Chord Type: 0 3 4 8 9 10

0 3 4 8 9 10 = M#13#5#9 no 11th = all-trichord hexachord

This Chord Type Chord Diagrams in 4ths Tuning
This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3)

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General Statistics Cardinality: 6 Jordan Number: 6-22 Forte Number: 6-z17 Forte Prime Form: [0,1,2,4,7,8] Zeitler Scale Name: Phrythimic Root Reference: 0 3 4 8 9 10 Tone Stacking: 0 3 1 4 1 1 Interval Stacking: 3 1 4 1 1 2 Binary: 1 0 0 1 1 0 0 0 1 1 1 0 Decimal Value: 1817 Interval Vector: 3 2 2 3 3 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.516 Harmonic Adjacency (0-1): 0.516 Diachromatic Family: 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 1 3 7 8 10 = mb13b9 no 11th 0 1 3 7 8 11 = mMb13b9 no 11th 0 1 3 7 9 10 = m13b9 no 11th 0 1 3 7 9 11 = mM13b9 no 11th 0 1 3 7 10 11 = mM#13b9 no 11th 0 1 4 7 8 10 = 7b13b9 no 11th 0 1 4 7 8 11 = Mb13b9 no 11th 0 1 4 7 9 10 = 13b9 no 11th 0 1 4 7 9 11 = M13b9 no 11th 0 1 4 7 10 11 = M#13b9 no 11th 0 1 4 8 10 11 = M#13#5b9 no 11th 0 2 3 7 8 10 = mb13 no 11th 0 2 3 7 8 11 = mMb13 no 11th 0 2 3 7 9 10 = m13 no 11th 0 2 3 7 9 11 = mM 13 no 11th 0 2 3 7 10 11 = mM#13 no 11th 0 2 3 8 10 11 = mM#13 no 11th 0 2 4 7 8 10 = 7b13 no 11th 0 2 4 7 8 11 = M7b13 no 11th 0 2 4 7 9 10 = 13 no 11th 0 2 4 7 9 11 = M13 no 11th, Guido hex., 6 in 5ths 0 2 4 7 10 11 = M#13 no 11th 0 2 4 8 9 10 = 13#5 no 11th 0 2 4 8 9 11 = M13#5 no 11th 0 2 4 8 10 11 = M#13#5 no 11th 0 3 4 6 10 11 = M#13b5#9 no 11th 0 3 4 7 8 10 = 7b13#9 no 11th 0 3 4 7 8 11 = Mb13#9 no 11th, aug. scale, type e ACH 0 3 4 7 9 10 = 13#9 no 11th 0 3 4 7 9 11 = M13#9 no 11th 0 3 4 7 10 11 = M#13#9 no 11th, Schoen. hex ->0 3 4 8 9 10 = M#13#5#9 no 11th, all-tri hex 0 3 4 8 9 11 = M13#5#9 no 11th 0 3 4 8 10 11 = M7#5#9 no 11th All Transopositions of Chord Type: +0= 0 3 4 8 9 10 |M#13#5#9 no 11th = all-trichord hexachord +1= 1 4 5 9 10 11 | +2= 0 2 5 6 10 11 | +3= 0 1 3 6 7 11 |mM#11b9 = all-trichord hexachord +4= 0 1 2 4 7 8 |all-trichord hexachord +5= 1 2 3 5 8 9 | +6= 2 3 4 6 9 10 | +7= 3 4 5 7 10 11 | +8= 0 4 5 6 8 11 | +9= 0 1 5 6 7 9 | +10= 1 2 6 7 8 10 | +11= 2 3 7 8 9 11 | Modes of Chord Type: (mode 0) 0: 0 3 4 8 9 10 | M#13#5#9 no 11th = all-trichord hexachord (mode 1) 3: 0 1 5 6 7 9 | (mode 2) 4: 0 4 5 6 8 11 | (mode 3) 8: 0 1 2 4 7 8 | all-trichord hexachord (mode 4) 9: 0 1 3 6 7 11 | mM#11b9 = all-trichord hexachord (mode 5) 10: 0 2 5 6 10 11 | Inversion at 0: 0 2 3 4 8 9 (mode 0) 0: 0 2 3 4 8 9 | (mode 1) 2: 0 1 2 6 7 10 | (mode 2) 3: 0 1 5 6 9 11 | (mode 3) 4: 0 4 5 8 10 11 | (mode 4) 8: 0 1 4 6 7 8 | (mode 5) 9: 0 3 5 6 7 11 | Times 7: 0 3 4 8 9 10 (mode 0) 0: 0 3 4 8 9 10 | M#13#5#9 no 11th = all-trichord hexachord (mode 1) 3: 0 1 5 6 7 9 | (mode 2) 4: 0 4 5 6 8 11 | (mode 3) 8: 0 1 2 4 7 8 | all-trichord hexachord (mode 4) 9: 0 1 3 6 7 11 | mM#11b9 = all-trichord hexachord (mode 5) 10: 0 2 5 6 10 11 | Times 5: 0 2 3 4 8 9 (mode 0) 0: 0 2 3 4 8 9 | (mode 1) 2: 0 1 2 6 7 10 | (mode 2) 3: 0 1 5 6 9 11 | (mode 3) 4: 0 4 5 8 10 11 | (mode 4) 8: 0 1 4 6 7 8 | (mode 5) 9: 0 3 5 6 7 11 | Modal System: 0 1 2 4 7 8 from root(s) 8 | "mM#11b9 modal system" Modes of Modal System: (mode 0) 0: 0 1 2 4 7 8 | all-trichord hexachord (mode 1) 1: 0 1 3 6 7 11 | mM#11b9 = all-trichord hexachord (mode 2) 2: 0 2 5 6 10 11 | (mode 3) 4: 0 3 4 8 9 10 | M#13#5#9 no 11th = all-trichord hexachord (mode 4) 7: 0 1 5 6 7 9 | (mode 5) 8: 0 4 5 6 8 11 | Complement: 1 2 5 6 7 11 (mode 0) 1: 0 1 4 5 6 10 | (mode 1) 2: 0 3 4 5 9 11 | (mode 2) 5: 0 1 2 6 8 9 | (mode 3) 6: 0 1 5 7 8 11 | (mode 4) 7: 0 4 6 7 10 11 | M#13#11 no 9th (mode 5) 11: 0 2 3 6 7 8 | All but the root (subchroma complement of 0): 3 4 8 9 10 (mode 0) 3: 0 1 5 6 7 | (mode 1) 4: 0 4 5 6 11 | (mode 2) 8: 0 1 2 7 8 | (mode 3) 9: 0 1 6 7 11 | (mode 4) 10: 0 5 6 10 11 | Dechromaticised: 0 3 4 8 10 (mode 0) 0: 0 3 4 8 10 | 7#5#9 (mode 1) 3: 0 1 5 7 9 | (mode 2) 4: 0 4 6 8 11 | (mode 3) 8: 0 2 4 7 8 | (mode 4) 10: 0 2 5 6 10 | Dechromaticised but Keep 0 0 3 4 8 10 (unchanged) (mode 0) 0: 0 3 4 8 10 | 7#5#9 (mode 1) 3: 0 1 5 7 9 | (mode 2) 4: 0 4 6 8 11 | (mode 3) 8: 0 2 4 7 8 | (mode 4) 10: 0 2 5 6 10 | Dechromaticised but Keep 0 7 N/A chromaticized: N/A chromaticized keep 0: N/A chromaticized keep 0 7: N/A Web Links JCS Wiki Page for This Chord Type This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3) All-trichord hexachord - Wikipedia Subsets by Subchroma Modal System Subchroma Modal Systems of 0 3 4 8 9 10 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 4 = 4 = 4: 0 8 = 8 = 8: 0 9 = 9 = 9: 0 10 = 10 = 10: 0 subchroma modal system: 0 1 0 3 = 0 3 = 0: 0 3 3: 0 9 3 4 = 3 4 = 3: 0 1 4: 0 11 4 8 = 4 8 = 4: 0 4 8: 0 8 8 9 = 8 9 = 8: 0 1 9: 0 11 9 10 = 9 10 = 9: 0 1 10: 0 11 10 0 = 0 10 = 10: 0 2 0: 0 10 subchroma modal system: 0 2 0 4 = 0 4 = 0: 0 4 4: 0 8 3 8 = 3 8 = 3: 0 5 8: 0 7 4 9 = 4 9 = 4: 0 5 9: 0 7 8 10 = 8 10 = 8: 0 2 10: 0 10 9 0 = 0 9 = 9: 0 3 0: 0 9 10 3 = 3 10 = 10: 0 5 3: 0 7 subchroma modal system: 0 3 0 8 = 0 8 = 8: 0 4 0: 0 8 3 9 = 3 9 = 3 9: 0 6 4 10 = 4 10 = 4 10: 0 6 8 0 = 0 8 = 8: 0 4 0: 0 8 9 3 = 3 9 = 3 9: 0 6 10 4 = 4 10 = 4 10: 0 6 subchroma modal system: 0 1 2 0 3 4 = 0 3 4 = 0: 0 3 4 3 4 8 = 3 4 8 = 4: 0 4 11 8: 0 7 8 4 8 9 = 4 8 9 = 4: 0 4 5 9: 0 7 11 8 9 10 = 8 9 10 = 8: 0 1 2 9: 0 1 11 10: 0 10 11 9 10 0 = 0 9 10 = 9: 0 1 3 10: 0 2 11 10 0 3 = 0 3 10 = 0: 0 3 10 3: 0 7 9 subchroma modal system: 0 1 3 0 3 8 = 0 3 8 = 8: 0 4 7 3 4 9 = 3 4 9 = 9: 0 6 7 4 8 10 = 4 8 10 = 4: 0 4 6 8 9 0 = 0 8 9 = 8: 0 1 4 9: 0 3 11 9 10 3 = 3 9 10 = 3: 0 6 7 10 0 4 = 0 4 10 = 0: 0 4 10 subchroma modal system: 0 1 4 0 3 9 = 0 3 9 = 9: 0 3 6 0: 0 3 9 3 4 10 = 3 4 10 = 3: 0 1 7 4 8 0 = 0 4 8 = 0 4 8: 0 4 8 8 9 3 = 3 8 9 = 8: 0 1 7 9 10 4 = 4 9 10 = 9: 0 1 7 10 0 8 = 0 8 10 = 8: 0 2 4 subchroma modal system: 0 2 4 0 4 9 = 0 4 9 = 9: 0 3 7 0: 0 4 9 3 8 10 = 3 8 10 = 8: 0 2 7 3: 0 5 7 10: 0 5 10 4 9 0 = 0 4 9 = 9: 0 3 7 0: 0 4 9 8 10 3 = 3 8 10 = 8: 0 2 7 3: 0 5 7 10: 0 5 10 9 0 4 = 0 4 9 = 9: 0 3 7 0: 0 4 9 10 3 8 = 3 8 10 = 8: 0 2 7 3: 0 5 7 10: 0 5 10 subchroma modal system: 0 1 2 3 0 3 4 8 = 0 3 4 8 = 0: 0 3 4 8 8: 0 4 7 8 4: 0 4 8 11 3 4 8 9 = 3 4 8 9 = 8: 0 1 7 8 4: 0 4 5 11 9: 0 6 7 11 4 8 9 10 = 4 8 9 10 = 9: 0 1 7 11 4: 0 4 5 6 8 9 10 0 = 0 8 9 10 = 8: 0 1 2 4 9: 0 1 3 11 10: 0 2 10 11 9 10 0 3 = 0 3 9 10 = 9: 0 1 3 6 0: 0 3 9 10 3: 0 6 7 9 10 0 3 4 = 0 3 4 10 = 0: 0 3 4 10 3: 0 1 7 9 subchroma modal system: 0 1 2 4 0 3 4 9 = 0 3 4 9 = 0: 0 3 4 9 9: 0 3 6 7 3 4 8 10 = 3 4 8 10 = 3: 0 1 5 7 8: 0 2 7 8 4: 0 4 6 11 4 8 9 0 = 0 4 8 9 = 9: 0 3 7 11 8 9 10 3 = 3 8 9 10 = 8: 0 1 2 7 3: 0 5 6 7 10: 0 5 10 11 9 10 0 4 = 0 4 9 10 = 9: 0 1 3 7 0: 0 4 9 10 10 0 3 8 = 0 3 8 10 = 8: 0 2 4 7 3: 0 5 7 9 subchroma modal system: 0 1 3 4 0 3 8 9 = 0 3 8 9 = 8: 0 1 4 7 9: 0 3 6 11 3 4 9 10 = 3 4 9 10 = 3 9: 0 1 6 7 4 8 10 0 = 0 4 8 10 = 0: 0 4 8 10 8 9 0 3 = 0 3 8 9 = 8: 0 1 4 7 9: 0 3 6 11 9 10 3 4 = 3 4 9 10 = 3 9: 0 1 6 7 10 0 4 8 = 0 4 8 10 = 0: 0 4 8 10 subchroma modal system: 0 1 2 3 4 0 3 4 8 9 = 0 3 4 8 9 = 8: 0 1 4 7 8 9: 0 3 6 7 11 3 4 8 9 10 = 3 4 8 9 10 = 8: 0 1 2 7 8 3: 0 1 5 6 7 9: 0 1 6 7 11 4 8 9 10 0 = 0 4 8 9 10 = 8: 0 1 2 4 8 9: 0 1 3 7 11 4: 0 4 5 6 8 0: 0 4 8 9 10 8 9 10 0 3 = 0 3 8 9 10 = 8: 0 1 2 4 7 9: 0 1 3 6 11 9 10 0 3 4 = 0 3 4 9 10 = 9: 0 1 3 6 7 0: 0 3 4 9 10 3: 0 1 6 7 9 10 0 3 4 8 = 0 3 4 8 10 = 8: 0 2 4 7 8 0: 0 3 4 8 10 3: 0 1 5 7 9 subchroma modal system: 0 1 2 3 4 5 0 3 4 8 9 10 = 0 3 4 8 9 10 = 8: 0 1 2 4 7 8 9: 0 1 3 6 7 11 0: 0 3 4 8 9 10 3 4 8 9 10 0 = 0 3 4 8 9 10 = 8: 0 1 2 4 7 8 9: 0 1 3 6 7 11 0: 0 3 4 8 9 10 4 8 9 10 0 3 = 0 3 4 8 9 10 = 8: 0 1 2 4 7 8 9: 0 1 3 6 7 11 0: 0 3 4 8 9 10 8 9 10 0 3 4 = 0 3 4 8 9 10 = 8: 0 1 2 4 7 8 9: 0 1 3 6 7 11 0: 0 3 4 8 9 10 9 10 0 3 4 8 = 0 3 4 8 9 10 = 8: 0 1 2 4 7 8 9: 0 1 3 6 7 11 0: 0 3 4 8 9 10 10 0 3 4 8 9 = 0 3 4 8 9 10 = 8: 0 1 2 4 7 8 9: 0 1 3 6 7 11 0: 0 3 4 8 9 10 Subsets By Chord Type Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 3 4 8 9 10 = 0: 0 3 4 8 9 10 = 3: 0 1 5 6 7 9 = 4: 0 4 5 6 8 11 = 8: 0 1 2 4 7 8 = 9: 0 1 3 6 7 11 = 10: 0 2 5 6 10 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11 0 2 = maj. 2nd, dim., maj. 9th | 8 10 = 8: 0 2 = 10: 0 10 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 9 = 0: 0 9 = 9: 0 3 0 4 = maj. 3rd, maj. 10th, dim. 4th | 0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 3 4 10 = 3: 0 1 7 = 4: 0 6 11 = 10: 0 5 6 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 3 4 9 10 = 3: 0 1 6 7 = 4: 0 5 6 11 = 9: 0 1 6 7 = 10: 0 5 6 11 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 3 = 0: 0 3 = 3: 0 9 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 10 = 0: 0 10 = 10: 0 2 0 11 = maj. 7th, maj. 14th | 4 9 10 = 4: 0 5 6 = 9: 0 1 7 = 10: 0 6 11 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 8 = 8: 0 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 9 = 9: 0 0 1 4 | 8 = 8: 0 0 2 4 = maj. trichord | 8 = 8: 0 0 3 4 | 0 = 0: 0 Sus2 triads (Scale Degrees: 125) 0 1 7 | 3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11 0 2 7 = sus2, 3 in 5ths | 8 = 8: 0 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 9 = 9: 0 0 2 11 | 10 = 10: 0 Scale Degrees: 134 0 4 5 | 4 = 4: 0 Triads (Scale Degrees: 135) 0 3 6 = dim. | 9 = 9: 0 0 3 7 = m = minor | 9 = 9: 0 0 4 6 = Mb5 | 4 = 4: 0 0 4 7 = M = major | 8 = 8: 0 0 4 8 = + = augmented | 0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 0 = 0: 0 0 4 9 = M6 no 5th | 0 = 0: 0 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 0 = 0: 0 0 3 11 = mM7 no 5th | 9 = 9: 0 0 4 10 = 7 no 5th | 0 = 0: 0 0 4 11 = M7 no 5th | 4 = 4: 0 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 3 = 3: 0 0 6 7 = sus#4, Viennese trichord | 3 9 = 3: 0 6 = 9: 0 6 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 10 = 10: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 8 = 8: 0 0 7 9 | 3 = 3: 0 7th chords no 3rd (Scale Degrees: 157) 0 7 11 = M power chord | 9 = 9: 0 Scale Degrees: 167 0 10 11 | 10 = 10: 0 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 4 | 8 = 8: 0 Scale Degrees: 1225 0 1 2 7 | 8 = 8: 0 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 9 = 9: 0 0 1 3 7 = m add b9, all-int | 9 = 9: 0 0 1 4 7 = M add b9 | 8 = 8: 0 0 2 4 7 = add9 , Mu chord | 8 = 8: 0 0 3 4 8 = aug. add #9 | 0 = 0: 0 6/9 chord no 5th (Scale Degrees: 1236) 0 3 4 9 | 0 = 0: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 11 = Mm7b9 no 5th | 9 = 9: 0 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 0 = 0: 0 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 3 = 3: 0 0 1 6 7 | 3 9 = 3: 0 6 = 9: 0 6 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 8 = 8: 0 0 1 7 9 = all-int | 3 = 3: 0 0 2 7 8 | 8 = 8: 0 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd | 9 = 9: 0 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 2 10 11 | 10 = 10: 0 Add 11 Chords (Scale Degrees: 1345) 0 3 6 7 = m add #11 | 9 = 9: 0 0 4 5 6 = Mb5 add 11 | 4 = 4: 0 11th chords no 5th no 9th (Scale Degrees: 1347) 0 4 5 11 | 4 = 4: 0 6th Chords (Scale Degrees: 1356) 0 4 7 8 = Mb6 | 8 = 8: 0 7th Chords (Scale Degrees: 1357) 0 3 6 11 = mM7b5, dim. maj. 7th chord | 9 = 9: 0 0 3 7 11 = mM7 | 9 = 9: 0 0 4 6 11 = M7b5 | 4 = 4: 0 0 4 8 10 = 7#5 | 0 = 0: 0 0 4 8 11 = M7#5 | 4 = 4: 0 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 0 = 0: 0 0 4 9 10 = 7/6 no 5th, all-int | 0 = 0: 0 Scale Degrees: 1445 0 5 6 7 = dream chord | 3 = 3: 0 Scale Degrees: 1456 0 5 7 9 | 3 = 3: 0 0 6 7 9 | 3 = 3: 0 Sus 4 7th Chords (Scale Degrees: 1457) 0 6 7 11 = M7sus#4 | 9 = 9: 0 Scale Degrees: 1467 0 5 10 11 | 10 = 10: 0 Scale Degrees: 12235 0 1 2 4 7 | 8 = 8: 0 0 1 2 4 8 | 8 = 8: 0 Scale Degrees: 12256 0 1 2 7 8 | 8 = 8: 0 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 6 7 | 9 = 9: 0 6/9 chords (Scale Degrees: 12356) 0 1 4 7 8 = Bridge chord | 8 = 8: 0 0 2 4 7 8 | 8 = 8: 0 9th chords (Scale Degrees: 12357) 0 1 3 6 11 = mM7b5b9 | 9 = 9: 0 0 1 3 7 11 = mM7b9 | 9 = 9: 0 0 3 4 8 10 = 7#5#9 | 0 = 0: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 3 4 9 10 = 13#9 no 5th no 11th | 0 = 0: 0 Scale Degrees: 12445 0 1 5 6 7 | 3 = 3: 0 Scale Degrees: 12456 0 1 5 7 9 | 3 = 3: 0 0 1 6 7 9 | 3 = 3: 0 11th chords no 3rd (Scale Degrees: 12457) 0 1 6 7 11 | 9 = 9: 0 Scale Degrees: 13456 0 4 5 6 8 | 4 = 4: 0 11th Chords no 9th (Scale Degrees: 13457) 0 3 6 7 11 = mM7#11 no 9th, batti min. 4/7# | 9 = 9: 0 7/6 Chords (Scale Degrees: 13567) 0 4 8 9 10 = 7#5/6 | 0 = 0: 0 Scale Degrees: 122356 0 1 2 4 7 8 = all-tri hex | 8 = 8: 0 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 3 6 7 11 = mM#11b9, all-tri hex | 9 = 9: 0 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 3 4 8 9 10 = M#13#5#9 no 11th, all-tri hex | 0 = 0: 0 Parallel Subsets Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 3 4 8 9 10 0 2 8 10 10:0 10 0 8 10 8:0 2 4 3 4 9 10 17 0 3 4 8 9 10 0 10 0 10 0:0 10 0 8 10 8:0 2 4 3 4 9 10 17 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 3 4 8 9 10 0 3 0 9 9:0 3 0 3 9 0:0 3 9 4 8 10 0 23 0 3 4 8 9 10 0 9 0 3 0:0 3 0 3 9 0:0 3 9 4 8 10 0 23 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 3 4 8 9 10 0 4 0 4 8 0:0 4 8 0 4 8 0:0 4 8 3 9 10 0 4 8 26 0 3 4 8 9 10 0 8 0 4 8 0:0 4 8 0 4 8 0:0 4 8 3 9 10 0 4 8 26 0 3 4 8 9 10 0 4 8 0 4 8 0:0 4 8 0 4 8 0:0 4 8 3 9 10 0 4 8 26 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 3 4 8 9 10 0 6 3 4 9 10 3:0 1 6 7 3 4 9 10 3:0 1 6 7 0 8 3 4 9 10 53 0 3 4 8 9 10 0 6 7 3 9 3:0 6 3 4 9 10 3:0 1 6 7 0 8 3 9 53 0 3 4 8 9 10 0 1 6 7 3 9 3:0 6 3 4 9 10 3:0 1 6 7 0 8 3 4 9 10 53 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 3 4 8 9 10 0 1 3 8 9 8:0 1 7 3 4 8 9 10 9:0 1 6 7 11 0 9 92 0 3 4 8 9 10 0 5 3 4 10 3:0 1 7 3 4 8 9 10 9:0 1 6 7 11 0 3 92 0 3 4 8 9 10 0 7 3 8 9 8:0 1 7 3 4 8 9 10 9:0 1 6 7 11 0 3 92 0 3 4 8 9 10 0 11 4 9 10 9:0 1 7 3 4 8 9 10 9:0 1 6 7 11 0 9 92 0 3 4 8 9 10 0 1 7 3 8 9 8:0 1 7 3 4 8 9 10 9:0 1 6 7 11 0 3 4 9 10 92 Supersets By Chord Type Chord Type Roots Scale Degrees: 122356 0 1 2 4 7 8 = all-tri hex | 4 = 4: 0 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 3 6 7 11 = mM#11b9, all-tri hex | 3 = 3: 0 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 3 4 8 9 10 = M#13#5#9 no 11th, all-tri hex | 0 = 0: 0 Scale Degrees: 1223356 0 1 2 3 4 7 8 | 4 = 4: 0 Scale Degrees: 1223456 0 1 2 4 5 7 8 | 4 = 4: 0 0 1 2 4 6 7 8 | 4 = 4: 0 Scale Degrees: 1223457 0 1 2 3 6 7 11 | 3 = 3: 0 0 1 3 4 6 7 11 | 3 = 3: 0 Scale Degrees: 1223566 0 1 2 4 7 8 9 | 4 = 4: 0 Scale Degrees: 1223567 0 1 2 4 7 8 10 | 4 = 4: 0 0 1 2 4 7 8 11 | 4 = 4: 0 Scale Degrees: 1224567 0 1 2 6 7 8 10 = Jalarnavam | 10 = 10: 0 Scale Degrees: 1234456 0 1 4 5 6 7 9 | 9 = 9: 0 Scale Degrees: 1234457 0 1 3 5 6 7 11 | 3 = 3: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 6 7 8 11 = mMb13b9#11, Shubhapantuvarali, todi | 3 = 3: 0 0 1 3 6 7 9 11 = mM13b9#11, Suvarnangi | 3 = 3: 0 0 1 3 6 7 10 11 = mM#13b9#11, Divyamani | 3 = 3: 0 0 1 4 5 6 8 11 = M7b13#5b9#11, Persian | 8 = 8: 0 0 2 3 5 6 10 11 = mM#13 | 2 = 2: 0 0 2 4 5 6 8 11 = M7b13b5 | 8 = 8: 0 0 2 4 5 6 10 11 = M#13b5 | 2 = 2: 0 0 3 4 5 6 8 11 = M7b13b5#9 | 8 = 8: 0 0 3 4 5 7 10 11 = M#13#9, Chalanata | 7 = 7: 0 0 3 4 5 8 9 10 = 13#5#9 | 0 = 0: 0 0 3 4 6 8 9 10 = 13#5#9 | 0 = 0: 0 Scale Degrees: 1235667 0 2 3 7 8 9 11 | 11 = 11: 0 0 3 4 7 8 9 10 | 0 = 0: 0 0 3 4 8 9 10 11 | 0 = 0: 0 Scale Degrees: 1244567 0 2 5 6 7 10 11 | 2 = 2: 0 Scale Degrees: 1344567 0 4 5 6 7 8 11 | 8 = 8: 0 Scale Degrees: 12223456 0 1 2 3 4 5 7 8 | 4 = 4: 0 0 1 2 3 4 6 7 8 | 4 = 4: 0 Scale Degrees: 12223457 0 1 2 3 4 6 7 11 | 3 = 3: 0 Scale Degrees: 12223566 0 1 2 3 4 7 8 9 | 4 = 4: 0 Scale Degrees: 12223567 0 1 2 3 4 7 8 10 | 4 = 4: 0 0 1 2 3 4 7 8 11 | 4 = 4: 0 Scale Degrees: 12234456 0 1 2 3 5 6 7 9 | 9 = 9: 0 0 1 2 4 5 6 7 8 | 4 = 4: 0 0 1 2 4 5 6 7 9 | 9 = 9: 0 0 1 3 4 5 6 7 9 | 9 = 9: 0 Scale Degrees: 12234457 0 1 2 3 5 6 7 11 | 3 = 3: 0 0 1 3 4 5 6 7 11 | 3 = 3: 0 Scale Degrees: 12234566 0 1 2 3 5 7 8 9 | 5 = 5: 0 0 1 2 4 5 7 8 9 | 4 = 4: 0 0 1 2 4 6 7 8 9 | 4 = 4: 0 diamorphic with supplementary 2nd (Scale Degrees: 12234567) 0 1 2 3 6 7 8 10 | 10 = 10: 0 0 1 2 3 6 7 8 11 | 3 = 3: 0 0 1 2 3 6 7 9 11 | 3 = 3: 0 0 1 2 3 6 7 10 11 | 3 = 3: 0 0 1 2 4 5 7 8 10 | 4 = 4: 0 0 1 2 4 5 7 8 11 | 4 = 4: 0 0 1 2 4 6 7 8 10 | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 4 6 7 8 11 | 4 = 4: 0 0 1 3 4 5 7 10 11 | 7 = 7: 0 0 1 3 4 6 7 8 11 | 3 = 3: 0 0 1 3 4 6 7 9 11 | 3 = 3: 0 0 1 3 4 6 7 10 11 | 3 = 3: 0 0 2 3 4 5 6 9 10 | 6 = 6: 0 0 2 3 4 5 6 10 11 | 2 = 2: 0 0 2 3 4 5 7 10 11 | 7 = 7: 0 0 2 3 4 6 7 9 10 | 6 = 6: 0 Scale Degrees: 12234667 0 1 3 4 5 9 10 11 | 1 = 1: 0 Scale Degrees: 12235667 0 1 2 3 7 8 9 11 | 11 = 11: 0 0 1 2 4 7 8 9 10 | 4 = 4: 0 0 1 2 4 7 8 9 11 | 4 = 4: 0 0 1 2 4 7 8 10 11 | 4 = 4: 0 0 1 3 4 7 8 9 10 = ultraphrygian | 0 = 0: 0 0 1 3 4 8 9 10 11 | 0 = 0: 0 0 2 3 4 6 9 10 11 | 6 = 6: 0 0 2 3 4 7 8 9 10 | 0 = 0: 0 0 2 3 4 7 8 9 11 | 11 = 11: 0 0 2 3 4 8 9 10 11 | 0 = 0: 0 Scale Degrees: 12244566 0 1 2 5 6 7 8 9 | 9 = 9: 0 Scale Degrees: 12244567 0 1 2 5 6 7 8 10 | 10 = 10: 0 0 1 2 5 6 7 9 11 | 9 = 9: 0 0 1 2 5 6 7 10 11 | 2 = 2: 0 Scale Degrees: 12245667 0 1 2 6 7 8 10 11 | 10 = 10: 0 0 1 2 6 7 8 9 10 | 10 = 10: 0 Scale Degrees: 12344566 0 1 3 5 6 7 8 9 | 9 = 9: 0 diamorphic with supplementary 4th (Scale Degrees: 12344567) 0 1 3 5 6 7 8 11 | 3 = 3: 0 0 1 3 5 6 7 9 10 | 9 = 9: 0 0 1 3 5 6 7 9 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 3 5 6 7 10 11 | 3 = 3: 0 0 1 4 5 6 7 8 9 | 9 = 9: 0 0 1 4 5 6 7 8 11 | 8 = 8: 0 0 1 4 5 6 7 9 10 | 9 = 9: 0 0 1 4 5 6 7 9 11 | 9 = 9: 0 0 1 4 5 6 8 10 11 = Persian | 8 = 8: 0 0 2 3 5 6 7 10 11 = 2367AB & min. pentat. | 2 = 2: 0 0 2 4 5 6 7 8 11 | 8 = 8: 0 0 2 4 5 6 7 10 11 | 2 = 2: 0 0 3 4 5 6 7 8 11 | 8 = 8: 0 0 3 4 5 6 7 10 11 | 7 = 7: 0 diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 3 6 7 8 9 11 | 3 = 3: 0 0 1 3 6 7 8 10 11 | 3 = 3: 0 0 1 3 6 7 9 10 11 | 3 = 3: 0 0 1 4 5 7 9 10 11 | 1 = 1: 0 0 2 3 5 7 8 9 11 = Bebop mel. min. | 11 = 11: 0 0 2 3 6 7 8 9 11 | 11 = 11: 0 0 2 4 5 6 9 10 11 | 2 = 2: 0 0 3 4 5 7 8 9 10 = Yagapriya | 0 = 0: 0 0 3 4 5 7 8 10 11 | 7 = 7: 0 0 3 4 5 7 9 10 11 | 7 = 7: 0 0 3 4 6 7 8 9 10 | 0 = 0: 0 Scale Degrees: 12356677 0 2 3 7 8 9 10 11 | 11 = 11: 0 0 3 4 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 12445667 0 1 5 6 7 9 10 11 | 9 = 9: 0 0 2 5 6 7 8 10 11 | 2 = 2: 0 0 2 5 6 7 9 10 11 | 2 = 2: 0 Scale Degrees: 13445667 0 4 5 6 7 8 10 11 | 8 = 8: 0 Scale Degrees: 122334456 0 1 2 3 4 5 6 7 8 = 1st 9chromatics | 4 = 4: 0 0 1 2 3 4 5 6 7 9 | 9 = 9: 0 Scale Degrees: 122334457 0 1 2 3 4 5 6 7 11 | 3 = 3: 0 Scale Degrees: 122334566 0 1 2 3 4 5 7 8 9 | 4 5 = 4: 0 1 = 5: 0 11 0 1 2 3 4 6 7 8 9 | 4 = 4: 0 diamorphic with supplementary 2nd, 3rd (Scale Degrees: 122334567) 0 1 2 3 4 5 6 9 10 | 6 = 6: 0 0 1 2 3 4 5 7 8 10 | 4 = 4: 0 0 1 2 3 4 5 7 8 11 | 4 = 4: 0 0 1 2 3 4 5 7 10 11 | 7 = 7: 0 0 1 2 3 4 6 7 8 10 | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 3 4 6 7 8 11 | 3 4 = 3: 0 1 = 4: 0 11 0 1 2 3 4 6 7 9 10 | 6 = 6: 0 0 1 2 3 4 6 7 9 11 | 3 = 3: 0 0 1 2 3 4 6 7 10 11 | 3 = 3: 0 Scale Degrees: 122335667 0 1 2 3 4 7 8 9 10 | 0 4 = 0: 0 4 = 4: 0 8 0 1 2 3 4 7 8 9 11 | 4 11 = 4: 0 7 = 11: 0 5 0 1 2 3 4 7 8 10 11 | 4 = 4: 0 Scale Degrees: 122344566 0 1 2 3 5 6 7 8 9 | 5 9 = 5: 0 4 = 9: 0 8 0 1 2 4 5 6 7 8 9 | 4 9 = 4: 0 5 = 9: 0 7 diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 1 2 3 5 6 7 8 10 | 10 = 10: 0 0 1 2 3 5 6 7 8 11 | 3 = 3: 0 0 1 2 3 5 6 7 9 10 = 12569A & m7, 12569A & min. pentat. | 9 = 9: 0 0 1 2 3 5 6 7 9 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 2 3 5 6 7 10 11 | 2 3 = 2: 0 1 = 3: 0 11 0 1 2 3 5 6 8 9 11 | 5 = 5: 0 0 1 2 4 5 6 7 8 10 | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 4 5 6 7 8 11 | 4 8 = 4: 0 4 = 8: 0 8 0 1 2 4 5 6 7 9 10 = 12569A & dom. 7 | 9 = 9: 0 0 1 2 4 5 6 7 9 11 | 9 = 9: 0 0 1 2 4 5 6 7 10 11 | 2 = 2: 0 0 1 3 4 5 6 7 8 11 | 3 8 = 3: 0 5 = 8: 0 7 0 1 3 4 5 6 7 9 10 | 9 = 9: 0 0 1 3 4 5 6 7 9 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 3 4 5 6 7 10 11 | 3 7 = 3: 0 4 = 7: 0 8 0 2 3 4 5 6 7 8 11 | 8 = 8: 0 0 2 3 4 5 6 7 9 10 | 6 = 6: 0 0 2 3 4 5 6 7 10 11 | 2 7 = 2: 0 5 = 7: 0 7 diamorphic with supplementary 2nd, 6th (Scale Degrees: 122345667) 0 1 2 3 5 7 8 9 10 = phrygidorian | 5 = 5: 0 0 1 2 3 5 7 8 9 11 | 5 11 = 5: 0 6 = 11: 0 6 0 1 2 3 6 7 8 9 10 | 10 = 10: 0 0 1 2 3 6 7 8 9 11 | 3 11 = 3: 0 8 = 11: 0 4 0 1 2 3 6 7 8 10 11 | 3 10 = 3: 0 7 = 10: 0 5 0 1 2 3 6 7 9 10 11 | 3 = 3: 0 0 1 2 4 5 7 8 9 10 | 4 = 4: 0 0 1 2 4 5 7 8 9 11 | 4 = 4: 0 0 1 2 4 5 7 8 10 11 | 4 = 4: 0 0 1 2 4 5 7 9 10 11 | 1 = 1: 0 0 1 2 4 6 7 8 9 10 | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 4 6 7 8 9 11 = 9 in 5ths | 4 = 4: 0 0 1 2 4 6 7 8 10 11 | 4 10 = 4: 0 6 = 10: 0 6 0 1 3 4 5 7 8 9 10 = 014589 & min. pentat. | 0 = 0: 0 0 1 3 4 5 7 8 10 11 = phrygian & aug. scale | 7 = 7: 0 0 1 3 4 5 7 9 10 11 | 1 7 = 1: 0 6 = 7: 0 6 0 1 3 4 6 7 8 9 10 | 0 = 0: 0 0 1 3 4 6 7 8 9 11 | 3 = 3: 0 0 1 3 4 6 7 8 10 11 | 3 = 3: 0 0 1 3 4 6 7 9 10 11 | 3 = 3: 0 0 2 3 4 5 6 9 10 11 | 2 6 = 2: 0 4 = 6: 0 8 0 2 3 4 5 7 8 9 10 = mixaeolean | 0 = 0: 0 0 2 3 4 5 7 8 9 11 = ionian & harm. min. | 11 = 11: 0 0 2 3 4 5 7 8 10 11 = aeolean & aug. scale, 03478B & bebop min. | 7 = 7: 0 0 2 3 4 5 7 9 10 11 = iodorian, mixolydian & mel. min. | 7 = 7: 0 0 2 3 4 6 7 8 9 10 | 0 6 = 0: 0 6 = 6: 0 6 0 2 3 4 6 7 8 9 11 = lydian & aug. scale | 11 = 11: 0 0 2 3 4 6 7 9 10 11 | 6 = 6: 0 Scale Degrees: 122356677 0 1 3 4 7 8 9 10 11 | 0 = 0: 0 0 2 3 4 7 8 9 10 11 | 0 11 = 0: 0 11 = 11: 0 1 Scale Degrees: 122456677 0 1 2 6 7 8 9 10 11 | 10 = 10: 0 Scale Degrees: 123356677 0 1 2 3 7 8 9 10 11 | 11 = 11: 0 0 1 2 4 7 8 9 10 11 | 4 = 4: 0 diamorphic with supplementary 4th, 6th (Scale Degrees: 123445667) 0 1 3 5 6 7 8 9 10 | 9 = 9: 0 0 1 3 5 6 7 8 9 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 4 5 6 7 8 9 10 | 9 = 9: 0 0 1 4 5 6 7 8 9 11 | 8 9 = 8: 0 1 = 9: 0 11 0 2 3 5 6 7 8 9 11 | 11 = 11: 0 0 2 3 5 6 8 9 10 11 | 2 = 2: 0 0 2 4 5 6 7 8 9 11 | 8 = 8: 0 diamorphic with supplementary 4th, 7th (Scale Degrees: 123445677) 0 1 3 5 6 7 9 10 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 4 5 6 7 8 10 11 | 8 = 8: 0 0 1 4 5 6 7 9 10 11 | 1 9 = 1: 0 8 = 9: 0 4 0 2 3 5 6 7 8 10 11 = 2367AB & bebop min. | 2 = 2: 0 0 2 3 5 6 7 9 10 11 = 2367AB & mel. min. | 2 = 2: 0 0 2 4 5 6 7 8 10 11 | 2 8 = 2: 0 6 = 8: 0 6 0 2 4 5 6 7 9 10 11 = lydiomixlydian, full ryo | 2 = 2: 0 0 3 4 5 6 7 8 9 10 | 0 = 0: 0 0 3 4 5 6 7 8 9 11 | 8 = 8: 0 0 3 4 5 6 7 8 10 11 | 7 8 = 7: 0 1 = 8: 0 11 0 3 4 5 6 7 9 10 11 | 7 = 7: 0 diamorphic with supplementary 6th, 7th (Scale Degrees: 123456677) 0 1 3 6 7 8 9 10 11 | 3 = 3: 0 0 1 4 5 7 8 9 10 11 | 1 = 1: 0 0 2 3 5 7 8 9 10 11 = dorian & harm. min., aeolean & mel. min. | 11 = 11: 0 0 2 3 6 7 8 9 10 11 | 11 = 11: 0 0 3 4 5 7 8 9 10 11 | 0 7 = 0: 0 7 = 7: 0 5 0 3 4 6 7 8 9 10 11 | 0 = 0: 0 Scale Degrees: 134456677 0 4 5 6 7 8 9 10 11 | 8 = 8: 0 chromatic decachord (Scale Degrees: 1223344566) 0 1 2 3 4 5 6 7 8 9 = 1st 10 chromatics | 4 5 9 = 4: 0 1 5 = 5: 0 4 11 = 9: 0 7 8 diamorphic with supplementary 2nd, 3rd, 4th (Scale Degrees: 1223344567) 0 1 2 3 4 5 6 7 8 10 = whole tone & phrygian | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 3 4 5 6 7 8 11 | 3 4 8 = 3: 0 1 5 = 4: 0 4 11 = 8: 0 7 8 0 1 2 3 4 5 6 7 9 10 = auxdim. scale & dorian | 6 9 = 6: 0 3 = 9: 0 9 0 1 2 3 4 5 6 7 9 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 2 3 4 5 6 7 10 11 | 2 3 7 = 2: 0 1 5 = 3: 0 4 11 = 7: 0 7 8 diamorphic with supplementary 2nd, 3rd, 6th (Scale Degrees: 1223345667) 0 1 2 3 4 5 6 8 9 10 | 0 5 6 = 0: 0 5 6 = 5: 0 1 7 = 6: 0 6 11 0 1 2 3 4 5 6 8 9 11 | 5 8 = 5: 0 3 = 8: 0 9 0 1 2 3 4 5 6 8 10 11 | 2 8 = 2: 0 6 = 8: 0 6 0 1 2 3 4 5 6 9 10 11 | 1 2 6 = 1: 0 1 5 = 2: 0 4 11 = 6: 0 7 8 0 1 2 3 4 5 7 8 9 10 = mixophrygian | 0 4 5 = 0: 0 4 5 = 4: 0 1 8 = 5: 0 7 11 0 1 2 3 4 5 7 8 9 11 = 014589 & mel. min. | 4 5 11 = 4: 0 1 7 = 5: 0 6 11 = 11: 0 5 6 0 1 2 3 4 5 7 8 10 11 | 4 7 = 4: 0 3 = 7: 0 9 0 1 2 3 4 5 7 9 10 11 | 1 7 = 1: 0 6 = 7: 0 6 0 1 2 3 4 5 8 9 10 11 | 0 1 5 = 0: 0 1 5 = 1: 0 4 11 = 5: 0 7 8 0 1 2 3 4 6 7 8 9 10 | 0 4 6 10 = 0: 0 4 6 10 = 4: 0 2 6 8 = 6: 0 4 6 10 = 10: 0 2 6 8 0 1 2 3 4 6 7 8 9 11 = 10 in 5ths | 3 4 11 = 3: 0 1 8 = 4: 0 7 11 = 11: 0 4 5 0 1 2 3 4 6 7 8 10 11 | 3 4 10 = 3: 0 1 7 = 4: 0 6 11 = 10: 0 5 6 0 1 2 3 4 6 7 9 10 11 = auxdim. scale & lydian | 3 6 = 3: 0 3 = 6: 0 9 0 1 2 3 4 6 8 9 10 11 | 0 6 = 0: 0 6 = 6: 0 6 Scale Degrees: 1223356667 0 1 2 3 4 7 8 9 10 11 | 0 4 11 = 0: 0 4 11 = 4: 0 7 8 = 11: 0 1 5 diamorphic with supplementary 2nd, 4th, 6th (Scale Degrees: 1223445667) 0 1 2 3 5 6 7 8 9 10 = locridorian | 5 9 10 = 5: 0 4 5 = 9: 0 1 8 = 10: 0 7 11 0 1 2 3 5 6 7 8 9 11 | 3 5 9 11 = 3: 0 2 6 8 = 5: 0 4 6 10 = 9: 0 2 6 8 = 11: 0 4 6 10 0 1 2 3 5 6 7 8 10 11 = locrian & harm. min. | 2 3 10 = 2: 0 1 8 = 3: 0 7 11 = 10: 0 4 5 0 1 2 3 5 6 7 9 10 11 = 12569A & mel. min. | 2 3 9 = 2: 0 1 7 = 3: 0 6 11 = 9: 0 5 6 0 1 2 3 5 6 8 9 10 11 = dim. scale & locrian | 2 5 = 2: 0 3 = 5: 0 9 0 1 2 4 5 6 7 8 9 10 | 4 9 10 = 4: 0 5 6 = 9: 0 1 7 = 10: 0 6 11 0 1 2 4 5 6 7 8 9 11 | 4 8 9 = 4: 0 4 5 = 8: 0 1 8 = 9: 0 7 11 0 1 2 4 5 6 7 8 10 11 | 2 4 8 10 = 2: 0 2 6 8 = 4: 0 4 6 10 = 8: 0 2 6 8 = 10: 0 4 6 10 0 1 2 4 5 6 7 9 10 11 = 12569A & bebop maj. | 1 2 9 = 1: 0 1 8 = 2: 0 7 11 = 9: 0 4 5 0 1 2 4 5 6 8 9 10 11 | 1 2 8 = 1: 0 1 7 = 2: 0 6 11 = 8: 0 5 6 0 1 3 4 5 6 7 8 9 10 = auxdim. scale & phrygian, 014589 & auxdim. scale | 0 9 = 0: 0 9 = 9: 0 3 0 1 3 4 5 6 7 8 9 11 | 3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11 0 1 3 4 5 6 7 8 10 11 = locrian & aug. scale | 3 7 8 = 3: 0 4 5 = 7: 0 1 8 = 8: 0 7 11 0 1 3 4 5 6 7 9 10 11 | 1 3 7 9 = 1: 0 2 6 8 = 3: 0 4 6 10 = 7: 0 2 6 8 = 9: 0 4 6 10 0 2 3 4 5 6 7 8 9 10 | 0 6 = 0: 0 6 = 6: 0 6 0 2 3 4 5 6 7 8 9 11 = lydian & harm. min. | 8 11 = 8: 0 3 = 11: 0 9 0 2 3 4 5 6 7 8 10 11 | 2 7 8 = 2: 0 5 6 = 7: 0 1 7 = 8: 0 6 11 0 2 3 4 5 6 7 9 10 11 = dorelydian, 2367AB & bebop maj. | 2 6 7 = 2: 0 4 5 = 6: 0 1 8 = 7: 0 7 11 0 2 3 4 5 6 8 9 10 11 | 0 2 6 8 = 0: 0 2 6 8 = 2: 0 4 6 10 = 6: 0 2 6 8 = 8: 0 4 6 10 diamorphic with supplementary 2nd, 6th, 7th (Scale Degrees: 1223456677) 0 1 2 3 5 7 8 9 10 11 = phrygian & mel. min. | 5 11 = 5: 0 6 = 11: 0 6 0 1 2 3 6 7 8 9 10 11 | 3 10 11 = 3: 0 7 8 = 10: 0 1 5 = 11: 0 4 11 0 1 2 4 5 7 8 9 10 11 = 014589 & bebop maj., Span. Gypsy & ionian | 1 4 = 1: 0 3 = 4: 0 9 0 1 2 4 6 7 8 9 10 11 | 4 10 = 4: 0 6 = 10: 0 6 0 1 3 4 5 6 8 9 10 11 = 10 in 4ths | 0 1 8 = 0: 0 1 8 = 1: 0 7 11 = 8: 0 4 5 0 1 3 4 5 7 8 9 10 11 | 0 1 7 = 0: 0 1 7 = 1: 0 6 11 = 7: 0 5 6 0 1 3 4 6 7 8 9 10 11 = 03478B & auxdim. scale | 0 3 = 0: 0 3 = 3: 0 9 0 2 3 4 5 7 8 9 10 11 = ioaeolean, mixolydian & harm. min. | 0 7 11 = 0: 0 7 11 = 7: 0 4 5 = 11: 0 1 8 0 2 3 4 6 7 8 9 10 11 | 0 6 11 = 0: 0 6 11 = 6: 0 5 6 = 11: 0 1 7 Scale Degrees: 1224456677 0 1 2 5 6 7 8 9 10 11 | 2 9 10 = 2: 0 7 8 = 9: 0 1 5 = 10: 0 4 11 diamorphic with supplementary 4th, 6th, 7th (Scale Degrees: 1234456677) 0 1 3 5 6 7 8 9 10 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 4 5 6 7 8 9 10 11 | 1 8 9 = 1: 0 7 8 = 8: 0 1 5 = 9: 0 4 11 0 2 3 5 6 7 8 9 10 11 = dim. scale & dorian | 2 11 = 2: 0 9 = 11: 0 3 0 2 4 5 6 7 8 9 10 11 = whole tone & ionian | 2 8 = 2: 0 6 = 8: 0 6 0 3 4 5 6 7 8 9 10 11 | 0 7 8 = 0: 0 7 8 = 7: 0 1 5 = 8: 0 4 11 chromatic unidecachord = diamorphic with supplementary 2nd, 3rd, 4th, 6th (Scale Degrees: 12233445667) 0 1 2 3 4 5 6 7 8 9 10 = mixolocrian, 1st 11 chromatics | 0 4 5 6 9 10 = 0: 0 4 5 6 9 10 = 4: 0 1 2 5 6 8 = 5: 0 1 4 5 7 11 = 6: 0 3 4 6 10 11 = 9: 0 1 3 7 8 9 = 10: 0 2 6 7 8 11 0 1 2 3 4 5 6 7 8 9 11 | 3 4 5 8 9 11 = 3: 0 1 2 5 6 8 = 4: 0 1 4 5 7 11 = 5: 0 3 4 6 10 11 = 8: 0 1 3 7 8 9 = 9: 0 2 6 7 8 11 = 11: 0 4 5 6 9 10 0 1 2 3 4 5 6 7 8 10 11 | 2 3 4 7 8 10 = 2: 0 1 2 5 6 8 = 3: 0 1 4 5 7 11 = 4: 0 3 4 6 10 11 = 7: 0 1 3 7 8 9 = 8: 0 2 6 7 8 11 = 10: 0 4 5 6 9 10 0 1 2 3 4 5 6 7 9 10 11 = auxdim. scale & ionian | 1 2 3 6 7 9 = 1: 0 1 2 5 6 8 = 2: 0 1 4 5 7 11 = 3: 0 3 4 6 10 11 = 6: 0 1 3 7 8 9 = 7: 0 2 6 7 8 11 = 9: 0 4 5 6 9 10 diamorphic with supplementary 2nd, 3rd, 6th, 7th (Scale Degrees: 12233456677) 0 1 2 3 4 5 6 8 9 10 11 = 11 in 4ths | 0 1 2 5 6 8 = 0: 0 1 2 5 6 8 = 1: 0 1 4 5 7 11 = 2: 0 3 4 6 10 11 = 5: 0 1 3 7 8 9 = 6: 0 2 6 7 8 11 = 8: 0 4 5 6 9 10 0 1 2 3 4 5 7 8 9 10 11 = iophrygian, Spanish Gypsy & dorian, consonant-11 | 0 1 4 5 7 11 = 0: 0 1 4 5 7 11 = 1: 0 3 4 6 10 11 = 4: 0 1 3 7 8 9 = 5: 0 2 6 7 8 11 = 7: 0 4 5 6 9 10 = 11: 0 1 2 5 6 8 0 1 2 3 4 6 7 8 9 10 11 = 11 in 5ths, most stable 11 chord type | 0 3 4 6 10 11 = 0: 0 3 4 6 10 11 = 3: 0 1 3 7 8 9 = 4: 0 2 6 7 8 11 = 6: 0 4 5 6 9 10 = 10: 0 1 2 5 6 8 = 11: 0 1 4 5 7 11 diamorphic with supplementary 2nd, 4th, 6th, 7th (Scale Degrees: 12234456677) 0 1 2 3 5 6 7 8 9 10 11 = locrian & mel. min., dim. & phrygian | 2 3 5 9 10 11 = 2: 0 1 3 7 8 9 = 3: 0 2 6 7 8 11 = 5: 0 4 5 6 9 10 = 9: 0 1 2 5 6 8 = 10: 0 1 4 5 7 11 = 11: 0 3 4 6 10 11 0 1 2 4 5 6 7 8 9 10 11 = Northern lights chord | 1 2 4 8 9 10 = 1: 0 1 3 7 8 9 = 2: 0 2 6 7 8 11 = 4: 0 4 5 6 9 10 = 8: 0 1 2 5 6 8 = 9: 0 1 4 5 7 11 = 10: 0 3 4 6 10 11 0 1 3 4 5 6 7 8 9 10 11 | 0 1 3 7 8 9 = 0: 0 1 3 7 8 9 = 1: 0 2 6 7 8 11 = 3: 0 4 5 6 9 10 = 7: 0 1 2 5 6 8 = 8: 0 1 4 5 7 11 = 9: 0 3 4 6 10 11 0 2 3 4 5 6 7 8 9 10 11 = aeolydian, whole tone & dorian | 0 2 6 7 8 11 = 0: 0 2 6 7 8 11 = 2: 0 4 5 6 9 10 = 6: 0 1 2 5 6 8 = 7: 0 1 4 5 7 11 = 8: 0 3 4 6 10 11 = 11: 0 1 3 7 8 9 chromatic Scale = diamorphic with supplementary 2nd, 3rd, 4th, 6th, 7th (Scale Degrees: 122334456677) 0 1 2 3 4 5 6 7 8 9 10 11 = chromatic, dodecachord, 12 in 4ths, 12 in 5ths | 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Parallel Supersets Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 4 6 7 8 10 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 '' 1 2 7 8 322 0 1 2 3 4 6 7 8 10 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 3 1 2 7 8 322 0 1 2 4 5 6 7 8 10 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 5 1 2 7 8 322 0 1 2 4 6 7 8 9 10 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 9 1 2 7 8 322 0 1 2 4 6 7 8 10 11 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 11 1 2 7 8 322 0 1 2 3 4 5 6 7 8 10 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 3 5 1 2 7 8 322 0 1 2 4 6 7 8 9 10 11 0 3 4 8 9 10 4 10 4:0 6 0 1 2 4 6 7 8 10 0:0 1 2 4 6 7 8 10 9 11 1 2 7 8 322 0 2 3 4 6 7 8 9 10 0 3 4 8 9 10 0 6 0:0 6 0 2 3 4 6 8 9 10 2:0 1 2 4 6 7 8 10 7 3 4 9 10 322 0 1 2 3 4 6 8 9 10 11 0 3 4 8 9 10 0 6 0:0 6 0 2 3 4 6 8 9 10 2:0 1 2 4 6 7 8 10 1 11 3 4 9 10 322 0 2 3 4 5 6 7 8 9 10 0 3 4 8 9 10 0 6 0:0 6 0 2 3 4 6 8 9 10 2:0 1 2 4 6 7 8 10 5 7 3 4 9 10 322 0 1 3 5 6 7 9 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 '' 0 1 6 7 322 0 1 2 3 5 6 7 9 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 2 0 1 6 7 322 0 1 3 4 5 6 7 9 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 4 0 1 6 7 322 0 1 3 5 6 7 8 9 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 8 0 1 6 7 322 0 1 3 5 6 7 9 10 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 10 0 1 6 7 322 0 1 2 3 4 5 6 7 9 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 2 4 0 1 6 7 322 0 1 3 5 6 7 8 9 10 11 0 3 4 8 9 10 3 9 3:0 6 0 1 3 5 6 7 9 11 5:0 1 2 4 6 7 8 10 8 10 0 1 6 7 322 0 1 2 3 5 7 8 9 11 0 3 4 8 9 10 5 11 5:0 6 1 2 3 5 7 8 9 11 1:0 1 2 4 6 7 8 10 0 2 3 8 9 322 0 1 2 3 5 7 8 9 10 11 0 3 4 8 9 10 5 11 5:0 6 1 2 3 5 7 8 9 11 1:0 1 2 4 6 7 8 10 0 10 2 3 8 9 322 0 2 4 5 6 7 8 10 11 0 3 4 8 9 10 2 8 2:0 6 0 2 4 5 6 8 10 11 4:0 1 2 4 6 7 8 10 7 0 5 6 11 322 0 1 2 3 4 5 6 8 10 11 0 3 4 8 9 10 2 8 2:0 6 0 2 4 5 6 8 10 11 4:0 1 2 4 6 7 8 10 1 3 0 5 6 11 322 0 2 4 5 6 7 8 9 10 11 0 3 4 8 9 10 2 8 2:0 6 0 2 4 5 6 8 10 11 4:0 1 2 4 6 7 8 10 7 9 0 5 6 11 322 0 1 3 4 5 7 9 10 11 0 3 4 8 9 10 1 7 1:0 6 1 3 4 5 7 9 10 11 3:0 1 2 4 6 7 8 10 0 4 5 10 11 322 0 1 2 3 4 5 7 9 10 11 0 3 4 8 9 10 1 7 1:0 6 1 3 4 5 7 9 10 11 3:0 1 2 4 6 7 8 10 0 2 4 5 10 11 322 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 7 8 9 0 3 4 8 9 10 4 5 5:0 11 0 1 2 3 4 5 7 8 9 5:0 2 3 4 7 8 9 10 11 '' 1 2 8 331 0 1 2 3 4 6 7 8 11 0 3 4 8 9 10 3 4 4:0 11 0 1 2 3 4 6 7 8 11 4:0 2 3 4 7 8 9 10 11 '' 0 1 7 331 0 1 4 5 6 7 8 9 11 0 3 4 8 9 10 8 9 9:0 11 0 1 4 5 6 7 8 9 11 9:0 2 3 4 7 8 9 10 11 '' 0 5 6 331 0 1 2 3 5 6 7 10 11 0 3 4 8 9 10 2 3 3:0 11 0 1 2 3 5 6 7 10 11 3:0 2 3 4 7 8 9 10 11 '' 0 6 11 331 0 3 4 5 6 7 8 10 11 0 3 4 8 9 10 7 8 8:0 11 0 3 4 5 6 7 8 10 11 8:0 2 3 4 7 8 9 10 11 '' 4 5 11 331 0 2 3 4 7 8 9 10 11 0 3 4 8 9 10 0 11 0:0 11 0 2 3 4 7 8 9 10 11 0:0 2 3 4 7 8 9 10 11 '' 3 8 9 331 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 4 5 6 7 8 9 0 3 4 8 9 10 4 9 9:0 7 0 1 2 4 5 6 7 8 9 5:0 1 2 3 4 7 8 9 11 '' 0 1 7 334 0 1 3 4 5 6 7 8 11 0 3 4 8 9 10 3 8 8:0 7 0 1 3 4 5 6 7 8 11 4:0 1 2 3 4 7 8 9 11 '' 0 6 11 334 0 1 2 3 4 7 8 9 11 0 3 4 8 9 10 4 11 4:0 7 0 1 2 3 4 7 8 9 11 0:0 1 2 3 4 7 8 9 11 '' 2 7 8 334 0 2 3 4 5 6 7 10 11 0 3 4 8 9 10 2 7 7:0 7 0 2 3 4 5 6 7 10 11 3:0 1 2 3 4 7 8 9 11 '' 5 10 11 334 0 1 2 3 6 7 8 10 11 0 3 4 8 9 10 3 10 3:0 7 0 1 2 3 6 7 8 10 11 11:0 1 2 3 4 7 8 9 11 '' 1 6 7 334 0 3 4 5 7 8 9 10 11 0 3 4 8 9 10 0 7 0:0 7 0 3 4 5 7 8 9 10 11 8:0 1 2 3 4 7 8 9 11 '' 3 4 10 334 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 5 6 7 8 9 0 3 4 8 9 10 5 9 5:0 4 0 1 2 3 5 6 7 8 9 5:0 1 2 3 4 7 8 9 10 '' 1 5 9 339 0 1 2 3 4 7 8 9 10 0 3 4 8 9 10 0 4 0:0 4 0 1 2 3 4 7 8 9 10 0:0 1 2 3 4 7 8 9 10 '' 0 4 8 339 0 1 2 4 5 6 7 8 11 0 3 4 8 9 10 4 8 4:0 4 0 1 2 4 5 6 7 8 11 4:0 1 2 3 4 7 8 9 10 '' 0 4 8 339 0 1 2 3 6 7 8 9 11 0 3 4 8 9 10 3 11 11:0 4 0 1 2 3 6 7 8 9 11 11:0 1 2 3 4 7 8 9 10 '' 3 7 11 339 0 1 3 4 5 6 7 10 11 0 3 4 8 9 10 3 7 3:0 4 0 1 3 4 5 6 7 10 11 3:0 1 2 3 4 7 8 9 10 '' 3 7 11 339 0 2 3 4 5 6 9 10 11 0 3 4 8 9 10 2 6 2:0 4 0 2 3 4 5 6 9 10 11 2:0 1 2 3 4 7 8 9 10 '' 2 6 10 339 0 1 4 5 6 7 9 10 11 0 3 4 8 9 10 1 9 9:0 4 0 1 4 5 6 7 9 10 11 9:0 1 2 3 4 7 8 9 10 '' 1 5 9 339 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 8 9 0 3 4 8 9 10 4 5 9 5:0 4 11 0 1 2 3 4 5 6 7 8 9 5:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 5 7 8 9 344 0 1 2 3 4 5 6 7 8 11 0 3 4 8 9 10 3 4 8 4:0 4 11 0 1 2 3 4 5 6 7 8 11 4:0 1 2 3 4 7 8 9 10 11 '' 0 1 4 6 7 8 11 344 0 1 2 3 4 5 6 7 10 11 0 3 4 8 9 10 2 3 7 3:0 4 11 0 1 2 3 4 5 6 7 10 11 3:0 1 2 3 4 7 8 9 10 11 '' 0 3 5 6 7 10 11 344 0 1 2 3 4 5 6 9 10 11 0 3 4 8 9 10 1 2 6 2:0 4 11 0 1 2 3 4 5 6 9 10 11 2:0 1 2 3 4 7 8 9 10 11 '' 2 4 5 6 9 10 11 344 0 1 2 3 4 5 8 9 10 11 0 3 4 8 9 10 0 1 5 1:0 4 11 0 1 2 3 4 5 8 9 10 11 1:0 1 2 3 4 7 8 9 10 11 '' 1 3 4 5 8 9 10 344 0 1 2 3 4 7 8 9 10 11 0 3 4 8 9 10 0 4 11 0:0 4 11 0 1 2 3 4 7 8 9 10 11 0:0 1 2 3 4 7 8 9 10 11 '' 0 2 3 4 7 8 9 344 0 1 2 3 6 7 8 9 10 11 0 3 4 8 9 10 3 10 11 11:0 4 11 0 1 2 3 6 7 8 9 10 11 11:0 1 2 3 4 7 8 9 10 11 '' 1 2 3 6 7 8 11 344 0 1 2 5 6 7 8 9 10 11 0 3 4 8 9 10 2 9 10 10:0 4 11 0 1 2 5 6 7 8 9 10 11 10:0 1 2 3 4 7 8 9 10 11 '' 0 1 2 5 6 7 10 344 0 1 4 5 6 7 8 9 10 11 0 3 4 8 9 10 1 8 9 9:0 4 11 0 1 4 5 6 7 8 9 10 11 9:0 1 2 3 4 7 8 9 10 11 '' 0 1 4 5 6 9 11 344 0 3 4 5 6 7 8 9 10 11 0 3 4 8 9 10 0 7 8 8:0 4 11 0 3 4 5 6 7 8 9 10 11 8:0 1 2 3 4 7 8 9 10 11 '' 0 3 4 5 8 10 11 344 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 9 10 0 3 4 8 9 10 6 9 6:0 3 0 1 2 3 4 5 6 7 9 10 3:0 1 2 3 4 6 7 9 10 11 '' 6 9 346 0 1 3 4 5 6 7 8 9 10 0 3 4 8 9 10 0 9 9:0 3 0 1 3 4 5 6 7 8 9 10 6:0 1 2 3 4 6 7 9 10 11 '' 0 9 346 0 1 2 3 4 5 6 8 9 11 0 3 4 8 9 10 5 8 5:0 3 0 1 2 3 4 5 6 8 9 11 2:0 1 2 3 4 6 7 9 10 11 '' 5 8 346 0 2 3 4 5 6 7 8 9 11 0 3 4 8 9 10 8 11 8:0 3 0 2 3 4 5 6 7 8 9 11 5:0 1 2 3 4 6 7 9 10 11 '' 8 11 346 0 1 2 3 4 5 7 8 10 11 0 3 4 8 9 10 4 7 4:0 3 0 1 2 3 4 5 7 8 10 11 1:0 1 2 3 4 6 7 9 10 11 '' 4 7 346 0 1 2 3 4 6 7 9 10 11 0 3 4 8 9 10 3 6 3:0 3 0 1 2 3 4 6 7 9 10 11 0:0 1 2 3 4 6 7 9 10 11 '' 3 6 346 0 1 2 3 5 6 8 9 10 11 0 3 4 8 9 10 2 5 2:0 3 0 1 2 3 5 6 8 9 10 11 11:0 1 2 3 4 6 7 9 10 11 '' 2 5 346 0 1 2 4 5 7 8 9 10 11 0 3 4 8 9 10 1 4 1:0 3 0 1 2 4 5 7 8 9 10 11 10:0 1 2 3 4 6 7 9 10 11 '' 1 4 346 0 1 3 4 6 7 8 9 10 11 0 3 4 8 9 10 0 3 0:0 3 0 1 3 4 6 7 8 9 10 11 9:0 1 2 3 4 6 7 9 10 11 '' 0 3 346 0 2 3 5 6 7 8 9 10 11 0 3 4 8 9 10 2 11 11:0 3 0 2 3 5 6 7 8 9 10 11 8:0 1 2 3 4 6 7 9 10 11 '' 2 11 346 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 8 9 10 0 3 4 8 9 10 0 5 6 5:0 1 7 0 1 2 3 4 5 6 8 9 10 2:0 1 2 3 4 6 7 8 10 11 '' 2 3 4 8 9 10 347 0 1 2 4 5 6 7 8 9 10 0 3 4 8 9 10 4 9 10 9:0 1 7 0 1 2 4 5 6 7 8 9 10 6:0 1 2 3 4 6 7 8 10 11 '' 0 1 2 6 7 8 347 0 1 2 3 4 5 7 8 9 11 0 3 4 8 9 10 4 5 11 4:0 1 7 0 1 2 3 4 5 7 8 9 11 1:0 1 2 3 4 6 7 8 10 11 '' 1 2 3 7 8 9 347 0 1 3 4 5 6 7 8 9 11 0 3 4 8 9 10 3 8 9 8:0 1 7 0 1 3 4 5 6 7 8 9 11 5:0 1 2 3 4 6 7 8 10 11 '' 0 1 5 6 7 11 347 0 1 2 3 4 6 7 8 10 11 0 3 4 8 9 10 3 4 10 3:0 1 7 0 1 2 3 4 6 7 8 10 11 0:0 1 2 3 4 6 7 8 10 11 '' 0 1 2 6 7 8 347 0 2 3 4 5 6 7 8 10 11 0 3 4 8 9 10 2 7 8 7:0 1 7 0 2 3 4 5 6 7 8 10 11 4:0 1 2 3 4 6 7 8 10 11 '' 0 4 5 6 10 11 347 0 1 2 3 5 6 7 9 10 11 0 3 4 8 9 10 2 3 9 2:0 1 7 0 1 2 3 5 6 7 9 10 11 11:0 1 2 3 4 6 7 8 10 11 '' 0 1 5 6 7 11 347 0 1 2 4 5 6 8 9 10 11 0 3 4 8 9 10 1 2 8 1:0 1 7 0 1 2 4 5 6 8 9 10 11 10:0 1 2 3 4 6 7 8 10 11 '' 0 4 5 6 10 11 347 0 1 3 4 5 7 8 9 10 11 0 3 4 8 9 10 0 1 7 0:0 1 7 0 1 3 4 5 7 8 9 10 11 9:0 1 2 3 4 6 7 8 10 11 '' 3 4 5 9 10 11 347 0 2 3 4 6 7 8 9 10 11 0 3 4 8 9 10 0 6 11 11:0 1 7 0 2 3 4 6 7 8 9 10 11 8:0 1 2 3 4 6 7 8 10 11 '' 2 3 4 8 9 10 347 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 7 8 9 10 0 3 4 8 9 10 0 4 5 5:0 7 11 0 1 2 3 4 5 7 8 9 10 10:0 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 8 9 348 0 1 2 3 5 6 7 8 9 10 0 3 4 8 9 10 5 9 10 10:0 7 11 0 1 2 3 5 6 7 8 9 10 3:0 2 3 4 5 6 7 9 10 11 '' 1 2 5 6 7 8 9 348 0 1 2 3 4 6 7 8 9 11 0 3 4 8 9 10 3 4 11 4:0 7 11 0 1 2 3 4 6 7 8 9 11 9:0 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 7 8 11 348 0 1 2 4 5 6 7 8 9 11 0 3 4 8 9 10 4 8 9 9:0 7 11 0 1 2 4 5 6 7 8 9 11 2:0 2 3 4 5 6 7 9 10 11 '' 0 1 4 5 6 7 8 348 0 1 2 3 5 6 7 8 10 11 0 3 4 8 9 10 2 3 10 3:0 7 11 0 1 2 3 5 6 7 8 10 11 8:0 2 3 4 5 6 7 9 10 11 '' 0 1 2 6 7 10 11 348 0 1 3 4 5 6 7 8 10 11 0 3 4 8 9 10 3 7 8 8:0 7 11 0 1 3 4 5 6 7 8 10 11 1:0 2 3 4 5 6 7 9 10 11 '' 0 3 4 5 6 7 11 348 0 1 2 4 5 6 7 9 10 11 0 3 4 8 9 10 1 2 9 2:0 7 11 0 1 2 4 5 6 7 9 10 11 7:0 2 3 4 5 6 7 9 10 11 '' 0 1 5 6 9 10 11 348 0 2 3 4 5 6 7 9 10 11 0 3 4 8 9 10 2 6 7 7:0 7 11 0 2 3 4 5 6 7 9 10 11 0:0 2 3 4 5 6 7 9 10 11 '' 2 3 4 5 6 10 11 348 0 1 3 4 5 6 8 9 10 11 0 3 4 8 9 10 0 1 8 1:0 7 11 0 1 3 4 5 6 8 9 10 11 6:0 2 3 4 5 6 7 9 10 11 '' 0 4 5 8 9 10 11 348 0 2 3 4 5 7 8 9 10 11 0 3 4 8 9 10 0 7 11 0:0 7 11 0 2 3 4 5 7 8 9 10 11 5:0 2 3 4 5 6 7 9 10 11 '' 3 4 7 8 9 10 11 348 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 6 7 8 9 10 0 3 4 8 9 10 0 4 6 10 0:0 4 6 10 0 1 2 3 4 6 7 8 9 10 3:0 1 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 6 7 8 9 10 349 0 1 2 3 5 6 7 8 9 11 0 3 4 8 9 10 3 5 9 11 5:0 4 6 10 0 1 2 3 5 6 7 8 9 11 2:0 1 3 4 5 6 7 9 10 11 '' 0 1 2 3 5 6 7 8 9 11 349 0 1 2 4 5 6 7 8 10 11 0 3 4 8 9 10 2 4 8 10 4:0 4 6 10 0 1 2 4 5 6 7 8 10 11 1:0 1 3 4 5 6 7 9 10 11 '' 0 1 2 4 5 6 7 8 10 11 349 0 1 3 4 5 6 7 9 10 11 0 3 4 8 9 10 1 3 7 9 3:0 4 6 10 0 1 3 4 5 6 7 9 10 11 0:0 1 3 4 5 6 7 9 10 11 '' 0 1 3 4 5 6 7 9 10 11 349 0 2 3 4 5 6 8 9 10 11 0 3 4 8 9 10 0 2 6 8 2:0 4 6 10 0 2 3 4 5 6 8 9 10 11 5:0 1 3 4 5 6 7 9 10 11 '' 0 2 3 4 5 6 8 9 10 11 349 Chromaset Cell(ct) Generator(pcset) Generator(root:pct1) Generated(pcset) Generated(root:pct1) Missing Dupli. Gen.(ms idx) 0 1 2 3 4 5 6 7 8 9 10 0 3 4 8 9 10 0 4 5 6 9 10 5:0 1 4 5 7 11 0 1 2 3 4 5 6 7 8 9 10 3:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 7 8 9 10 350 0 1 2 3 4 5 6 7 8 9 11 0 3 4 8 9 10 3 4 5 8 9 11 4:0 1 4 5 7 11 0 1 2 3 4 5 6 7 8 9 11 2:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 7 8 9 11 350 0 1 2 3 4 5 6 7 8 10 11 0 3 4 8 9 10 2 3 4 7 8 10 3:0 1 4 5 7 11 0 1 2 3 4 5 6 7 8 10 11 1:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 7 8 10 11 350 0 1 2 3 4 5 6 7 9 10 11 0 3 4 8 9 10 1 2 3 6 7 9 2:0 1 4 5 7 11 0 1 2 3 4 5 6 7 9 10 11 0:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 7 9 10 11 350 0 1 2 3 4 5 6 8 9 10 11 0 3 4 8 9 10 0 1 2 5 6 8 1:0 1 4 5 7 11 0 1 2 3 4 5 6 8 9 10 11 11:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 6 8 9 10 11 350 0 1 2 3 4 5 7 8 9 10 11 0 3 4 8 9 10 0 1 4 5 7 11 0:0 1 4 5 7 11 0 1 2 3 4 5 7 8 9 10 11 10:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 5 7 8 9 10 11 350 0 1 2 3 4 6 7 8 9 10 11 0 3 4 8 9 10 0 3 4 6 10 11 11:0 1 4 5 7 11 0 1 2 3 4 6 7 8 9 10 11 9:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 4 6 7 8 9 10 11 350 0 1 2 3 5 6 7 8 9 10 11 0 3 4 8 9 10 2 3 5 9 10 11 10:0 1 4 5 7 11 0 1 2 3 5 6 7 8 9 10 11 8:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 3 5 6 7 8 9 10 11 350 0 1 2 4 5 6 7 8 9 10 11 0 3 4 8 9 10 1 2 4 8 9 10 9:0 1 4 5 7 11 0 1 2 4 5 6 7 8 9 10 11 7:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 2 4 5 6 7 8 9 10 11 350 0 1 3 4 5 6 7 8 9 10 11 0 3 4 8 9 10 0 1 3 7 8 9 8:0 1 4 5 7 11 0 1 3 4 5 6 7 8 9 10 11 6:0 1 2 3 4 5 6 7 9 10 11 '' 0 1 3 4 5 6 7 8 9 10 11 350 0 2 3 4 5 6 7 8 9 10 11 0 3 4 8 9 10 0 2 6 7 8 11 7:0 1 4 5 7 11 0 2 3 4 5 6 7 8 9 10 11 5:0 1 2 3 4 5 6 7 9 10 11 '' 0 2 3 4 5 6 7 8 9 10 11 350 Standard Chord Types Index Collapsible Chord Types Index

Chord Type		Roots
Unison (Scale Degrees: 1)
0 = root, unison, octave	\|	0 3 4 8 9 10 = 0: 0 3 4 8 9 10 = 3: 0 1 5 6 7 9 = 4: 0 4 5 6 8 11 = 8: 0 1 2 4 7 8 = 9: 0 1 3 6 7 11 = 10: 0 2 5 6 10 11

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11
0 2 = maj. 2nd, dim., maj. 9th	\|	8 10 = 8: 0 2 = 10: 0 10

3rds / 10ths (Scale Degrees: 13)
0 3 = aug. 2nd, min. 3rd, aug. 9th	\|	0 9 = 0: 0 9 = 9: 0 3
0 4 = maj. 3rd, maj. 10th, dim. 4th	\|	0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	3 4 10 = 3: 0 1 7 = 4: 0 6 11 = 10: 0 5 6
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	3 4 9 10 = 3: 0 1 6 7 = 4: 0 5 6 11 = 9: 0 1 6 7 = 10: 0 5 6 11

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11

6ths / 13ths (Scale Degrees: 16)
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th	\|	0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	0 3 = 0: 0 3 = 3: 0 9

7ths / 14ths (Scale Degrees: 17)
0 10 = aug. 6th, min. 7th, aug. 13th	\|	0 10 = 0: 0 10 = 10: 0 2
0 11 = maj. 7th, maj. 14th	\|	4 9 10 = 4: 0 5 6 = 9: 0 1 7 = 10: 0 6 11

chromatic trichord (Scale Degrees: 122)
0 1 2 = 1st 3 chromatics	\|	8 = 8: 0

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	9 = 9: 0
0 1 4	\|	8 = 8: 0
0 2 4 = maj. trichord	\|	8 = 8: 0
0 3 4	\|	0 = 0: 0

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	3 8 9 = 3: 0 5 6 = 8: 0 1 7 = 9: 0 6 11
0 2 7 = sus2, 3 in 5ths	\|	8 = 8: 0

Root with upper and lower neighbors (Scale Degrees: 127)
0 1 11 = root & chr. neighbors	\|	9 = 9: 0
0 2 11	\|	10 = 10: 0

Scale Degrees: 134
0 4 5	\|	4 = 4: 0

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	9 = 9: 0
0 3 7 = m = minor	\|	9 = 9: 0
0 4 6 = Mb5	\|	4 = 4: 0
0 4 7 = M = major	\|	8 = 8: 0
0 4 8 = + = augmented	\|	0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	0 = 0: 0
0 4 9 = M6 no 5th	\|	0 = 0: 0

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	0 = 0: 0
0 3 11 = mM7 no 5th	\|	9 = 9: 0
0 4 10 = 7 no 5th	\|	0 = 0: 0
0 4 11 = M7 no 5th	\|	4 = 4: 0

Sus4 Triads (Scale Degrees: 145)
0 5 7 = sus4	\|	3 = 3: 0
0 6 7 = sus#4, Viennese trichord	\|	3 9 = 3: 0 6 = 9: 0 6

7sus chords no 5th (Scale Degrees: 147)
0 5 10 = 3 in 4ths	\|	10 = 10: 0

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	8 = 8: 0
0 7 9	\|	3 = 3: 0

7th chords no 3rd (Scale Degrees: 157)
0 7 11 = M power chord	\|	9 = 9: 0

Scale Degrees: 167
0 10 11	\|	10 = 10: 0

chromatic tetrachord (Scale Degrees: 1223)
0 1 2 4	\|	8 = 8: 0

Scale Degrees: 1225
0 1 2 7	\|	8 = 8: 0

Add 9 Chords (Scale Degrees: 1235)
0 1 3 6 = dim. add b9	\|	9 = 9: 0
0 1 3 7 = m add b9, all-int	\|	9 = 9: 0
0 1 4 7 = M add b9	\|	8 = 8: 0
0 2 4 7 = add9 , Mu chord	\|	8 = 8: 0
0 3 4 8 = aug. add #9	\|	0 = 0: 0

6/9 chord no 5th (Scale Degrees: 1236)
0 3 4 9	\|	0 = 0: 0

9th chords no 5th (Scale Degrees: 1237)
0 1 3 11 = Mm7b9 no 5th	\|	9 = 9: 0
0 3 4 10 = 7#9 no 5th, Hendrix, all-int	\|	0 = 0: 0

11th chords no 3rd no 7th (Scale Degrees: 1245)
0 1 5 7	\|	3 = 3: 0
0 1 6 7	\|	3 9 = 3: 0 6 = 9: 0 6

6/9 chords no 3rd (Scale Degrees: 1256)
0 1 7 8	\|	8 = 8: 0
0 1 7 9 = all-int	\|	3 = 3: 0
0 2 7 8	\|	8 = 8: 0

9th chords no 3rd (Scale Degrees: 1257)
0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd	\|	9 = 9: 0

13th chords no 3rd no 5th no 11th (Scale Degrees: 1267)
0 2 10 11	\|	10 = 10: 0

Add 11 Chords (Scale Degrees: 1345)
0 3 6 7 = m add #11	\|	9 = 9: 0
0 4 5 6 = Mb5 add 11	\|	4 = 4: 0

11th chords no 5th no 9th (Scale Degrees: 1347)
0 4 5 11	\|	4 = 4: 0

6th Chords (Scale Degrees: 1356)
0 4 7 8 = Mb6	\|	8 = 8: 0

7th Chords (Scale Degrees: 1357)
0 3 6 11 = mM7b5, dim. maj. 7th chord	\|	9 = 9: 0
0 3 7 11 = mM7	\|	9 = 9: 0
0 4 6 11 = M7b5	\|	4 = 4: 0
0 4 8 10 = 7#5	\|	0 = 0: 0
0 4 8 11 = M7#5	\|	4 = 4: 0

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 10 = m7/6 no 5th	\|	0 = 0: 0
0 4 9 10 = 7/6 no 5th, all-int	\|	0 = 0: 0

Scale Degrees: 1445
0 5 6 7 = dream chord	\|	3 = 3: 0

Scale Degrees: 1456
0 5 7 9	\|	3 = 3: 0
0 6 7 9	\|	3 = 3: 0

Sus 4 7th Chords (Scale Degrees: 1457)
0 6 7 11 = M7sus#4	\|	9 = 9: 0

Scale Degrees: 1467
0 5 10 11	\|	10 = 10: 0

Scale Degrees: 12235
0 1 2 4 7	\|	8 = 8: 0
0 1 2 4 8	\|	8 = 8: 0

Scale Degrees: 12256
0 1 2 7 8	\|	8 = 8: 0

1st 5 notes of diamorphic scale (Scale Degrees: 12345)
0 1 3 6 7	\|	9 = 9: 0

6/9 chords (Scale Degrees: 12356)
0 1 4 7 8 = Bridge chord	\|	8 = 8: 0
0 2 4 7 8	\|	8 = 8: 0

9th chords (Scale Degrees: 12357)
0 1 3 6 11 = mM7b5b9	\|	9 = 9: 0
0 1 3 7 11 = mM7b9	\|	9 = 9: 0
0 3 4 8 10 = 7#5#9	\|	0 = 0: 0

13th chords no 5th no 11th (Scale Degrees: 12367)
0 3 4 9 10 = 13#9 no 5th no 11th	\|	0 = 0: 0

Scale Degrees: 12445
0 1 5 6 7	\|	3 = 3: 0

Scale Degrees: 12456
0 1 5 7 9	\|	3 = 3: 0
0 1 6 7 9	\|	3 = 3: 0

11th chords no 3rd (Scale Degrees: 12457)
0 1 6 7 11	\|	9 = 9: 0

Scale Degrees: 13456
0 4 5 6 8	\|	4 = 4: 0

11th Chords no 9th (Scale Degrees: 13457)
0 3 6 7 11 = mM7#11 no 9th, batti min. 4/7#	\|	9 = 9: 0

7/6 Chords (Scale Degrees: 13567)
0 4 8 9 10 = 7#5/6	\|	0 = 0: 0

Scale Degrees: 122356
0 1 2 4 7 8 = all-tri hex	\|	8 = 8: 0

11th chords = diamorphic scales no 6th (Scale Degrees: 123457)
0 1 3 6 7 11 = mM#11b9, all-tri hex	\|	9 = 9: 0

13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567)
0 3 4 8 9 10 = M#13#5#9 no 11th, all-tri hex	\|	0 = 0: 0

Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 3 4 8 9 10	0 2	8 10	10:0 10	0 8 10	8:0 2 4	3 4 9	10	17
0 3 4 8 9 10	0 10	0 10	0:0 10	0 8 10	8:0 2 4	3 4 9	10	17
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 3 4 8 9 10	0 3	0 9	9:0 3	0 3 9	0:0 3 9	4 8 10	0	23
0 3 4 8 9 10	0 9	0 3	0:0 3	0 3 9	0:0 3 9	4 8 10	0	23
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 3 4 8 9 10	0 4	0 4 8	0:0 4 8	0 4 8	0:0 4 8	3 9 10	0 4 8	26
0 3 4 8 9 10	0 8	0 4 8	0:0 4 8	0 4 8	0:0 4 8	3 9 10	0 4 8	26
0 3 4 8 9 10	0 4 8	0 4 8	0:0 4 8	0 4 8	0:0 4 8	3 9 10	0 4 8	26
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 3 4 8 9 10	0 6	3 4 9 10	3:0 1 6 7	3 4 9 10	3:0 1 6 7	0 8	3 4 9 10	53
0 3 4 8 9 10	0 6 7	3 9	3:0 6	3 4 9 10	3:0 1 6 7	0 8	3 9	53
0 3 4 8 9 10	0 1 6 7	3 9	3:0 6	3 4 9 10	3:0 1 6 7	0 8	3 4 9 10	53
Chromaset	Cell(ct)	Generator(pcset)	Generator(root:pct1)	Generated(pcset)	Generated(root:pct1)	Missing	Dupli.	Gen.(ms idx)
0 3 4 8 9 10	0 1	3 8 9	8:0 1 7	3 4 8 9 10	9:0 1 6 7 11	0	9	92
0 3 4 8 9 10	0 5	3 4 10	3:0 1 7	3 4 8 9 10	9:0 1 6 7 11	0	3	92
0 3 4 8 9 10	0 7	3 8 9	8:0 1 7	3 4 8 9 10	9:0 1 6 7 11	0	3	92
0 3 4 8 9 10	0 11	4 9 10	9:0 1 7	3 4 8 9 10	9:0 1 6 7 11	0	9	92
0 3 4 8 9 10	0 1 7	3 8 9	8:0 1 7	3 4 8 9 10	9:0 1 6 7 11	0	3 4 9 10	92