Chord Type: 0 2 4 5 7 8

0 2 4 5 7 8

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Chord Type: 0 2 4 5 7 8

Modal System Fun Facts 0 1 3 4 8 10 Subset of Melodic Minor Modal System Subset of Dorian Blues Scale Subset of Harmonic Major Modal System General Statistics Cardinality: 6 Jordan Number: 6-35 Forte Number: 6-z24 Forte Prime Form: [0,1,3,4,6,8] Zeitler Scale Name: Ronimic Ian Ring's Scale Page 437 Root Reference: 0 2 4 5 7 8 Tone Stacking: 0 2 2 1 2 1 Interval Stacking: 2 2 1 2 1 4 Binary: 1 0 1 0 1 1 0 1 1 0 0 0 Decimal Value: 437 Interval Vector: 2 3 3 3 3 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.533 Harmonic Adjacency (0-1): 0.733 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: 1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456) 0 1 3 5 7 8 0 1 3 5 7 9 0 1 3 6 7 8 0 1 3 6 7 9 0 1 4 5 7 8 0 1 4 5 7 9 0 1 4 6 7 8 0 1 4 6 7 9 0 2 3 5 6 8 0 2 3 5 7 8 0 2 3 5 7 9 0 2 3 6 7 8 0 2 3 6 7 9 = Bridge chord ->0 2 4 5 7 8 0 2 4 5 7 9 = type C ACH 0 2 4 6 7 8 0 2 4 6 7 9 0 3 4 5 7 8 0 3 4 5 7 9 = scale of harmonics 0 3 4 6 7 8 0 3 4 6 7 9 All Transpositions of Chord Type: +0= 0 2 4 5 7 8 | +1= 1 3 5 6 8 9 | +2= 2 4 6 7 9 10 | +3= 3 5 7 8 10 11 | +4= 0 4 6 8 9 11 | +5= 0 1 5 7 9 10 | +6= 1 2 6 8 10 11 | +7= 0 2 3 7 9 11 |mM 13 no 11th +8= 0 1 3 4 8 10 | +9= 1 2 4 5 9 11 | +10= 0 2 3 5 6 10 |m11b5 +11= 1 3 4 6 7 11 | Modes of Chord Type: (mode 0) 0: 0 2 4 5 7 8 | (mode 1) 2: 0 2 3 5 6 10 | m11b5 (mode 2) 4: 0 1 3 4 8 10 | (mode 3) 5: 0 2 3 7 9 11 | mM 13 no 11th (mode 4) 7: 0 1 5 7 9 10 | (mode 5) 8: 0 4 6 8 9 11 | Modes of Chord Type Sorted by Rootedness: 1.508(mode 3)5:0 2 3 7 9 11 |mM 13 no 11th .992(mode 2)4:0 1 3 4 8 10 | .925(mode 4)7:0 1 5 7 9 10 | .892(mode 0)0:0 2 4 5 7 8 | .667(mode 5)8:0 4 6 8 9 11 | .317(mode 1)2:0 2 3 5 6 10 |m11b5 Inversion at 0: 0 4 5 7 8 10 (mode 0) 0: 0 4 5 7 8 10 | 7b13 no 9th (mode 1) 4: 0 1 3 4 6 8 | (mode 2) 5: 0 2 3 5 7 11 | mM11 (mode 3) 7: 0 1 3 5 9 10 | (mode 4) 8: 0 2 4 8 9 11 | M13#5 no 11th (mode 5) 10: 0 2 6 7 9 10 | Times 7: 0 1 2 4 8 11 (mode 0) 0: 0 1 2 4 8 11 | (mode 1) 1: 0 1 3 7 10 11 | mM#13b9 no 11th (mode 2) 2: 0 2 6 9 10 11 | (mode 3) 4: 0 4 7 8 9 10 | (mode 4) 8: 0 3 4 5 6 8 | (mode 5) 11: 0 1 2 3 5 9 | Times 5: 0 1 4 8 10 11 (mode 0) 0: 0 1 4 8 10 11 | M#13#5b9 no 11th (mode 1) 1: 0 3 7 9 10 11 | (mode 2) 4: 0 4 6 7 8 9 | (mode 3) 8: 0 2 3 4 5 8 | (mode 4) 10: 0 1 2 3 6 10 | (mode 5) 11: 0 1 2 5 9 11 | Modal System: 0 1 3 4 8 10 from root(s) 4 | "m11b5 modal system" Modes of Modal System: (mode 0) 0: 0 1 3 4 8 10 | (mode 1) 1: 0 2 3 7 9 11 | mM 13 no 11th (mode 2) 3: 0 1 5 7 9 10 | (mode 3) 4: 0 4 6 8 9 11 | (mode 4) 8: 0 2 4 5 7 8 | (mode 5) 10: 0 2 3 5 6 10 | m11b5 Complement: 1 3 6 9 10 11 (mode 0) 1: 0 2 5 8 9 10 | (mode 1) 3: 0 3 6 7 8 10 | m7#11b13 no 9th (mode 2) 6: 0 3 4 5 7 9 | scale of harmonics (mode 3) 9: 0 1 2 4 6 9 | (mode 4) 10: 0 1 3 5 8 11 | (mode 5) 11: 0 2 4 7 10 11 | M#13 no 11th All but the root (subchroma complement of 0): 2 4 5 7 8 (mode 0) 2: 0 2 3 5 6 | (mode 1) 4: 0 1 3 4 10 | (mode 2) 5: 0 2 3 9 11 | mM13 no 5th, 11th (mode 3) 7: 0 1 7 9 10 | (mode 4) 8: 0 6 8 9 11 | 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: N/A Dechromaticised but Keep 0 N/A Dechromaticised but Keep 0 7 N/A Dechromaticised but Keep 0 3 4 7 N/A Alt-Dechromaticised: 2 4 5 8 (mode 0) 2: 0 2 3 6 | dim. add 9 (mode 1) 4: 0 1 4 10 | 7b9 no 5th (mode 2) 5: 0 3 9 11 | mM7/6 no 5th (mode 3) 8: 0 6 8 9 | Alt-Dechromaticised but Keep 0 0 2 4 5 8 (mode 0) 0: 0 2 4 5 8 | (mode 1) 2: 0 2 3 6 10 | m9b5 (mode 2) 4: 0 1 4 8 10 | 7#5b9 (mode 3) 5: 0 3 7 9 11 | mM7/6 (mode 4) 8: 0 4 6 8 9 | Alt-Dechromaticised but Keep 0 7 0 2 4 5 7 8 (mode 0) 0: 0 2 4 5 7 8 | (mode 1) 2: 0 2 3 5 6 10 | m11b5 (mode 2) 4: 0 1 3 4 8 10 | (mode 3) 5: 0 2 3 7 9 11 | mM 13 no 11th (mode 4) 7: 0 1 5 7 9 10 | (mode 5) 8: 0 4 6 8 9 11 | Alt-Dechromaticised but Keep 0 3 4 7 0 2 4 5 7 8 (mode 0) 0: 0 2 4 5 7 8 | (mode 1) 2: 0 2 3 5 6 10 | m11b5 (mode 2) 4: 0 1 3 4 8 10 | (mode 3) 5: 0 2 3 7 9 11 | mM 13 no 11th (mode 4) 7: 0 1 5 7 9 10 | (mode 5) 8: 0 4 6 8 9 11 | Chromaticizations chromaticized: (mode 0) 0: 0 1 2 4 5 7 8 | (mode 1) 1: 0 1 3 4 6 7 11 | (mode 2) 2: 0 2 3 5 6 10 11 | mM#13 (mode 3) 4: 0 1 3 4 8 9 10 | (mode 4) 5: 0 2 3 7 8 9 11 | (mode 5) 7: 0 1 5 6 7 9 10 | (mode 6) 8: 0 4 5 6 8 9 11 | chromaticized keep 0: (mode 0) 0: 0 1 2 4 5 7 8 | (mode 1) 1: 0 1 3 4 6 7 11 | (mode 2) 2: 0 2 3 5 6 10 11 | mM#13 (mode 3) 4: 0 1 3 4 8 9 10 | (mode 4) 5: 0 2 3 7 8 9 11 | (mode 5) 7: 0 1 5 6 7 9 10 | (mode 6) 8: 0 4 5 6 8 9 11 | (mode 0) 0: 0 2 3 4 5 7 8 | (mode 1) 2: 0 1 2 3 5 6 10 | (mode 2) 3: 0 1 2 4 5 9 11 | (mode 3) 4: 0 1 3 4 8 10 11 | (mode 4) 5: 0 2 3 7 9 10 11 | (mode 5) 7: 0 1 5 7 8 9 10 | (mode 6) 8: 0 4 6 7 8 9 11 | chromaticized keep 0 7: (mode 0) 0: 0 1 2 4 5 7 8 | (mode 1) 1: 0 1 3 4 6 7 11 | (mode 2) 2: 0 2 3 5 6 10 11 | mM#13 (mode 3) 4: 0 1 3 4 8 9 10 | (mode 4) 5: 0 2 3 7 8 9 11 | (mode 5) 7: 0 1 5 6 7 9 10 | (mode 6) 8: 0 4 5 6 8 9 11 | (mode 0) 0: 0 2 3 4 5 7 8 | (mode 1) 2: 0 1 2 3 5 6 10 | (mode 2) 3: 0 1 2 4 5 9 11 | (mode 3) 4: 0 1 3 4 8 10 11 | (mode 4) 5: 0 2 3 7 9 10 11 | (mode 5) 7: 0 1 5 7 8 9 10 | (mode 6) 8: 0 4 6 7 8 9 11 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 4 5 7 8 | (mode 1) 1: 0 1 3 4 6 7 11 | (mode 2) 2: 0 2 3 5 6 10 11 | mM#13 (mode 3) 4: 0 1 3 4 8 9 10 | (mode 4) 5: 0 2 3 7 8 9 11 | (mode 5) 7: 0 1 5 6 7 9 10 | (mode 6) 8: 0 4 5 6 8 9 11 | (mode 0) 0: 0 2 3 4 5 7 8 | (mode 1) 2: 0 1 2 3 5 6 10 | (mode 2) 3: 0 1 2 4 5 9 11 | (mode 3) 4: 0 1 3 4 8 10 11 | (mode 4) 5: 0 2 3 7 9 10 11 | (mode 5) 7: 0 1 5 7 8 9 10 | (mode 6) 8: 0 4 6 7 8 9 11 | alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: (mode 0) 0: 0 1 2 4 5 6 7 8 11 | (mode 1) 1: 0 1 3 4 5 6 7 10 11 | (mode 2) 2: 0 2 3 4 5 6 9 10 11 | (mode 3) 4: 0 1 2 3 4 7 8 9 10 | (mode 4) 5: 0 1 2 3 6 7 8 9 11 | (mode 5) 6: 0 1 2 5 6 7 8 10 11 | (mode 6) 7: 0 1 4 5 6 7 9 10 11 | (mode 7) 8: 0 3 4 5 6 8 9 10 11 | (mode 8) 11: 0 1 2 3 5 6 7 8 9 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 4 5 6 7 8 11 | (mode 1) 1: 0 1 3 4 5 6 7 10 11 | (mode 2) 2: 0 2 3 4 5 6 9 10 11 | (mode 3) 4: 0 1 2 3 4 7 8 9 10 | (mode 4) 5: 0 1 2 3 6 7 8 9 11 | (mode 5) 6: 0 1 2 5 6 7 8 10 11 | (mode 6) 7: 0 1 4 5 6 7 9 10 11 | (mode 7) 8: 0 3 4 5 6 8 9 10 11 | (mode 8) 11: 0 1 2 3 5 6 7 8 9 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 2 4 5 7 8 = 0: 0 2 4 5 7 8 = 2: 0 2 3 5 6 10 = 4: 0 1 3 4 8 10 = 5: 0 2 3 7 9 11 = 7: 0 1 5 7 9 10 = 8: 0 4 6 8 9 11 1 2 2 0 2 3 5 6 10 = 0: 0 2 3 5 6 10 = 2: 0 1 3 4 8 10 = 3: 0 2 3 7 9 11 = 5: 0 1 5 7 9 10 = 6: 0 4 6 8 9 11 = 10: 0 2 4 5 7 8 1 4 4 0 1 3 4 8 10 = 0: 0 1 3 4 8 10 = 1: 0 2 3 7 9 11 = 3: 0 1 5 7 9 10 = 4: 0 4 6 8 9 11 = 8: 0 2 4 5 7 8 = 10: 0 2 3 5 6 10 1 5 5 0 2 3 7 9 11 = 0: 0 2 3 7 9 11 = 2: 0 1 5 7 9 10 = 3: 0 4 6 8 9 11 = 7: 0 2 4 5 7 8 = 9: 0 2 3 5 6 10 = 11: 0 1 3 4 8 10 1 7 7 0 1 5 7 9 10 = 0: 0 1 5 7 9 10 = 1: 0 4 6 8 9 11 = 5: 0 2 4 5 7 8 = 7: 0 2 3 5 6 10 = 9: 0 1 3 4 8 10 = 10: 0 2 3 7 9 11 Bright Layer Composition order pcset 1 0 2 4 5 7 8 = 0: 0 2 4 5 7 8 = 2: 0 2 3 5 6 10 = 4: 0 1 3 4 8 10 = 5: 0 2 3 7 9 11 = 7: 0 1 5 7 9 10 = 8: 0 4 6 8 9 11 2 0 2 3 4 5 7 8 9 11 = 0: 0 2 3 4 5 7 8 9 11 = 2: 0 1 2 3 5 6 7 9 10 = 3: 0 1 2 4 5 6 8 9 11 = 4: 0 1 3 4 5 7 8 10 11 = 5: 0 2 3 4 6 7 9 10 11 = 7: 0 1 2 4 5 7 8 9 10 = 8: 0 1 3 4 6 7 8 9 11 = 9: 0 2 3 5 6 7 8 10 11 = 11: 0 1 3 4 5 6 8 9 10 3 0 2 3 4 5 6 7 8 9 10 11 = 0: 0 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 = 3: 0 1 2 3 4 5 6 7 8 9 11 = 4: 0 1 2 3 4 5 6 7 8 10 11 = 5: 0 1 2 3 4 5 6 7 9 10 11 = 6: 0 1 2 3 4 5 6 8 9 10 11 = 7: 0 1 2 3 4 5 7 8 9 10 11 = 8: 0 1 2 3 4 6 7 8 9 10 11 = 9: 0 1 2 3 5 6 7 8 9 10 11 = 10: 0 1 2 4 5 6 7 8 9 10 11 = 11: 0 1 3 4 5 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 2 4 5 7 8 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 4 = 4 = 4: 0 5 = 5 = 5: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 subchroma modal system: 0 1 0 2 = 0 2 = 0: 0 2 2: 0 10 2 4 = 2 4 = 2: 0 2 4: 0 10 4 5 = 4 5 = 4: 0 1 5: 0 11 5 7 = 5 7 = 5: 0 2 7: 0 10 7 8 = 7 8 = 7: 0 1 8: 0 11 8 0 = 0 8 = 8: 0 4 0: 0 8 subchroma modal system: 0 2 0 4 = 0 4 = 0: 0 4 4: 0 8 2 5 = 2 5 = 2: 0 3 5: 0 9 4 7 = 4 7 = 4: 0 3 7: 0 9 5 8 = 5 8 = 5: 0 3 8: 0 9 7 0 = 0 7 = 7: 0 5 0: 0 7 8 2 = 2 8 = 2 8: 0 6 subchroma modal system: 0 3 0 5 = 0 5 = 0: 0 5 5: 0 7 2 7 = 2 7 = 2: 0 5 7: 0 7 4 8 = 4 8 = 4: 0 4 8: 0 8 5 0 = 0 5 = 0: 0 5 5: 0 7 7 2 = 2 7 = 2: 0 5 7: 0 7 8 4 = 4 8 = 4: 0 4 8: 0 8 subchroma modal system: 0 1 2 0 2 4 = 0 2 4 = 0: 0 2 4 2 4 5 = 2 4 5 = 2: 0 2 3 4 5 7 = 4 5 7 = 4: 0 1 3 5: 0 2 11 5 7 8 = 5 7 8 = 5: 0 2 3 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 0 2 = 0 2 8 = 8: 0 4 6 subchroma modal system: 0 1 3 0 2 5 = 0 2 5 = 2: 0 3 10 5: 0 7 9 2 4 7 = 2 4 7 = 4: 0 3 10 7: 0 7 9 4 5 8 = 4 5 8 = 4: 0 1 4 5: 0 3 11 5 7 0 = 0 5 7 = 5: 0 2 7 0: 0 5 7 7: 0 5 10 7 8 2 = 2 7 8 = 7: 0 1 7 8 0 4 = 0 4 8 = 0 4 8: 0 4 8 subchroma modal system: 0 1 4 0 2 7 = 0 2 7 = 0: 0 2 7 7: 0 5 7 2: 0 5 10 2 4 8 = 2 4 8 = 4: 0 4 10 4 5 0 = 0 4 5 = 0: 0 4 5 5: 0 7 11 5 7 2 = 2 5 7 = 2: 0 3 5 7: 0 7 10 7 8 4 = 4 7 8 = 4: 0 3 4 8 0 5 = 0 5 8 = 5: 0 3 7 8: 0 4 9 subchroma modal system: 0 2 4 0 4 7 = 0 4 7 = 0: 0 4 7 2 5 8 = 2 5 8 = 2: 0 3 6 5: 0 3 9 4 7 0 = 0 4 7 = 0: 0 4 7 5 8 2 = 2 5 8 = 2: 0 3 6 5: 0 3 9 7 0 4 = 0 4 7 = 0: 0 4 7 8 2 5 = 2 5 8 = 2: 0 3 6 5: 0 3 9 subchroma modal system: 0 1 2 3 0 2 4 5 = 0 2 4 5 = 0: 0 2 4 5 2: 0 2 3 10 5: 0 7 9 11 2 4 5 7 = 2 4 5 7 = 2: 0 2 3 5 4: 0 1 3 10 5: 0 2 9 11 7: 0 7 9 10 4 5 7 8 = 4 5 7 8 = 4: 0 1 3 4 5: 0 2 3 11 5 7 8 0 = 0 5 7 8 = 5: 0 2 3 7 8: 0 4 9 11 0: 0 5 7 8 7 8 0 2 = 0 2 7 8 = 7: 0 1 5 7 0: 0 2 7 8 8: 0 4 6 11 8 0 2 4 = 0 2 4 8 = 4: 0 4 8 10 subchroma modal system: 0 1 2 4 0 2 4 7 = 0 2 4 7 = 0: 0 2 4 7 7: 0 5 7 9 2 4 5 8 = 2 4 5 8 = 2: 0 2 3 6 4: 0 1 4 10 5: 0 3 9 11 4 5 7 0 = 0 4 5 7 = 5: 0 2 7 11 0: 0 4 5 7 5 7 8 2 = 2 5 7 8 = 7: 0 1 7 10 2: 0 3 5 6 7 8 0 4 = 0 4 7 8 = 4: 0 3 4 8 0: 0 4 7 8 8: 0 4 8 11 8 0 2 5 = 0 2 5 8 = 5: 0 3 7 9 2: 0 3 6 10 subchroma modal system: 0 1 3 4 0 2 5 7 = 0 2 5 7 = 0: 0 2 5 7 5: 0 2 7 9 2: 0 3 5 10 7: 0 5 7 10 2 4 7 8 = 2 4 7 8 = 4: 0 3 4 10 7: 0 1 7 9 4 5 8 0 = 0 4 5 8 = 5: 0 3 7 11 5 7 0 2 = 0 2 5 7 = 0: 0 2 5 7 5: 0 2 7 9 2: 0 3 5 10 7: 0 5 7 10 7 8 2 4 = 2 4 7 8 = 4: 0 3 4 10 7: 0 1 7 9 8 0 4 5 = 0 4 5 8 = 5: 0 3 7 11 subchroma modal system: 0 1 2 3 4 0 2 4 5 7 = 0 2 4 5 7 = 0: 0 2 4 5 7 5: 0 2 7 9 11 7: 0 5 7 9 10 2 4 5 7 8 = 2 4 5 7 8 = 4: 0 1 3 4 10 2: 0 2 3 5 6 5: 0 2 3 9 11 7: 0 1 7 9 10 4 5 7 8 0 = 0 4 5 7 8 = 4: 0 1 3 4 8 5: 0 2 3 7 11 0: 0 4 5 7 8 5 7 8 0 2 = 0 2 5 7 8 = 5: 0 2 3 7 9 0: 0 2 5 7 8 7: 0 1 5 7 10 2: 0 3 5 6 10 7 8 0 2 4 = 0 2 4 7 8 = 0: 0 2 4 7 8 4: 0 3 4 8 10 7: 0 1 5 7 9 8 0 2 4 5 = 0 2 4 5 8 = 4: 0 1 4 8 10 2: 0 2 3 6 10 5: 0 3 7 9 11 subchroma modal system: 0 1 2 3 4 5 0 2 4 5 7 8 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 2 4 5 7 8 0 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 4 5 7 8 0 2 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 5 7 8 0 2 4 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 7 8 0 2 4 5 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 8 0 2 4 5 7 = 0 2 4 5 7 8 = 4: 0 1 3 4 8 10 0: 0 2 4 5 7 8 2: 0 2 3 5 6 10 5: 0 2 3 7 9 11 7: 0 1 5 7 9 10 Subset Chord Types by Root Set 0 :0 2 4 0 :0 4 5 0 :0 4 7 0 :0 7 8 0 :0 2 4 5 0 :0 2 4 7 0 :0 2 5 7 0 :0 2 7 8 0 :0 4 5 7 0 :0 4 7 8 0 :0 5 7 8 0 :0 2 4 5 7 0 :0 2 4 7 8 0 :0 2 5 7 8 0 :0 4 5 7 8 0 :0 2 4 5 7 8 0 2 4 5 7 8:0 0 2 5 :0 2 0 2 7 :0 5 0 4 8 :0 4 0 4 8 :0 8 0 4 8 :0 4 8 0 5 :0 2 7 0 5 7 :0 7 0 7 :0 5 7 2 :0 3 5 2 :0 3 6 2 :0 2 3 5 2 :0 2 3 6 2 :0 2 3 10 2 :0 3 5 6 2 :0 3 5 10 2 :0 3 6 10 2 :0 2 3 5 6 2 :0 2 3 6 10 2 :0 3 5 6 10 2 :0 2 3 5 6 10 2 4 :0 3 10 2 4 5 :0 3 2 4 7 :0 10 2 5 :0 2 3 2 7 :0 5 10 2 8 :0 6 4 :0 1 3 4 :0 1 4 4 :0 3 4 4 :0 4 10 4 :0 1 3 4 4 :0 3 4 8 4 :0 1 3 10 4 :0 1 4 10 4 :0 3 4 10 4 :0 4 8 10 4 :0 1 3 4 8 4 :0 1 3 4 10 4 :0 1 4 8 10 4 :0 3 4 8 10 4 :0 1 3 4 8 10 4 7 :0 1 5 :0 2 11 5 :0 3 7 5 :0 3 9 5 :0 3 11 5 :0 7 11 5 :0 2 3 7 5 :0 2 3 11 5 :0 2 7 9 5 :0 2 7 11 5 :0 2 9 11 5 :0 3 7 9 5 :0 3 7 11 5 :0 3 9 11 5 :0 7 9 11 5 :0 2 3 7 9 5 :0 2 3 7 11 5 :0 2 3 9 11 5 :0 2 7 9 11 5 :0 3 7 9 11 5 :0 2 3 7 9 11 5 7 :0 7 9 5 7 8 :0 9 5 8 :0 11 7 :0 1 7 7 :0 7 10 7 :0 1 5 7 7 :0 1 7 9 7 :0 1 7 10 7 :0 5 7 9 7 :0 5 7 10 7 :0 7 9 10 7 :0 1 5 7 9 7 :0 1 5 7 10 7 :0 1 7 9 10 7 :0 5 7 9 10 7 :0 1 5 7 9 10 8 :0 4 6 8 :0 4 9 8 :0 4 11 8 :0 4 6 11 8 :0 4 8 11 8 :0 4 9 11 Superset Chord Types by Root Set 0 :0 2 4 5 7 8 0 :0 1 2 4 5 7 8 0 :0 2 3 4 5 7 8 0 :0 2 4 5 6 7 8 0 :0 2 4 5 7 8 9 0 :0 2 4 5 7 8 10 0 :0 2 4 5 7 8 11 0 :0 1 2 3 4 5 7 8 0 :0 1 2 4 5 6 7 8 0 :0 1 2 4 5 7 8 9 0 :0 2 3 4 5 7 8 9 0 :0 1 2 4 5 7 8 10 0 :0 1 2 4 5 7 8 11 0 :0 2 3 4 5 7 8 10 0 :0 2 3 4 5 7 8 11 0 :0 2 3 4 5 6 7 8 0 :0 2 4 5 6 7 8 10 0 :0 2 4 5 6 7 8 11 0 :0 2 4 5 7 8 9 10 0 :0 2 4 5 7 8 9 11 0 :0 2 4 5 7 8 10 11 0 :0 1 2 3 4 5 6 7 8 0 :0 1 2 3 4 5 7 8 9 0 :0 1 2 3 4 5 7 8 11 0 :0 1 2 4 5 6 7 8 9 0 :0 2 3 4 5 6 7 8 9 0 :0 1 2 4 5 6 7 8 10 0 :0 1 2 4 5 6 7 8 11 0 :0 2 3 4 5 6 7 8 11 0 :0 1 2 4 5 7 8 10 11 0 :0 2 3 4 5 7 8 9 10 0 :0 2 4 5 6 7 8 10 11 0 :0 2 4 5 7 8 9 10 11 0 1 :0 1 2 3 4 5 6 7 8 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 4 6 9 :0 1 2 3 4 5 6 7 8 10 11 0 1 3 5 8 11 :0 1 2 3 4 5 6 7 8 9 11 0 2 :0 2 3 4 5 6 7 8 10 0 2 4 :0 1 2 3 4 5 6 7 8 10 0 2 4 7 10 11 :0 1 2 3 4 5 6 7 8 9 10 0 2 5 8 9 10 :0 2 3 4 5 6 7 8 9 10 11 0 2 9 :0 2 3 4 5 6 7 8 10 11 0 2 10 :0 2 3 4 5 6 7 8 9 10 0 3 :0 1 2 4 5 7 8 9 11 0 3 4 5 7 9 :0 1 2 3 4 5 7 8 9 10 11 0 3 5 :0 1 2 3 4 5 7 8 9 11 0 3 6 7 8 10 :0 1 2 4 5 6 7 8 9 10 11 0 3 7 :0 1 2 4 5 7 8 9 10 11 0 3 8 :0 1 2 4 5 6 7 8 9 11 0 4 :0 1 2 3 4 5 7 8 10 0 4 7 :0 1 2 3 4 5 7 8 9 10 0 4 9 :0 1 2 3 4 5 7 8 10 11 0 5 :0 2 3 4 5 7 8 9 11 0 5 8 :0 2 3 4 5 6 7 8 9 11 0 5 9 :0 2 3 4 5 7 8 9 10 11 0 6 :0 1 2 4 5 6 7 8 10 11 0 7 :0 1 2 4 5 7 8 9 10 0 7 10 :0 1 2 4 5 6 7 8 9 10 0 8 :0 2 4 5 6 7 8 9 11 0 8 10 :0 2 4 5 6 7 8 9 10 11 0 9 :0 2 3 4 5 7 8 10 11 0 10 :0 2 4 5 6 7 8 9 10 0 11 :0 1 2 3 4 5 6 7 8 9 1 :0 1 3 4 6 7 11 1 :0 1 2 3 4 6 7 11 1 :0 1 3 4 5 6 7 11 1 :0 1 3 4 6 7 8 11 1 :0 1 3 4 6 7 9 11 1 :0 1 3 4 6 7 10 11 1 :0 1 2 3 4 5 6 7 11 1 :0 1 2 3 4 6 7 8 11 1 :0 1 2 3 4 6 7 10 11 1 :0 1 3 4 5 6 7 8 11 1 :0 1 3 4 5 6 7 9 11 1 :0 1 3 4 5 6 7 10 11 1 :0 1 3 4 6 7 9 10 11 1 2 :0 1 2 3 4 5 6 7 10 11 1 2 3 5 7 10 :0 1 2 3 4 5 6 7 9 10 11 1 3 5 :0 1 2 3 4 5 6 7 9 11 1 4 :0 1 3 4 6 7 8 10 11 1 4 5 6 8 10 :0 1 2 3 4 6 7 8 9 10 11 1 4 6 :0 1 2 3 4 6 7 8 10 11 1 4 7 8 9 11 :0 1 3 4 5 6 7 8 9 10 11 1 4 8 :0 1 3 4 6 7 8 9 10 11 1 4 9 :0 1 3 4 5 6 7 8 10 11 1 5 :0 1 2 3 4 6 7 9 11 1 5 8 :0 1 2 3 4 6 7 8 9 11 1 5 10 :0 1 2 3 4 6 7 9 10 11 1 7 :0 1 3 4 5 6 7 9 10 11 1 8 :0 1 3 4 6 7 8 9 11 1 8 11 :0 1 3 4 5 6 7 8 9 11 2 :0 2 3 5 6 10 2 :0 1 2 3 5 6 10 2 :0 2 3 4 5 6 10 2 :0 2 3 5 6 7 10 2 :0 2 3 5 6 8 10 2 :0 2 3 5 6 9 10 2 :0 2 3 5 6 10 11 2 :0 1 2 3 4 5 6 10 2 :0 1 2 3 5 6 7 10 2 :0 2 3 4 5 6 7 10 2 :0 1 2 3 5 6 8 10 2 :0 2 3 4 5 6 9 10 2 :0 2 3 4 5 6 10 11 2 :0 2 3 5 6 7 8 10 2 :0 2 3 5 6 7 9 10 2 :0 2 3 5 6 7 10 11 2 :0 1 2 3 4 5 6 7 10 2 :0 1 2 3 4 5 6 9 10 2 :0 1 2 3 5 6 7 8 10 2 :0 1 2 3 5 6 7 10 11 2 :0 2 3 4 5 6 7 10 11 2 :0 2 3 4 5 6 9 10 11 2 :0 2 3 5 6 7 8 9 10 2 :0 2 3 5 6 8 9 10 11 2 3 :0 1 2 3 4 5 6 9 10 11 2 3 4 6 8 11 :0 1 2 3 4 5 6 8 9 10 11 2 4 :0 1 2 3 4 5 6 8 10 2 4 6 :0 1 2 3 4 5 6 8 10 11 2 4 11 :0 1 2 3 4 5 6 8 9 10 2 5 :0 2 3 5 6 7 9 10 11 2 5 6 7 9 11 :0 1 2 3 5 6 7 8 9 10 11 2 5 7 :0 1 2 3 5 6 7 9 10 11 2 5 9 :0 2 3 5 6 7 8 9 10 11 2 5 10 :0 2 3 4 5 6 7 9 10 11 2 6 9 :0 1 2 3 5 6 7 8 10 11 2 6 11 :0 1 2 3 5 6 8 9 10 11 2 7 :0 1 2 3 5 6 7 9 10 2 7 10 :0 1 2 3 4 5 6 7 9 10 2 7 11 :0 1 2 3 5 6 7 8 9 10 2 8 :0 2 3 4 5 6 8 9 10 11 2 9 :0 2 3 5 6 7 8 10 11 2 10 :0 2 3 4 5 6 7 9 10 3 :0 1 2 4 5 7 9 11 3 :0 1 2 4 5 6 7 9 11 3 4 :0 1 2 3 4 5 8 9 10 11 3 5 :0 1 2 3 4 5 7 9 11 3 5 7 :0 1 2 3 4 5 7 9 10 11 3 6 8 :0 1 2 4 5 6 8 9 10 11 3 7 :0 1 2 4 5 7 9 10 11 3 7 10 :0 1 2 4 5 6 7 9 10 11 3 8 11 :0 1 2 3 4 5 6 8 9 11 4 :0 1 3 4 8 10 4 :0 1 2 3 4 8 10 4 :0 1 3 4 7 8 10 4 :0 1 3 4 8 10 11 4 :0 1 2 3 4 7 8 10 4 :0 1 2 3 4 8 10 11 4 :0 1 2 3 4 6 8 10 4 :0 1 3 4 5 7 8 10 4 :0 1 3 4 6 7 8 10 4 :0 1 3 4 6 8 10 11 4 :0 1 3 4 7 8 9 10 4 :0 1 3 4 7 8 10 11 4 :0 1 3 4 8 9 10 11 4 :0 1 2 3 4 6 7 8 10 4 :0 1 2 3 4 7 8 9 10 4 :0 1 2 3 4 7 8 10 11 4 :0 1 3 4 5 6 7 8 10 4 :0 1 3 4 6 7 8 9 10 4 :0 1 3 4 7 8 9 10 11 4 5 :0 1 2 3 4 7 8 9 10 11 4 6 :0 1 2 3 4 6 8 10 11 4 6 8 :0 1 2 3 4 6 8 9 10 11 4 7 :0 1 3 4 5 7 8 9 10 4 7 9 :0 1 3 4 5 7 8 9 10 11 4 7 11 :0 1 3 4 5 6 7 8 9 10 4 8 11 :0 1 3 4 5 6 8 9 10 11 4 9 :0 1 3 4 5 7 8 10 11 4 10 :0 1 2 3 4 6 7 8 9 10 5 :0 2 3 7 9 11 5 :0 1 2 3 7 9 11 5 :0 2 3 4 7 9 11 5 :0 2 3 5 7 9 11 5 :0 2 3 6 7 9 11 5 :0 2 3 7 8 9 11 5 :0 2 3 7 9 10 11 5 :0 1 2 3 4 7 9 11 5 :0 1 2 3 5 7 9 11 5 :0 1 2 3 6 7 9 11 5 :0 2 3 4 5 7 9 11 5 :0 2 3 4 6 7 9 11 5 :0 1 2 3 7 8 9 11 5 :0 1 2 3 7 9 10 11 5 :0 2 3 4 7 8 9 11 5 :0 2 3 4 7 9 10 11 5 :0 2 3 5 6 7 9 11 5 :0 2 3 5 7 8 9 11 5 :0 2 3 5 7 9 10 11 5 :0 2 3 6 7 8 9 11 5 :0 2 3 6 7 9 10 11 5 :0 2 3 7 8 9 10 11 5 :0 1 2 3 4 7 8 9 11 5 :0 1 2 3 4 7 9 10 11 5 :0 1 2 3 5 6 7 9 11 5 :0 2 3 4 5 6 7 9 11 5 :0 1 2 3 5 7 8 9 11 5 :0 1 2 3 6 7 8 9 11 5 :0 1 2 3 6 7 9 10 11 5 :0 2 3 4 5 7 9 10 11 5 :0 2 3 4 7 8 9 10 11 5 :0 1 2 3 7 8 9 10 11 5 :0 2 3 5 6 7 8 9 11 5 :0 2 3 6 7 8 9 10 11 5 6 :0 1 2 3 6 7 8 9 10 11 5 7 :0 1 2 3 5 7 9 10 11 5 7 9 :0 1 2 3 5 7 8 9 10 11 5 8 :0 2 3 4 6 7 8 9 11 5 8 10 :0 2 3 4 6 7 8 9 10 11 5 9 :0 2 3 5 7 8 9 10 11 5 10 :0 2 3 4 6 7 9 10 11 5 11 :0 1 2 3 5 6 7 8 9 11 6 :0 1 2 4 6 8 10 11 6 :0 1 2 6 7 8 10 11 6 :0 1 2 3 6 7 8 10 11 6 :0 1 2 4 6 7 8 10 11 6 :0 1 2 6 7 8 9 10 11 6 7 :0 1 2 5 6 7 8 9 10 11 6 8 10 :0 1 2 4 6 7 8 9 10 11 7 :0 1 5 7 9 10 7 :0 1 2 5 7 9 10 7 :0 1 3 5 7 9 10 7 :0 1 4 5 7 9 10 7 :0 1 5 7 8 9 10 7 :0 1 5 7 9 10 11 7 :0 1 2 3 5 7 9 10 7 :0 1 2 4 5 7 9 10 7 :0 1 3 4 5 7 9 10 7 :0 1 2 5 7 9 10 11 7 :0 1 3 5 6 7 9 10 7 :0 1 4 5 6 7 9 10 7 :0 1 3 5 7 8 9 10 7 :0 1 3 5 7 9 10 11 7 :0 1 4 5 7 8 9 10 7 :0 1 4 5 7 9 10 11 7 :0 1 5 6 7 9 10 11 7 :0 1 5 7 8 9 10 11 7 :0 1 2 3 4 5 7 9 10 7 :0 1 3 4 5 6 7 9 10 7

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

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

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

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

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

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