Chord Type: 0 3 6 7 8 11

0 3 6 7 8 11 = mM7#11b13 no 9th = Schoenberg hexachord

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Chord Type: 0 3 6 7 8 11

General Statistics Cardinality: 6 Jordan Number: 6-72 Forte Number: 6-z44 Forte Prime Form: [0,1,2,5,6,9] Zeitler Scale Name: Mydimic Ian Ring's Scale Page 2505 Root Reference: 0 3 6 7 8 11 Tone Stacking: 0 3 3 1 1 3 Interval Stacking: 3 3 1 1 3 1 Binary: 1 0 0 1 0 0 1 1 1 0 0 1 Decimal Value: 2505 Interval Vector: 3 1 3 4 3 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.467 Harmonic Adjacency (0-1): 0.467 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: diamorphic scales no 2nd (Scale Degrees: 134567) 0 3 5 6 10 11 = mM7b5 no 9th 0 3 5 7 8 10 = m7b13 no 9th 0 3 5 7 8 11 = mM7b13 no 9th 0 3 5 7 9 10 = m13 no 9th 0 3 5 7 9 11 = mM13 no 9th 0 3 5 7 10 11 = mM7#13 no 9th 0 3 6 7 8 10 = m7#11b13 no 9th ->0 3 6 7 8 11 = mM7#11b13 no 9th, Schoen. hex 0 3 6 7 9 10 = m13#11 no 9th 0 3 6 7 9 11 = mM13#11 no 9th 0 3 6 7 10 11 = mM#13#11 no 9th 0 4 5 6 10 11 = M#13b5 no 9th 0 4 5 7 8 10 = 7b13 no 9th 0 4 5 7 8 11 = M7b13 no 9th 0 4 5 7 9 10 = 13 no 9th 0 4 5 7 9 11 = M13 no 9th 0 4 5 7 10 11 = M#13 no 9th 0 4 6 7 8 10 = 7#13#11 no 9th 0 4 6 7 8 11 = M#13#11 no 9th 0 4 6 7 9 10 = 13#11 no 9th 0 4 6 7 9 11 = M13#11 no 9th 0 4 6 7 10 11 = M#13#11 no 9th All Transpositions of Chord Type: +0= 0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord +1= 0 1 4 7 8 9 |Schoenberg hexachord +2= 1 2 5 8 9 10 | +3= 2 3 6 9 10 11 | +4= 0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord +5= 0 1 4 5 8 11 | +6= 0 1 2 5 6 9 | +7= 1 2 3 6 7 10 | +8= 2 3 4 7 8 11 | +9= 0 3 4 5 8 9 | +10= 1 4 5 6 9 10 | +11= 2 5 6 7 10 11 | Modes of Chord Type: (mode 0) 0: 0 3 6 7 8 11 | mM7#11b13 no 9th = Schoenberg hexachord (mode 1) 3: 0 3 4 5 8 9 | (mode 2) 6: 0 1 2 5 6 9 | (mode 3) 7: 0 1 4 5 8 11 | (mode 4) 8: 0 3 4 7 10 11 | M#13#9 no 11th = Schoenberg hexachord (mode 5) 11: 0 1 4 7 8 9 | Schoenberg hexachord Modes of Chord Type Sorted by Rootedness: 1.992(mode 4)8:0 3 4 7 10 11 |M#13#9 no 11th = Schoenberg hexachord 1.317(mode 5)11:0 1 4 7 8 9 |Schoenberg hexachord .967(mode 0)0:0 3 6 7 8 11 |mM7#11b13 no 9th = Schoenberg hexachord .433(mode 1)3:0 3 4 5 8 9 | .433(mode 3)7:0 1 4 5 8 11 | .092(mode 2)6:0 1 2 5 6 9 | Inversion at 0: 0 1 4 5 6 9 (mode 0) 0: 0 1 4 5 6 9 | (mode 1) 1: 0 3 4 5 8 11 | (mode 2) 4: 0 1 2 5 8 9 | (mode 3) 5: 0 1 4 7 8 11 | Mb13b9 no 11th (mode 4) 6: 0 3 6 7 10 11 | mM#13#11 no 9th (mode 5) 9: 0 3 4 7 8 9 | Times 7: 0 1 5 6 8 9 (mode 0) 0: 0 1 5 6 8 9 | (mode 1) 1: 0 4 5 7 8 11 | M7b13 no 9th (mode 2) 5: 0 1 3 4 7 8 | (mode 3) 6: 0 2 3 6 7 11 | mM#11 (mode 4) 8: 0 1 4 5 9 10 | (mode 5) 9: 0 3 4 8 9 11 | M13#5#9 no 11th Times 5: 0 3 4 6 7 11 (mode 0) 0: 0 3 4 6 7 11 | M7#9#11 (mode 1) 3: 0 1 3 4 8 9 | (mode 2) 4: 0 2 3 7 8 11 | mMb13 no 11th (mode 3) 6: 0 1 5 6 9 10 | (mode 4) 7: 0 4 5 8 9 11 | (mode 5) 11: 0 1 4 5 7 8 | Modal System: 0 1 2 5 6 9 from root(s) 6 | "M#13#9 no 11th" Modes of Modal System: (mode 0) 0: 0 1 2 5 6 9 | (mode 1) 1: 0 1 4 5 8 11 | (mode 2) 2: 0 3 4 7 10 11 | M#13#9 no 11th = Schoenberg hexachord (mode 3) 5: 0 1 4 7 8 9 | Schoenberg hexachord (mode 4) 6: 0 3 6 7 8 11 | mM7#11b13 no 9th = Schoenberg hexachord (mode 5) 9: 0 3 4 5 8 9 | Complement: 1 2 4 5 9 10 (mode 0) 1: 0 1 3 4 8 9 | (mode 1) 2: 0 2 3 7 8 11 | mMb13 no 11th (mode 2) 4: 0 1 5 6 9 10 | (mode 3) 5: 0 4 5 8 9 11 | (mode 4) 9: 0 1 4 5 7 8 | (mode 5) 10: 0 3 4 6 7 11 | M7#9#11 All but the root (subchroma complement of 0): 3 6 7 8 11 (mode 0) 3: 0 3 4 5 8 | (mode 1) 6: 0 1 2 5 9 | (mode 2) 7: 0 1 4 8 11 | M7#5b9 (mode 3) 8: 0 3 7 10 11 | mM7/#6 (mode 4) 11: 0 4 7 8 9 | Web Links JCS Wiki Page for This Chord Type No content as of 2022-5-9. This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3) Schoenberg hexachord - Wikipedia De-Chromaticizations Dechromaticised: 0 3 6 8 11 (mode 0) 0: 0 3 6 8 11 | (mode 1) 3: 0 3 5 8 9 | (mode 2) 6: 0 2 5 6 9 | (mode 3) 8: 0 3 4 7 10 | 7#9 (mode 4) 11: 0 1 4 7 9 | Elektra chord Dechromaticised but Keep 0 0 3 6 8 11 (unchanged) (mode 0) 0: 0 3 6 8 11 | (mode 1) 3: 0 3 5 8 9 | (mode 2) 6: 0 2 5 6 9 | (mode 3) 8: 0 3 4 7 10 | 7#9 (mode 4) 11: 0 1 4 7 9 | Elektra chord Dechromaticised but Keep 0 7 0 3 6 7 8 11 (mode 0) 0: 0 3 6 7 8 11 | mM7#11b13 no 9th = Schoenberg hexachord (mode 1) 3: 0 3 4 5 8 9 | (mode 2) 6: 0 1 2 5 6 9 | (mode 3) 7: 0 1 4 5 8 11 | (mode 4) 8: 0 3 4 7 10 11 | M#13#9 no 11th = Schoenberg hexachord (mode 5) 11: 0 1 4 7 8 9 | Schoenberg hexachord Dechromaticised but Keep 0 3 4 7 0 3 6 7 8 11 (mode 0) 0: 0 3 6 7 8 11 | mM7#11b13 no 9th = Schoenberg hexachord (mode 1) 3: 0 3 4 5 8 9 | (mode 2) 6: 0 1 2 5 6 9 | (mode 3) 7: 0 1 4 5 8 11 | (mode 4) 8: 0 3 4 7 10 11 | M#13#9 no 11th = Schoenberg hexachord (mode 5) 11: 0 1 4 7 8 9 | Schoenberg hexachord Alt-Dechromaticised: N/A Alt-Dechromaticised but Keep 0 N/A Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 N/A Chromaticizations chromaticized: N/A chromaticized keep 0: N/A chromaticized keep 0 7: (mode 0) 0: 0 1 2 3 6 7 8 11 | (mode 1) 1: 0 1 2 5 6 7 10 11 | (mode 2) 2: 0 1 4 5 6 9 10 11 | (mode 3) 3: 0 3 4 5 8 9 10 11 | (mode 4) 6: 0 1 2 5 6 7 8 9 | (mode 5) 7: 0 1 4 5 6 7 8 11 | (mode 6) 8: 0 3 4 5 6 7 10 11 | (mode 7) 11: 0 1 2 3 4 7 8 9 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 3 6 7 8 11 | (mode 1) 1: 0 1 2 5 6 7 10 11 | (mode 2) 2: 0 1 4 5 6 9 10 11 | (mode 3) 3: 0 3 4 5 8 9 10 11 | (mode 4) 6: 0 1 2 5 6 7 8 9 | (mode 5) 7: 0 1 4 5 6 7 8 11 | (mode 6) 8: 0 3 4 5 6 7 10 11 | (mode 7) 11: 0 1 2 3 4 7 8 9 | alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 3 5 6 7 8 10 11 | (mode 1) 3: 0 2 3 4 5 7 8 9 | (mode 2) 5: 0 1 2 3 5 6 7 10 | (mode 3) 6: 0 1 2 4 5 6 9 11 | (mode 4) 7: 0 1 3 4 5 8 10 11 | (mode 5) 8: 0 2 3 4 7 9 10 11 | (mode 6) 10: 0 1 2 5 7 8 9 10 | (mode 7) 11: 0 1 4 6 7 8 9 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 3 6 7 8 11 = 0: 0 3 6 7 8 11 = 3: 0 3 4 5 8 9 = 6: 0 1 2 5 6 9 = 7: 0 1 4 5 8 11 = 8: 0 3 4 7 10 11 = 11: 0 1 4 7 8 9 2 8 3 8 0 3 4 = 0: 0 3 4 = 3: 0 1 9 = 4: 0 8 11 1 8 8 0 3 4 7 10 11 = 0: 0 3 4 7 10 11 = 3: 0 1 4 7 8 9 = 4: 0 3 6 7 8 11 = 7: 0 3 4 5 8 9 = 10: 0 1 2 5 6 9 = 11: 0 1 4 5 8 11 1 11 11 0 1 4 7 8 9 = 0: 0 1 4 7 8 9 = 1: 0 3 6 7 8 11 = 4: 0 3 4 5 8 9 = 7: 0 1 2 5 6 9 = 8: 0 1 4 5 8 11 = 9: 0 3 4 7 10 11 Bright Layer Composition order pcset 1 0 3 6 7 8 11 = 0: 0 3 6 7 8 11 = 3: 0 3 4 5 8 9 = 6: 0 1 2 5 6 9 = 7: 0 1 4 5 8 11 = 8: 0 3 4 7 10 11 = 11: 0 1 4 7 8 9 2 0 1 2 3 6 7 8 10 11 = 0: 0 1 2 3 6 7 8 10 11 = 1: 0 1 2 5 6 7 9 10 11 = 2: 0 1 4 5 6 8 9 10 11 = 3: 0 3 4 5 7 8 9 10 11 = 6: 0 1 2 4 5 6 7 8 9 = 7: 0 1 3 4 5 6 7 8 11 = 8: 0 2 3 4 5 6 7 10 11 = 10: 0 1 2 3 4 5 8 9 10 = 11: 0 1 2 3 4 7 8 9 11 3 0 1 2 3 5 6 7 8 9 10 11 = 0: 0 1 2 3 5 6 7 8 9 10 11 = 1: 0 1 2 4 5 6 7 8 9 10 11 = 2: 0 1 3 4 5 6 7 8 9 10 11 = 3: 0 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 = 6: 0 1 2 3 4 5 6 7 8 9 11 = 7: 0 1 2 3 4 5 6 7 8 10 11 = 8: 0 1 2 3 4 5 6 7 9 10 11 = 9: 0 1 2 3 4 5 6 8 9 10 11 = 10: 0 1 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 4 6 7 8 9 10 11 4 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 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 3 6 7 8 11 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 6 = 6 = 6: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 3 = 0 3 = 0: 0 3 3: 0 9 3 6 = 3 6 = 3: 0 3 6: 0 9 6 7 = 6 7 = 6: 0 1 7: 0 11 7 8 = 7 8 = 7: 0 1 8: 0 11 8 11 = 8 11 = 8: 0 3 11: 0 9 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 6 = 0 6 = 0 6: 0 6 3 7 = 3 7 = 3: 0 4 7: 0 8 6 8 = 6 8 = 6: 0 2 8: 0 10 7 11 = 7 11 = 7: 0 4 11: 0 8 8 0 = 0 8 = 8: 0 4 0: 0 8 11 3 = 3 11 = 11: 0 4 3: 0 8 subchroma modal system: 0 3 0 7 = 0 7 = 7: 0 5 0: 0 7 3 8 = 3 8 = 3: 0 5 8: 0 7 6 11 = 6 11 = 6: 0 5 11: 0 7 7 0 = 0 7 = 7: 0 5 0: 0 7 8 3 = 3 8 = 3: 0 5 8: 0 7 11 6 = 6 11 = 6: 0 5 11: 0 7 subchroma modal system: 0 1 2 0 3 6 = 0 3 6 = 0: 0 3 6 3: 0 3 9 3 6 7 = 3 6 7 = 3: 0 3 4 6 7 8 = 6 7 8 = 6: 0 1 2 7: 0 1 11 8: 0 10 11 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 11 0 = 0 8 11 = 8: 0 3 4 11 0 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 3 0 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 3 6 8 = 3 6 8 = 3: 0 3 5 8: 0 7 10 6 7 11 = 6 7 11 = 7: 0 4 11 11: 0 7 8 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 11 3 = 3 8 11 = 8: 0 3 7 11: 0 4 9 11 0 6 = 0 6 11 = 11: 0 1 7 subchroma modal system: 0 1 4 0 3 8 = 0 3 8 = 8: 0 4 7 3 6 11 = 3 6 11 = 11: 0 4 7 6 7 0 = 0 6 7 = 0: 0 6 7 7 8 3 = 3 7 8 = 3: 0 4 5 8: 0 7 11 8 11 6 = 6 8 11 = 8: 0 3 10 11: 0 7 9 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 2 4 0 6 8 = 0 6 8 = 8: 0 4 10 3 7 11 = 3 7 11 = 3 7 11: 0 4 8 6 8 0 = 0 6 8 = 8: 0 4 10 7 11 3 = 3 7 11 = 3 7 11: 0 4 8 8 0 6 = 0 6 8 = 8: 0 4 10 11 3 7 = 3 7 11 = 3 7 11: 0 4 8 subchroma modal system: 0 1 2 3 0 3 6 7 = 0 3 6 7 = 3: 0 3 4 9 0: 0 3 6 7 3 6 7 8 = 3 6 7 8 = 3: 0 3 4 5 8: 0 7 10 11 6 7 8 11 = 6 7 8 11 = 7: 0 1 4 11 8: 0 3 10 11 11: 0 7 8 9 7 8 11 0 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 8 11 0 3 = 0 3 8 11 = 8: 0 3 4 7 11: 0 1 4 9 11 0 3 6 = 0 3 6 11 = 11: 0 1 4 7 0: 0 3 6 11 subchroma modal system: 0 1 2 4 0 3 6 8 = 0 3 6 8 = 8: 0 4 7 10 3 6 7 11 = 3 6 7 11 = 3: 0 3 4 8 11: 0 4 7 8 7: 0 4 8 11 6 7 8 0 = 0 6 7 8 = 8: 0 4 10 11 0: 0 6 7 8 7 8 11 3 = 3 7 8 11 = 8: 0 3 7 11 8 11 0 6 = 0 6 8 11 = 8: 0 3 4 10 11: 0 1 7 9 11 0 3 7 = 0 3 7 11 = 0: 0 3 7 11 subchroma modal system: 0 1 3 4 0 3 7 8 = 0 3 7 8 = 0: 0 3 7 8 8: 0 4 7 11 3 6 8 11 = 3 6 8 11 = 11: 0 4 7 9 8: 0 3 7 10 6 7 11 0 = 0 6 7 11 = 11: 0 1 7 8 7: 0 4 5 11 0: 0 6 7 11 7 8 0 3 = 0 3 7 8 = 0: 0 3 7 8 8: 0 4 7 11 8 11 3 6 = 3 6 8 11 = 11: 0 4 7 9 8: 0 3 7 10 11 0 6 7 = 0 6 7 11 = 11: 0 1 7 8 7: 0 4 5 11 0: 0 6 7 11 subchroma modal system: 0 1 2 3 4 0 3 6 7 8 = 0 3 6 7 8 = 0: 0 3 6 7 8 8: 0 4 7 10 11 3 6 7 8 11 = 3 6 7 8 11 = 7: 0 1 4 8 11 11: 0 4 7 8 9 8: 0 3 7 10 11 6 7 8 11 0 = 0 6 7 8 11 = 7: 0 1 4 5 11 8: 0 3 4 10 11 11: 0 1 7 8 9 0: 0 6 7 8 11 7 8 11 0 3 = 0 3 7 8 11 = 8: 0 3 4 7 11 0: 0 3 7 8 11 8 11 0 3 6 = 0 3 6 8 11 = 11: 0 1 4 7 9 8: 0 3 4 7 10 11 0 3 6 7 = 0 3 6 7 11 = 11: 0 1 4 7 8 0: 0 3 6 7 11 subchroma modal system: 0 1 2 3 4 5 0 3 6 7 8 11 = 0 3 6 7 8 11 = 11: 0 1 4 7 8 9 8: 0 3 4 7 10 11 0: 0 3 6 7 8 11 3 6 7 8 11 0 = 0 3 6 7 8 11 = 11: 0 1 4 7 8 9 8: 0 3 4 7 10 11 0: 0 3 6 7 8 11 6 7 8 11 0 3 = 0 3 6 7 8 11 = 11: 0 1 4 7 8 9 8: 0 3 4 7 10 11 0: 0 3 6 7 8 11 7 8 11 0 3 6 = 0 3 6 7 8 11 = 11: 0 1 4 7 8 9 8: 0 3 4 7 10 11 0: 0 3 6 7 8 11 8 11 0 3 6 7 = 0 3 6 7 8 11 = 11: 0 1 4 7 8 9 8: 0 3 4 7 10 11 0: 0 3 6 7 8 11 11 0 3 6 7 8 = 0 3 6 7 8 11 = 11: 0 1 4 7 8 9 8: 0 3 4 7 10 11 0: 0 3 6 7 8 11 Subset Chord Types by Root Set 0 :0 3 6 0 :0 6 7 0 :0 3 6 7 0 :0 3 7 8 0 :0 3 6 11 0 :0 6 7 8 0 :0 6 7 11 0 :0 7 8 11 0 :0 3 6 7 8 0 :0 3 6 7 11 0 :0 3 7 8 11 0 :0 6 7 8 11 0 :0 3 6 7 8 11 0 3 6 7 8 11:0 0 3 7 11 :0 8 0 3 8 :0 3 0 6 :0 6 0 7 8 :0 11 0 8 :0 3 7 0 8 :0 3 11 0 8 :0 7 11 0 8 :0 3 7 11 0 8 11 :0 7 0 11 :0 7 8 3 :0 3 5 3 :0 3 9 3 :0 3 4 5 3 :0 3 4 8 3 :0 3 4 9 3 6 7 :0 5 3 6 11 :0 9 3 7 :0 4 5 3 7 8 11 :0 4 3 7 11 :0 4 8 3 8 :0 3 4 3 11 :0 4 9 6 :0 2 6 :0 1 2 6 7 11 :0 1 7 :0 1 11 7 :0 1 4 5 7 :0 1 4 11 7 :0 4 5 11 7 :0 4 8 11 7 :0 1 4 5 11 7 :0 1 4 8 11 7 8 :0 4 11 7 11 :0 1 4 8 :0 10 8 :0 3 10 8 :0 4 10 8 :0 7 10 8 :0 10 11 8 :0 3 4 7 8 :0 3 4 10 8 :0 3 4 11 8 :0 3 7 10 8 :0 4 7 10 8 :0 4 7 11 8 :0 3 10 11 8 :0 4 10 11 8 :0 7 10 11 8 :0 3 4 7 10 8 :0 3 4 7 11 8 :0 3 4 10 11 8 :0 3 7 10 11 8 :0 4 7 10 11 8 :0 3 4 7 10 11 8 11 :0 4 7 11 :0 1 7 11 :0 7 9 11 :0 1 4 7 11 :0 1 4 9 11 :0 1 7 8 11 :0 1 7 9 11 :0 4 7 8 11 :0 4 7 9 11 :0 7 8 9 11 :0 1 4 7 8 11 :0 1 4 7 9 11 :0 1 7 8 9 11 :0 4 7 8 9 11 :0 1 4 7 8 9 Superset Chord Types by Root Set 0 :0 3 6 7 8 11 0 :0 1 3 6 7 8 11 0 :0 2 3 6 7 8 11 0 :0 3 4 6 7 8 11 0 :0 3 5 6 7 8 11 0 :0 3 6 7 8 9 11 0 :0 3 6 7 8 10 11 0 :0 1 2 3 6 7 8 11 0 :0 1 3 4 6 7 8 11 0 :0 1 3 5 6 7 8 11 0 :0 2 3 5 6 7 8 11 0 :0 3 4 5 6 7 8 11 0 :0 1 3 6 7 8 9 11 0 :0 1 3 6 7 8 10 11 0 :0 2 3 6 7 8 9 11 0 :0 2 3 6 7 8 10 11 0 :0 3 4 6 7 8 9 11 0 :0 3 5 6 7 8 9 11 0 :0 3 5 6 7 8 10 11 0 :0 3 6 7 8 9 10 11 0 :0 1 2 3 5 6 7 8 11 0 :0 1 2 3 6 7 8 9 11 0 :0 1 3 5 6 7 8 9 11 0 :0 2 3 5 6 7 8 9 11 0 :0 1 3 6 7 8 9 10 11 0 :0 3 5 6 7 8 9 10 11 0 :0 1 3 5 6 7 8 9 10 11 0 1 :0 2 3 5 6 7 8 10 11 0 1 2 3 4 5 6 7 8 9 10 11:0 1 2 3 4 5 6 7 8 9 10 11 0 1 3 4 8 9 :0 2 3 4 5 6 7 8 9 10 11 0 1 4 5 7 8 :0 1 2 3 4 5 6 7 8 10 11 0 1 4 8 :0 2 3 4 5 6 7 8 10 11 0 1 5 :0 1 2 3 5 6 7 8 10 11 0 1 5 6 9 10 :0 1 2 3 5 6 7 8 9 10 11 0 1 9 :0 2 3 5 6 7 8 9 10 11 0 2 3 7 8 11 :0 1 3 4 5 6 7 8 9 10 11 0 3 :0 3 4 5 6 7 8 9 11 0 3 4 :0 2 3 4 5 6 7 8 9 11 0 3 4 6 7 11 :0 1 2 3 4 5 6 7 8 9 11 0 3 7 11 :0 1 3 4 5 6 7 8 9 11 0 3 8 :0 3 4 5 6 7 8 9 10 11 0 4 :0 2 3 4 6 7 8 11 0 4 :0 1 2 3 4 6 7 8 11 0 4 :0 2 3 4 5 6 7 8 11 0 4 :0 2 3 4 6 7 8 9 11 0 4 5 8 :0 1 2 3 4 6 7 8 10 11 0 4 5 8 9 11 :0 1 2 3 4 6 7 8 9 10 11 0 4 7 :0 1 2 3 4 5 6 7 8 11 0 4 8 :0 2 3 4 6 7 8 10 11 0 4 8 9 :0 2 3 4 6 7 8 9 10 11 0 4 11 :0 1 2 3 4 6 7 8 9 11 0 5 :0 1 2 3 6 7 8 10 11 0 5 9 :0 1 2 3 6 7 8 9 10 11 0 6 :0 1 2 3 5 6 7 8 9 11 0 7 :0 1 3 4 5 6 7 8 11 0 7 8 :0 1 3 4 5 6 7 8 10 11 0 8 :0 3 4 6 7 8 10 11 0 8 :0 1 3 4 6 7 8 10 11 0 8 :0 3 4 5 6 7 8 10 11 0 8 :0 3 4 6 7 8 9 10 11 0 8 11 :0 1 3 4 6 7 8 9 10 11 0 9 :0 2 3 6 7 8 9 10 11 0 11 :0 1 3 4 6 7 8 9 11 1 :0 2 5 6 7 10 11 1 :0 1 2 5 6 7 10 11 1 :0 2 3 5 6 7 10 11 1 :0 2 4 5 6 7 10 11 1 :0 2 5 6 7 8 10 11 1 :0 2 5 6 7 9 10 11 1 :0 1 2 4 5 6 7 10 11 1 :0 2 4 5 6 7 8 10 11 1 :0 2 4 5 6 7 9 10 11 1 :0 2 4 5 6 7 8 9 10 11 1 2 5 6 8 9 :0 1 2 3 4 5 6 7 9 10 11 1 2 6 :0 1 2 4 5 6 7 9 10 11 1 2 6 7 10 11 :0 1 2 4 5 6 7 8 9 10 11 1 5 :0 1 2 3 5 6 7 10 11 1 5 6 9 :0 1 2 3 5 6 7 9 10 11 1 5 8 :0 1 2 3 4 5 6 7 10 11 1 6 10 :0 1 2 5 6 7 8 9 10 11 1 7 :0 1 2 4 5 6 7 8 10 11 1 8 :0 2 3 4 5 6 7 10 11 1 8 9 :0 2 3 4 5 6 7 9 10 11 1 9 :0 2 3 5 6 7 9 10 11 2 :0 1 4 5 6 9 10 2 :0 1 3 4 5 6 9 10 2 :0 1 4 5 6 7 9 10 2 :0 1 3 4 5 6 7 9 10 2 :0 1 4 5 6 7 9 10 11 2 3 5 6 10 11 :0 1 2 3 4 5 6 7 8 9 10 2 3 6 7 9 10 :0 1 2 3 4 5 6 8 9 10 11 2 3 6 10 :0 1 2 3 4 5 6 8 9 10 2 3 7 :0 1 3 4 5 6 8 9 10 11 2 3 11 :0 1 3 4 5 6 7 8 9 10 2 5 6 :0 1 2 3 4 5 6 7 9 10 2 6 :0 1 2 3 4 5 6 9 10 2 6 :0 1 2 4 5 6 7 9 10 2 6 7 10 :0 1 2 4 5 6 8 9 10 11 2 6 9 :0 1 2 3 4 5 6 9 10 11 2 6 10 11 :0 1 2 4 5 6 7 8 9 10 2 7 11 :0 1 4 5 6 7 8 9 10 11 2 8 :0 1 3 4 5 6 7 9 10 11 2 11 :0 1 4 5 6 7 8 9 10 3 :0 3 4 5 7 8 9 3 :0 3 4 5 8 9 10 3 :0 3 4 5 8 9 11 3 :0 2 3 4 5 7 8 9 3 :0 3 4 5 7 8 9 10 3 :0 3 4 5 7 8 9 11 3 :0 2 3 4 5 6 7 8 9 3 :0 2 3 4 5 7 8 9 10 3 :0 3 4 5 6 7 8 9 10 3 :0 2 3 4 5 6 7 8 9 10 3 4 :0 2 3 4 5 7 8 9 11 3 4 7 8 10 11 :0 1 2 3 4 5 7 8 9 10 11 3 4 7 11 :0 1 2 3 4 5 7 8 9 11 3 4 8 :0 2 3 4 5 7 8 9 10 11 3 6 7 :0 1 2 3 4 5 6 8 9 11 3 6 11 :0 1 2 3 4 5 6 7 8 9 3 7 8 11 :0 1 3 4 5 7 8 9 10 11 3 7 10 :0 1 2 3 4 5 8 9 10 11 3 7 11 :0 1 3 4 5 7 8 9 11 3 8 :0 3 4 5 7 8 9 10 11 3 9 :0 2 3 4 5 6 8 9 10 11 3 10 11 :0 1 2 3 4 5 7 8 9 10 3 11 :0 1 3 4 5 7 8 9 3 11 :0 1 2 3 4 5 7 8 9 3 11 :0 1 3 4 5 7 8 9 10 4 :0 2 3 4 7 8 11 4 :0 1 2 3 4 7 8 11 4 :0 2 3 4 5 7 8 11 4 :0 2 3 4 7 8 9 11 4 7 :0 1 2 3 4 5 7 8 11 4 7 8 :0 1 2 3 4 5 7 8 10 11 4 8 :0 2 3 4 7 8 10 11 4 8 :0 1 2 3 4 7 8 10 11 4 8 :0 2 3 4 5 7 8 10 11 4 8 :0 2 3 4 7 8 9 10 11 4 8 11 :0 1 2 3 4 7 8 9 10 11 4 11 :0 1 2 3 4 7 8 9 11 5 :0 1 2 3 6 7 10 5 :0 1 2 3 4 6 7 10 5 :0 1 2 3 5 6 7 10 5 :0 1 2 3 6 7 8 10 5 :0 1 2 3 6 7 9 10 5 :0 1 2 3 6 7 10 11 5 :0 1 2 3 4 5 6 7 10 5 :0 1 2 3 4 6 7 8 10 5 :0 1 2 3 4 6 7 9 10 5 :0 1 2 3 5 6 7 8 10 5 :0 1 2 3 6 7 8 9 10 5 :0 1 2 3 4 5 6 7 8 10 5 6 :0 1 2 3 5 6 7 9 10 5 6 10 :0 1 2 3 5 6 7 8 9 10 5 8 :0 1 2 3 4 6 7 10 11 5 8 9 :0 1 2 3 4 6 7 9 10 11 5 9 :0 1 2 3 6 7 9 10 11 5 11 :0 1 2 3 4 6 7 8 9 10 6 :0 1 2 4 5 6 9 6 :0 1 2 3 5 6 7 9 6 :0 1 2 4 5 6 7 9 6 :0 1 2 5 6 7 8 9 6 :0 1 2 5 6 7 9 11 6 :0 1 2 3 4 5 6 7 9 6 :0 1 2 3 5 6 7 8 9 6 :0 1 2 3 5 6 7 9 11 6 :0 1 2 3 5 6 8 9 11 6 :0 1 2 4 5 6 7 9 11 6 :0 1 2 3 4 5 6 7 9 11 6 7 11 :0 1 2 4 5 6 7 8 9 11 6 9 10 :0 1 2 3 5 6 8 9 10 11 6 11 :0 1 2 4 5 6 7 8 9 7 :0 1 4 5 6 8 11 7 :0 1 4 5 7 8 11 7 :0 1 4 5 8 9 11 7 :0 1 4 5 8 10 11 7 :0 1 2 4 5 7 8 11 7 :0 1 3 4 5 7 8 11 7 :0 1 4 5 6 7 8 11 7 :0 1 4 5 6 8 10 11 7 :0 1 4 5 7 8 10 11 7 :0 1 2 4 5 6 7 8 11 7 :0 1 2 4 5 7 8 10 11 7 :0 1 4 5 6 7 8 10 11 7 :0 1 2 3 4 5 6 8 10 11 7 8 :0 1 3 4 5 7 8 10 11 7 10 11 :0 1 2 4 5 7 8 9 10 11 7 11 :0 1 4 5 7 8 9 11 7 11 :0 1 2 4 5 7 8 9 11 7 11 :0 1 4 5 6 7 8 9 11 7 11 :0 1 4 5 7 8 9 10 11 8 :0 3 4 7 10 11 8 :0 1 3 4 7 10 11 8 :0 2 3 4 7 10 11 8 :0 3 4 5 7 10 11 8 :0 3 4 6 7 10 11 8 :0 3 4 7 8 10 11 8 :0 3 4 7 9 10 11 8 :0 1 2 3 4 7 10 11 8 :0 1 3 4 5 7 10 11 8 :0 1 3 4 6 7 10 11 8 :0 2 3 4 5 7 10 11 8 :0 2 3 4 6 7 10 11 8 :0 1 3 4 7 8 10 11 8 :0 1 3 4 7 9 10 11 8 :0 2 3 4 7 9 10 11 8 :0 3 4 5 6 7 10 11 8 :0 3 4 5 7 8 10 11 8 :0 3 4 5 7 9 10 11 8 :0 3 4 6 7 9 10 11 8 :0 3 4 7 8 9 10 11 8 :0 1 2 3 4 5 7 10 11 8 :0 1 2 3 4 7 9 10 11 8 :0 1 3 4 5 6 7 10 11 8 :0 1 3 4 5 7 9 10 11 8 :0 1 3 4 6 7 9 10 11 8 :0 2 3 4 5 7 9 10 11 8 :0 3 4 5 6 7 9 10 11 8 :0 1 2 3 4 5 7 9 10 11 8 9 :0 2 3 4 6 7 9 10 11 8 11 :0 1 3 4 7 8 9 10 11 9 :0 2 3 6 9 10 11 9 :0 2 3 4 6 9 10 11 9 :0 2 3 6 7 9 10 11 9 :0 2 3 4 5 6 9 10 11 9 :0 2 3 5 6 8 9 10 11 9 :0 1 2 3 4 6 8 9 10 11 10 :0 1 2 3 5 7 8 9 10 10 :0 1 2 5 7 8 9 10 11 10 :0 1 2 3 5 7 8 9 10 11 10 11 :0 1 2 4 5 7 8 9 10 11 :0 1 4 7 8 9 11 :0 1 2 4 7 8 9 11 :0 1 3 4 7 8 9 11 :0 1 4 5 7 8 9 11

order	origin	root set	chord type (as pcset)
1	0	0	0 3 6 7 8 11 = 0: 0 3 6 7 8 11 = 3: 0 3 4 5 8 9 = 6: 0 1 2 5 6 9 = 7: 0 1 4 5 8 11 = 8: 0 3 4 7 10 11 = 11: 0 1 4 7 8 9

2	8	3 8	0 3 4 = 0: 0 3 4 = 3: 0 1 9 = 4: 0 8 11
1	8	8	0 3 4 7 10 11 = 0: 0 3 4 7 10 11 = 3: 0 1 4 7 8 9 = 4: 0 3 6 7 8 11 = 7: 0 3 4 5 8 9 = 10: 0 1 2 5 6 9 = 11: 0 1 4 5 8 11

1	11	11	0 1 4 7 8 9 = 0: 0 1 4 7 8 9 = 1: 0 3 6 7 8 11 = 4: 0 3 4 5 8 9 = 7: 0 1 2 5 6 9 = 8: 0 1 4 5 8 11 = 9: 0 3 4 7 10 11

order	pcset
1	0 3 6 7 8 11 = 0: 0 3 6 7 8 11 = 3: 0 3 4 5 8 9 = 6: 0 1 2 5 6 9 = 7: 0 1 4 5 8 11 = 8: 0 3 4 7 10 11 = 11: 0 1 4 7 8 9
2	0 1 2 3 6 7 8 10 11 = 0: 0 1 2 3 6 7 8 10 11 = 1: 0 1 2 5 6 7 9 10 11 = 2: 0 1 4 5 6 8 9 10 11 = 3: 0 3 4 5 7 8 9 10 11 = 6: 0 1 2 4 5 6 7 8 9 = 7: 0 1 3 4 5 6 7 8 11 = 8: 0 2 3 4 5 6 7 10 11 = 10: 0 1 2 3 4 5 8 9 10 = 11: 0 1 2 3 4 7 8 9 11
3	0 1 2 3 5 6 7 8 9 10 11 = 0: 0 1 2 3 5 6 7 8 9 10 11 = 1: 0 1 2 4 5 6 7 8 9 10 11 = 2: 0 1 3 4 5 6 7 8 9 10 11 = 3: 0 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 = 6: 0 1 2 3 4 5 6 7 8 9 11 = 7: 0 1 2 3 4 5 6 7 8 10 11 = 8: 0 1 2 3 4 5 6 7 9 10 11 = 9: 0 1 2 3 4 5 6 8 9 10 11 = 10: 0 1 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 4 6 7 8 9 10 11
4	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