Chord Type: 0 1 2 4 5 11

0 1 2 4 5 11

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Chord Type: 0 1 2 4 5 11

General Statistics Cardinality: 6 Jordan Number: 6-7 Forte Number: 6-z3 Forte Prime Form: [0,1,2,3,5,6] Zeitler Scale Name: Ian Ring's Scale Page 2103 Root Reference: 0 1 2 4 5 11 Tone Stacking: 0 1 1 2 1 6 Interval Stacking: 1 1 2 1 6 1 Binary: 1 1 1 0 1 1 0 0 0 0 0 1 Decimal Value: 2103 Interval Vector: 4 3 3 2 2 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.867 Harmonic Adjacency (0-1): 0.467 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: Scale Degrees: 122347 0 1 2 3 5 10 0 1 2 3 5 11 ->0 1 2 4 5 11 0 2 3 4 5 10 0 2 3 4 5 11 All Transpositions of Chord Type: +0= 0 1 2 4 5 11 | +1= 0 1 2 3 5 6 | +2= 1 2 3 4 6 7 | +3= 2 3 4 5 7 8 | +4= 3 4 5 6 8 9 | +5= 4 5 6 7 9 10 | +6= 5 6 7 8 10 11 | +7= 0 6 7 8 9 11 | +8= 0 1 7 8 9 10 | +9= 1 2 8 9 10 11 | +10= 0 2 3 9 10 11 | +11= 0 1 3 4 10 11 | Modes of Chord Type: (mode 0) 0: 0 1 2 4 5 11 | (mode 1) 1: 0 1 3 4 10 11 | (mode 2) 2: 0 2 3 9 10 11 | (mode 3) 4: 0 1 7 8 9 10 | (mode 4) 5: 0 6 7 8 9 11 | (mode 5) 11: 0 1 2 3 5 6 | Modes of Chord Type Sorted by Rootedness: 1.442(mode 1)1:0 1 3 4 10 11 | 1.050(mode 2)2:0 2 3 9 10 11 | 1.025(mode 3)4:0 1 7 8 9 10 | .833(mode 4)5:0 6 7 8 9 11 | .792(mode 0)0:0 1 2 4 5 11 | .225(mode 5)11:0 1 2 3 5 6 | Inversion at 0: 0 1 7 8 10 11 (mode 0) 0: 0 1 7 8 10 11 | (mode 1) 1: 0 6 7 9 10 11 | (mode 2) 7: 0 1 3 4 5 6 | (mode 3) 8: 0 2 3 4 5 11 | (mode 4) 10: 0 1 2 3 9 10 | (mode 5) 11: 0 1 2 8 9 11 | Times 7: 0 2 4 5 7 11 (mode 0) 0: 0 2 4 5 7 11 | M11 (mode 1) 2: 0 2 3 5 9 10 | (mode 2) 4: 0 1 3 7 8 10 | mb13b9 no 11th (mode 3) 5: 0 2 6 7 9 11 | (mode 4) 7: 0 4 5 7 9 10 | 13 no 9th (mode 5) 11: 0 1 3 5 6 8 | Times 5: 0 1 5 7 8 10 (mode 0) 0: 0 1 5 7 8 10 | (mode 1) 1: 0 4 6 7 9 11 | M13#11 no 9th (mode 2) 5: 0 2 3 5 7 8 | (mode 3) 7: 0 1 3 5 6 10 | (mode 4) 8: 0 2 4 5 9 11 | (mode 5) 10: 0 2 3 7 9 10 | m13 no 11th Modal System: 0 1 2 3 5 6 from root(s) 11 | "" Modes of Modal System: (mode 0) 0: 0 1 2 3 5 6 | (mode 1) 1: 0 1 2 4 5 11 | (mode 2) 2: 0 1 3 4 10 11 | (mode 3) 3: 0 2 3 9 10 11 | (mode 4) 5: 0 1 7 8 9 10 | (mode 5) 6: 0 6 7 8 9 11 | Complement: 3 6 7 8 9 10 (mode 0) 3: 0 3 4 5 6 7 | (mode 1) 6: 0 1 2 3 4 9 | (mode 2) 7: 0 1 2 3 8 11 | (mode 3) 8: 0 1 2 7 10 11 | (mode 4) 9: 0 1 6 9 10 11 | (mode 5) 10: 0 5 8 9 10 11 | All but the root (subchroma complement of 0): 1 2 4 5 11 (mode 0) 1: 0 1 3 4 10 | (mode 1) 2: 0 2 3 9 11 | mM13 no 5th, 11th (mode 2) 4: 0 1 7 9 10 | (mode 3) 5: 0 6 8 9 11 | (mode 4) 11: 0 2 3 5 6 | 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: 2 4 5 11 (mode 0) 2: 0 2 3 9 | (mode 1) 4: 0 1 7 10 | 7b9 no 3rd = -7b9 no 3rd (mode 2) 5: 0 6 9 11 | (mode 3) 11: 0 3 5 6 | blues tetrachord Dechromaticised but Keep 0 0 2 4 5 11 (mode 0) 0: 0 2 4 5 11 | (mode 1) 2: 0 2 3 9 10 | m13 no 5th, 11th (mode 2) 4: 0 1 7 8 10 | (mode 3) 5: 0 6 7 9 11 | (mode 4) 11: 0 1 3 5 6 | locrian pentachord Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 0 2 4 5 11 (mode 0) 0: 0 2 4 5 11 | (mode 1) 2: 0 2 3 9 10 | m13 no 5th, 11th (mode 2) 4: 0 1 7 8 10 | (mode 3) 5: 0 6 7 9 11 | (mode 4) 11: 0 1 3 5 6 | locrian pentachord 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: N/A chromaticized keep 0 3 4 7: N/A alt-chromaticized: N/A alt-chromaticized keep 0: (mode 0) 0: 0 1 2 4 5 6 11 | (mode 1) 1: 0 1 3 4 5 10 11 | (mode 2) 2: 0 2 3 4 9 10 11 | (mode 3) 4: 0 1 2 7 8 9 10 | (mode 4) 5: 0 1 6 7 8 9 11 | (mode 5) 6: 0 5 6 7 8 10 11 | (mode 6) 11: 0 1 2 3 5 6 7 | (mode 0) 0: 0 1 2 4 5 7 11 | (mode 1) 1: 0 1 3 4 6 10 11 | (mode 2) 2: 0 2 3 5 9 10 11 | (mode 3) 4: 0 1 3 7 8 9 10 | (mode 4) 5: 0 2 6 7 8 9 11 | (mode 5) 7: 0 4 5 6 7 9 10 | (mode 6) 11: 0 1 2 3 5 6 8 | (mode 0) 0: 0 1 2 4 5 9 11 | (mode 1) 1: 0 1 3 4 8 10 11 | (mode 2) 2: 0 2 3 7 9 10 11 | (mode 3) 4: 0 1 5 7 8 9 10 | (mode 4) 5: 0 4 6 7 8 9 11 | (mode 5) 9: 0 2 3 4 5 7 8 | (mode 6) 11: 0 1 2 3 5 6 10 | (mode 0) 0: 0 1 2 3 4 5 8 10 11 | (mode 1) 1: 0 1 2 3 4 7 9 10 11 | (mode 2) 2: 0 1 2 3 6 8 9 10 11 | (mode 3) 3: 0 1 2 5 7 8 9 10 11 | mela 1 Kanakangi (mode 4) 4: 0 1 4 6 7 8 9 10 11 | (mode 5) 5: 0 3 5 6 7 8 9 10 11 | (mode 6) 8: 0 2 3 4 5 6 7 8 9 | (mode 7) 10: 0 1 2 3 4 5 6 7 10 | (mode 8) 11: 0 1 2 3 4 5 6 9 11 | alt-chromaticized keep 0 7: (mode 0) 0: 0 1 2 4 5 6 11 | (mode 1) 1: 0 1 3 4 5 10 11 | (mode 2) 2: 0 2 3 4 9 10 11 | (mode 3) 4: 0 1 2 7 8 9 10 | (mode 4) 5: 0 1 6 7 8 9 11 | (mode 5) 6: 0 5 6 7 8 10 11 | (mode 6) 11: 0 1 2 3 5 6 7 | (mode 0) 0: 0 1 2 4 5 9 11 | (mode 1) 1: 0 1 3 4 8 10 11 | (mode 2) 2: 0 2 3 7 9 10 11 | (mode 3) 4: 0 1 5 7 8 9 10 | (mode 4) 5: 0 4 6 7 8 9 11 | (mode 5) 9: 0 2 3 4 5 7 8 | (mode 6) 11: 0 1 2 3 5 6 10 | (mode 0) 0: 0 1 2 4 5 7 11 | (mode 1) 1: 0 1 3 4 6 10 11 | (mode 2) 2: 0 2 3 5 9 10 11 | (mode 3) 4: 0 1 3 7 8 9 10 | (mode 4) 5: 0 2 6 7 8 9 11 | (mode 5) 7: 0 4 5 6 7 9 10 | (mode 6) 11: 0 1 2 3 5 6 8 | (mode 0) 0: 0 1 2 3 4 5 8 10 11 | (mode 1) 1: 0 1 2 3 4 7 9 10 11 | (mode 2) 2: 0 1 2 3 6 8 9 10 11 | (mode 3) 3: 0 1 2 5 7 8 9 10 11 | mela 1 Kanakangi (mode 4) 4: 0 1 4 6 7 8 9 10 11 | (mode 5) 5: 0 3 5 6 7 8 9 10 11 | (mode 6) 8: 0 2 3 4 5 6 7 8 9 | (mode 7) 10: 0 1 2 3 4 5 6 7 10 | (mode 8) 11: 0 1 2 3 4 5 6 9 11 | (mode 0) 0: 0 1 2 3 4 5 7 8 10 11 | (mode 1) 1: 0 1 2 3 4 6 7 9 10 11 | aux. diminished scale & lydian = 2367AB & aux. diminished scale (mode 2) 2: 0 1 2 3 5 6 8 9 10 11 | diminished scale & locrian (mode 3) 3: 0 1 2 4 5 7 8 9 10 11 | 014589 & bebop major = Spanish Gypsy & ionian (mode 4) 4: 0 1 3 4 6 7 8 9 10 11 | 03478B & aux. diminished scale (mode 5) 5: 0 2 3 5 6 7 8 9 10 11 | diminished scale & dorian = diminished scale & aeolean (mode 6) 7: 0 1 3 4 5 6 7 8 9 10 | aux. diminished scale & phrygian = aux. diminished scale & locrian = 014589 & aux. diminished scale (mode 7) 8: 0 2 3 4 5 6 7 8 9 11 | lydian & harmonic minor = diminished scale & ionian = diminished scale & lydian (mode 8) 10: 0 1 2 3 4 5 6 7 9 10 | aux. diminished scale & dorian (mode 9) 11: 0 1 2 3 4 5 6 8 9 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 4 5 9 11 | (mode 1) 1: 0 1 3 4 8 10 11 | (mode 2) 2: 0 2 3 7 9 10 11 | (mode 3) 4: 0 1 5 7 8 9 10 | (mode 4) 5: 0 4 6 7 8 9 11 | (mode 5) 9: 0 2 3 4 5 7 8 | (mode 6) 11: 0 1 2 3 5 6 10 | (mode 0) 0: 0 1 2 4 5 6 11 | (mode 1) 1: 0 1 3 4 5 10 11 | (mode 2) 2: 0 2 3 4 9 10 11 | (mode 3) 4: 0 1 2 7 8 9 10 | (mode 4) 5: 0 1 6 7 8 9 11 | (mode 5) 6: 0 5 6 7 8 10 11 | (mode 6) 11: 0 1 2 3 5 6 7 | (mode 0) 0: 0 1 2 4 5 7 11 | (mode 1) 1: 0 1 3 4 6 10 11 | (mode 2) 2: 0 2 3 5 9 10 11 | (mode 3) 4: 0 1 3 7 8 9 10 | (mode 4) 5: 0 2 6 7 8 9 11 | (mode 5) 7: 0 4 5 6 7 9 10 | (mode 6) 11: 0 1 2 3 5 6 8 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 2 4 5 11 = 0: 0 1 2 4 5 11 = 1: 0 1 3 4 10 11 = 2: 0 2 3 9 10 11 = 4: 0 1 7 8 9 10 = 5: 0 6 7 8 9 11 = 11: 0 1 2 3 5 6 1 1 1 0 1 3 4 10 11 = 0: 0 1 3 4 10 11 = 1: 0 2 3 9 10 11 = 3: 0 1 7 8 9 10 = 4: 0 6 7 8 9 11 = 10: 0 1 2 3 5 6 = 11: 0 1 2 4 5 11 1 2 2 0 2 3 9 10 11 = 0: 0 2 3 9 10 11 = 2: 0 1 7 8 9 10 = 3: 0 6 7 8 9 11 = 9: 0 1 2 3 5 6 = 10: 0 1 2 4 5 11 = 11: 0 1 3 4 10 11 1 4 4 0 1 7 8 9 10 = 0: 0 1 7 8 9 10 = 1: 0 6 7 8 9 11 = 7: 0 1 2 3 5 6 = 8: 0 1 2 4 5 11 = 9: 0 1 3 4 10 11 = 10: 0 2 3 9 10 11 1 5 5 0 6 7 8 9 11 = 0: 0 6 7 8 9 11 = 6: 0 1 2 3 5 6 = 7: 0 1 2 4 5 11 = 8: 0 1 3 4 10 11 = 9: 0 2 3 9 10 11 = 11: 0 1 7 8 9 10 1 11 11 0 1 2 3 5 6 = 0: 0 1 2 3 5 6 = 1: 0 1 2 4 5 11 = 2: 0 1 3 4 10 11 = 3: 0 2 3 9 10 11 = 5: 0 1 7 8 9 10 = 6: 0 6 7 8 9 11 Bright Layer Composition order pcset 1 0 1 2 4 5 11 = 0: 0 1 2 4 5 11 = 1: 0 1 3 4 10 11 = 2: 0 2 3 9 10 11 = 4: 0 1 7 8 9 10 = 5: 0 6 7 8 9 11 = 11: 0 1 2 3 5 6 2 0 1 2 4 5 6 7 8 9 11 = 0: 0 1 2 4 5 6 7 8 9 11 = 1: 0 1 3 4 5 6 7 8 10 11 = 2: 0 2 3 4 5 6 7 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 = 5: 0 1 2 3 4 6 7 8 9 11 = 6: 0 1 2 3 5 6 7 8 10 11 = 7: 0 1 2 4 5 6 7 9 10 11 = 8: 0 1 3 4 5 6 8 9 10 11 = 9: 0 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 5 6 7 8 9 10 3 0 1 2 3 4 5 6 7 8 9 11 = 0: 0 1 2 3 4 5 6 7 8 9 11 = 1: 0 1 2 3 4 5 6 7 8 10 11 = 2: 0 1 2 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 5 6 8 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 11 = 5: 0 1 2 3 4 6 7 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 10 11 = 7: 0 1 2 4 5 6 7 8 9 10 11 = 8: 0 1 3 4 5 6 7 8 9 10 11 = 9: 0 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 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 1 2 4 5 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 2 = 2 = 2: 0 4 = 4 = 4: 0 5 = 5 = 5: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 2 = 1 2 = 1: 0 1 2: 0 11 2 4 = 2 4 = 2: 0 2 4: 0 10 4 5 = 4 5 = 4: 0 1 5: 0 11 5 11 = 5 11 = 5 11: 0 6 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 2 = 0 2 = 0: 0 2 2: 0 10 1 4 = 1 4 = 1: 0 3 4: 0 9 2 5 = 2 5 = 2: 0 3 5: 0 9 4 11 = 4 11 = 11: 0 5 4: 0 7 5 0 = 0 5 = 0: 0 5 5: 0 7 11 1 = 1 11 = 11: 0 2 1: 0 10 subchroma modal system: 0 3 0 4 = 0 4 = 0: 0 4 4: 0 8 1 5 = 1 5 = 1: 0 4 5: 0 8 2 11 = 2 11 = 11: 0 3 2: 0 9 4 0 = 0 4 = 0: 0 4 4: 0 8 5 1 = 1 5 = 1: 0 4 5: 0 8 11 2 = 2 11 = 11: 0 3 2: 0 9 subchroma modal system: 0 1 2 0 1 2 = 0 1 2 = 0: 0 1 2 1: 0 1 11 2: 0 10 11 1 2 4 = 1 2 4 = 1: 0 1 3 2: 0 2 11 2 4 5 = 2 4 5 = 2: 0 2 3 4 5 11 = 4 5 11 = 4: 0 1 7 5 11 0 = 0 5 11 = 5: 0 6 7 11 0 1 = 0 1 11 = 11: 0 1 2 0: 0 1 11 1: 0 10 11 subchroma modal system: 0 1 3 0 1 4 = 0 1 4 = 0: 0 1 4 1: 0 3 11 1 2 5 = 1 2 5 = 1: 0 1 4 2: 0 3 11 2 4 11 = 2 4 11 = 11: 0 3 5 4: 0 7 10 4 5 0 = 0 4 5 = 0: 0 4 5 5: 0 7 11 5 11 1 = 1 5 11 = 1: 0 4 10 11 0 2 = 0 2 11 = 11: 0 1 3 0: 0 2 11 subchroma modal system: 0 1 4 0 1 5 = 0 1 5 = 1: 0 4 11 5: 0 7 8 1 2 11 = 1 2 11 = 11: 0 2 3 2 4 0 = 0 2 4 = 0: 0 2 4 4 5 1 = 1 4 5 = 1: 0 3 4 5 11 2 = 2 5 11 = 11: 0 3 6 2: 0 3 9 11 0 4 = 0 4 11 = 0: 0 4 11 4: 0 7 8 subchroma modal system: 0 2 4 0 2 5 = 0 2 5 = 2: 0 3 10 5: 0 7 9 1 4 11 = 1 4 11 = 1: 0 3 10 4: 0 7 9 2 5 0 = 0 2 5 = 2: 0 3 10 5: 0 7 9 4 11 1 = 1 4 11 = 1: 0 3 10 4: 0 7 9 5 0 2 = 0 2 5 = 2: 0 3 10 5: 0 7 9 11 1 4 = 1 4 11 = 1: 0 3 10 4: 0 7 9 subchroma modal system: 0 1 2 3 0 1 2 4 = 0 1 2 4 = 0: 0 1 2 4 1: 0 1 3 11 2: 0 2 10 11 1 2 4 5 = 1 2 4 5 = 1: 0 1 3 4 2: 0 2 3 11 2 4 5 11 = 2 4 5 11 = 4: 0 1 7 10 11: 0 3 5 6 4 5 11 0 = 0 4 5 11 = 4: 0 1 7 8 0: 0 4 5 11 5: 0 6 7 11 5 11 0 1 = 0 1 5 11 = 1: 0 4 10 11 5: 0 6 7 8 11 0 1 2 = 0 1 2 11 = 11: 0 1 2 3 1: 0 1 10 11 2: 0 9 10 11 subchroma modal system: 0 1 2 4 0 1 2 5 = 0 1 2 5 = 1: 0 1 4 11 2: 0 3 10 11 5: 0 7 8 9 1 2 4 11 = 1 2 4 11 = 11: 0 2 3 5 1: 0 1 3 10 2: 0 2 9 11 4: 0 7 9 10 2 4 5 0 = 0 2 4 5 = 0: 0 2 4 5 2: 0 2 3 10 5: 0 7 9 11 4 5 11 1 = 1 4 5 11 = 1: 0 3 4 10 4: 0 1 7 9 5 11 0 2 = 0 2 5 11 = 11: 0 1 3 6 2: 0 3 9 10 5: 0 6 7 9 11 0 1 4 = 0 1 4 11 = 0: 0 1 4 11 1: 0 3 10 11 4: 0 7 8 9 subchroma modal system: 0 1 3 4 0 1 4 5 = 0 1 4 5 = 0: 0 1 4 5 1: 0 3 4 11 5: 0 7 8 11 1 2 5 11 = 1 2 5 11 = 11: 0 2 3 6 1: 0 1 4 10 2: 0 3 9 11 2 4 11 0 = 0 2 4 11 = 11: 0 1 3 5 0: 0 2 4 11 2: 0 2 9 10 4: 0 7 8 10 4 5 0 1 = 0 1 4 5 = 0: 0 1 4 5 1: 0 3 4 11 5: 0 7 8 11 5 11 1 2 = 1 2 5 11 = 11: 0 2 3 6 1: 0 1 4 10 2: 0 3 9 11 11 0 2 4 = 0 2 4 11 = 11: 0 1 3 5 0: 0 2 4 11 2: 0 2 9 10 4: 0 7 8 10 subchroma modal system: 0 1 2 3 4 0 1 2 4 5 = 0 1 2 4 5 = 0: 0 1 2 4 5 1: 0 1 3 4 11 2: 0 2 3 10 11 5: 0 7 8 9 11 1 2 4 5 11 = 1 2 4 5 11 = 1: 0 1 3 4 10 11: 0 2 3 5 6 2: 0 2 3 9 11 4: 0 1 7 9 10 2 4 5 11 0 = 0 2 4 5 11 = 11: 0 1 3 5 6 2: 0 2 3 9 10 4: 0 1 7 8 10 5: 0 6 7 9 11 4 5 11 0 1 = 0 1 4 5 11 = 0: 0 1 4 5 11 1: 0 3 4 10 11 4: 0 1 7 8 9 5: 0 6 7 8 11 5 11 0 1 2 = 0 1 2 5 11 = 11: 0 1 2 3 6 1: 0 1 4 10 11 2: 0 3 9 10 11 5: 0 6 7 8 9 11 0 1 2 4 = 0 1 2 4 11 = 11: 0 1 2 3 5 0: 0 1 2 4 11 1: 0 1 3 10 11 2: 0 2 9 10 11 4: 0 7 8 9 10 subchroma modal system: 0 1 2 3 4 5 0 1 2 4 5 11 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 1 2 4 5 11 0 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 2 4 5 11 0 1 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 4 5 11 0 1 2 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 5 11 0 1 2 4 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 11 0 1 2 4 5 = 0 1 2 4 5 11 = 11: 0 1 2 3 5 6 0: 0 1 2 4 5 11 1: 0 1 3 4 10 11 2: 0 2 3 9 10 11 4: 0 1 7 8 9 10 5: 0 6 7 8 9 11 Subset Chord Types by Root Set 0 :0 2 4 0 :0 4 5 0 :0 1 2 4 0 :0 1 4 5 0 :0 2 4 5 0 :0 2 4 11 0 :0 4 5 11 0 :0 1 2 4 5 0 :0 1 2 4 11 0 :0 1 4 5 11 0 :0 1 2 4 5 11 0 1 :0 4 0 1 :0 1 4 0 1 :0 1 11 0 1 :0 4 11 0 1 :0 1 4 11 0 1 2 4 5 11:0 0 1 2 5 :0 11 0 1 4 11 :0 1 0 2 :0 2 11 0 2 11 :0 2 0 11 :0 5 0 11 :0 1 2 1 :0 3 4 1 :0 4 10 1 :0 1 3 4 1 :0 1 3 10 1 :0 1 3 11 1 :0 1 4 10 1 :0 3 4 10 1 :0 3 4 11 1 :0 1 10 11 1 :0 4 10 11 1 :0 1 3 4 10 1 :0 1 3 4 11 1 :0 1 3 10 11 1 :0 1 4 10 11 1 :0 3 4 10 11 1 :0 1 3 4 10 11 1 2 :0 3 10 1 2 :0 3 11 1 2 :0 10 11 1 2 :0 3 10 11 1 2 4 :0 10 1 2 11 :0 3 1 11 :0 1 3 2 :0 3 9 2 :0 2 3 10 2 :0 2 3 11 2 :0 2 9 10 2 :0 2 9 11 2 :0 2 10 11 2 :0 3 9 10 2 :0 3 9 11 2 :0 9 10 11 2 :0 2 3 9 10 2 :0 2 3 9 11 2 :0 2 3 10 11 2 :0 2 9 10 11 2 :0 3 9 10 11 2 :0 2 3 9 10 11 2 4 5 :0 9 2 11 :0 2 3 4 :0 1 7 4 :0 7 10 4 :0 1 7 8 4 :0 1 7 9 4 :0 1 7 10 4 :0 7 8 10 4 :0 7 9 10 4 :0 1 7 8 9 4 :0 1 7 8 10 4 :0 1 7 9 10 4 :0 7 8 9 10 4 :0 1 7 8 9 10 4 5 :0 7 4 5 :0 8 4 5 :0 7 8 4 5 :0 7 9 4 5 :0 7 8 9 5 :0 6 7 5 :0 7 11 5 :0 6 7 8 5 :0 6 7 9 5 :0 6 7 11 5 :0 7 8 11 5 :0 7 9 11 5 :0 6 7 8 9 5 :0 6 7 8 11 5 :0 6 7 9 11 5 :0 7 8 9 11 5 :0 6 7 8 9 11 5 11 :0 6 11 :0 3 5 11 :0 3 6 11 :0 1 2 3 11 :0 1 3 5 11 :0 2 3 5 11 :0 1 3 6 11 :0 2 3 6 11 :0 3 5 6 11 :0 1 2 3 5 11 :0 1 2 3 6 11 :0 1 3 5 6 11 :0 2 3 5 6 11 :0 1 2 3 5 6 Superset Chord Types by Root Set 0 :0 1 2 4 5 11 0 :0 1 2 4 5 6 11 0 :0 1 2 4 5 7 11 0 :0 1 2 3 4 5 7 11 0 :0 1 2 4 5 6 7 11 0 :0 1 2 4 5 7 8 11 0 :0 1 2 4 5 7 9 11 0 :0 1 2 4 5 7 10 11 0 :0 1 2 3 4 5 7 9 11 0 :0 1 2 4 5 6 7 8 11 0 :0 1 2 4 5 6 7 9 11 0 :0 1 2 4 5 6 7 10 11 0 :0 1 2 4 5 7 8 9 11 0 :0 1 2 4 5 7 8 10 11 0 :0 1 2 4 5 7 9 10 11 0 1 :0 1 2 3 4 5 7 10 11 0 1 2 :0 1 2 3 4 5 7 9 10 11 0 1 2 3 :0 1 2 3 4 5 8 9 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 2 3 4 9 :0 1 2 3 4 5 7 8 9 10 11 0 1 2 3 8 11 :0 1 2 3 4 5 6 8 9 10 11 0 1 2 7 10 11 :0 1 2 3 4 5 6 7 9 10 11 0 1 2 11 :0 1 2 3 4 5 6 9 10 11 0 1 6 9 10 11 :0 1 2 3 4 5 6 7 8 10 11 0 1 9 :0 1 2 3 4 5 7 8 10 11 0 1 10 11 :0 1 2 3 4 5 6 7 10 11 0 1 11 :0 1 2 3 4 5 6 8 10 11 0 3 :0 1 2 4 5 6 8 9 10 11 0 3 4 :0 1 2 4 5 7 8 9 10 11 0 3 4 5 6 7 :0 1 2 4 5 6 7 8 9 10 11 0 5 :0 1 2 4 5 6 7 8 9 11 0 5 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 11 0 6 :0 1 2 4 5 6 7 8 10 11 0 7 :0 1 2 4 5 6 7 9 10 11 0 8 11 :0 1 2 3 4 5 6 8 9 11 0 9 :0 1 2 3 4 5 7 8 11 0 9 :0 1 2 3 4 5 7 8 9 11 0 9 10 11 :0 1 2 3 4 5 6 7 8 11 0 10 11 :0 1 2 3 4 5 6 7 11 0 10 11 :0 1 2 3 4 5 6 7 9 11 1 :0 1 3 4 10 11 1 :0 1 2 3 4 10 11 1 :0 1 3 4 5 10 11 1 :0 1 3 4 6 10 11 1 :0 1 3 4 7 10 11 1 :0 1 3 4 8 10 11 1 :0 1 3 4 9 10 11 1 :0 1 2 3 4 7 10 11 1 :0 1 2 3 4 8 10 11 1 :0 1 3 4 5 7 10 11 1 :0 1 3 4 6 7 10 11 1 :0 1 3 4 5 9 10 11 1 :0 1 3 4 6 8 10 11 1 :0 1 3 4 6 9 10 11 1 :0 1 3 4 7 8 10 11 1 :0 1 3 4 7 9 10 11 1 :0 1 3 4 8 9 10 11 1 :0 1 2 3 4 6 8 10 11 1 :0 1 2 3 4 7 8 10 11 1 :0 1 3 4 5 6 7 10 11 1 :0 1 3 4 5 7 8 10 11 1 :0 1 3 4 5 7 9 10 11 1 :0 1 3 4 6 7 8 10 11 1 :0 1 3 4 6 7 9 10 11 1 2 :0 1 2 3 4 9 10 11 1 2 :0 1 2 3 4 7 9 10 11 1 2 3 :0 1 2 3 4 6 8 9 10 11 1 2 3 4 :0 1 2 3 4 7 8 9 10 11 1 2 3 4 5 10 :0 1 2 3 4 6 7 8 9 10 11 1 2 10 :0 1 2 3 4 6 7 9 10 11 1 4 :0 1 3 4 7 8 9 10 11 1 4 :0 1 3 4 5 7 8 9 10 11 1 4 5 :0 1 3 4 6 7 8 9 10 11 1 4 5 6 7 8 :0 1 3 4 5 6 7 8 9 10 11 1 6 :0 1 3 4 5 6 7 8 10 11 1 7 :0 1 3 4 5 6 7 9 10 11 1 8 :0 1 3 4 5 6 8 9 10 11 1 10 :0 1 2 3 4 6 7 10 11 1 10 :0 1 2 3 4 6 7 8 10 11 2 :0 2 3 9 10 11 2 :0 2 3 4 9 10 11 2 :0 2 3 5 9 10 11 2 :0 2 3 6 9 10 11 2 :0 2 3 7 9 10 11 2 :0 1 2 3 7 9 10 11 2 :0 2 3 4 6 9 10 11 2 :0 2 3 4 7 9 10 11 2 :0 2 3 4 8 9 10 11 2 :0 2 3 5 7 9 10 11 2 :0 2 3 5 8 9 10 11 2 :0 2 3 6 7 9 10 11 2 :0 2 3 7 8 9 10 11 2 :0 1 2 3 5 7 9 10 11 2 :0 1 2 3 6 7 9 10 11 2 :0 2 3 4 5 6 9 10 11 2 :0 2 3 4 5 7 9 10 11 2 :0 2 3 4 6 7 9 10 11 2 :0 2 3 4 7 8 9 10 11 2 :0 2 3 5 6 8 9 10 11 2 :0 2 3 5 6 7 9 10 11 2 :0 2 3 5 7 8 9 10 11 2 3 4 :0 1 2 3 7 8 9 10 11 2 3 4 :0 1 2 3 5 7 8 9 10 11 2 3 4 5 :0 1 2 3 6 7 8 9 10 11 2 3 4 5 6 11 :0 1 2 3 5 6 7 8 9 10 11 2 3 11 :0 1 2 3 5 6 8 9 10 11 2 5 :0 2 3 6 7 8 9 10 11 2 5 :0 2 3 4 6 7 8 9 10 11 2 5 6 :0 2 3 5 6 7 8 9 10 11 2 5 6 7 8 9 :0 2 3 4 5 6 7 8 9 10 11 2 7 :0 2 3 4 5 6 7 9 10 11 2 8 :0 2 3 4 5 6 8 9 10 11 2 9 :0 2 3 4 5 7 8 9 10 11 2 11 :0 1 2 3 5 6 7 9 10 11 3 4 :0 1 2 7 8 9 10 11 3 4 :0 1 2 5 7 8 9 10 11 3 4 :0 1 2 4 7 8 9 10 11 3 4 5 :0 1 2 6 7 8 9 10 11 3 4 5 :0 1 2 4 6 7 8 9 10 11 3 4 5 6 :0 1 2 5 6 7 8 9 10 11 4 :0 1 7 8 9 10 4 :0 1 2 7 8 9 10 4 :0 1 3 7 8 9 10 4 :0 1 4 7 8 9 10 4 :0 1 5 7 8 9 10 4 :0 1 6 7 8 9 10 4 :0 1 7 8 9 10 11 4 :0 1 2 3 7 8 9 10 4 :0 1 2 4 7 8 9 10 4 :0 1 3 4 7 8 9 10 4 :0 1 2 6 7 8 9 10 4 :0 1 3 5 7 8 9 10 4 :0 1 3 6 7 8 9 10 4 :0 1 4 5 7 8 9 10 4 :0 1 4 6 7 8 9 10 4 :0 1 3 7 8 9 10 11 4 :0 1 4 7 8 9 10 11 4 :0 1 5 7 8 9 10 11 4 :0 1 2 3 4 7 8 9 10 4 :0 1 2 3 5 7 8 9 10 4 :0 1 2 3 6 7 8 9 10 4 :0 1 2 4 5 7 8 9 10 4 :0 1 2 4 6 7 8 9 10 4 :0 1 3 4 5 7 8 9 10 4 :0 1 3 4 6 7 8 9 10 4 :0 1 3 5 6 7 8 9 10 4 :0 1 3 5 7 8 9 10 11 4 :0 1 4 5 7 8 9 10 11 4 5 :0 1 6 7 8 9 10 11 4 5 :0 1 3 6 7 8 9 10 11 4 5 :0 1 4 6 7 8 9 10 11 4 5 6 :0 1 3 5 6 7 8 9 10 11 4 5 6 7 :0 1 4 5 6 7 8 9 10 11 4 7 :0 1 4 5 6 7 8 9 10 4 7 :0 1 2 4 5 6 7 8 9 10 4 7 8 :0 1 3 4 5 6 7 8 9 10 4 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 10 4 9 :0 1 2 3 4 5 7 8 9 10 4 10 :0 1 2 3 4 6 7 8 9 10 4 11 :0 1 2 3 5 6 7 8 9 10 5 :0 6 7 8 9 11 5 :0 1 6 7 8 9 11 5 :0 2 6 7 8 9 11 5 :0 3 6 7 8 9 11 5 :0 4 6 7 8 9 11 5 :0 6 7 8 9 10 11 5 :0 1 3 6 7 8 9 11 5 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7 :0 2 3 4 5 6 7 9 10 7 :0 2 4 5 6 7 8 9 10 7 :0 1 4 5 6 7 9 10 11 7 :0 2 4 5 6 7 9 10 11 7 :0 3 4 5 6 7 9 10 11 7 8 :0 3 4 5 6 7 8 9 10 7 8 9 :0 2 3 4 5 6 7 8 9 10 7 10 11 :0 1 2 3 4 5 6 7 9 10 8 9 :0 2 3 4 5 6 7 8 9 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 8 11 :0 1 2 3 4 5 6 8 9 10 9 :0 2 3 4 5 7 8 9 :0 1 2 3 4 5 7 8 9 :0 2 3 4 5 7 8 9 9 :0 2 3 4 5 7 8 10 9 :0 2 3 4 5 7 8 11 9 :0 2 3 4 5 6 7 8 9 :0 1 2 3 4 5 7 8 9 9 :0 1 2 3 4 5 7 8 10 9 :0 2 3 4 5 6 7 8 10 9 :0 2 3 4 5 6 7 8 11 9 :0 2 3 4 5 7 8 9 10 9 :0 2 3 4 5 7 8 9 11 9 :0 2 3 4 5 7 8 10 11 9 10 11 :0 1 2 3 4 5 6 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 10 10 :0 1 2 3 4 6 7 10 :0 1 2 3 4 6 7 8 10 :0 1 2 3 4 6 7 9 10 :0 1 2 3 4 6 7 10 10 :0 1 2 3 4 6 7 11 10 :0 1 2 3 4 6 7 8 9 10 :0 1 2 3 4 6 7 8 10 10 :0 1 2 3 4 6 7 8 11 10 :0 1 2 3 4 6 7 9 10 10 :0 1 2 3 4 6 7 9 11 10 11 :0 1 2 3 4 5 6 7 10 11 :0 1 2 3 4 5 6 7 9 10 11 :0 1 2 3 4 5 6 7 10 11 :0 1 2 3 5 6 11 :0 1 2 3 4 5 6 11 :0 1 2 3 5 6 7 11 :0 1 2 3 5 6 10 11

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

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

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

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

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

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

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