Chord Type: 0 2 3 4 9

0 2 3 4 9

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Chord Type: 0 2 3 4 9

Modal System Fun Facts 0 1 2 7 10 Subset of Dorian Blues Scale General Statistics Cardinality: 5 Jordan Number: 5-18 Forte Number: 5-z36 Forte Prime Form: [0,1,2,4,7] Zeitler Scale Name: Ian Ring's Scale Page 541 Root Reference: 0 2 3 4 9 Tone Stacking: 0 2 1 1 5 Interval Stacking: 2 1 1 5 3 Binary: 1 0 1 1 1 0 0 0 0 1 0 0 Decimal Value: 541 Interval Vector: 2 2 2 1 2 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.667 Harmonic Adjacency (0-1): 0.667 Modal-system-invariant under multiplication by: 1 7 Modal System Balanced: no Diachromatic Family: Scale Degrees: 12236 0 1 2 4 9 0 1 3 4 9 ->0 2 3 4 9 All Transpositions of Chord Type: +0= 0 2 3 4 9 | +1= 1 3 4 5 10 | +2= 2 4 5 6 11 | +3= 0 3 5 6 7 |blues pentachord +4= 1 4 6 7 8 | +5= 2 5 7 8 9 | +6= 3 6 8 9 10 | +7= 4 7 9 10 11 | +8= 0 5 8 10 11 | +9= 0 1 6 9 11 | +10= 0 1 2 7 10 | +11= 1 2 3 8 11 | Modes of Chord Type: (mode 0) 0: 0 2 3 4 9 | (mode 1) 2: 0 1 2 7 10 | (mode 2) 3: 0 1 6 9 11 | (mode 3) 4: 0 5 8 10 11 | (mode 4) 9: 0 3 5 6 7 | blues pentachord Modes of Chord Type Sorted by Rootedness: 1.450(mode 1)2:0 1 2 7 10 | 1.292(mode 0)0:0 2 3 4 9 | .817(mode 4)9:0 3 5 6 7 |blues pentachord .683(mode 2)3:0 1 6 9 11 | .192(mode 3)4:0 5 8 10 11 | Inversion at 0: 0 3 8 9 10 (mode 0) 0: 0 3 8 9 10 | (mode 1) 3: 0 5 6 7 9 | (mode 2) 8: 0 1 2 4 7 | (mode 3) 9: 0 1 3 6 11 | mM7b5b9 (mode 4) 10: 0 2 5 10 11 | Times 7: 0 2 3 4 9 (mode 0) 0: 0 2 3 4 9 | (mode 1) 2: 0 1 2 7 10 | (mode 2) 3: 0 1 6 9 11 | (mode 3) 4: 0 5 8 10 11 | (mode 4) 9: 0 3 5 6 7 | blues pentachord Times 5: 0 3 8 9 10 (mode 0) 0: 0 3 8 9 10 | (mode 1) 3: 0 5 6 7 9 | (mode 2) 8: 0 1 2 4 7 | (mode 3) 9: 0 1 3 6 11 | mM7b5b9 (mode 4) 10: 0 2 5 10 11 | Modal System: 0 1 2 7 10 from root(s) 2 | "blues pentachord modal system" Modes of Modal System: (mode 0) 0: 0 1 2 7 10 | (mode 1) 1: 0 1 6 9 11 | (mode 2) 2: 0 5 8 10 11 | (mode 3) 7: 0 3 5 6 7 | blues pentachord (mode 4) 10: 0 2 3 4 9 | Complement: 1 5 6 7 8 10 11 (mode 0) 1: 0 4 5 6 7 9 10 | (mode 1) 5: 0 1 2 3 5 6 8 | (mode 2) 6: 0 1 2 4 5 7 11 | (mode 3) 7: 0 1 3 4 6 10 11 | (mode 4) 8: 0 2 3 5 9 10 11 | (mode 5) 10: 0 1 3 7 8 9 10 | (mode 6) 11: 0 2 6 7 8 9 11 | All but the root (subchroma complement of 0): 2 3 4 9 (mode 0) 2: 0 1 2 7 | (mode 1) 3: 0 1 6 11 | (mode 2) 4: 0 5 10 11 | (mode 3) 9: 0 5 6 7 | Dream chord = "Walk this Way" riff chord 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) De-Chromaticizations Dechromaticised: 0 2 4 9 (mode 0) 0: 0 2 4 9 | (mode 1) 2: 0 2 7 10 | 9 no 3rd = m9 no 3rd (mode 2) 4: 0 5 8 10 | (mode 3) 9: 0 3 5 7 | m add 11 Dechromaticised but Keep 0 0 2 4 9 (unchanged) (mode 0) 0: 0 2 4 9 | (mode 1) 2: 0 2 7 10 | 9 no 3rd = m9 no 3rd (mode 2) 4: 0 5 8 10 | (mode 3) 9: 0 3 5 7 | m add 11 Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 0 2 3 4 9 (mode 0) 0: 0 2 3 4 9 | (mode 1) 2: 0 1 2 7 10 | (mode 2) 3: 0 1 6 9 11 | (mode 3) 4: 0 5 8 10 11 | (mode 4) 9: 0 3 5 6 7 | blues pentachord Alt-Dechromaticised: 0 2 3 4 (mode 0) 0: 0 2 3 4 | (mode 1) 2: 0 1 2 10 | (mode 2) 3: 0 1 9 11 | (mode 3) 4: 0 8 10 11 | Alt-Dechromaticised but Keep 0 0 2 3 4 (unchanged) (mode 0) 0: 0 2 3 4 | (mode 1) 2: 0 1 2 10 | (mode 2) 3: 0 1 9 11 | (mode 3) 4: 0 8 10 11 | Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 0 2 3 4 (unchanged) (mode 0) 0: 0 2 3 4 | (mode 1) 2: 0 1 2 10 | (mode 2) 3: 0 1 9 11 | (mode 3) 4: 0 8 10 11 | Chromaticizations chromaticized: N/A chromaticized keep 0: (mode 0) 0: 0 2 3 4 9 10 11 | (mode 1) 2: 0 1 2 7 8 9 10 | (mode 2) 3: 0 1 6 7 8 9 11 | (mode 3) 4: 0 5 6 7 8 10 11 | (mode 4) 9: 0 1 2 3 5 6 7 | (mode 5) 10: 0 1 2 4 5 6 11 | (mode 6) 11: 0 1 3 4 5 10 11 | chromaticized keep 0 7: N/A chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 4 9 10 11 | (mode 1) 2: 0 1 2 7 8 9 10 | (mode 2) 3: 0 1 6 7 8 9 11 | (mode 3) 4: 0 5 6 7 8 10 11 | (mode 4) 9: 0 1 2 3 5 6 7 | (mode 5) 10: 0 1 2 4 5 6 11 | (mode 6) 11: 0 1 3 4 5 10 11 | alt-chromaticized: N/A alt-chromaticized keep 0: (mode 0) 0: 0 2 3 4 5 9 10 | (mode 1) 2: 0 1 2 3 7 8 10 | (mode 2) 3: 0 1 2 6 7 9 11 | mela 41 Pavani (mode 3) 4: 0 1 5 6 8 10 11 | (mode 4) 5: 0 4 5 7 9 10 11 | (mode 5) 9: 0 1 3 5 6 7 8 | (mode 6) 10: 0 2 4 5 6 7 11 | alt-chromaticized keep 0 7: (mode 0) 0: 0 2 3 4 7 9 | major blues (mode 1) 2: 0 1 2 5 7 10 | (mode 2) 3: 0 1 4 6 9 11 | (mode 3) 4: 0 3 5 8 10 11 | (mode 4) 7: 0 2 5 7 8 9 | (mode 5) 9: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 0) 0: 0 2 3 4 5 9 10 | (mode 1) 2: 0 1 2 3 7 8 10 | (mode 2) 3: 0 1 2 6 7 9 11 | mela 41 Pavani (mode 3) 4: 0 1 5 6 8 10 11 | (mode 4) 5: 0 4 5 7 9 10 11 | (mode 5) 9: 0 1 3 5 6 7 8 | (mode 6) 10: 0 2 4 5 6 7 11 | (mode 0) 0: 0 1 2 3 4 6 8 9 11 | (mode 1) 1: 0 1 2 3 5 7 8 10 11 | phrygian & harmonic minor (mode 2) 2: 0 1 2 4 6 7 9 10 11 | (mode 3) 3: 0 1 3 5 6 8 9 10 11 | (mode 4) 4: 0 2 4 5 7 8 9 10 11 | (mode 5) 6: 0 2 3 5 6 7 8 9 10 | (mode 6) 8: 0 1 3 4 5 6 7 8 10 | (mode 7) 9: 0 2 3 4 5 6 7 9 11 | lydian & melodic minor (mode 8) 11: 0 1 2 3 4 5 7 9 10 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 4 7 9 | major blues (mode 1) 2: 0 1 2 5 7 10 | (mode 2) 3: 0 1 4 6 9 11 | (mode 3) 4: 0 3 5 8 10 11 | (mode 4) 7: 0 2 5 7 8 9 | (mode 5) 9: 0 3 5 6 7 10 | minor blues = blues hexachord (mode 0) 0: 0 2 3 4 5 9 10 | (mode 1) 2: 0 1 2 3 7 8 10 | (mode 2) 3: 0 1 2 6 7 9 11 | mela 41 Pavani (mode 3) 4: 0 1 5 6 8 10 11 | (mode 4) 5: 0 4 5 7 9 10 11 | (mode 5) 9: 0 1 3 5 6 7 8 | (mode 6) 10: 0 2 4 5 6 7 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 2 3 4 9 = 0: 0 2 3 4 9 = 2: 0 1 2 7 10 = 3: 0 1 6 9 11 = 4: 0 5 8 10 11 = 9: 0 3 5 6 7 1 2 2 0 1 2 7 10 = 0: 0 1 2 7 10 = 1: 0 1 6 9 11 = 2: 0 5 8 10 11 = 7: 0 3 5 6 7 = 10: 0 2 3 4 9 1 9 9 0 3 5 6 7 = 0: 0 3 5 6 7 = 3: 0 2 3 4 9 = 5: 0 1 2 7 10 = 6: 0 1 6 9 11 = 7: 0 5 8 10 11 Bright Layer Composition order pcset 1 0 2 3 4 9 = 0: 0 2 3 4 9 = 2: 0 1 2 7 10 = 3: 0 1 6 9 11 = 4: 0 5 8 10 11 = 9: 0 3 5 6 7 2 0 2 3 4 7 9 10 11 = 0: 0 2 3 4 7 9 10 11 = 2: 0 1 2 5 7 8 9 10 = 3: 0 1 4 6 7 8 9 11 = 4: 0 3 5 6 7 8 10 11 = 7: 0 2 3 4 5 7 8 9 = 9: 0 1 2 3 5 6 7 10 = 10: 0 1 2 4 5 6 9 11 = 11: 0 1 3 4 5 8 10 11 3 0 2 3 4 5 6 7 9 10 11 = 0: 0 2 3 4 5 6 7 9 10 11 = 2: 0 1 2 3 4 5 7 8 9 10 = 3: 0 1 2 3 4 6 7 8 9 11 = 4: 0 1 2 3 5 6 7 8 10 11 = 5: 0 1 2 4 5 6 7 9 10 11 = 6: 0 1 3 4 5 6 8 9 10 11 = 7: 0 2 3 4 5 7 8 9 10 11 = 9: 0 1 2 3 5 6 7 8 9 10 = 10: 0 1 2 4 5 6 7 8 9 11 = 11: 0 1 3 4 5 6 7 8 10 11 4 0 1 2 3 4 5 6 7 9 10 11 = 0: 0 1 2 3 4 5 6 7 9 10 11 = 1: 0 1 2 3 4 5 6 8 9 10 11 = 2: 0 1 2 3 4 5 7 8 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 10 11 = 4: 0 1 2 3 5 6 7 8 9 10 11 = 5: 0 1 2 4 5 6 7 8 9 10 11 = 6: 0 1 3 4 5 6 7 8 9 10 11 = 7: 0 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 = 10: 0 1 2 3 4 5 6 7 8 9 11 = 11: 0 1 2 3 4 5 6 7 8 10 11 5 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 2 3 4 9 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 3 = 3 = 3: 0 4 = 4 = 4: 0 9 = 9 = 9: 0 subchroma modal system: 0 1 0 2 = 0 2 = 0: 0 2 2: 0 10 2 3 = 2 3 = 2: 0 1 3: 0 11 3 4 = 3 4 = 3: 0 1 4: 0 11 4 9 = 4 9 = 4: 0 5 9: 0 7 9 0 = 0 9 = 9: 0 3 0: 0 9 subchroma modal system: 0 2 0 3 = 0 3 = 0: 0 3 3: 0 9 2 4 = 2 4 = 2: 0 2 4: 0 10 3 9 = 3 9 = 3 9: 0 6 4 0 = 0 4 = 0: 0 4 4: 0 8 9 2 = 2 9 = 9: 0 5 2: 0 7 subchroma modal system: 0 1 2 0 2 3 = 0 2 3 = 0: 0 2 3 2 3 4 = 2 3 4 = 2: 0 1 2 3: 0 1 11 4: 0 10 11 3 4 9 = 3 4 9 = 9: 0 6 7 4 9 0 = 0 4 9 = 9: 0 3 7 0: 0 4 9 9 0 2 = 0 2 9 = 9: 0 3 5 2: 0 7 10 subchroma modal system: 0 1 3 0 2 4 = 0 2 4 = 0: 0 2 4 2 3 9 = 2 3 9 = 2: 0 1 7 3 4 0 = 0 3 4 = 0: 0 3 4 4 9 2 = 2 4 9 = 2: 0 2 7 9: 0 5 7 4: 0 5 10 9 0 3 = 0 3 9 = 9: 0 3 6 0: 0 3 9 subchroma modal system: 0 1 2 3 0 2 3 4 = 0 2 3 4 = 0: 0 2 3 4 2 3 4 9 = 2 3 4 9 = 2: 0 1 2 7 9: 0 5 6 7 4: 0 5 10 11 3 4 9 0 = 0 3 4 9 = 0: 0 3 4 9 9: 0 3 6 7 4 9 0 2 = 0 2 4 9 = 0: 0 2 4 9 2: 0 2 7 10 9: 0 3 5 7 9 0 2 3 = 0 2 3 9 = 2: 0 1 7 10 9: 0 3 5 6 subchroma modal system: 0 1 2 3 4 0 2 3 4 9 = 0 2 3 4 9 = 0: 0 2 3 4 9 2: 0 1 2 7 10 9: 0 3 5 6 7 2 3 4 9 0 = 0 2 3 4 9 = 0: 0 2 3 4 9 2: 0 1 2 7 10 9: 0 3 5 6 7 3 4 9 0 2 = 0 2 3 4 9 = 0: 0 2 3 4 9 2: 0 1 2 7 10 9: 0 3 5 6 7 4 9 0 2 3 = 0 2 3 4 9 = 0: 0 2 3 4 9 2: 0 1 2 7 10 9: 0 3 5 6 7 9 0 2 3 4 = 0 2 3 4 9 = 0: 0 2 3 4 9 2: 0 1 2 7 10 9: 0 3 5 6 7 Subset Chord Types by Root Set 0 :0 4 0 :0 2 3 0 :0 2 4 0 :0 3 4 0 :0 3 9 0 :0 4 9 0 :0 2 3 4 0 :0 2 4 9 0 :0 3 4 9 0 :0 2 3 4 9 0 2 :0 2 0 2 3 4 9:0 0 3 :0 9 0 9 :0 3 2 :0 1 2 2 :0 1 7 2 :0 2 7 2 :0 7 10 2 :0 1 2 7 2 :0 1 7 10 2 :0 2 7 10 2 :0 1 2 7 10 2 3 :0 1 2 4 :0 10 2 9 :0 7 3 :0 1 11 3 4 :0 11 3 9 :0 6 4 :0 8 4 :0 5 10 4 :0 10 11 4 :0 5 10 11 4 9 :0 5 9 :0 3 5 9 :0 3 6 9 :0 3 7 9 :0 5 7 9 :0 6 7 9 :0 3 5 6 9 :0 3 5 7 9 :0 3 6 7 9 :0 5 6 7 9 :0 3 5 6 7 Superset Chord Types by Root Set 0 :0 2 3 4 9 0 :0 1 2 3 4 9 0 :0 2 3 4 6 9 0 :0 2 3 4 7 9 0 :0 2 3 4 9 10 0 :0 2 3 4 9 11 0 :0 1 2 3 4 7 9 0 :0 1 2 3 4 9 10 0 :0 1 2 3 4 9 11 0 :0 2 3 4 5 6 9 0 :0 2 3 4 5 7 9 0 :0 2 3 4 6 7 9 0 :0 2 3 4 5 9 10 0 :0 2 3 4 7 8 9 0 :0 2 3 4 7 9 10 0 :0 2 3 4 7 9 11 0 :0 2 3 4 8 9 11 0 :0 2 3 4 9 10 11 0 :0 1 2 3 4 5 7 9 0 :0 1 2 3 4 6 7 9 0 :0 1 2 3 4 7 8 9 0 :0 1 2 3 4 7 9 11 0 :0 1 2 3 4 9 10 11 0 :0 2 3 4 6 7 8 9 0 :0 2 3 4 5 6 9 10 0 :0 2 3 4 5 7 9 10 0 :0 2 3 4 5 7 9 11 0 :0 2 3 4 6 7 9 10 0 :0 2 3 4 6 7 9 11 0 :0 2 3 4 6 9 10 11 0 :0 2 3 4 7 8 9 10 0 :0 2 3 4 7 8 9 11 0 :0 2 3 4 8 9 10 11 0 :0 1 2 3 4 5 7 9 11 0 :0 2 3 4 6 7 8 9 11 0 1 :0 1 2 3 4 7 8 9 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 2 3 5 6 8 :0 1 2 3 4 6 7 8 9 10 11 0 1 2 4 5 7 11 :0 1 2 3 4 5 7 8 9 10 11 0 1 2 5 :0 1 2 3 4 7 8 9 10 11 0 1 3 4 6 10 11 :0 1 2 3 4 5 6 8 9 10 11 0 1 3 6 :0 1 2 3 4 6 8 9 10 11 0 1 3 7 8 9 10 :0 1 2 3 4 5 6 7 8 9 11 0 1 3 8 :0 1 2 3 4 6 7 8 9 11 0 1 3 10 :0 1 2 3 4 5 6 8 9 11 0 1 4 11 :0 1 2 3 4 5 8 9 10 11 0 1 7 :0 1 2 3 4 5 7 8 9 11 0 2 :0 1 2 3 4 7 9 10 0 2 :0 1 2 3 4 6 7 9 10 0 2 :0 1 2 3 4 7 8 9 10 0 2 3 5 :0 1 2 3 4 6 7 9 10 11 0 2 3 5 9 10 11 :0 1 2 3 4 5 6 7 9 10 11 0 2 5 :0 1 2 3 4 7 9 10 11 0 2 5 11 :0 1 2 3 4 5 7 9 10 11 0 2 6 7 8 9 11 :0 1 2 3 4 5 6 7 8 9 10 0 2 6 8 :0 1 2 3 4 6 7 8 9 10 0 2 7 11 :0 1 2 3 4 5 7 8 9 10 0 2 9 11 :0 1 2 3 4 5 6 7 9 10 0 2 11 :0 1 2 3 4 5 7 9 10 0 3 :0 1 2 3 4 6 7 9 11 0 3 9 10 :0 1 2 3 4 5 6 7 9 11 0 3 10 11 :0 1 2 3 4 5 6 9 10 11 0 4 5 6 7 9 10 :0 2 3 4 5 6 7 8 9 10 11 0 4 5 7 :0 2 3 4 5 7 8 9 10 11 0 4 6 10 :0 2 3 4 5 6 8 9 10 11 0 5 :0 2 3 4 7 9 10 11 0 5 :0 2 3 4 5 7 9 10 11 0 5 :0 2 3 4 6 7 9 10 11 0 5 :0 2 3 4 7 8 9 10 11 0 5 6 :0 2 3 4 6 7 8 9 10 11 0 5 9 10 :0 2 3 4 5 6 7 9 10 11 0 6 :0 2 3 4 6 7 8 9 10 0 6 7 9 :0 2 3 4 5 6 7 8 9 10 0 6 11 :0 1 2 3 4 5 6 8 9 10 0 7 :0 2 3 4 5 7 8 9 0 7 :0 1 2 3 4 5 7 8 9 0 7 :0 2 3 4 5 7 8 9 10 0 7 :0 2 3 4 5 7 8 9 11 0 7 8 9 :0 1 2 3 4 5 6 7 8 9 0 7 9 :0 2 3 4 5 6 7 8 9 0 7 9 10 :0 2 3 4 5 6 7 8 9 11 0 8 :0 1 2 3 4 6 7 8 9 0 9 :0 2 3 4 5 6 7 9 0 9 :0 1 2 3 4 5 6 7 9 0 9 :0 2 3 4 5 6 7 9 10 0 9 10 :0 2 3 4 5 6 7 9 11 0 10 :0 2 3 4 5 6 9 10 11 0 11 :0 1 2 3 4 5 6 9 10 1 :0 1 2 3 4 8 11 1 :0 1 2 3 7 8 11 1 :0 1 2 3 4 7 8 11 1 :0 1 2 3 4 8 10 11 1 :0 1 2 3 5 7 8 11 1 :0 1 2 3 6 7 8 11 1 :0 1 2 3 7 8 9 11 1 :0 1 2 3 4 5 7 8 11 1 :0 1 2 3 4 6 8 10 11 1 2 :0 1 2 3 7 8 10 11 1 2 :0 1 2 3 4 7 8 10 11 1 2 :0 1 2 3 6 7 8 10 11 1 2 :0 1 2 3 7 8 9 10 11 1 2 3 4 6 7 9 :0 1 2 3 5 6 7 8 9 10 11 1 2 3 6 :0 1 2 3 6 7 8 9 10 11 1 2 4 :0 1 2 3 5 7 8 10 11 1 2 4 7 :0 1 2 3 5 7 8 9 10 11 1 2 4 8 9 10 11 :0 1 2 3 4 5 6 7 8 10 11 1 2 4 9 :0 1 2 3 5 6 7 8 10 11 1 2 4 11 :0 1 2 3 4 5 7 8 10 11 1 2 8 :0 1 2 3 4 6 7 8 10 11 1 3 :0 1 2 3 5 6 8 9 11 1 3 :0 1 2 3 6 7 8 9 11 1 3 4 6 :0 1 2 3 5 6 8 9 10 11 1 3 7 9 :0 1 2 3 5 6 7 8 9 11 1 4 10 11 :0 1 2 3 4 5 6 8 10 11 1 7 :0 1 2 3 5 7 8 9 11 1 8 :0 1 2 3 4 6 7 8 11 1 8 9 10 :0 1 2 3 4 5 6 7 8 11 1 9 :0 1 2 3 5 6 7 8 11 2 :0 1 2 7 10 2 :0 1 2 3 7 10 2 :0 1 2 4 7 10 2 :0 1 2 5 7 10 2 :0 1 2 6 7 10 2 :0 1 2 7 8 10 2 :0 1 2 7 9 10 2 :0 1 2 7 10 11 2 :0 1 2 3 4 7 10 2 :0 1 2 3 5 7 10 2 :0 1 2 3 6 7 10 2 :0 1 2 4 5 7 10 2 :0 1 2 4 6 7 10 2 :0 1 2 3 7 8 10 2 :0 1 2 3 7 9 10 2 :0 1 2 3 7 10 11 2 :0 1 2 4 7 8 10 2 :0 1 2 4 7 9 10 2 :0 1 2 4 7 10 11 2 :0 1 2 5 7 8 10 2 :0 1 2 5 7 9 10 2 :0 1 2 5 7 10 11 2 :0 1 2 6 7 8 10 2 :0 1 2 6 7 9 10 2 :0 1 2 6 7 10 11 2 :0 1 2 7 8 9 10 2 :0 1 2 7 8 10 11 2 :0 1 2 7 9 10 11 2 :0 1 2 3 4 6 7 10 2 :0 1 2 3 4 7 8 10 2 :0 1 2 3 4 7 10 11 2 :0 1 2 4 5 6 7 10 2 :0 1 2 3 5 7 8 10 2 :0 1 2 3 5 7 9 10 2 :0 1 2 3 5 7 10 11 2 :0 1 2 3 6 7 8 10 2 :0 1 2 3 6 7 9 10 2 :0 1 2 3 6 7 10 11 2 :0 1 2 4 5 7 8 10 2 :0 1 2 4 5 7 9 10 2 :0 1 2 4 5 7 10 11 2 :0 1 2 4 6 7 9 10 2 :0 1 2 4 6 7 10 11 2 :0 1 2 3 7 8 9 10 2 :0 1 2 3 7 9 10 11 2 :0 1 2 4 7 8 9 10 2 :0 1 2 4 7 8 10 11 2 :0 1 2 5 6 7 8 10 2 :0 1 2 5 6 7 10 11 2 :0 1 2 5 7 9 10 11 2 :0 1 2 6 7 8 10 11 2 :0 1 2 6 7 8 9 10 2 :0 1 2 7 8 9 10 11 2 :0 1 2 3 4 6 7 10 11 2 :0 1 2 4 5 6 7 9 10 2 :0 1 2 3 5 7 9 10 11 2 3 :0 1 2 6 7 9 10 11 2 3 :0 1 2 3 6 7 9 10 11 2 3 :0 1 2 6 7 8 9 10 11 2 3 4 5 7 8 10 :0 1 2 4 5 6 7 8 9 10 11 2 3 4 7 :0 1 2 5 6 7 8 9 10 11 2 3 5 :0 1 2 4 6 7 9 10 11 2 3 5 8 :0 1 2 4 6 7 8 9 10 11 2 3 5 10 :0 1 2 4 5 6 7 9 10 11 2 3 9 :0 1 2 3 5 6 7 9 10 11 2 4 :0 1 2 5 7 8 10 11 2 4 :0 1 2 4 5 7 8 10 11 2 4 5 7 :0 1 2 4 5 7 8 9 10 11 2 4 7 :0 1 2 5 7 8 9 10 11 2 4 8 10 :0 1 2 4 5 6 7 8 10 11 2 5 :0 1 2 4 7 9 10 11 2 5 :0 1 2 4 5 7 9 10 11 2 5 :0 1 2 4 7 8 9 10 11 2 6 :0 1 2 3 6 7 8 9 10 2 6 7 9 :0 1 2 3 5 6 7 8 9 10 2 7 :0 1 2 3 5 7 8 9 10 2 7 :0 1 2 4 5 7 8 9 10 2 7 8 :0 1 2 4 5 6 7 8 9 10 2 8 :0 1 2 4 6 7 8 10 2 8 :0 1 2 3 4 6 7 8 10 2 8 :0 1 2 4 5 6 7 8 10 2 8 :0 1 2 4 6 7 8 9 10 2 8 :0 1 2 4 6 7 8 10 11 2 8 9 11 :0 1 2 3 4 5 6 7 8 10 2 9 :0 1 2 3 5 6 7 10 2 9 :0 1 2 3 5 6 7 8 10 2 9 :0 1 2 3 5 6 7 9 10 2 9 :0 1 2 3 5 6 7 10 11 2 9 10 11 :0 1 2 3 4 5 6 7 10 11 2 9 11 :0 1 2 3 4 5 6 7 10 2 10 :0 1 2 4 5 6 7 10 11 2 11 :0 1 2 3 4 5 7 10 2 11 :0 1 2 3 4 5 7 8 10 2 11 :0 1 2 3 4 5 7 10 11 3 :0 1 6 7 9 11 3 :0 1 2 6 7 9 11 3 :0 1 3 5 6 9 11 3 :0 1 3 6 7 9 11 3 :0 1 3 6 8 9 11 3 :0 1 4 5 6 9 11 3 :0 1 4 6 7 9 11 3 :0 1 4 6 8 9 11 3 :0 1 6 7 8 9 11 3 :0 1 6 7 9 10 11 3 :0 1 2 3 6 7 9 11 3 :0 1 2 4 6 7 9 11 3 :0 1 3 4 6 7 9 11 3 :0 1 3 4 6 9 10 11 3 :0 1 2 5 6 7 9 11 3 :0 1 4 5 6 7 9 11 3 :0 1 3 5 6 9 10 11 3 :0 1 3 6 7 8 9 11 3 :0 1 3 6 7 9 10 11 3 :0 1 5 6 7 9 10 11 3 :0 1 6 7 8 9 10 11 3 4 5 6 8 9 11 :0 1 3 4 5 6 7 8 9 10 11 3 4 5 8 :0 1 4 5 6 7 8 9 10 11 3 4 6 9 :0 1 3 5 6 7 8 9 10 11 3 4 6 11 :0 1 3 4 5 6 8 9 10 11 3 4 10 :0 1 2 4 5 6 8 9 10 11 3 5 :0 1 4 6 7 9 10 11 3 5 :0 1 3 4 6 7 9 10 11 3 5 :0 1 4 5 6 7 9 10 11 3 5 6 8 :0 1 3 4 6 7 8 9 10 11 3 5 8 :0 1 4 6 7 8 9 10 11 3 5 9 11 :0 1 3 4 5 6 7 9 10 11 3 6 :0 1 3 6 7 8 9 10 11 3 7 8 10 :0 1 2 4 5 6 7 8 9 11 3 8 :0 1 4 6 7 8 9 11 3 8 :0 1 2 4 6 7 8 9 11 3 8 :0 1 3 4 6 7 8 9 11 3 8 :0 1 4 5 6 7 8 9 11 3 8 9 :0 1 3 4 5 6 7 8 9 11 3 9 :0 1 3 5 6 7 9 11 3 9 :0 1 2 3 5 6 7 9 11 3 9 :0 1 3 4 5 6 7 9 11 3 9 :0 1 3 5 6 7 8 9 11 3 9 :0 1 3 5 6 7 9 10 11

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

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

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

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