Chord Type: 0 3 6 9

0 3 6 9 = dim. 7 = m6b5

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Chord Type: 0 3 6 9

Chord Type Fun Facts 0 3 6 9 Inversionally Symmetrical around 0 Subset of Diminished Scale (0 1 3 4 6 7 9 10) Subset of Diminished Scale (0 2 3 5 6 8 9 11) Subset of Dorian Blues Scale (0 2 3 5 6 7 9 10) Modal System Fun Facts 0 3 6 9 Subset of Diminished Scale Subset of Harmonic Minor Modal System Inversionally Symmetrical Transpositionally Symmetrical Subset of Dorian Blues Scale Melodic adjacency = 0 (minimum). Harmonic adjacency = 0 (minimum). Subset of Harmonic Major Modal System General Statistics Cardinality: 4 Jordan Number: 4-35 Forte Number: 4-28 Forte Prime Form: [0,3,6,9] Zeitler Scale Name: Phrynic Ian Ring's Scale Page 585 Root Reference: 0 3 6 9 Tone Stacking: 0 3 3 3 Interval Stacking: 3 3 3 3 Binary: 1 0 0 1 0 0 1 0 0 1 0 0 Decimal Value: 585 Interval Vector: 0 0 4 0 0 2 Inversional Symmetry: yes (axes of symmetry: 0 1.5 3 4.5 6 7.5 9 10.5) Transpositional Symmetry: yes Melodic Adjacency (0-1): 0.000 Harmonic Adjacency (0-1): 0.000 Modal-system-invariant under multiplication by: 1 3 5 7 9 11 Modal System Balanced: yes Diachromatic Family: 6th Chords (Scale Degrees: 1356) ->0 3 6 9 = dim. 7, m6b5 0 3 7 8 = mb6 0 3 7 9 = m6 , Tristan chord 0 4 7 8 = Mb6 0 4 7 9 = 6 All Transpositions of Chord Type: +0= 0 3 6 9 |dim. 7 = m6b5 +1= 1 4 7 10 | +2= 2 5 8 11 | +3= 0 3 6 9 |dim. 7 = m6b5 +4= 1 4 7 10 | +5= 2 5 8 11 | +6= 0 3 6 9 |dim. 7 = m6b5 +7= 1 4 7 10 | +8= 2 5 8 11 | +9= 0 3 6 9 |dim. 7 = m6b5 +10= 1 4 7 10 | +11= 2 5 8 11 | Modes of Chord Type: (mode 0) 0: 0 3 6 9 | dim. 7 = m6b5 (mode 1) 3: 0 3 6 9 | dim. 7 = m6b5 (mode 2) 6: 0 3 6 9 | dim. 7 = m6b5 (mode 3) 9: 0 3 6 9 | dim. 7 = m6b5 Modes of Chord Type Sorted by Rootedness: .750(mode 0)0:0 3 6 9 |dim. 7 = m6b5 .750(mode 1)3:0 3 6 9 |dim. 7 = m6b5 .750(mode 2)6:0 3 6 9 |dim. 7 = m6b5 .750(mode 3)9:0 3 6 9 |dim. 7 = m6b5 Inversion at 0: 0 3 6 9 (mode 0) 0: 0 3 6 9 | dim. 7 = m6b5 (mode 1) 3: 0 3 6 9 | dim. 7 = m6b5 (mode 2) 6: 0 3 6 9 | dim. 7 = m6b5 (mode 3) 9: 0 3 6 9 | dim. 7 = m6b5 Times 7: 0 3 6 9 (mode 0) 0: 0 3 6 9 | dim. 7 = m6b5 (mode 1) 3: 0 3 6 9 | dim. 7 = m6b5 (mode 2) 6: 0 3 6 9 | dim. 7 = m6b5 (mode 3) 9: 0 3 6 9 | dim. 7 = m6b5 Times 5: 0 3 6 9 (mode 0) 0: 0 3 6 9 | dim. 7 = m6b5 (mode 1) 3: 0 3 6 9 | dim. 7 = m6b5 (mode 2) 6: 0 3 6 9 | dim. 7 = m6b5 (mode 3) 9: 0 3 6 9 | dim. 7 = m6b5 Modal System: 0 3 6 9 from root(s) 0 3 6 9 | "dim. 7 modal system" Modes of Modal System: (mode 0) 0: 0 3 6 9 | dim. 7 = m6b5 (mode 1) 3: 0 3 6 9 | dim. 7 = m6b5 (mode 2) 6: 0 3 6 9 | dim. 7 = m6b5 (mode 3) 9: 0 3 6 9 | dim. 7 = m6b5 Complement: 1 2 4 5 7 8 10 11 (mode 0) 1: 0 1 3 4 6 7 9 10 | diminished scale = Octatonic scale (mode 1) 2: 0 2 3 5 6 8 9 11 | diminished scale = Octatonic scale (mode 2) 4: 0 1 3 4 6 7 9 10 | diminished scale = Octatonic scale (mode 3) 5: 0 2 3 5 6 8 9 11 | diminished scale = Octatonic scale (mode 4) 7: 0 1 3 4 6 7 9 10 | diminished scale = Octatonic scale (mode 5) 8: 0 2 3 5 6 8 9 11 | diminished scale = Octatonic scale (mode 6) 10: 0 1 3 4 6 7 9 10 | diminished scale = Octatonic scale (mode 7) 11: 0 2 3 5 6 8 9 11 | diminished scale = Octatonic scale All but the root (subchroma complement of 0): 3 6 9 (mode 0) 3: 0 3 6 | dim. = diminished triad = diminished chord (mode 1) 6: 0 3 9 | m6 no 5th (mode 2) 9: 0 6 9 | Web Links JCS Wiki Page for This Chord Type No content as of 2022-5-9. Sostenuto Track in All 12 Transpositions This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3) Diminished seventh chord - Wikipedia Leading-tone - Wikipedia Secondary leading-tone - Wikipedia 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: 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: (mode 0) 0: 0 1 2 3 6 9 | (mode 1) 1: 0 1 2 5 8 11 | (mode 2) 2: 0 1 4 7 10 11 | M#13b9 no 11th (mode 3) 3: 0 3 6 9 10 11 | (mode 4) 6: 0 3 6 7 8 9 | (mode 5) 9: 0 3 4 5 6 9 | (mode 0) 0: 0 3 4 5 6 9 | (mode 1) 3: 0 1 2 3 6 9 | (mode 2) 4: 0 1 2 5 8 11 | (mode 3) 5: 0 1 4 7 10 11 | M#13b9 no 11th (mode 4) 6: 0 3 6 9 10 11 | (mode 5) 9: 0 3 6 7 8 9 | (mode 0) 0: 0 3 6 7 8 9 | (mode 1) 3: 0 3 4 5 6 9 | (mode 2) 6: 0 1 2 3 6 9 | (mode 3) 7: 0 1 2 5 8 11 | (mode 4) 8: 0 1 4 7 10 11 | M#13b9 no 11th (mode 5) 9: 0 3 6 9 10 11 | (mode 0) 0: 0 3 6 9 10 11 | (mode 1) 3: 0 3 6 7 8 9 | (mode 2) 6: 0 3 4 5 6 9 | (mode 3) 9: 0 1 2 3 6 9 | (mode 4) 10: 0 1 2 5 8 11 | (mode 5) 11: 0 1 4 7 10 11 | M#13b9 no 11th (mode 0) 0: 0 1 2 3 6 7 8 9 | (mode 1) 1: 0 1 2 5 6 7 8 11 | (mode 2) 2: 0 1 4 5 6 7 10 11 | (mode 3) 3: 0 3 4 5 6 9 10 11 | (mode 4) 6: 0 1 2 3 6 7 8 9 | (mode 5) 7: 0 1 2 5 6 7 8 11 | (mode 6) 8: 0 1 4 5 6 7 10 11 | (mode 7) 9: 0 3 4 5 6 9 10 11 | (mode 0) 0: 0 3 4 5 6 9 10 11 | (mode 1) 3: 0 1 2 3 6 7 8 9 | (mode 2) 4: 0 1 2 5 6 7 8 11 | (mode 3) 5: 0 1 4 5 6 7 10 11 | (mode 4) 6: 0 3 4 5 6 9 10 11 | (mode 5) 9: 0 1 2 3 6 7 8 9 | (mode 6) 10: 0 1 2 5 6 7 8 11 | (mode 7) 11: 0 1 4 5 6 7 10 11 | chromaticized keep 0: (mode 0) 0: 0 3 6 7 8 9 | (mode 1) 3: 0 3 4 5 6 9 | (mode 2) 6: 0 1 2 3 6 9 | (mode 3) 7: 0 1 2 5 8 11 | (mode 4) 8: 0 1 4 7 10 11 | M#13b9 no 11th (mode 5) 9: 0 3 6 9 10 11 | (mode 0) 0: 0 3 6 9 10 11 | (mode 1) 3: 0 3 6 7 8 9 | (mode 2) 6: 0 3 4 5 6 9 | (mode 3) 9: 0 1 2 3 6 9 | (mode 4) 10: 0 1 2 5 8 11 | (mode 5) 11: 0 1 4 7 10 11 | M#13b9 no 11th (mode 0) 0: 0 1 2 3 6 9 | (mode 1) 1: 0 1 2 5 8 11 | (mode 2) 2: 0 1 4 7 10 11 | M#13b9 no 11th (mode 3) 3: 0 3 6 9 10 11 | (mode 4) 6: 0 3 6 7 8 9 | (mode 5) 9: 0 3 4 5 6 9 | (mode 0) 0: 0 3 4 5 6 9 | (mode 1) 3: 0 1 2 3 6 9 | (mode 2) 4: 0 1 2 5 8 11 | (mode 3) 5: 0 1 4 7 10 11 | M#13b9 no 11th (mode 4) 6: 0 3 6 9 10 11 | (mode 5) 9: 0 3 6 7 8 9 | (mode 0) 0: 0 1 2 3 6 7 8 9 | (mode 1) 1: 0 1 2 5 6 7 8 11 | (mode 2) 2: 0 1 4 5 6 7 10 11 | (mode 3) 3: 0 3 4 5 6 9 10 11 | (mode 4) 6: 0 1 2 3 6 7 8 9 | (mode 5) 7: 0 1 2 5 6 7 8 11 | (mode 6) 8: 0 1 4 5 6 7 10 11 | (mode 7) 9: 0 3 4 5 6 9 10 11 | (mode 0) 0: 0 3 4 5 6 9 10 11 | (mode 1) 3: 0 1 2 3 6 7 8 9 | (mode 2) 4: 0 1 2 5 6 7 8 11 | (mode 3) 5: 0 1 4 5 6 7 10 11 | (mode 4) 6: 0 3 4 5 6 9 10 11 | (mode 5) 9: 0 1 2 3 6 7 8 9 | (mode 6) 10: 0 1 2 5 6 7 8 11 | (mode 7) 11: 0 1 4 5 6 7 10 11 | chromaticized keep 0 7: (mode 0) 0: 0 3 4 5 6 9 10 11 | (mode 1) 3: 0 1 2 3 6 7 8 9 | (mode 2) 4: 0 1 2 5 6 7 8 11 | (mode 3) 5: 0 1 4 5 6 7 10 11 | (mode 4) 6: 0 3 4 5 6 9 10 11 | (mode 5) 9: 0 1 2 3 6 7 8 9 | (mode 6) 10: 0 1 2 5 6 7 8 11 | (mode 7) 11: 0 1 4 5 6 7 10 11 | (mode 0) 0: 0 1 2 3 6 7 8 9 | (mode 1) 1: 0 1 2 5 6 7 8 11 | (mode 2) 2: 0 1 4 5 6 7 10 11 | (mode 3) 3: 0 3 4 5 6 9 10 11 | (mode 4) 6: 0 1 2 3 6 7 8 9 | (mode 5) 7: 0 1 2 5 6 7 8 11 | (mode 6) 8: 0 1 4 5 6 7 10 11 | (mode 7) 9: 0 3 4 5 6 9 10 11 | chromaticized keep 0 3 4 7: N/A alt-chromaticized: (mode 0) 0: 0 2 3 6 7 9 | Bridge chord (mode 1) 2: 0 1 4 5 7 10 | 11b9 (mode 2) 3: 0 3 4 6 9 11 | (mode 3) 6: 0 1 3 6 8 9 | (mode 4) 7: 0 2 5 7 8 11 | (mode 5) 9: 0 3 5 6 9 10 | (mode 0) 0: 0 3 5 6 9 10 | (mode 1) 3: 0 2 3 6 7 9 | Bridge chord (mode 2) 5: 0 1 4 5 7 10 | 11b9 (mode 3) 6: 0 3 4 6 9 11 | (mode 4) 9: 0 1 3 6 8 9 | (mode 5) 10: 0 2 5 7 8 11 | (mode 0) 0: 0 1 3 6 8 9 | (mode 1) 1: 0 2 5 7 8 11 | (mode 2) 3: 0 3 5 6 9 10 | (mode 3) 6: 0 2 3 6 7 9 | Bridge chord (mode 4) 8: 0 1 4 5 7 10 | 11b9 (mode 5) 9: 0 3 4 6 9 11 | (mode 0) 0: 0 3 4 6 9 11 | (mode 1) 3: 0 1 3 6 8 9 | (mode 2) 4: 0 2 5 7 8 11 | (mode 3) 6: 0 3 5 6 9 10 | (mode 4) 9: 0 2 3 6 7 9 | Bridge chord (mode 5) 11: 0 1 4 5 7 10 | 11b9 (mode 0) 0: 0 1 2 3 6 7 8 9 | (mode 1) 1: 0 1 2 5 6 7 8 11 | (mode 2) 2: 0 1 4 5 6 7 10 11 | (mode 3) 3: 0 3 4 5 6 9 10 11 | (mode 4) 6: 0 1 2 3 6 7 8 9 | (mode 5) 7: 0 1 2 5 6 7 8 11 | (mode 6) 8: 0 1 4 5 6 7 10 11 | (mode 7) 9: 0 3 4 5 6 9 10 11 | (mode 0) 0: 0 3 4 5 6 9 10 11 | (mode 1) 3: 0 1 2 3 6 7 8 9 | (mode 2) 4: 0 1 2 5 6 7 8 11 | (mode 3) 5: 0 1 4 5 6 7 10 11 | (mode 4) 6: 0 3 4 5 6 9 10 11 | (mode 5) 9: 0 1 2 3 6 7 8 9 | (mode 6) 10: 0 1 2 5 6 7 8 11 | (mode 7) 11: 0 1 4 5 6 7 10 11 | alt-chromaticized keep 0: (mode 0) 0: 0 2 3 6 7 9 | Bridge chord (mode 1) 2: 0 1 4 5 7 10 | 11b9 (mode 2) 3: 0 3 4 6 9 11 | (mode 3) 6: 0 1 3 6 8 9 | (mode 4) 7: 0 2 5 7 8 11 | (mode 5) 9: 0 3 5 6 9 10 | (mode 0) 0: 0 3 5 6 9 10 | (mode 1) 3: 0 2 3 6 7 9 | Bridge chord (mode 2) 5: 0 1 4 5 7 10 | 11b9 (mode 3) 6: 0 3 4 6 9 11 | (mode 4) 9: 0 1 3 6 8 9 | (mode 5) 10: 0 2 5 7 8 11 | (mode 0) 0: 0 1 3 6 8 9 | (mode 1) 1: 0 2 5 7 8 11 | (mode 2) 3: 0 3 5 6 9 10 | (mode 3) 6: 0 2 3 6 7 9 | Bridge chord (mode 4) 8: 0 1 4 5 7 10 | 11b9 (mode 5) 9: 0 3 4 6 9 11 | (mode 0) 0: 0 3 4 6 9 11 | (mode 1) 3: 0 1 3 6 8 9 | (mode 2) 4: 0 2 5 7 8 11 | (mode 3) 6: 0 3 5 6 9 10 | (mode 4) 9: 0 2 3 6 7 9 | Bridge chord (mode 5) 11: 0 1 4 5 7 10 | 11b9 (mode 0) 0: 0 1 2 3 6 7 8 9 | (mode 1) 1: 0 1 2 5 6 7 8 11 | (mode 2) 2: 0 1 4 5 6 7 10 11 | (mode 3) 3: 0 3 4 5 6 9 10 11 | (mode 4) 6: 0 1 2 3 6 7 8 9 | (mode 5) 7: 0 1 2 5 6 7 8 11 | (mode 6) 8: 0 1 4 5 6 7 10 11 | (mode 7) 9: 0 3 4 5 6 9 10 11 | (mode 0) 0: 0 3 4 5 6 9 10 11 | (mode 1) 3: 0 1 2 3 6 7 8 9 | (mode 2) 4: 0 1 2 5 6 7 8 11 | (mode 3) 5: 0 1 4 5 6 7 10 11 | (mode 4) 6: 0 3 4 5 6 9 10 11 | (mode 5) 9: 0 1 2 3 6 7 8 9 | (mode 6) 10: 0 1 2 5 6 7 8 11 | (mode 7) 11: 0 1 4 5 6 7 10 11 | (mode 0) 0: 0 2 3 5 6 7 9 10 | (mode 1) 2: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 2) 3: 0 2 3 4 6 7 9 11 | (mode 3) 5: 0 1 2 4 5 7 9 10 | (mode 4) 6: 0 1 3 4 6 8 9 11 | (mode 5) 7: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 6) 9: 0 1 3 5 6 8 9 10 | (mode 7) 10: 0 2 4 5 7 8 9 11 | bebop major (mode 0) 0: 0 1 3 5 6 8 9 10 | (mode 1) 1: 0 2 4 5 7 8 9 11 | bebop major (mode 2) 3: 0 2 3 5 6 7 9 10 | (mode 3) 5: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 4) 6: 0 2 3 4 6 7 9 11 | (mode 5) 8: 0 1 2 4 5 7 9 10 | (mode 6) 9: 0 1 3 4 6 8 9 11 | (mode 7) 10: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 0) 0: 0 1 3 4 6 8 9 11 | (mode 1) 1: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 2) 3: 0 1 3 5 6 8 9 10 | (mode 3) 4: 0 2 4 5 7 8 9 11 | bebop major (mode 4) 6: 0 2 3 5 6 7 9 10 | (mode 5) 8: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 6) 9: 0 2 3 4 6 7 9 11 | (mode 7) 11: 0 1 2 4 5 7 9 10 | (mode 0) 0: 0 2 3 4 6 7 9 11 | (mode 1) 2: 0 1 2 4 5 7 9 10 | (mode 2) 3: 0 1 3 4 6 8 9 11 | (mode 3) 4: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 4) 6: 0 1 3 5 6 8 9 10 | (mode 5) 7: 0 2 4 5 7 8 9 11 | bebop major (mode 6) 9: 0 2 3 5 6 7 9 10 | (mode 7) 11: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode alt-chromaticized keep 0 7: (mode 0) 0: 0 3 4 5 6 9 10 11 | (mode 1) 3: 0 1 2 3 6 7 8 9 | (mode 2) 4: 0 1 2 5 6 7 8 11 | (mode 3) 5: 0 1 4 5 6 7 10 11 | (mode 4) 6: 0 3 4 5 6 9 10 11 | (mode 5) 9: 0 1 2 3 6 7 8 9 | (mode 6) 10: 0 1 2 5 6 7 8 11 | (mode 7) 11: 0 1 4 5 6 7 10 11 | (mode 0) 0: 0 1 2 3 6 7 8 9 | (mode 1) 1: 0 1 2 5 6 7 8 11 | (mode 2) 2: 0 1 4 5 6 7 10 11 | (mode 3) 3: 0 3 4 5 6 9 10 11 | (mode 4) 6: 0 1 2 3 6 7 8 9 | (mode 5) 7: 0 1 2 5 6 7 8 11 | (mode 6) 8: 0 1 4 5 6 7 10 11 | (mode 7) 9: 0 3 4 5 6 9 10 11 | alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 3 6 9 0 3 6 9 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Bright Layer Composition order pcset 1 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 2 0 1 3 4 6 7 9 10 = 0: 0 1 3 4 6 7 9 10 = 1: 0 2 3 5 6 8 9 11 = 3: 0 1 3 4 6 7 9 10 = 4: 0 2 3 5 6 8 9 11 = 6: 0 1 3 4 6 7 9 10 = 7: 0 2 3 5 6 8 9 11 = 9: 0 1 3 4 6 7 9 10 = 10: 0 2 3 5 6 8 9 11 3 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 9 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 6 = 6 = 6: 0 9 = 9 = 9: 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 9 = 6 9 = 6: 0 3 9: 0 9 9 0 = 0 9 = 9: 0 3 0: 0 9 subchroma modal system: 0 2 0 6 = 0 6 = 0 6: 0 6 3 9 = 3 9 = 3 9: 0 6 6 0 = 0 6 = 0 6: 0 6 9 3 = 3 9 = 3 9: 0 6 subchroma modal system: 0 1 2 0 3 6 = 0 3 6 = 0: 0 3 6 3: 0 3 9 3 6 9 = 3 6 9 = 3: 0 3 6 6: 0 3 9 6 9 0 = 0 6 9 = 6: 0 3 6 9: 0 3 9 9 0 3 = 0 3 9 = 9: 0 3 6 0: 0 3 9 subchroma modal system: 0 1 2 3 0 3 6 9 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 3 6 9 0 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 6 9 0 3 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 9 0 3 6 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 Subset Chord Types by Root Set 0 3 6 9:0 0 3 6 9:0 3 0 3 6 9:0 6 0 3 6 9:0 9 0 3 6 9:0 3 6 0 3 6 9:0 3 9 0 3 6 9:0 3 6 9 Superset Chord Types by Root Set 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 6 7 9 10 :0 2 3 5 6 8 9 11 0 1 3 4 6 7 9 10 :0 1 2 3 5 6 8 9 11 0 1 3 4 6 7 9 10 :0 2 3 5 6 7 8 9 11 0 1 3 4 6 7 9 10 :0 2 3 5 6 8 9 10 11 0 1 3 4 6 7 9 10 :0 1 2 3 4 5 6 8 9 11 0 1 3 4 6 7 9 10 :0 1 2 3 5 6 7 8 9 11 0 1 3 4 6 7 9 10 :0 1 2 3 5 6 8 9 10 11 0 1 3 4 6 7 9 10 :0 2 3 4 5 6 7 8 9 11 0 1 3 4 6 7 9 10 :0 2 3 4 5 6 8 9 10 11 0 1 3 4 6 7 9 10 :0 2 3 5 6 7 8 9 10 11 0 1 3 4 6 7 9 10 :0 1 2 3 4 5 6 7 8 9 11 0 1 3 4 6 7 9 10 :0 1 2 3 4 5 6 8 9 10 11 0 1 3 4 6 7 9 10 :0 1 2 3 5 6 7 8 9 10 11 0 1 3 4 6 7 9 10 :0 2 3 4 5 6 7 8 9 10 11 0 2 3 5 6 8 9 11 :0 1 3 4 6 7 9 10 0 2 3 5 6 8 9 11 :0 1 2 3 4 6 7 9 10 0 2 3 5 6 8 9 11 :0 1 3 4 5 6 7 9 10 0 2 3 5 6 8 9 11 :0 1 3 4 6 7 8 9 10 0 2 3 5 6 8 9 11 :0 1 3 4 6 7 9 10 11 0 2 3 5 6 8 9 11 :0 1 2 3 4 5 6 7 9 10 0 2 3 5 6 8 9 11 :0 1 2 3 4 6 7 8 9 10 0 2 3 5 6 8 9 11 :0 1 2 3 4 6 7 9 10 11 0 2 3 5 6 8 9 11 :0 1 3 4 5 6 7 8 9 10 0 2 3 5 6 8 9 11 :0 1 3 4 5 6 7 9 10 11 0 2 3 5 6 8 9 11 :0 1 3 4 6 7 8 9 10 11 0 2 3 5 6 8 9 11 :0 1 2 3 4 5 6 7 8 9 10 0 2 3 5 6 8 9 11 :0 1 2 3 4 5 6 7 9 10 11 0 2 3 5 6 8 9 11 :0 1 2 3 4 6 7 8 9 10 11 0 2 3 5 6 8 9 11 :0 1 3 4 5 6 7 8 9 10 11 0 3 6 9 :0 3 6 9 0 3 6 9 :0 1 3 6 9 0 3 6 9 :0 3 4 6 9 0 3 6 9 :0 3 6 7 9 0 3 6 9 :0 2 3 4 6 9 0 3 6 9 :0 1 3 6 7 9 0 3 6 9 :0 2 3 6 7 9 0 3 6 9 :0 3 4 6 7 9 0 3 6 9 :0 3 5 6 7 9 0 3 6 9 :0 3 6 7 8 9 0 3 6 9 :0 3 6 7 9 10 0 3 6 9 :0 3 6 7 9 11 0 3 6 9 :0 1 2 3 6 7 9 0 3 6 9 :0 1 3 4 6 7 9 0 3 6 9 :0 2 3 4 5 6 9 0 3 6 9 :0 2 3 4 6 7 9 0 3 6 9 :0 1 2 3 6 9 10 0 3 6 9 :0 2 3 5 6 7 9 0 3 6 9 :0 3 4 5 6 7 9 0 3 6 9 :0 1 3 6 7 8 9 0 3 6 9 :0 2 3 6 7 8 9 0 3 6 9 :0 3 4 6 7 8 9 0 3 6 9 :0 1 3 5 6 9 10 0 3 6 9 :0 1 3 5 6 9 11 0 3 6 9 :0 1 3 6 7 9 10 0 3 6 9 :0 1 3 6 7 9 11 0 3 6 9 :0 1 3 6 8 9 10 0 3 6 9 :0 1 3 6 8 9 11 0 3 6 9 :0 2 3 5 6 9 10 0 3 6 9 :0 2 3 5 6 9 11 0 3 6 9 :0 2 3 6 7 9 10 0 3 6 9 :0 2 3 6 7 9 11 0 3 6 9 :0 2 3 6 8 9 10 0 3 6 9 :0 2 3 6 8 9 11 0 3 6 9 :0 3 4 5 6 9 10 0 3 6 9 :0 3 4 5 6 9 11 0 3 6 9 :0 3 4 6 7 9 10 0 3 6 9 :0 3 4 6 7 9 11 0 3 6 9 :0 3 4 6 8 9 10 0 3 6 9 :0 3 4 6 8 9 11 0 3 6 9 :0 2 3 6 9 10 11 0 3 6 9 :0 3 4 6 9 10 11 0 3 6 9 :0 3 5 6 7 8 9 0 3 6 9 :0 3 5 6 7 9 10 0 3 6 9 :0 3 5 6 7 9 11 0 3 6 9 :0 3 6 7 8 9 10 0 3 6 9 :0 3 6 7 8 9 11 0 3 6 9 :0 3 6 7 9 10 11 0 3 6 9 :0 1 2 3 4 6 7 9 0 3 6 9 :0 1 2 3 5 6 7 9 0 3 6 9 :0 1 3 4 5 6 7 9 0 3 6 9 :0 1 2 3 6 7 8 9 0 3 6 9 :0 1 3 4 6 7 8 9 0 3 6 9 :0 2 3 4 6 7 8 9 0 3 6 9 :0 1 2 3 6 7 9 10 0 3 6 9 :0 1 2 3 6 7 9 11 0 3 6 9 :0 1 3 4 5 6 9 10 0 3 6 9 :0 1 3 4 6 7 9 11 0 3 6 9 :0 2 3 4 5 6 9 10 0 3 6 9 :0 2 3 4 6 7 9 10 0 3 6 9 :0 2 3 4 6 7 9 11 0 3 6 9 :0 1 3 4 6 9 10 11 0 3 6 9 :0 2 3 4 6 9 10 11 0 3 6 9 :0 2 3 4 5 6 7 9 0 3 6 9 :0 1 3 5 6 7 8 9 0 3 6 9 :0 2 3 5 6 7 8 9 0 3 6 9 :0 1 3 5 6 7 9 10 0 3 6 9 :0 1 3 5 6 7 9 11 0 3 6 9 :0 2 3 5 6 7 9 10 0 3 6 9 :0 2 3 5 6 7 9 11 0 3 6 9 :0 3 4 5 6 7 9 10 0 3 6 9 :0 3 4 5 6 7 9 11 0 3 6 9 :0 1 3 5 6 9 10 11 0 3 6 9 :0 1 3 6 7 8 9 10 0 3 6 9 :0 1 3 6 7 8 9 11 0 3 6 9 :0 1 3 6 7 9 10 11 0 3 6 9 :0 2 3 6 7 8 9 10 0 3 6 9 :0 2 3 6 7 8 9 11 0 3 6 9 :0 2 3 6 7 9 10 11 0 3 6 9 :0 3 4 5 6 9 10 11 0 3 6 9 :0 3 4 6 7 8 9 10 0 3 6 9 :0 3 4 6 7 8 9 11 0 3 6 9 :0 3 4 6 7 9 10 11 0 3 6 9 :0 3 5 6 7 8 9 10 0 3 6 9 :0 3 5 6 7 8 9 11 0 3 6 9 :0 3 5 6 7 9 10 11 0 3 6 9 :0 3 6 7 8 9 10 11 0 3 6 9 :0 1 2 3 4 5 6 7 9 0 3 6 9 :0 1 2 3 4 6 7 8 9 0 3 6 9 :0 1 2 3 4 5 6 9 10 0 3 6 9 :0 1 2 3 4 6 7 9 11 0 3 6 9 :0 1 2 3 5 6 7 8 9 0 3 6 9 :0 2 3 4 5 6 7 8 9 0 3 6 9 :0 1 2 3 5 6 7 9 10 0 3 6 9 :0 1 2 3 5 6 7 9 11 0 3 6 9 :0 1 3 4 5 6 7 9 11 0 3 6 9 :0 2 3 4 5 6 7 9 10 0 3 6 9 :0 2 3 4 5 6 7 9 11 0 3 6 9 :0 1 2 3 6 7 8 9 10 0 3 6 9 :0 1 2 3 6 7 8 9 11 0 3 6 9 :0 1 2 3 6 7 9 10 11 0 3 6 9 :0 1 3 4 6 7 8 9 11 0 3 6 9 :0 2 3 4 5 6 9 10 11 0 3 6 9 :0 2 3 4 6 7 8 9 10 0 3 6 9 :0 2 3 4 6 7 8 9 11 0 3 6 9 :0 2 3 4 6 7 9 10 11 0 3 6 9 :0 1 3 5 6 7 8 9 10 0 3 6 9 :0 1 3 5 6 7 8 9 11 0 3 6 9 :0 2 3 5 6 7 8 9 10 0 3 6 9 :0 1 3 5 6 7 9 10 11 0 3 6 9 :0 2 3 5 6 7 9 10 11 0 3 6 9 :0 3 4 5 6 7 8 9 10 0 3 6 9 :0 3 4 5 6 7 8 9 11 0 3 6 9 :0 3 4 5 6 7 9 10 11 0 3 6 9 :0 1 3 6 7 8 9 10 11 0 3 6 9 :0 2 3 6 7 8 9 10 11 0 3 6 9 :0 3 4 6 7 8 9 10 11 0 3 6 9 :0 3 5 6 7 8 9 10 11 0 3 6 9 :0 1 2 3 4 5 6 7 8 9 0 3 6 9 :0 1 2 3 4 5 6 7 9 11 0 3 6 9 :0 1 2 3 4 5 6 8 9 10 0 3 6 9 :0 1 2 3 4 5 6 9 10 11 0 3 6 9 :0 1 2 3 4 6 7 8 9 11 0 3 6 9 :0 1 2 3 4 6 8 9 10 11 0 3 6 9 :0 1 2 3 5 6 7 8 9 10 0 3 6 9 :0 1 2 3 5 6 7 9 10 11 0 3 6 9 :0 1 3 4 5 6 7 8 9 11 0 3 6 9 :0 2 3 4 5 6 7 8 9 10 0 3 6 9 :0 2 3 4 5 6 7 9 10 11 0 3 6 9 :0 1 2 3 6 7 8 9 10 11 0 3 6 9 :0 1 3 4 5 6 8 9 10 11 0 3 6 9 :0 2 3 4 6 7 8 9 10 11 0 3 6 9 :0 1 3 5 6 7 8 9 10 11 0 3 6 9 :0 3 4 5 6 7 8 9 10 11 1 2 4 5 7 8 10 11 :0 1 2 4 5 7 8 10 11 1 2 4 5 7 8 10 11 :0 1 2 3 4 5 7 8 10 11 1 2 4 5 7 8 10 11 :0 1 2 4 5 6 7 8 10 11 1 2 4 5 7 8 10 11 :0 1 2 4 5 7 8 9 10 11 1 2 4 5 7 8 10 11 :0 1 2 3 4 5 6 7 8 10 11 1 2 4 5 7 8 10 11 :0 1 2 3 4 5 7 8 9 10 11 1 2 4 5 7 8 10 11 :0 1 2 4 5 6 7 8 9 10 11 1 4 7 10 :0 2 5 7 8 11 1 4 7 10 :0 1 2 5 7 8 11 1 4 7 10 :0 2 3 5 6 8 11 1 4 7 10 :0 2 3 5 7 8 11 1 4 7 10 :0 2 3 5 8 9 11 1 4 7 10 :0 2 3 5 8 10 11 1 4 7 10 :0 2 4 5 6 8 11 1 4 7 10 :0 2 4 5 7 8 11 1 4 7 10 :0 2 4 5 8 9 11 1 4 7 10 :0 2 4 5 8 10 11 1 4 7 10 :0 2 5 7 8 9 11 1 4 7 10 :0 2 5 7 8 10 11 1 4 7 10 :0 1 2 3 5 7 8 11 1 4 7 10 :0 1 2 4 5 7 8 11 1 4 7 10 :0 2 3 4 5 7 8 11 1 4 7 10 :0 1 2 5 6 7 8 11 1 4 7 10 :0 1 2 5 7 8 10 11 1 4 7 10 :0 2 3 5 6 7 8 11 1 4 7 10 :0 2 4 5 6 7 8 11 1 4 7 10 :0 2 3 5 7 8 9 11 1 4 7 10 :0 2 3 5 7 8 10 11 1 4 7 10 :0 2 3 5 8 9 10 11 1 4 7 10 :0 2 4 5 7 8 9 11 1 4 7 10 :0 2 4 5 7 8 10 11 1 4 7 10 :0 2 5 6 7 8 10 11 1 4 7 10 :0 2 5 7 8 9 10 11 1 4 7 10 :0 1 2 3 4 5 7 8 11 1 4 7 10 :0 1 2 3 5 6 7 8 11 1 4 7 10 :0 1 2 4 5 6 7 8 11 1 4 7 10 :0 2 3 4 5 6 7 8 11 1 4 7 10 :0 1 2 3 5 7 8 9 11 1 4 7 10 :0 1 2 3 5 7 8 10 11 1 4 7 10 :0 1 2 4 5 7 8 9 11 1 4 7 10 :0 2 3 4 5 7 8 9 11 1 4 7 10 :0 2 3 4 5 7 8 10 11 1 4 7 10 :0 1 2 5 7 8 9 10 11 1 4 7 10 :0 2 4 5 6 7 8 9 11 1 4 7 10 :0 2 3 5 6 7 8 10 11 1 4 7 10 :0 2 4 5 6 7 8 10 11 1 4 7 10 :0 2 3 5 7 8 9 10 11 1 4 7 10 :0 2 4 5 7 8 9 10 11 1 4 7 10 :0 1 2 3 4 5 6 7 8 11 1 4 7 10 :0 1 2 3 4 5 6 8 10 11 1 4 7 10 :0 1 2 3 4 5 7 8 9 11 1 4 7 10 :0 1 2 3 4 5 8 9 10 11 1 4 7 10 :0 1 2 3 5 6 7 8 10 11 1 4 7 10 :0 1 2 4 5 6 7 8 9 11 1 4 7 10 :0 1 2 4 5 6 8 9 10 11 1 4 7 10 :0 2 3 4 5 6 7 8 10 11 1 4 7 10 :0 1 2 3 5 7 8 9 10 11 1 4 7 10 :0 2 3 4 5 7 8 9 10 11 1 4 7 10 :0 1 2 5 6 7 8 9 10 11 1 4 7 10 :0 2 4 5 6 7 8 9 10 11 2 5 8 11 :0 1 4 7 10 2 5 8 11 :0 1 2 4 7 10 2 5 8 11 :0 1 3 4 7 10 2 5 8 11 :0 1 4 5 7 10 2 5 8 11 :0 1 4 6 7 10 2 5 8 11 :0 1 4 7 8 10 2 5 8 11 :0 1 4 7 9 10 2 5 8 11 :0 1 4 7 10 11 2 5 8 11 :0 1 2 3 4 7 10 2 5 8 11 :0 1 2 4 5 7 10 2 5 8 11 :0 1 2 4 6 7 10 2 5 8 11 :0 1 3 4 5 7 10 2 5 8 11 :0 1 3 4 6 7 10 2 5 8 11 :0 1 2 4 7 8 10 2 5 8 11 :0 1 2 4 7 9 10 2 5 8 11 :0 1 2 4 7 10 11 2 5 8 11 :0 1 3 4 7 8 10 2 5 8 11 :0 1 3 4 7 9 10 2 5 8 11 :0 1 3 4 7 10 11 2 5 8 11 :0 1 4 5 6 7 10 2 5 8 11 :0 1 4 5 7 8 10 2 5 8 11 :0 1 4 5 7 9 10 2 5 8 11 :0 1 4 5 7 10 11 2 5 8 11 :0 1 4 6 7 8 10 2 5 8 11 :0 1 4 6 7 9 10 2 5 8 11 :0 1 4 6 7 10 11 2 5 8 11 :0 1 4 7 8 9 10 2 5 8 11 :0 1 4 7 8 10 11 2 5 8 11 :0 1 4 7 9 10 11 2 5 8 11 :0 1 2 3 4 5 7 10 2 5 8 11 :0 1 2 3 4 6 7 10 2 5 8 11 :0 1 2 3 4 7 8 10 2 5 8 11 :0 1 2 3 4 7 9 10 2 5 8 11 :0 1 2 3 4 7 10 11 2 5 8 11 :0 1 2 4 5 6 7 10 2 5 8 11 :0 1 3 4 5 6 7 10 2 5 8 11 :0 1 2 4 5 7 8 10 2 5 8 11 :0 1 2 4 5 7 9 10 2 5 8 11 :0 1 2 4 5 7 10 11 2 5 8 11 :0 1 2 4 6 7 8 10 2 5 8 11 :0 1 2 4 6 7 9 10 2 5 8 11 :0 1 2 4 6 7 10 11 2 5 8 11 :0 1 3 4 5 7 8 10 2 5 8 11 :0 1 3 4 5 7 9 10 2 5 8 11 :0 1 3 4 5 7 10 11 2 5 8 11 :0 1 3 4 6 7 8 10 2 5 8 11 :0 1 3 4 6 7 10 11 2 5 8 11 :0 1 2 4 7 8 9 10 2 5 8 11 :0 1 2 4 7 8 10 11 2 5 8 11 :0 1 2 4 7 9 10 11 2 5 8 11 :0 1 3 4 7 8 9 10 2 5 8 11 :0 1 3 4 7 8 10 11 2 5 8 11 :0 1 3 4 7 9 10 11 2 5 8 11 :0 1 4 5 6 7 8 10 2 5 8 11 :0 1 4 5 6 7 9 10 2 5 8 11 :0 1 4 5 6 7 10 11 2 5 8 11 :0 1 4 5 7 8 9 10 2 5 8 11 :0 1 4 5 7 8 10 11 2 5 8 11 :0 1 4 5 7 9 10 11 2 5 8 11 :0 1 4 6 7 8 9 10 2 5 8 11 :0 1 4 6 7 8 10 11 2 5 8 11 :0 1 4 6 7 9 10 11 2 5 8 11 :0 1 4 7 8 9 10 11 2 5 8 11 :0 1 2 3 4 5 6 7 10 2 5 8 11 :0 1 2 3 4 5 7 8 10 2 5 8 11 :0 1 2 3 4 5 7 9 10 2 5 8 11 :0 1 2 3 4 5 7 10 11 2 5 8 11 :0 1 2 3 4 6 7 8 10 2 5 8 11 :0 1 2 3 4 6 7 10 11 2 5 8 11 :0 1 2 3 4 7 8 9 10 2 5 8 11 :0 1 2 3 4 7 8 10 11 2 5 8 11 :0 1 2 3 4 7 9 10 11 2 5 8 11 :0 1 2 4 5 6 7 8 10 2 5 8 11 :0 1 2 4 5 6 7 9 10 2 5 8 11 :0 1 2 4 5 6 7 10 11 2 5 8 11 :0 1 3 4 5 6 7 8 10 2 5 8 11 :0 1 3 4 5 6 7 10 11 2 5 8 11 :0 1 2 4 5 7 8 9 10 2 5 8 11 :0 1 2 4 5 7 9 10 11 2 5 8 11 :0 1 2 4 6 7 8 9 10 2 5 8 11 :0 1 2 4 6 7 8 10 11 2 5 8 11 :0 1 2 4 6 7 9 10 11 2 5 8 11 :0 1 3 4 5 7 8 9 10 2 5 8 11 :0 1 3 4 5 7 8 10 11 2 5 8 11 :0 1 3 4 5 7 9 10 11 2 5 8 11 :0 1 3 4 6 7 8 10 11 2 5 8 11 :0 1 3 4 7 8 9 10 11 2 5 8 11 :0 1 2 4 7 8 9 10 11 2 5 8 11 :0 1 4 5 6 7 8 9 10 2 5 8 11 :0 1 4 5 6 7 8 10 11 2 5 8 11 :0 1 4 5 6 7 9 10 11 2 5 8 11 :0 1 4 5 7 8 9 10 11 2 5 8 11 :0 1 4 6 7 8 9 10 11 2 5 8 11 :0 1 2 3 4 5 6 7 8 10 2 5 8 11 :0 1 2 3 4 5 6 7 10 11 2 5 8 11 :0 1 2 3 4 5 7 8 9 10 2 5 8 11 :0 1 2 3 4 5 7 9 10 11 2 5 8 11 :0 1 2 3 4 6 7 8 10 11 2 5 8 11 :0 1 2 3 4 7 8 9 10 11 2 5 8 11 :0 1 2 4 5 6 7 8 9 10 2 5 8 11 :0 1 2 4 5 6 7 9 10 11 2 5 8 11 :0 1 3 4 5 6 7 8 10 11 2 5 8 11 :0 1 2 4 6 7 8 9 10 11 2 5 8 11 :0 1 3 4 5 7 8 9 10 11 2 5 8 11 :0 1 4 5 6 7 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 4ths / 11ths (Scale Degrees: 14) 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 6ths / 13ths (Scale Degrees: 16) 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Triads (Scale Degrees: 135) 0 3 6 = dim. | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 6th Chords (Scale Degrees: 1356) 0 3 6 9 = dim. 7, m6b5 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Superset Chord Types By Family Chord Type Roots 6th Chords (Scale Degrees: 1356) 0 3 6 9 = dim. 7, m6b5 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 6/9 chords (Scale Degrees: 12356) 0 1 3 6 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 9th chords (Scale Degrees: 12357) 0 1 4 7 10 = 7b9 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 13456 0 3 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 122356 0 2 3 4 6 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 122357 0 1 2 4 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456) 0 1 3 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 6 7 9 = Bridge chord | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 4 5 7 10 = 11b9 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 6 7 10 = M#11b9, Tritone scale, Petrushka | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 1 4 7 8 10 = 7b13b9 no 11th | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 7 9 10 = 13b9 no 11th | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 7 10 11 = M#13b9 no 11th | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 diamorphic scales no 3rd (Scale Degrees: 124567) 0 2 5 7 8 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 Scale Degrees: 134456 0 3 5 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 134566 0 3 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 diamorphic scales no 2nd (Scale Degrees: 134567) 0 3 6 7 9 10 = m13#11 no 9th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 6 7 9 11 = mM13#11 no 9th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1223357 0 1 2 3 4 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 1223456 0 1 2 3 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 4 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 4 5 6 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 4 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1223457 0 1 2 4 5 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 6 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 6 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 1223567 0 1 2 3 6 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 4 7 8 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 7 8 10 = Shostakovitch, alt. scale | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 1224567 0 1 2 5 7 8 11 = Ganamurti | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 Scale Degrees: 1234456 0 2 3 5 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 5 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1234457 0 1 4 5 6 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 1234566 0 1 3 6 7 8 9 = Gavambhodi | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 7 8 9 = Sucharitra | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 5 6 9 10 = m13b5b9, oriental | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 5 6 9 11 = mM13b5b9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 6 7 9 10 = m13b9#11, Shadvidamargini | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 6 7 9 11 = mM13b9#11, Suvarnangi | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 6 8 9 10 = m13b9#11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 6 8 9 11 = mM13b9#11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 4 5 7 8 10 = 7b13b9, Spanish Gypsy, phryg. dom., Freygish, Hijaz, Homayoun, Vakulabharanam | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 5 7 9 10 = 13b9, neapolitan mixolydian, Chakravakam | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 5 7 10 11 = M#13b9, Hatakambari | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 6 7 8 10 = 7b13b9#11, Naamanarayani | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 6 7 9 10 = 13b9#11, Ramapriya | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 6 7 10 11 = M#13b9#11, Vishwambari | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 5 6 8 11 = mMb13b5, locrian min. | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 3 5 6 9 10 = m13b5, doric locrian, kiordi asc. | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 5 6 9 11 = mM13#11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 5 7 8 11 = mMb13, harm. min., Keeravani | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 3 5 8 9 11 = mM13#5 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 3 5 8 10 11 = mMb13 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 3 6 7 9 10 = m13#11, Misheberak, Ukrainian Dor., souzinak, Romanian min., Hemavati | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 6 7 9 11 = mM13#11, lydian dim., Dharmavati | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 6 8 9 10 = m13#5#11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 6 8 9 11 = mM13#5#11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 4 5 6 8 11 = M7b13b5 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 4 5 7 8 11 = Mb13, Harmonic maj., Sarasangi, suzinak | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 4 5 8 9 11 = M13#5 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 4 5 8 10 11 = M#13#5 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 3 4 5 6 9 10 = 13b5#9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 5 6 9 11 = M13b5#9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 7 9 10 = 13#9#11, Hungarian maj. I, Naasikabhushini | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 7 9 11 = M13#9#11, Hungarian maj. II, mustar, periaiotikos, Kosalamu | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 8 9 10 = 13#5#9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 8 9 11 = mM13#5#9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1235667 0 1 4 7 8 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 7 8 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 4 7 9 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 6 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 4 6 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1245667 0 2 5 7 8 9 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 5 7 8 10 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 Scale Degrees: 1344566 0 3 5 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1344567 0 3 5 6 7 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 5 6 7 9 11 = min.-maj. blues septad | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 1345667 0 3 6 7 8 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 6 7 8 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 6 7 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 12223456 0 1 2 3 4 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 12223457 0 1 2 3 4 5 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 6 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 12223567 0 1 2 3 4 7 8 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 3 4 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 12234456 0 1 2 3 5 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 4 5 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 12234457 0 1 2 4 5 6 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 6 7 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 Scale Degrees: 12234566 0 1 2 3 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 4 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 4 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 diamorphic with supplementary 2nd (Scale Degrees: 12234567) 0 1 2 3 5 7 8 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 1 2 3 6 7 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 3 6 7 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 2 4 5 7 8 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 5 7 8 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 1 2 4 5 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 5 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 6 7 8 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 6 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 6 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 6 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 4 5 7 8 10 = 8-tone Span. phrygian, Flamenco | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 7 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 5 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 6 7 8 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 6 7 9 10 = dim. scale, Octatonic | 0 2 3 5 6 8 9 11 = 0: 0 2 3 5 6 8 9 11 = 2: 0 1 3 4 6 7 9 10 = 3: 0 2 3 5 6 8 9 11 = 5: 0 1 3 4 6 7 9 10 = 6: 0 2 3 5 6 8 9 11 = 8: 0 1 3 4 6 7 9 10 = 9: 0 2 3 5 6 8 9 11 = 11: 0 1 3 4 6 7 9 10 0 1 3 4 6 7 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 4 6 7 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 4 5 6 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 4 5 7 8 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 0 2 3 4 6 7 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 4 6 7 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 12235667 0 1 2 4 7 8 9 10 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 7 8 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 2 4 7 9 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 6 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 4 7 8 9 10 = ultraphrygian | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 7 8 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 1 3 4 7 9 10 11 | 2 5 8 11 = 2: 0 3 6 9 = 5: 0 3 6 9 = 8: 0 3 6 9 = 11: 0 3 6 9 0 2 3 4 6 9 10 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 12244567 0 1 2 5 6 7 8 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 Scale Degrees: 12245667 0 1 2 5 7 8 10 11 | 1 4 7 10 = 1: 0 3 6 9 = 4: 0 3 6 9 = 7: 0 3 6 9 = 10: 0 3 6 9 chromatic nonachord (Scale Degrees: 12344456) 0 2 3 4 5 6 7 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 Scale Degrees: 12344566 0 1 3 5 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 2 3 5 6 7 8 9 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 diamorphic with supplementary 4th (Scale Degrees: 12344567) 0 1 3 5 6 7 9 10 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 1 3 5 6 7 9 11 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9

order	origin	root set	chord type (as pcset)
1	0 3 6 9	0 3 6 9	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9

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

Chord Type		Roots
Unison (Scale Degrees: 1)
0 = root, unison, octave	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9

3rds / 10ths (Scale Degrees: 13)
0 3 = aug. 2nd, min. 3rd, aug. 9th	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9

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

6ths / 13ths (Scale Degrees: 16)
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9

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

6th Chords (Scale Degrees: 1356)
0 3 6 9 = dim. 7, m6b5	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9