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User:Jonathanischoice/sandbox/set class table

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This is an old revision of this page, as edited by Jonathanischoice (talk | contribs) at 23:02, 22 August 2024 (←Created page with 'Work-in-progress re-working of the table in List of set classes to be one long table with visible anchors, instead of side-by-side complements. {| class="wikitable" |- ! Forte no. !! Prime form !! Interval vector !! Carter no. !! Audio !! Possible spacings |- | '''{{Nowrap|0-1}}''' || {{Small|{{Mono|[]}}}} || {{Small|{{Mono|<0,0,0,0,0,0>}}}} || || || empty set |- style="background:#F5F5F5;" | '''{{Nowrap|1-1}}''' || {{Small|{{Mono|[0]}}}} || {{Sm...'). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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Work-in-progress re-working of the table in List of set classes to be one long table with visible anchors, instead of side-by-side complements.

Forte no. Prime form Interval vector Carter no. Audio Possible spacings
0-1 [] <0,0,0,0,0,0> empty set
1-1 [0] <0,0,0,0,0,0> Playⓘ PU, P8
2-1 [0,1] <1,0,0,0,0,0> 1 Playⓘ m2, M7
2-2 [0,2] <0,1,0,0,0,0> 2 Playⓘ M2, m7
2-3 [0,3] <0,0,1,0,0,0> 3 Playⓘ m3, M6
2-4 [0,4] <0,0,0,1,0,0> 4 Playⓘ M3, m6
2-5 [0,5] <0,0,0,0,1,0> 5 Playⓘ P4, P5
2-6 [0,6] <0,0,0,0,0,1> 6 Playⓘ A4, d5
3-1 [0,1,2] <2,1,0,0,0,0> 4 Playⓘ ...
3-2A [0,1,3] <1,1,1,0,0,0> 12 Playⓘ ...
3-2B [0,2,3] Playⓘ ...
3-3A [0,1,4] <1,0,1,1,0,0> 11 Playⓘ ...
3-3B [0,3,4] Playⓘ ...
3-4A [0,1,5] <1,0,0,1,1,0> 9 Playⓘ ... 9-4B [0,1,2,4,5,
 6,7,8,9]		 <7,6,6,7,7,3> Playⓘ ...
3-4B [0,4,5] Playⓘ ... 9-4A [0,1,2,3,4,
 5,7,8,9]		 Playⓘ ...
3-5A [0,1,6] <1,0,0,0,1,1> 7 Playⓘ Viennese trichord 9-5B [0,1,2,3,5,
 6,7,8,9]		 <7,6,6,6,7,4> Playⓘ ...
3-5B [0,5,6] Playⓘ ... 9-5A [0,1,2,3,4,
 6,7,8,9]		 Playⓘ ...
3-6 [0,2,4] <0,2,0,1,0,0> 3 Playⓘ ... 9-6 [0,1,2,3,4,
 5,6,8,T]		 <6,8,6,7,6,3> Playⓘ ...
3-7A [0,2,5] <0,1,1,0,1,0> 10 Playⓘ ... 9-7B [0,1,3,4,5,
 6,7,8,T] [a]		 <6,7,7,6,7,3> Playⓘ ...
3-7B [0,3,5] Playⓘ Blues trichord (min. pentatonic subset)[1] 9-7A [0,1,2,3,4,
 5,7,8,T]		 Playⓘ ...
3-8A [0,2,6] <0,1,0,1,0,1> 8 Playⓘ It6 9-8B [0,1,2,4,5,
 6,7,8,T] [b]		 <6,7,6,7,6,4> Playⓘ ...
3-8B [0,4,6] Playⓘ ... 9-8A [0,1,2,3,4,
 6,7,8,T]		 Playⓘ ...
3-9 [0,2,7] <0,1,0,0,2,0> 5 Playⓘ sus. chord 9-9 [0,1,2,3,5,
 6,7,8,T]		 <6,7,6,6,8,3> Playⓘ blues scale
3-10 [0,3,6] <0,0,2,0,0,1> 2 Playⓘ dim. chord 9-10 [0,1,2,3,4,
 6,7,9,T]		 <6,6,8,6,6,4> Playⓘ ...
3-11A [0,3,7] <0,0,1,1,1,0> 6 Playⓘ minor chord 9-11B [0,1,2,4,5,
 6,7,9,T] [c]		 <6,6,7,7,7,3> Playⓘ ...
3-11B [0,4,7] Playⓘ major chord 9-11A [0,1,2,3,5,
 6,7,9,T]		 Playⓘ ...
3-12 [0,4,8] <0,0,0,3,0,0> 1 Playⓘ Aug. chord 9-12 [0,1,2,4,5,
 6,8,9,T]		 <6,6,6,9,6,3> Playⓘ ...
4-1 [0,1,2,3] <3,2,1,0,0,0> 1 Playⓘ ... 8-1 [0,1,2,3,
 4,5,6,7]		 <7,6,5,4,4,2> Playⓘ ...
4-2A [0,1,2,4] <2,2,1,1,0,0> 17 Playⓘ ... 8-2B [0,2,3,4,
 5,6,7,8]		 <6,6,5,5,4,2> Playⓘ ...
4-2B [0,2,3,4] Playⓘ ... 8-2A [0,1,2,3,
 4,5,6,8]		 Playⓘ ...
4-3 [0,1,3,4] <2,1,2,1,0,0> 9 Playⓘ DSCH motif 8-3 [0,1,2,3,
 4,5,6,9]		 <6,5,6,5,4,2> Playⓘ ...
4-4A [0,1,2,5] <2,1,1,1,1,0> 20 Playⓘ ... 8-4B [0,1,3,4,
 5,6,7,8]		 <6,5,5,5,5,2> Playⓘ ...
4-4B [0,3,4,5] Playⓘ ... 8-4A [0,1,2,3,
 4,5,7,8]		 Playⓘ ...
4-5A [0,1,2,6] <2,1,0,1,1,1> 22 Playⓘ ... 8-5B [0,1,2,4,
 5,6,7,8]		 <6,5,4,5,5,3> Playⓘ ...
4-5B [0,4,5,6] Playⓘ ... 8-5A [0,1,2,3,
 4,6,7,8]		 Playⓘ ...
4-6 [0,1,2,7] <2,1,0,0,2,1> 6 Playⓘ dream chord 8-6 [0,1,2,3,
 5,6,7,8]		 <6,5,4,4,6,3> Playⓘ ...
4-7 [0,1,4,5] <2,0,1,2,1,0> 8 Playⓘ ... 8-7 [0,1,2,3,
 4,5,8,9]		 <6,4,5,6,5,2> Playⓘ ...
4-8 [0,1,5,6] <2,0,0,1,2,1> 10 Playⓘ ... 8-8 [0,1,2,3,
 4,7,8,9]		 <6,4,4,5,6,3> Playⓘ ...
4-9 [0,1,6,7] <2,0,0,0,2,2> 2 Playⓘ distance model 8-9 [0,1,2,3,
 6,7,8,9]		 <6,4,4,4,6,4> Playⓘ ...
4-10 [0,2,3,5] <1,2,2,0,1,0> 3 Playⓘ ... 8-10 [0,2,3,4,
 5,6,7,9]		 <5,6,6,4,5,2> Playⓘ ...
4-11A [0,1,3,5] <1,2,1,1,1,0> 26 Playⓘ ... 8-11B [0,2,4,5,
 6,7,8,9]		 <5,6,5,5,5,2> Playⓘ ...
4-11B [0,2,4,5] Playⓘ ... 8-11A [0,1,2,3,
 4,5,7,9]		 Playⓘ ...
4-12A [0,2,3,6] <1,1,2,1,0,1> 28 Playⓘ ... 8-12A [0,1,3,4,
 5,6,7,9]		 <5,5,6,5,4,3> Playⓘ ...
4-12B [0,3,4,6] Playⓘ ... 8-12B [0,2,3,4,
 5,6,8,9]		 Playⓘ ...
4-13A [0,1,3,6] <1,1,2,0,1,1> 7 Playⓘ ... 8-13B [0,2,3,5,
 6,7,8,9]		 <5,5,6,4,5,3> Playⓘ ...
4-13B [0,3,5,6] Playⓘ ... 8-13A [0,1,2,3,
 4,6,7,9]		 Playⓘ ...
4-14A [0,2,3,7] <1,1,1,1,2,0> 25 Playⓘ ... 8-14A [0,1,2,4,
 5,6,7,9]		 <5,5,5,5,6,2> Playⓘ ...
4-14B [0,4,5,7] Playⓘ ... 8-14B [0,2,3,4,
 5,7,8,9]		 Playⓘ ...
4-z15A [0,1,4,6] <1,1,1,1,1,1> 18 Playⓘ all-interval tetrachord 8-z15B [0,1,3,5,
 6,7,8,9]		 <5,5,5,5,5,3> Playⓘ ...
4-z15B [0,2,5,6] Playⓘ all-interval tetrachord 8-z15A [0,1,2,3,
 4,6,8,9]		 Playⓘ ...
4-16A [0,1,5,7] <1,1,0,1,2,1> 19 Playⓘ ... 8-16B [0,1,2,4,
 6,7,8,9]		 <5,5,4,5,6,3> Playⓘ ...
4-16B [0,2,6,7] Playⓘ ... 8-16A [0,1,2,3,
 5,7,8,9]		 Playⓘ ...
4-17 [0,3,4,7] <1,0,2,2,1,0> 13 Playⓘ alpha chord 8-17 [0,1,3,4,
 5,6,8,9]		 <5,4,6,6,5,2> Playⓘ ...
4-18A [0,1,4,7] <1,0,2,1,1,1> 21 Playⓘ dim. M7 chord 8-18B [0,1,3,4,
 6,7,8,9]		 <5,4,6,5,5,3> Playⓘ ...
4-18B [0,3,6,7] Playⓘ ... 8-18A [0,1,2,3,
 5,6,8,9]		 Playⓘ ...
4-19A [0,1,4,8] <1,0,1,3,1,0> 24 Playⓘ mM7 chord 8-19B [0,1,3,4,
 5,7,8,9]		 <5,4,5,7,5,2> Playⓘ ...
4-19B [0,3,4,8] Playⓘ ... 8-19A [0,1,2,4,
 5,6,8,9]		 Playⓘ ...
4-20 [0,1,5,8] <1,0,1,2,2,0> 15 Playⓘ M7 chord 8-20 [0,1,2,4,
 5,7,8,9]		 <5,4,5,6,6,2> Playⓘ ...
4-21 [0,2,4,6] <0,3,0,2,0,1> 11 Playⓘ ... 8-21 [0,1,2,3,
 4,6,8,T]		 <4,7,4,6,4,3> Playⓘ ...
4-22A [0,2,4,7] <0,2,1,1,2,0> 27 Playⓘ mu chord 8-22B [0,1,3,4,
 5,6,8,T] [d]		 <4,6,5,5,6,2> Playⓘ ...
4-22B [0,3,5,7] Playⓘ ... 8-22A [0,1,2,3,
 5,6,8,T]		 Playⓘ ...
4-23 [0,2,5,7] <0,2,1,0,3,0> 4 Playⓘ quartal chord 8-23 [0,1,2,3,
 5,7,8,T]		 <4,6,5,4,7,2> Playⓘ bebop scale
4-24 [0,2,4,8] <0,2,0,3,0,1> 16 Playⓘ A7 chord 8-24 [0,1,2,4,
 5,6,8,T]		 <4,6,4,7,4,3> Playⓘ ...
4-25 [0,2,6,8] <0,2,0,2,0,2> 12 Playⓘ Fr6 8-25 [0,1,2,4,
 6,7,8,T]		 <4,6,4,6,4,4> Playⓘ ...
4-26 [0,3,5,8] <0,1,2,1,2,0> 14 Playⓘ minor seventh chord 8-26 [0,1,3,4,
 5,7,8,T][e]		 <4,5,6,5,6,2> Playⓘ ...
4-27A [0,2,5,8] <0,1,2,1,1,1> 29 Playⓘ Half-diminished seventh chord 8-27B [0,1,3,4,
 6,7,8,T] [f]		 <4,5,6,5,5,3> Playⓘ ...
4-27B [0,3,6,8] Playⓘ dominant 7th chord 8-27A [0,1,2,4,
 5,7,8,T]		 Playⓘ ...
4-28 [0,3,6,9] <0,0,4,0,0,2> 5 Playⓘ dim. 7th chord 8-28 [0,1,3,4,
 6,7,9,T]		 <4,4,8,4,4,4> Playⓘ octatonic scale
4-z29A [0,1,3,7] <1,1,1,1,1,1> 23 Playⓘ all-interval tetrachord 8-z29B [0,2,3,4,
 6,7,8,9]		 <5,5,5,5,5,3> Playⓘ ...
4-z29B [0,4,6,7] Playⓘ all-interval tetrachord 8-z29A [0,1,2,3,
 5,6,7,9]		 Playⓘ ...
5-1 [0,1,2,3,4] <4,3,2,1,0,0> Playⓘ ... 7-1 [0,1,2,3,
 4,5,6]		 <6,5,4,3,2,1> 1 Playⓘ ...
5-2A [0,1,2,3,5] <3,3,2,1,1,0> Playⓘ ... 7-2B [0,2,3,4,
 5,6,7]		 <5,5,4,3,3,1> 11 Playⓘ ...
5-2B [0,2,3,4,5] Playⓘ ... 7-2A [0,1,2,3,
 4,5,7]		 Playⓘ ...
5-3A [0,1,2,4,5] <3,2,2,2,1,0> Playⓘ ... 7-3B [0,3,4,5,
 6,7,8]		 <5,4,4,4,3,1> 14 Playⓘ ...
5-3B [0,1,3,4,5] Playⓘ ... 7-3A [0,1,2,3,
 4,5,8]		 Playⓘ ...
5-4A [0,1,2,3,6] <3,2,2,1,1,1> Playⓘ ... 7-4B [0,1,3,4,
 5,6,7]		 <5,4,4,3,3,2> 12 Playⓘ ...
5-4B [0,3,4,5,6] Playⓘ ... 7-4A [0,1,2,3,
 4,6,7]		 Playⓘ ...
5-5A [0,1,2,3,7] <3,2,1,1,2,1> Playⓘ ... 7-5B [0,1,2,4,
 5,6,7]		 <5,4,3,3,4,2> 13 Playⓘ ...
5-5B [0,4,5,6,7] Playⓘ ... 7-5A [0,1,2,3,
 5,6,7]		 Playⓘ ...
5-6A [0,1,2,5,6] <3,1,1,2,2,1> Playⓘ ... 7-6B [0,1,4,5,
 6,7,8]		 <5,3,3,4,4,2> 27 Playⓘ ...
5-6B [0,1,4,5,6] Playⓘ ... 7-6A [0,1,2,3,
 4,7,8]		 Playⓘ ...
5-7A [0,1,2,6,7] <3,1,0,1,3,2> Playⓘ ... 7-7B [0,1,2,5,
 6,7,8]		 <5,3,2,3,5,3> 30 Playⓘ ...
5-7B [0,1,5,6,7] Playⓘ ... 7-7A [0,1,2,3,
 6,7,8]		 Playⓘ ...
5-8 [0,2,3,4,6] <2,3,2,2,0,1> Playⓘ ... 7-8 [0,2,3,4,
 5,6,8]		 <4,5,4,4,2,2> 2 Playⓘ ...
5-9A [0,1,2,4,6] <2,3,1,2,1,1> Playⓘ ... 7-9B [0,2,4,5,
 6,7,8]		 <4,5,3,4,3,2> 15 Playⓘ ...
5-9B [0,2,4,5,6] Playⓘ ... 7-9A [0,1,2,3,
 4,6,8]		 Playⓘ ...
5-10A [0,1,3,4,6] <2,2,3,1,1,1> Playⓘ ... 7-10B [0,2,3,4,
 5,6,9]		 <4,4,5,3,3,2> 19 Playⓘ ...
5-10B [0,2,3,5,6] Playⓘ ... 7-10A [0,1,2,3,
 4,6,9]		 Playⓘ ...
5-11A [0,2,3,4,7] <2,2,2,2,2,0> Playⓘ ... 7-11B [0,2,3,4,
 5,7,8]		 <4,4,4,4,4,1> 18 Playⓘ ...
5-11B [0,3,4,5,7] Playⓘ ... 7-11A [0,1,3,4,
 5,6,8]		 Playⓘ ...
5-z12 [0,1,3,5,6] <2,2,2,1,2,1> Playⓘ ... 7-z12 [0,1,2,3,
 4,7,9]		 <4,4,4,3,4,2> 5 Playⓘ ...
5-13A [0,1,2,4,8] <2,2,1,3,1,1> Playⓘ ... 7-13B [0,2,3,4,
 6,7,8]		 <4,4,3,5,3,2> 17 Playⓘ ...
5-13B [0,2,3,4,8] Playⓘ ... 7-13A [0,1,2,4,
 5,6,8]		 Playⓘ ...
5-14A [0,1,2,5,7] <2,2,1,1,3,1> Playⓘ ... 7-14B [0,1,3,5,
 6,7,8]		 <4,4,3,3,5,2> 28 Playⓘ ...
5-14B [0,2,5,6,7] Playⓘ ... 7-14A [0,1,2,3,
 5,7,8]		 Playⓘ ...
5-15 [0,1,2,6,8] <2,2,0,2,2,2> Playⓘ ... 7-15 [0,1,2,4,
 6,7,8]		 <4,4,2,4,4,3> 4 Playⓘ ...
5-16A [0,1,3,4,7] <2,1,3,2,1,1> Playⓘ ... 7-16B [0,1,3,4,
 5,6,9]		 <4,3,5,4,3,2> 20 Playⓘ ...
5-16B [0,3,4,6,7] Playⓘ ... 7-16A [0,1,2,3,
 5,6,9]		 Playⓘ ...
5-z17 [0,1,3,4,8] <2,1,2,3,2,0> Playⓘ Farben chord 7-z17 [0,1,2,4,
 5,6,9]		 <4,3,4,5,4,1> 10 Playⓘ ...
5-z18A [0,1,4,5,7] <2,1,2,2,2,1> Playⓘ ... 7-z18A [0,1,4,5,
 6,7,9][g]		 <4,3,4,4,4,2> 35 Playⓘ ...
5-z18B [0,2,3,6,7] Playⓘ ... 7-z18B [0,2,3,4,
 5,8,9] [h]		 Playⓘ ...
5-19A [0,1,3,6,7] <2,1,2,1,2,2> Playⓘ ... 7-19B [0,1,2,3,
 6,8,9]		 <4,3,4,3,4,3> 31 Playⓘ ...
5-19B [0,1,4,6,7] Playⓘ ... 7-19A [0,1,2,3,
 6,7,9]		 Playⓘ ...
5-20A [0,1,5,6,8][i] <2,1,1,2,3,1> Playⓘ ... 7-20B [0,2,3,4,
 7,8,9][j]		 <4,3,3,4,5,2> 34 Playⓘ ...
5-20B [0,2,3,7,8][k] Playⓘ In scale 7-20A [0,1,2,5,
 6,7,9][l]		 Playⓘ Persian scale
5-21A [0,1,4,5,8] <2,0,2,4,2,0> Playⓘ ... 7-21B [0,1,3,4,
 5,8,9]		 <4,2,4,6,4,1> 21 Playⓘ ...
5-21B [0,3,4,7,8] Playⓘ ... 7-21A [0,1,2,4,
 5,8,9]		 Playⓘ ...
5-22 [0,1,4,7,8] <2,0,2,3,2,1> Playⓘ ... 7-22 [0,1,2,5,
 6,8,9]		 <4,2,4,5,4,2> 8 Playⓘ double harmonic scale
5-23A [0,2,3,5,7] <1,3,2,1,3,0> Playⓘ ... 7-23B [0,2,4,5,
 6,7,9]		 <3,5,4,3,5,1> 25 Playⓘ ...
5-23B [0,2,4,5,7] Playⓘ ... 7-23A [0,2,3,4,
 5,7,9]		 Playⓘ ...
5-24A [0,1,3,5,7] <1,3,1,2,2,1> Playⓘ ... 7-24B [0,2,4,6,
 7,8,9]		 <3,5,3,4,4,2> 22 Playⓘ enigmatic scale
5-24B [0,2,4,6,7] Playⓘ ... 7-24A [0,1,2,3,
 5,7,9]		 Playⓘ ...
5-25A [0,2,3,5,8] <1,2,3,1,2,1> Playⓘ Seven six chord 7-25B [0,2,3,5,
 6,7,9]		 <3,4,5,3,4,2> 24 Playⓘ ...
5-25B [0,3,5,6,8] Playⓘ ... 7-25A [0,2,3,4,
 6,7,9]		 Playⓘ ...
5-26A [0,2,4,5,8] <1,2,2,3,1,1> Playⓘ ... 7-26A [0,1,3,4,
 5,7,9]		 <3,4,4,5,3,2> 26 Playⓘ ...
5-26B [0,3,4,6,8] Playⓘ ... 7-26B [0,2,4,5,
 6,8,9]		 Playⓘ ...
5-27A [0,1,3,5,8] <1,2,2,2,3,0> Playⓘ ... 7-27B [0,2,4,5,
 7,8,9]		 <3,4,4,4,5,1> 23 Playⓘ ...
5-27B [0,3,5,7,8] Playⓘ ... 7-27A [0,1,2,4,
 5,7,9]		 Playⓘ ...
5-28A [0,2,3,6,8] <1,2,2,2,1,2> Playⓘ ... 7-28A [0,1,3,5,
 6,7,9]		 <3,4,4,4,3,3> 36 Playⓘ ...
5-28B [0,2,5,6,8] Playⓘ ... 7-28B [0,2,3,4,
 6,8,9]		 Playⓘ ...
5-29A [0,1,3,6,8] <1,2,2,1,3,1> Playⓘ ... 7-29B [0,2,3,5,
 7,8,9]		 <3,4,4,3,5,2> 32 Playⓘ ...
5-29B [0,2,5,7,8] Playⓘ ... 7-29A [0,1,2,4,
 6,7,9]		 Playⓘ ...
5-30A [0,1,4,6,8] <1,2,1,3,2,1> Playⓘ ... 7-30B [0,1,3,5,
 7,8,9]		 <3,4,3,5,4,2> 37 Playⓘ ...
5-30B [0,2,4,7,8] Playⓘ ... 7-30A [0,1,2,4,
 6,8,9]		 Playⓘ minor Neapolitan scale
5-31A [0,1,3,6,9] <1,1,4,1,1,2> Playⓘ beta chord 7-31B [0,2,3,5,
 6,8,9]		 <3,3,6,3,3,3> 38 Playⓘ Romanian major scale
5-31B [0,2,3,6,9] Playⓘ Dominant minor ninth chord 7-31A [0,1,3,4,
 6,7,9]		 Playⓘ Hungarian major scale
5-32A [0,1,4,6,9] <1,1,3,2,2,1> Playⓘ ... 7-32B [0,1,3,5,
 6,8,9]		 <3,3,5,4,4,2> 33 Playⓘ harmonic major scale
5-32B [0,2,5,6,9][m] Playⓘ Elektra chord, gamma chord 7-32A [0,1,3,4,
 6,8,9]		 Playⓘ harmonic minor scale
5-33 [0,2,4,6,8] <0,4,0,4,0,2> Playⓘ ... 7-33 [0,1,2,4,
 6,8,T]		 <2,6,2,6,2,3> 6 Playⓘ M Locrian scale
5-34 [0,2,4,6,9] <0,3,2,2,2,1> Playⓘ Dominant ninth chord 7-34 [0,1,3,4,
 6,8,T]		 <2,5,4,4,4,2> 9 Playⓘ altered scale
5-35 [0,2,4,7,9] <0,3,2,1,4,0> Playⓘ M pentatonic scale 7-35 [0,1,3,5,
 6,8,T]		 <2,5,4,3,6,1> 7 Playⓘ diatonic scale
5-z36A [0,1,2,4,7] <2,2,2,1,2,1> Playⓘ ... 7-z36B [0,2,3,5,
 6,7,8]		 <4,4,4,3,4,2> 16 Playⓘ ...
5-z36B [0,3,5,6,7] Playⓘ ... 7-z36A [0,1,2,3,
 5,6,8]		 Playⓘ ...
5-z37 [0,3,4,5,8] <2,1,2,3,2,0> Playⓘ ... 7-z37 [0,1,3,4,
 5,7,8]		 <4,3,4,5,4,1> 3 Playⓘ ...
5-z38A [0,1,2,5,8] <2,1,2,2,2,1> Playⓘ ... 7-z38B [0,1,3,4,
 6,7,8]		 <4,3,4,4,4,2> 29 Playⓘ ...
5-z38B [0,3,6,7,8] Playⓘ ... 7-z38A [0,1,2,4,
 5,7,8]		 Playⓘ ...
6-1 [0,1,2,3,4,5] <5,4,3,2,1,0> 4 Playⓘ chromatic hexachord
6-2A [0,1,2,3,4,6] <4,4,3,2,1,1> 19 Playⓘ ...
6-2B [0,2,3,4,5,6] Playⓘ ...
6-z3A [0,1,2,3,5,6] <4,3,3,2,2,1> 49 Playⓘ ... 6-z36B [0,3,4,5,6,7] <4,3,3,2,2,1> 50 Playⓘ ...
6-z3B [0,1,3,4,5,6] Playⓘ ... 6-z36A [0,1,2,3,4,7] Playⓘ ...
6-z4 [0,1,2,4,5,6] <4,3,2,3,2,1> 24 Playⓘ ... 6-z37 [0,1,2,3,4,8] <4,3,2,3,2,1> 23 Playⓘ ...
6-5A [0,1,2,3,6,7] <4,2,2,2,3,2> 16 Playⓘ ...
6-5B [0,1,4,5,6,7] Playⓘ ...
6-z6 [0,1,2,5,6,7] <4,2,1,2,4,2> 33 Playⓘ ... 6-z38 [0,1,2,3,7,8] <4,2,1,2,4,2> 34 Playⓘ ...
6-7 [0,1,2,6,7,8] <4,2,0,2,4,3> 7 Playⓘ ...
6-8 [0,2,3,4,5,7] <3,4,3,2,3,0> 5 Playⓘ ...
6-9A [0,1,2,3,5,7] <3,4,2,2,3,1> 20 Playⓘ ...
6-9B [0,2,4,5,6,7] Playⓘ ...
6-z10A [0,1,3,4,5,7] <3,3,3,3,2,1> 42 Playⓘ ... 6-z39B [0,3,4,5,6,8] <3,3,3,3,2,1> 41 Playⓘ ...
6-z10B [0,2,3,4,6,7] Playⓘ ... 6-z39A [0,2,3,4,5,8] Playⓘ ...
6-z11A [0,1,2,4,5,7] <3,3,3,2,3,1> 47 Playⓘ ... 6-z40B [0,3,5,6,7,8] <3,3,3,2,3,1> 48 Playⓘ ...
6-z11B [0,2,3,5,6,7] Playⓘ Sacher hexachord 6-z40A [0,1,2,3,5,8] Playⓘ ...
6-z12A [0,1,2,4,6,7] <3,3,2,2,3,2> 46 Playⓘ ... 6-z41B [0,2,5,6,7,8] <3,3,2,2,3,2> 45 Playⓘ ...
6-z12B [0,1,3,5,6,7] Playⓘ ... 6-z41A [0,1,2,3,6,8] Playⓘ ...
6-z13 [0,1,3,4,6,7] <3,2,4,2,2,2> 29 Playⓘ ... 6-z42 [0,1,2,3,6,9] <3,2,4,2,2,2> 30 Playⓘ ...
6-14A [0,1,3,4,5,8] <3,2,3,4,3,0> 3 Playⓘ ...
6-14B [0,3,4,5,7,8] Playⓘ ...
6-15A [0,1,2,4,5,8] <3,2,3,4,2,1> 13 Playⓘ ...
6-15B [0,3,4,6,7,8] Playⓘ ...
6-16A [0,1,4,5,6,8] <3,2,2,4,3,1> 11 Playⓘ ...
6-16B [0,2,3,4,7,8] Playⓘ ...
6-z17A [0,1,2,4,7,8] <3,2,2,3,3,2> 35 Playⓘ all-trichord hexachord 6-z43B [0,2,3,6,7,8] <3,2,2,3,3,2> 36 Playⓘ ...
6-z17B [0,1,4,6,7,8] Playⓘ ... 6-z43A [0,1,2,5,6,8] Playⓘ ...
6-18A [0,1,2,5,7,8] <3,2,2,2,4,2> 17 Playⓘ ...
6-18B [0,1,3,6,7,8] Playⓘ ...
6-z19A [0,1,3,4,7,8] <3,1,3,4,3,1> 37 Playⓘ ... 6-z44B [0,1,4,5,6,9][n] <3,1,3,4,3,1> 38 Playⓘ ...
6-z19B [0,1,4,5,7,8] Playⓘ ... 6-z44A [0,1,2,5,6,9] Playⓘ Schoenberg hexachord
6-20 [0,1,4,5,8,9] <3,0,3,6,3,0> 2 Playⓘ "Ode-to-Napoleon" hexachord
6-21A [0,2,3,4,6,8] <2,4,2,4,1,2> 12 Playⓘ ...
6-21B [0,2,4,5,6,8] Playⓘ ...
6-22A [0,1,2,4,6,8] <2,4,1,4,2,2> 10 Playⓘ ...
6-22B [0,2,4,6,7,8] Playⓘ ...
6-z23 [0,2,3,5,6,8] <2,3,4,2,2,2> 27 Playⓘ ... 6-z45 [0,2,3,4,6,9] <2,3,4,2,2,2> 28 Playⓘ ...
6-z24A [0,1,3,4,6,8] <2,3,3,3,3,1> 39 Playⓘ ... 6-z46B [0,2,4,5,6,9] <2,3,3,3,3,1> 40 Playⓘ ...
6-z24B [0,2,4,5,7,8] Playⓘ ... 6-z46A [0,1,2,4,6,9] Playⓘ ...
6-z25A [0,1,3,5,6,8] <2,3,3,2,4,1> 43 Playⓘ Major eleventh chord 6-z47B [0,2,3,4,7,9] <2,3,3,2,4,1> 44 Playⓘ blues scale
6-z25B [0,2,3,5,7,8] Playⓘ ... 6-z47A [0,1,2,4,7,9] Playⓘ ...
6-z26 [0,1,3,5,7,8] <2,3,2,3,4,1> 26 Playⓘ ... 6-z48 [0,1,2,5,7,9] <2,3,2,3,4,1> 25 Playⓘ ...
6-27A [0,1,3,4,6,9] <2,2,5,2,2,2> 14 Playⓘ ...
6-27B [0,2,3,5,6,9] Playⓘ ...
6-z28 [0,1,3,5,6,9] <2,2,4,3,2,2> 21 Playⓘ ... 6-z49 [0,1,3,4,7,9] <2,2,4,3,2,2> 22 Playⓘ ...
6-z29 [0,2,3,6,7,9][o] <2,2,4,2,3,2> 32 Playⓘ Bridge chord 6-z50 [0,1,4,6,7,9] <2,2,4,2,3,2> 31 Playⓘ ...
6-30A [0,1,3,6,7,9] <2,2,4,2,2,3> 15 Playⓘ ...
6-30B [0,2,3,6,8,9] Playⓘ Petrushka chord
6-31A [0,1,4,5,7,9][p] <2,2,3,4,3,1> 8 Playⓘ ...
6-31B [0,2,4,5,8,9][q] Playⓘ ...
6-32 [0,2,4,5,7,9] <1,4,3,2,5,0> 6 Playⓘ diatonic hexachord
6-33A [0,2,3,5,7,9] <1,4,3,2,4,1> 18 Playⓘ ...
6-33B [0,2,4,6,7,9] Playⓘ Dominant eleventh chord
6-34A [0,1,3,5,7,9] <1,4,2,4,2,2> 9 Playⓘ mystic chord
6-34B [0,2,4,6,8,9] Playⓘ Prélude chord
6-35 [0,2,4,6,8,T] <0,6,0,6,0,3> 1 Playⓘ whole tone scale

Move second-half into here:

Forte no. Prime form Interval vector Carter no. Audio Possible spacings
12-1 [0,1,2,3,4,5,
 6,7,8,9,T,E]		 <C,C,C,C,C,6> Playⓘ aggregate
11-1 [0,1,2,3,4,5,
 6,7,8,9,T]		 <T,T,T,T,T,5> Playⓘ ...
10-1 [0,1,2,3,4,
 5,6,7,8,9]		 <9,8,8,8,8,4> Playⓘ ...
10-2 [0,1,2,3,4,
 5,6,7,8,T]		 <8,9,8,8,8,4> Playⓘ ...
10-3 [0,1,2,3,4,
 5,6,7,9,T]		 <8,8,9,8,8,4> Playⓘ ...
10-4 [0,1,2,3,4,
 5,6,8,9,T]		 <8,8,8,9,8,4> Playⓘ ...
10-5 [0,1,2,3,4,
 5,7,8,9,T]		 <8,8,8,8,9,4> Playⓘ ...
10-6 [0,1,2,3,4,
 6,7,8,9,T]		 <8,8,8,8,8,5> Playⓘ ...
9-1 [0,1,2,3,4,
 5,6,7,8]		 <8,7,6,6,6,3> Playⓘ ...
9-2B [0,2,3,4,5,
 6,7,8,9]		 <7,7,7,6,6,3> Playⓘ ...
9-2A [0,1,2,3,4,
 5,6,7,9]		 Playⓘ ...
9-3B [0,1,3,4,
 5,6,7,8,9]		 <7,6,7,7,6,3> Playⓘ ...
9-3A [0,1,2,3,4,
 5,6,8,9]		 Playⓘ ...


Cite error: There are <ref group=lower-alpha> tags or {{efn}} templates on this page, but the references will not show without a {{reflist|group=lower-alpha}} template or {{notelist}} template (see the help page).

  1. ^ Everett, Walter (2008). The Foundations of Rock, p.169. Oxford. ISBN 9780199718702.
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