono|[0,2,3,4,7,8]}}}}6-16B hexachord on C.mid|Play}} ...
{{Nowrap>6-z17A}}{{Mono|[0,1,2,4,7,8]}}}}{{Small|{{Mono|<3,2,2,3,3,2>}}}}356-17ZA hexachord on C.mid|Play}} all-trichord hexachord 6-z43B {{Mono|[0,2,3,6,7,8]}}}}{{Small|{{Mono|<3,2,2,3,3,2>}}}}366-43ZB hexachord on C.mid|Play}} ...
6-z17B {{Mono|[0,1,4,6,7,8]}}}}6-17ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z43A}}{{Mono|[0,1,2,5,6,8]}}}}6-43ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-18A}}{{Mono|[0,1,2,5,7,8]}}}}{{Small|{{Mono|<3,2,2,2,4,2>}}}}176-18A hexachord on C.mid|Play}} ...
6-18B {{Mono|[0,1,3,6,7,8]}}}}6-18B hexachord on C.mid|Play}} ...
{{Nowrap>6-z19A}}{{Mono|[0,1,3,4,7,8]}}}}{{Small|{{Mono|<3,1,3,4,3,1>}}}}376-19ZA hexachord on C.mid|Play}} ... 6-z44B {{Mono|[0,3,4,7,8,9]}}}}{{Small|{{Mono|<3,1,3,4,3,1>}}}}386-44ZB hexachord on C.mid|Play}} ...
6-z19B {{Mono|[0,1,4,5,7,8]}}}}6-19ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z44A}}{{Mono|[0,1,2,5,6,9]}}}}6-44ZA (Schoenberg) hexachord on C.mid|Play}} Schoenberg hexachord
{{Nowrap>6-20}}{{Mono|[0,1,4,5,8,9]}}}}{{Mono|<3,0,3,6,3,0>}}}} 2 6-20 hexachord on C.mid|Play}} "Ode-to-Napoleon" hexachord
{{Nowrap>6-21A}}{{Mono|[0,2,3,4,6,8]}}}}{{Small|{{Mono|<2,4,2,4,1,2>}}}}126-21A hexachord on C.mid|Play}} ...
6-21B {{Mono|[0,2,4,5,6,8]}}}}6-21B hexachord on C.mid|Play}} ...
{{Nowrap>6-22A}}{{Mono|[0,1,2,4,6,8]}}}}{{Small|{{Mono|<2,4,1,4,2,2>}}}}106-22A hexachord on C.mid|Play}} ...
6-22B {{Mono|[0,2,4,6,7,8]}}}}6-22B hexachord on C.mid|Play}} ...
{{Nowrap>6-z23}}{{Mono|[0,2,3,5,6,8]}}}}{{Mono|<2,3,4,2,2,2>}}}} 27 6-23Z hexachord on C.mid|Play}} ... {{Nowrap>6-z45}}{{Mono|[0,2,3,4,6,9]}}}}{{Mono|<2,3,4,2,2,2>}}}} 28 6-45Z hexachord on C.mid|Play}} ...
{{Nowrap>6-z24A}}{{Mono|[0,1,3,4,6,8]}}}}{{Small|{{Mono|<2,3,3,3,3,1>}}}}396-24ZA hexachord on C.mid|Play}} ... 6-z46B {{Mono|[0,3,5,7,8,9]}}}}{{Small|{{Mono|<2,3,3,3,3,1>}}}}406-46ZB hexachord on C.mid|Play}} ...
6-z24B {{Mono|[0,2,4,5,7,8]}}}}6-24ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z46A}}{{Mono|[0,1,2,4,6,9]}}}}6-46ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-z25A}}{{Mono|[0,1,3,5,6,8]}}}}{{Small|{{Mono|<2,3,3,2,4,1>}}}}436-25ZA hexachord on C.mid|Play}} Major eleventh chord 6-z47B {{Mono|[0,2,5,7,8,9]}}}}{{Small|{{Mono|<2,3,3,2,4,1>}}}}446-47ZB hexachord on C.mid|Play}} blues scale
6-z25B {{Mono|[0,2,3,5,7,8]}}}}6-25ZB hexachord on C.mid|Play}} ... {{Nowrap>6-z47A}}{{Mono|[0,1,2,4,7,9]}}}}6-47ZA hexachord on C.mid|Play}} ...
{{Nowrap>6-z26}}{{Mono|[0,1,3,5,7,8]}}}}{{Mono|<2,3,2,3,4,1>}}}} 26 6-26Z hexachord on C.mid|Play}} ... {{Nowrap>6-z48}}{{Mono|[0,1,2,5,7,9]}}}}{{Mono|<2,3,2,3,4,1>}}}} 25 6-48Z hexachord on C.mid|Play}} ...
{{Nowrap>6-27A}}{{Mono|[0,1,3,4,6,9]}}}}{{Small|{{Mono|<2,2,5,2,2,2>}}}}146-27A hexachord on C.mid|Play}} ...
6-27B {{Mono|[0,3,5,6,8,9]}}}}6-27B hexachord on C.mid|Play}} ...
{{Nowrap>6-z28}}{{Mono|[0,1,3,5,6,9]}}}}{{Mono|<2,2,4,3,2,2>}}}} 21 6-28Z hexachord on C.mid|Play}} ... {{Nowrap>6-z49}}{{Mono|[0,1,3,4,7,9]}}}}{{Mono|<2,2,4,3,2,2>}}}} 22 6-49Z hexachord on C.mid|Play}} ...
{{Nowrap>6-z29}}{{Mono|[0,2,3,6,7,9]}}}}{{efn|Forte 6-z29: {{Small|{{Mono|[0,1,3,6,8,9]}}}}}}{{Mono|<2,2,4,2,3,2>}}}} 32 6-29Z hexachord on C.mid|Play}} Bridge chord {{Nowrap>6-z50}}{{Mono|[0,1,4,6,7,9]}}}}{{Mono|<2,2,4,2,3,2>}}}} 31 6-50Z hexachord on C.mid|Play}} ...
{{Nowrap>6-30A}}{{Mono|[0,1,3,6,7,9]}}}}{{Small|{{Mono|<2,2,4,2,2,3>}}}}156-30A hexachord on C.mid|Play}} ...
6-30B {{Mono|[0,2,3,6,8,9]}}}}6-30B hexachord on C.mid|Play}}Petrushka chord
{{Nowrap>6-31A}}{{Mono|[0,1,4,5,7,9]}}}}{{efn|Forte 6-31A: {{Small|{{Mono|[0,1,3,5,8,9]}}}}}}{{Small|{{Mono|<2,2,3,4,3,1>}}}}86-31A hexachord on C.mid|Play}} ...
6-31B {{Mono|[0,2,4,5,8,9]}}}}{{efn|Forte 6-31B: {{Small|{{Mono|[0,1,4,6,8,9]}}}}}}6-31B hexachord on C.mid|Play}} ...
{{Nowrap>6-32}}{{Mono|[0,2,4,5,7,9]}}}}{{Mono|<1,4,3,2,5,0>}}}} 6 Diatonic hexachord on C.mid|Play}} diatonic hexachord
{{Nowrap>6-33A}}{{Mono|[0,2,3,5,7,9]}}}}{{Small|{{Mono|<1,4,3,2,4,1>}}}}186-33A hexachord on C.mid|Play}} ...
6-33B {{Mono|[0,2,4,6,7,9]}}}}6-33B hexachord on C.mid|Play}} Dominant eleventh chord
{{Nowrap>6-34A}}{{Mono|[0,1,3,5,7,9]}}}}{{Small|{{Mono|<1,4,2,4,2,2>}}}}96-34A hexachord on C.mid|Play}} mystic chord
6-34B {{Mono|[0,2,4,6,8,9]}}}}6-34B hexachord on C.mid|Play}} ...
{{Nowrap>6-35}}{{Mono|[0,2,4,6,8,T]}}}}{{Mono|<0,6,0,6,0,3>}}}} 1 6-35 (whole-tone) hexachord on C.mid|Play}} whole tone scale

See also

  • Interval vector
  • List of chords
  • Z-relation

Notes

{{notelist}}

References

1. ^Forte, Allen (1973). The Structure of Atonal Music. Yale University Press. {{ISBN|0-300-02120-8}}.
2. ^Nelson, Paul (2004). "Two Algorithms for Computing the Prime Form", ComposerTools.com.
3. ^Rahn, John (1980). Basic Atonal Theory. New York: Longman. {{ISBN|978-0028731605}}.
4. ^Straus, Joseph N. (1990). Introduction to Post-Tonal Theory. Prentice-Hall. {{ISBN|9780131898905}}.
5. ^Schiff, David (1983/1998). The Music of Elliott Carter.
6. ^Carter, Elliott (2002). The Harmony Book, "Appendix 1". {{ISBN|9780825845949}}.
7. ^Schuijer, Michael (2008). Analyzing Atonal Music: Pitch-Class Set Theory and Its Contexts, p.97. University of Rochester. {{ISBN|978-1-58046-270-9}}.
8. ^Everett, Walter (2008). The Foundations of Rock, p.169. Oxford. {{ISBN|9780199718702}}.

External links

  • Solomon, Larry (2005). "The Table of Pitch Class Sets", SolomonsMusic.net.
  • Tucker, Gary (2001). "Table of pc set classes", A Brief Introduction to Pitch-Class Set Analysis.
  • Nelson, Paul (2004). "Table of Prime Forms", ComposerTools.com.
{{Music theory lists}}{{Set theory (music)}}

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