Chord Type: 0 4 7 8 10 11

0 4 7 8 10 11

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This Chord Type Chord Diagrams in 4ths Tuning
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Chord Type: 0 4 7 8 10 11

General Statistics Cardinality: 6 Jordan Number: 6-40 Forte Number: 6-15 Forte Prime Form: [0,1,2,4,5,8] Zeitler Scale Name: Lathimic Ian Ring's Scale Page 3473 Root Reference: 0 4 7 8 10 11 Tone Stacking: 0 4 3 1 2 1 Interval Stacking: 4 3 1 2 1 1 Binary: 1 0 0 0 1 0 0 1 1 0 1 1 Decimal Value: 3473 Interval Vector: 3 2 3 4 2 1 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.667 Harmonic Adjacency (0-1): 0.333 Modal-system-invariant under multiplication by: 1 Modal System Balanced: no Diachromatic Family: Scale Degrees: 135667 0 3 7 8 9 10 0 3 7 8 9 11 0 3 7 8 10 11 0 3 7 9 10 11 0 4 6 9 10 11 0 4 7 8 9 10 0 4 7 8 9 11 ->0 4 7 8 10 11 0 4 7 9 10 11 0 4 8 9 10 11 All Transpositions of Chord Type: +0= 0 4 7 8 10 11 | +1= 0 1 5 8 9 11 | +2= 0 1 2 6 9 10 | +3= 1 2 3 7 10 11 | +4= 0 2 3 4 8 11 | +5= 0 1 3 4 5 9 | +6= 1 2 4 5 6 10 | +7= 2 3 5 6 7 11 | +8= 0 3 4 6 7 8 | +9= 1 4 5 7 8 9 | +10= 2 5 6 8 9 10 | +11= 3 6 7 9 10 11 | Modes of Chord Type: (mode 0) 0: 0 4 7 8 10 11 | (mode 1) 4: 0 3 4 6 7 8 | (mode 2) 7: 0 1 3 4 5 9 | (mode 3) 8: 0 2 3 4 8 11 | (mode 4) 10: 0 1 2 6 9 10 | (mode 5) 11: 0 1 5 8 9 11 | Modes of Chord Type Sorted by Rootedness: 1.525(mode 0)0:0 4 7 8 10 11 | 1.250(mode 1)4:0 3 4 6 7 8 | 1.008(mode 3)8:0 2 3 4 8 11 | .783(mode 2)7:0 1 3 4 5 9 | .633(mode 4)10:0 1 2 6 9 10 | .033(mode 5)11:0 1 5 8 9 11 | Inversion at 0: 0 1 2 4 5 8 (mode 0) 0: 0 1 2 4 5 8 | (mode 1) 1: 0 1 3 4 7 11 | (mode 2) 2: 0 2 3 6 10 11 | (mode 3) 4: 0 1 4 8 9 10 | (mode 4) 5: 0 3 7 8 9 11 | (mode 5) 8: 0 4 5 6 8 9 | Times 7: 0 1 4 5 8 10 (mode 0) 0: 0 1 4 5 8 10 | (mode 1) 1: 0 3 4 7 9 11 | M13#9 no 11th (mode 2) 4: 0 1 4 6 8 9 | (mode 3) 5: 0 3 5 7 8 11 | mM7b13 no 9th (mode 4) 8: 0 2 4 5 8 9 | (mode 5) 10: 0 2 3 6 7 10 | m#11 Times 5: 0 2 4 7 8 11 (mode 0) 0: 0 2 4 7 8 11 | M7b13 no 11th (mode 1) 2: 0 2 5 6 9 10 | (mode 2) 4: 0 3 4 7 8 10 | 7b13#9 no 11th (mode 3) 7: 0 1 4 5 7 9 | (mode 4) 8: 0 3 4 6 8 11 | (mode 5) 11: 0 1 3 5 8 9 | Modal System: 0 1 2 6 9 10 from root(s) 10 | "" Modes of Modal System: (mode 0) 0: 0 1 2 6 9 10 | (mode 1) 1: 0 1 5 8 9 11 | (mode 2) 2: 0 4 7 8 10 11 | (mode 3) 6: 0 3 4 6 7 8 | (mode 4) 9: 0 1 3 4 5 9 | (mode 5) 10: 0 2 3 4 8 11 | Complement: 1 2 3 5 6 9 (mode 0) 1: 0 1 2 4 5 8 | (mode 1) 2: 0 1 3 4 7 11 | (mode 2) 3: 0 2 3 6 10 11 | (mode 3) 5: 0 1 4 8 9 10 | (mode 4) 6: 0 3 7 8 9 11 | (mode 5) 9: 0 4 5 6 8 9 | All but the root (subchroma complement of 0): 4 7 8 10 11 (mode 0) 4: 0 3 4 6 7 | (mode 1) 7: 0 1 3 4 9 | (mode 2) 8: 0 2 3 8 11 | (mode 3) 10: 0 1 6 9 10 | (mode 4) 11: 0 5 8 9 11 | Web Links JCS Wiki Page for This Chord Type Has content as of 2022-5-9. This Chord Type, All Keys -- Notation: (Staff, Treble Clef) Audio: (.mp3) De-Chromaticizations Dechromaticised: 0 4 7 8 10 (mode 0) 0: 0 4 7 8 10 | 7/b6 (mode 1) 4: 0 3 4 6 8 | (mode 2) 7: 0 1 3 5 9 | (mode 3) 8: 0 2 4 8 11 | M9#5 (mode 4) 10: 0 2 6 9 10 | Dechromaticised but Keep 0 0 4 7 8 10 (unchanged) (mode 0) 0: 0 4 7 8 10 | 7/b6 (mode 1) 4: 0 3 4 6 8 | (mode 2) 7: 0 1 3 5 9 | (mode 3) 8: 0 2 4 8 11 | M9#5 (mode 4) 10: 0 2 6 9 10 | Dechromaticised but Keep 0 7 0 4 7 8 10 (unchanged) (mode 0) 0: 0 4 7 8 10 | 7/b6 (mode 1) 4: 0 3 4 6 8 | (mode 2) 7: 0 1 3 5 9 | (mode 3) 8: 0 2 4 8 11 | M9#5 (mode 4) 10: 0 2 6 9 10 | Dechromaticised but Keep 0 3 4 7 0 4 7 8 10 (unchanged) (mode 0) 0: 0 4 7 8 10 | 7/b6 (mode 1) 4: 0 3 4 6 8 | (mode 2) 7: 0 1 3 5 9 | (mode 3) 8: 0 2 4 8 11 | M9#5 (mode 4) 10: 0 2 6 9 10 | 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: (mode 0) 0: 0 4 5 6 7 8 10 11 | (mode 1) 4: 0 1 2 3 4 6 7 8 | (mode 2) 5: 0 1 2 3 5 6 7 11 | (mode 3) 6: 0 1 2 4 5 6 10 11 | (mode 4) 7: 0 1 3 4 5 9 10 11 | (mode 5) 8: 0 2 3 4 8 9 10 11 | (mode 6) 10: 0 1 2 6 7 8 9 10 | (mode 7) 11: 0 1 5 6 7 8 9 11 | alt-chromaticized: (mode 0) 0: 0 3 4 7 8 10 11 | 03478B & m7 = 03478B & dom.7 (mode 1) 3: 0 1 4 5 7 8 9 | (mode 2) 4: 0 3 4 6 7 8 11 | Mb13b5#9 = mela 69 Dhatuvardani (mode 3) 7: 0 1 3 4 5 8 9 | (mode 4) 8: 0 2 3 4 7 8 11 | (mode 5) 10: 0 1 2 5 6 9 10 | (mode 6) 11: 0 1 4 5 8 9 11 | M13#5b9 alt-chromaticized keep 0: (mode 0) 0: 0 3 4 7 8 10 11 | 03478B & m7 = 03478B & dom.7 (mode 1) 3: 0 1 4 5 7 8 9 | (mode 2) 4: 0 3 4 6 7 8 11 | Mb13b5#9 = mela 69 Dhatuvardani (mode 3) 7: 0 1 3 4 5 8 9 | (mode 4) 8: 0 2 3 4 7 8 11 | (mode 5) 10: 0 1 2 5 6 9 10 | (mode 6) 11: 0 1 4 5 8 9 11 | M13#5b9 (mode 0) 0: 0 4 5 7 8 10 11 | (mode 1) 4: 0 1 3 4 6 7 8 | (mode 2) 5: 0 2 3 5 6 7 11 | (mode 3) 7: 0 1 3 4 5 9 10 | (mode 4) 8: 0 2 3 4 8 9 11 | (mode 5) 10: 0 1 2 6 7 9 10 | mela 40 Navaneetam (mode 6) 11: 0 1 5 6 8 9 11 | alt-chromaticized keep 0 7: (mode 0) 0: 0 3 4 7 8 10 11 | 03478B & m7 = 03478B & dom.7 (mode 1) 3: 0 1 4 5 7 8 9 | (mode 2) 4: 0 3 4 6 7 8 11 | Mb13b5#9 = mela 69 Dhatuvardani (mode 3) 7: 0 1 3 4 5 8 9 | (mode 4) 8: 0 2 3 4 7 8 11 | (mode 5) 10: 0 1 2 5 6 9 10 | (mode 6) 11: 0 1 4 5 8 9 11 | M13#5b9 (mode 0) 0: 0 4 5 7 8 10 11 | (mode 1) 4: 0 1 3 4 6 7 8 | (mode 2) 5: 0 2 3 5 6 7 11 | (mode 3) 7: 0 1 3 4 5 9 10 | (mode 4) 8: 0 2 3 4 8 9 11 | (mode 5) 10: 0 1 2 6 7 9 10 | mela 40 Navaneetam (mode 6) 11: 0 1 5 6 8 9 11 | (mode 0) 0: 0 1 4 6 7 8 10 11 | (mode 1) 1: 0 3 5 6 7 9 10 11 | (mode 2) 4: 0 2 3 4 6 7 8 9 | (mode 3) 6: 0 1 2 4 5 6 7 10 | (mode 4) 7: 0 1 3 4 5 6 9 11 | (mode 5) 8: 0 2 3 4 5 8 10 11 | (mode 6) 10: 0 1 2 3 6 8 9 10 | (mode 7) 11: 0 1 2 5 7 8 9 11 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 4 5 7 8 10 11 | (mode 1) 4: 0 1 3 4 6 7 8 | (mode 2) 5: 0 2 3 5 6 7 11 | (mode 3) 7: 0 1 3 4 5 9 10 | (mode 4) 8: 0 2 3 4 8 9 11 | (mode 5) 10: 0 1 2 6 7 9 10 | mela 40 Navaneetam (mode 6) 11: 0 1 5 6 8 9 11 | (mode 0) 0: 0 3 4 7 8 10 11 | 03478B & m7 = 03478B & dom.7 (mode 1) 3: 0 1 4 5 7 8 9 | (mode 2) 4: 0 3 4 6 7 8 11 | Mb13b5#9 = mela 69 Dhatuvardani (mode 3) 7: 0 1 3 4 5 8 9 | (mode 4) 8: 0 2 3 4 7 8 11 | (mode 5) 10: 0 1 2 5 6 9 10 | (mode 6) 11: 0 1 4 5 8 9 11 | M13#5b9 (mode 0) 0: 0 1 4 6 7 8 10 11 | (mode 1) 1: 0 3 5 6 7 9 10 11 | (mode 2) 4: 0 2 3 4 6 7 8 9 | (mode 3) 6: 0 1 2 4 5 6 7 10 | (mode 4) 7: 0 1 3 4 5 6 9 11 | (mode 5) 8: 0 2 3 4 5 8 10 11 | (mode 6) 10: 0 1 2 3 6 8 9 10 | (mode 7) 11: 0 1 2 5 7 8 9 11 | (mode 0) 0: 0 2 4 7 8 9 10 11 | (mode 1) 2: 0 2 5 6 7 8 9 10 | (mode 2) 4: 0 3 4 5 6 7 8 10 | (mode 3) 7: 0 1 2 3 4 5 7 9 | (mode 4) 8: 0 1 2 3 4 6 8 11 | (mode 5) 9: 0 1 2 3 5 7 10 11 | (mode 6) 10: 0 1 2 4 6 9 10 11 | (mode 7) 11: 0 1 3 5 8 9 10 11 | (mode 0) 0: 0 1 3 4 6 7 8 10 11 | (mode 1) 1: 0 2 3 5 6 7 9 10 11 | 2367AB & melodic minor (mode 2) 3: 0 1 3 4 5 7 8 9 10 | 014589 & min. pentatonic (mode 3) 4: 0 2 3 4 6 7 8 9 11 | lydian & augmented scale (mode 4) 6: 0 1 2 4 5 6 7 9 10 | 12569A & dom. 7 (mode 5) 7: 0 1 3 4 5 6 8 9 11 | (mode 6) 8: 0 2 3 4 5 7 8 10 11 | aeolean & augmented scale = 03478B & bebop minor (mode 7) 10: 0 1 2 3 5 6 8 9 10 | (mode 8) 11: 0 1 2 4 5 7 8 9 11 | (mode 0) 0: 0 2 3 4 7 8 9 10 11 | (mode 1) 2: 0 1 2 5 6 7 8 9 10 | (mode 2) 3: 0 1 4 5 6 7 8 9 11 | (mode 3) 4: 0 3 4 5 6 7 8 10 11 | (mode 4) 7: 0 1 2 3 4 5 7 8 9 | (mode 5) 8: 0 1 2 3 4 6 7 8 11 | (mode 6) 9: 0 1 2 3 5 6 7 10 11 | (mode 7) 10: 0 1 2 4 5 6 9 10 11 | (mode 8) 11: 0 1 3 4 5 8 9 10 11 | (mode 0) 0: 0 2 4 5 7 8 9 10 11 | (mode 1) 2: 0 2 3 5 6 7 8 9 10 | (mode 2) 4: 0 1 3 4 5 6 7 8 10 | (mode 3) 5: 0 2 3 4 5 6 7 9 11 | lydian & melodic minor (mode 4) 7: 0 1 2 3 4 5 7 9 10 | (mode 5) 8: 0 1 2 3 4 6 8 9 11 | (mode 6) 9: 0 1 2 3 5 7 8 10 11 | phrygian & harmonic minor (mode 7) 10: 0 1 2 4 6 7 9 10 11 | (mode 8) 11: 0 1 3 5 6 8 9 10 11 | (mode 0) 0: 0 1 2 4 6 7 8 9 10 11 | (mode 1) 1: 0 1 3 5 6 7 8 9 10 11 | (mode 2) 2: 0 2 4 5 6 7 8 9 10 11 | whole tone & ionian (mode 3) 4: 0 2 3 4 5 6 7 8 9 10 | (mode 4) 6: 0 1 2 3 4 5 6 7 8 10 | whole tone & phrygian (mode 5) 7: 0 1 2 3 4 5 6 7 9 11 | (mode 6) 8: 0 1 2 3 4 5 6 8 10 11 | (mode 7) 9: 0 1 2 3 4 5 7 9 10 11 | (mode 8) 10: 0 1 2 3 4 6 8 9 10 11 | (mode 9) 11: 0 1 2 3 5 7 8 9 10 11 | phrygian & melodic minor (mode 0) 0: 0 1 2 3 4 6 7 8 9 10 11 | 11-note 5ths stack = most stable 11-note chord type (mode 1) 1: 0 1 2 3 5 6 7 8 9 10 11 | locrian & melodic minor = diminished & phrygian = 12569A & bebop minor (mode 2) 2: 0 1 2 4 5 6 7 8 9 10 11 | Northern lights chord (mode 3) 3: 0 1 3 4 5 6 7 8 9 10 11 | (mode 4) 4: 0 2 3 4 5 6 7 8 9 10 11 | aeolydian scale = whole tone & dorian = diminished scale & mixolydian (mode 5) 6: 0 1 2 3 4 5 6 7 8 9 10 | mixolocrian scale = 1st 11 notes of chromatic scale = aux. diminished scale & aeolean (mode 6) 7: 0 1 2 3 4 5 6 7 8 9 11 | (mode 7) 8: 0 1 2 3 4 5 6 7 8 10 11 | (mode 8) 9: 0 1 2 3 4 5 6 7 9 10 11 | aux. diminished scale & ionian = 12569A & aux. diminished (mode 9) 10: 0 1 2 3 4 5 6 8 9 10 11 | 11-note 4ths stack (mode 10) 11: 0 1 2 3 4 5 7 8 9 10 11 | iophrygian scale = Spanish Gypsy & dorian = the most consonant 11-note chord type Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 4 7 8 10 11 = 0: 0 4 7 8 10 11 = 4: 0 3 4 6 7 8 = 7: 0 1 3 4 5 9 = 8: 0 2 3 4 8 11 = 10: 0 1 2 6 9 10 = 11: 0 1 5 8 9 11 1 4 4 0 3 4 6 7 8 = 0: 0 3 4 6 7 8 = 3: 0 1 3 4 5 9 = 4: 0 2 3 4 8 11 = 6: 0 1 2 6 9 10 = 7: 0 1 5 8 9 11 = 8: 0 4 7 8 10 11 1 8 8 0 2 3 4 8 11 = 0: 0 2 3 4 8 11 = 2: 0 1 2 6 9 10 = 3: 0 1 5 8 9 11 = 4: 0 4 7 8 10 11 = 8: 0 3 4 6 7 8 = 11: 0 1 3 4 5 9 Bright Layer Composition order pcset 1 0 4 7 8 10 11 = 0: 0 4 7 8 10 11 = 4: 0 3 4 6 7 8 = 7: 0 1 3 4 5 9 = 8: 0 2 3 4 8 11 = 10: 0 1 2 6 9 10 = 11: 0 1 5 8 9 11 2 0 2 3 4 5 6 7 8 10 11 = 0: 0 2 3 4 5 6 7 8 10 11 = 2: 0 1 2 3 4 5 6 8 9 10 = 3: 0 1 2 3 4 5 7 8 9 11 = 4: 0 1 2 3 4 6 7 8 10 11 = 5: 0 1 2 3 5 6 7 9 10 11 = 6: 0 1 2 4 5 6 8 9 10 11 = 7: 0 1 3 4 5 7 8 9 10 11 = 8: 0 2 3 4 6 7 8 9 10 11 = 10: 0 1 2 4 5 6 7 8 9 10 = 11: 0 1 3 4 5 6 7 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 4 7 8 10 11 subchroma modal system: 0 0 = 0 = 0: 0 4 = 4 = 4: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 10 = 10 = 10: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 4 = 0 4 = 0: 0 4 4: 0 8 4 7 = 4 7 = 4: 0 3 7: 0 9 7 8 = 7 8 = 7: 0 1 8: 0 11 8 10 = 8 10 = 8: 0 2 10: 0 10 10 11 = 10 11 = 10: 0 1 11: 0 11 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 7 = 0 7 = 7: 0 5 0: 0 7 4 8 = 4 8 = 4: 0 4 8: 0 8 7 10 = 7 10 = 7: 0 3 10: 0 9 8 11 = 8 11 = 8: 0 3 11: 0 9 10 0 = 0 10 = 10: 0 2 0: 0 10 11 4 = 4 11 = 11: 0 5 4: 0 7 subchroma modal system: 0 3 0 8 = 0 8 = 8: 0 4 0: 0 8 4 10 = 4 10 = 4 10: 0 6 7 11 = 7 11 = 7: 0 4 11: 0 8 8 0 = 0 8 = 8: 0 4 0: 0 8 10 4 = 4 10 = 4 10: 0 6 11 7 = 7 11 = 7: 0 4 11: 0 8 subchroma modal system: 0 1 2 0 4 7 = 0 4 7 = 0: 0 4 7 4 7 8 = 4 7 8 = 4: 0 3 4 7 8 10 = 7 8 10 = 7: 0 1 3 8: 0 2 11 8 10 11 = 8 10 11 = 8: 0 2 3 10 11 0 = 0 10 11 = 10: 0 1 2 11: 0 1 11 0: 0 10 11 11 0 4 = 0 4 11 = 0: 0 4 11 4: 0 7 8 subchroma modal system: 0 1 3 0 4 8 = 0 4 8 = 0 4 8: 0 4 8 4 7 10 = 4 7 10 = 4: 0 3 6 7: 0 3 9 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 10 0 = 0 8 10 = 8: 0 2 4 10 11 4 = 4 10 11 = 4: 0 6 7 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 1 4 0 4 10 = 0 4 10 = 0: 0 4 10 4 7 11 = 4 7 11 = 4: 0 3 7 7: 0 4 9 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 10 4 = 4 8 10 = 4: 0 4 6 10 11 7 = 7 10 11 = 7: 0 3 4 11 0 8 = 0 8 11 = 8: 0 3 4 subchroma modal system: 0 2 4 0 7 10 = 0 7 10 = 7: 0 3 5 0: 0 7 10 4 8 11 = 4 8 11 = 4: 0 4 7 7 10 0 = 0 7 10 = 7: 0 3 5 0: 0 7 10 8 11 4 = 4 8 11 = 4: 0 4 7 10 0 7 = 0 7 10 = 7: 0 3 5 0: 0 7 10 11 4 8 = 4 8 11 = 4: 0 4 7 subchroma modal system: 0 1 2 3 0 4 7 8 = 0 4 7 8 = 4: 0 3 4 8 0: 0 4 7 8 8: 0 4 8 11 4 7 8 10 = 4 7 8 10 = 4: 0 3 4 6 7 8 10 11 = 7 8 10 11 = 7: 0 1 3 4 8: 0 2 3 11 8 10 11 0 = 0 8 10 11 = 8: 0 2 3 4 10 11 0 4 = 0 4 10 11 = 0: 0 4 10 11 4: 0 6 7 8 11 0 4 7 = 0 4 7 11 = 4: 0 3 7 8 0: 0 4 7 11 subchroma modal system: 0 1 2 4 0 4 7 10 = 0 4 7 10 = 0: 0 4 7 10 4 7 8 11 = 4 7 8 11 = 4: 0 3 4 7 7: 0 1 4 9 7 8 10 0 = 0 7 8 10 = 7: 0 1 3 5 8: 0 2 4 11 10: 0 2 9 10 0: 0 7 8 10 8 10 11 4 = 4 8 10 11 = 4: 0 4 6 7 10 11 0 7 = 0 7 10 11 = 7: 0 3 4 5 0: 0 7 10 11 11 0 4 8 = 0 4 8 11 = 8: 0 3 4 8 4: 0 4 7 8 0: 0 4 8 11 subchroma modal system: 0 1 3 4 0 4 8 10 = 0 4 8 10 = 0: 0 4 8 10 4 7 10 11 = 4 7 10 11 = 7: 0 3 4 9 4: 0 3 6 7 7 8 11 0 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 8 10 0 4 = 0 4 8 10 = 0: 0 4 8 10 10 11 4 7 = 4 7 10 11 = 7: 0 3 4 9 4: 0 3 6 7 11 0 7 8 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 subchroma modal system: 0 1 2 3 4 0 4 7 8 10 = 0 4 7 8 10 = 8: 0 2 4 8 11 0: 0 4 7 8 10 4 7 8 10 11 = 4 7 8 10 11 = 7: 0 1 3 4 9 4: 0 3 4 6 7 7 8 10 11 0 = 0 7 8 10 11 = 7: 0 1 3 4 5 8: 0 2 3 4 11 10: 0 1 2 9 10 0: 0 7 8 10 11 8 10 11 0 4 = 0 4 8 10 11 = 8: 0 2 3 4 8 4: 0 4 6 7 8 0: 0 4 8 10 11 10 11 0 4 7 = 0 4 7 10 11 = 4: 0 3 6 7 8 0: 0 4 7 10 11 11 0 4 7 8 = 0 4 7 8 11 = 4: 0 3 4 7 8 8: 0 3 4 8 11 0: 0 4 7 8 11 subchroma modal system: 0 1 2 3 4 5 0 4 7 8 10 11 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 4 7 8 10 11 0 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 7 8 10 11 0 4 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 8 10 11 0 4 7 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 10 11 0 4 7 8 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 11 0 4 7 8 10 = 0 4 7 8 10 11 = 8: 0 2 3 4 8 11 4: 0 3 4 6 7 8 0: 0 4 7 8 10 11 Subset Chord Types by Root Set 0 :0 4 10 0 :0 7 10 0 :0 7 11 0 :0 10 11 0 :0 4 7 10 0 :0 4 7 11 0 :0 4 8 10 0 :0 4 10 11 0 :0 7 8 10 0 :0 7 8 11 0 :0 7 10 11 0 :0 4 7 8 10 0 :0 4 7 8 11 0 :0 4 7 10 11 0 :0 4 8 10 11 0 :0 7 8 10 11 0 :0 4 7 8 10 11 0 4 :0 7 0 4 :0 4 7 0 4 :0 7 8 0 4 :0 4 7 8 0 4 7 8 :0 4 0 4 7 8 10 11:0 0 4 8 :0 4 8 0 4 8 11 :0 8 0 8 :0 4 11 0 8 :0 4 8 11 0 8 11 :0 11 0 10 :0 10 4 :0 3 6 4 :0 3 7 4 :0 4 6 4 :0 6 7 4 :0 3 4 6 4 :0 3 4 7 4 :0 3 6 7 4 :0 4 6 7 4 :0 3 7 8 4 :0 6 7 8 4 :0 3 4 6 7 4 :0 3 4 7 8 4 :0 3 6 7 8 4 :0 4 6 7 8 4 :0 3 4 6 7 8 4 7 8 :0 3 4 7 8 :0 3 4 4 8 :0 3 4 8 4 10 :0 6 7 :0 1 3 7 :0 1 4 7 :0 3 5 7 :0 4 5 7 :0 3 9 7 :0 4 9 7 :0 1 3 4 7 :0 1 3 5 7 :0 1 4 5 7 :0 3 4 5 7 :0 1 4 9 7 :0 3 4 9 7 :0 1 3 4 5 7 :0 1 3 4 9 7 10 11 :0 1 7 10 11 :0 9 7 11 :0 5 8 :0 2 3 8 :0 2 4 8 :0 2 11 8 :0 3 11 8 :0 2 3 4 8 :0 2 3 11 8 :0 2 4 11 8 :0 3 4 11 8 :0 2 3 4 8 8 :0 2 3 4 11 8 :0 2 4 8 11 8 :0 3 4 8 11 8 :0 2 3 4 8 11 8 10 :0 2 10 :0 1 2 10 :0 2 9 10 10 :0 1 2 9 10 11 :0 1 11 Superset Chord Types by Root Set 0 :0 4 7 8 10 11 0 :0 1 4 7 8 10 11 0 :0 2 4 7 8 10 11 0 :0 3 4 7 8 10 11 0 :0 4 5 7 8 10 11 0 :0 4 6 7 8 10 11 0 :0 4 7 8 9 10 11 0 :0 1 2 4 7 8 10 11 0 :0 1 3 4 7 8 10 11 0 :0 1 4 5 7 8 10 11 0 :0 1 4 6 7 8 10 11 0 :0 2 4 5 7 8 10 11 0 :0 2 4 6 7 8 10 11 0 :0 3 4 5 7 8 10 11 0 :0 1 4 7 8 9 10 11 0 :0 2 4 7 8 9 10 11 0 :0 3 4 7 8 9 10 11 0 :0 4 5 6 7 8 10 11 0 :0 4 5 7 8 9 10 11 0 :0 4 6 7 8 9 10 11 0 :0 1 2 4 5 7 8 10 11 0 :0 1 2 4 6 7 8 10 11 0 :0 1 3 4 5 7 8 10 11 0 :0 1 3 4 7 8 9 10 11 0 :0 1 2 4 7 8 9 10 11 0 :0 1 4 5 6 7 8 10 11 0 :0 2 4 5 6 7 8 10 11 0 :0 1 4 6 7 8 9 10 11 0 :0 2 4 5 7 8 9 10 11 0 :0 2 4 6 7 8 9 10 11 0 :0 3 4 5 7 8 9 10 11 0 :0 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 5 6 7 8 9 10 11 0 1 2 4 5 8 :0 2 3 4 5 6 7 8 9 10 11 0 1 3 4 7 11 :0 1 3 4 5 6 7 8 9 10 11 0 1 4 :0 3 4 6 7 8 9 10 11 0 1 4 :0 1 3 4 6 7 8 9 10 11 0 1 4 :0 3 4 5 6 7 8 9 10 11 0 1 4 8 :0 2 3 4 6 7 8 9 10 11 0 1 4 8 9 10 :0 1 2 3 4 6 7 8 9 10 11 0 2 :0 2 4 5 6 7 8 9 10 11 0 2 3 6 10 11 :0 1 2 4 5 6 7 8 9 10 11 0 3 7 8 9 11 :0 1 2 3 4 5 7 8 9 10 11 0 3 7 11 :0 1 3 4 5 7 8 9 10 11 0 3 11 :0 1 4 5 7 8 9 10 11 0 3 11 :0 1 2 4 5 7 8 9 10 11 0 3 11 :0 1 4 5 6 7 8 9 10 11 0 4 :0 3 4 6 7 8 10 11 0 4 :0 1 3 4 6 7 8 10 11 0 4 :0 3 4 5 6 7 8 10 11 0 4 :0 1 3 4 5 6 7 8 10 11 0 4 5 6 8 9 :0 1 2 3 4 5 6 7 8 10 11 0 4 5 8 :0 2 3 4 5 6 7 8 10 11 0 4 8 :0 2 3 4 6 7 8 10 11 0 4 8 9 :0 1 2 3 4 6 7 8 10 11 0 6 :0 1 2 4 5 6 7 8 10 11 0 8 :0 2 3 4 7 8 10 11 0 8 :0 2 3 4 5 7 8 10 11 0 8 :0 2 3 4 7 8 9 10 11 0 8 :0 2 3 4 5 7 8 9 10 11 0 8 9 :0 1 2 3 4 7 8 10 11 0 8 9 :0 1 2 3 4 5 7 8 10 11 0 8 9 :0 1 2 3 4 7 8 9 10 11 0 10 :0 1 2 4 6 7 8 9 10 11 1 :0 3 6 7 9 10 11 1 :0 1 3 6 7 9 10 11 1 :0 2 3 6 7 9 10 11 1 :0 3 4 6 7 9 10 11 1 :0 3 5 6 7 9 10 11 1 :0 3 6 7 8 9 10 11 1 :0 1 3 4 6 7 9 10 11 1 :0 2 3 4 6 7 9 10 11 1 :0 1 3 5 6 7 9 10 11 1 :0 3 4 5 6 7 9 10 11 1 :0 1 3 6 7 8 9 10 11 1 :0 2 3 6 7 8 9 10 11 1 :0 3 5 6 7 8 9 10 11 1 2 5 :0 2 3 5 6 7 8 9 10 11 1 2 5 9 10 11 :0 1 2 3 5 6 7 8 9 10 11 1 5 :0 2 3 5 6 7 9 10 11 1 5 :0 2 3 4 5 6 7 9 10 11 1 5 6 7 9 10 :0 1 2 3 4 5 6 7 9 10 11 1 5 9 10 :0 1 2 3 5 6 7 9 10 11 1 7 :0 1 3 4 5 6 7 9 10 11 1 9 10 :0 1 2 3 6 7 9 10 11 1 9 10 :0 1 2 3 4 6 7 9 10 11 1 9 10 :0 1 2 3 6 7 8 9 10 11 1 11 :0 1 3 5 6 7 8 9 10 11 2 :0 2 5 6 7 8 9 10 2 :0 2 3 5 6 7 8 9 10 2 :0 2 3 5 6 8 9 10 11 2 :0 2 4 5 6 7 8 9 10 2 3 4 6 7 10 :0 1 2 3 4 5 6 7 8 9 10 2 3 6 10 :0 1 2 4 5 6 7 8 9 10 2 4 :0 2 3 4 5 6 7 8 9 10 2 6 7 8 10 11 :0 1 2 3 4 5 6 8 9 10 11 2 6 7 10 :0 1 2 3 4 5 6 8 9 10 2 6 10 11 :0 1 2 4 5 6 8 9 10 11 2 8 :0 2 3 4 5 6 8 9 10 11 2 10 :0 1 2 3 5 6 7 8 9 10 2 10 11 :0 1 2 3 5 6 8 9 10 11 2 10 11 :0 1 2 5 6 7 8 9 10 11 3 :0 1 4 5 7 8 9 3 :0 1 2 4 5 7 8 9 3 :0 1 4 5 6 7 8 9 3 :0 1 4 5 7 8 9 10 3 :0 1 2 4 5 6 7 8 9 3 :0 1 2 4 5 7 8 9 10 3 :0 1 4 5 6 7 8 9 10 3 4 5 7 8 11 :0 1 2 3 4 5 6 7 8 9 11 3 4 7 :0 1 2 3 4 5 6 7 8 9 3 4 7 :0 1 3 4 5 6 7 8 9 10 3 4 7 11 :0 1 3 4 5 6 7 8 9 11 3 7 :0 1 3 4 5 7 8 9 3 7 :0 1 2 3 4 5 7 8 9 3 7 :0 1 3 4 5 7 8 9 10 3 7 :0 1 2 3 4 5 7 8 9 10 3 7 8 11 :0 1 2 3 4 5 7 8 9 11 3 7 11 :0 1 3 4 5 7 8 9 11 3 11 :0 1 4 5 7 8 9 11 3 11 :0 1 2 4 5 7 8 9 11 3 11 :0 1 4 5 6 7 8 9 11 3 11 :0 1 2 4 5 6 7 8 9 11 4 :0 3 4 6 7 8 4 :0 1 3 4 6 7 8 4 :0 2 3 4 6 7 8 4 :0 3 4 5 6 7 8 4 :0 3 4 6 7 8 9 4 :0 3 4 6 7 8 10 4 :0 3 4 6 7 8 11 4 :0 1 2 3 4 6 7 8 4 :0 1 3 4 5 6 7 8 4 :0 1 3 4 6 7 8 9 4 :0 2 3 4 6 7 8 9 4 :0 1 3 4 6 7 8 10 4 :0 1 3 4 6 7 8 11 4 :0 2 3 4 6 7 8 10 4 :0 2 3 4 5 6 7 8 4 :0 3 4 5 6 7 8 10 4 :0 3 4 5 6 7 8 11 4 :0 3 4 6 7 8 9 10 4 :0 3 4 6 7 8 9 11 4 :0 1 2 3 4 5 6 7 8 4 :0 1 2 3 4 6 7 8 9 4 :0 1 2 3 4 6 7 8 10 4 :0 2 3 4 5 6 7 8 9 4 :0 1 3 4 5 6 7 8 10 4 :0 1 3 4 5 6 7 8 11 4 :0 2 3 4 5 6 7 8 10 4 :0 1 3 4 6 7 8 9 10 4 :0 1 3 4 6 7 8 9 11 4 :0 2 3 4 6 7 8 9 10 4 :0 3 4 5 6 7 8 9 10 4 :0 3 4 5 6 7 8 9 11 4 5 8 :0 2 3 4 5 6 7 8 11 4 5 8 :0 1 2 3 4 5 6 7 8 11 4 5 8 :0 2 3 4 5 6 7 8 9 11 4 6 :0 1 2 3 4 5 6 7 8 10 4 8 :0 2 3 4 6 7 8 11 4 8 :0 1 2 3 4 6 7 8 11 4 8 :0 2 3 4 6 7 8 9 11 4 8 :0 1 2 3 4 6 7 8 9 11 4 10 :0 1 2 3 4 6 7 8 9 10 5 :0 2 3 5 6 7 11 5 :0 1 2 3 5 6 7 11 5 :0 2 3 4 5 6 7 11 5 :0 2 3 5 6 7 8 11 5 :0 2 3 5 6 7 9 11 5 :0 2 3 5 6 7 10 11 5 :0 1 2 3 4 5 6 7 11 5 :0 1 2 3 5 6 7 8 11 5 :0 1 2 3 5 6 7 9 11 5 :0 2 3 4 5 6 7 9 11 5 :0 2 3 4 5 6 7 10 11 5 :0 2 3 5 6 7 8 9 11 5 :0 2 3 5 6 7 8 10 11 5 6 9 :0 1 2 3 4 5 6 7 10 11 5 7 :0 1 2 3 4 5 6 7 9 11 5 9 :0 1 2 3 5 6 7 10 11 5 9 :0 1 2 3 5 6 7 8 10 11 5 11 :0 1 2 3 5 6 7 8 9 11 6 :0 1 2 3 4 5 6 10 6 :0 1 2 4 5 6 7 10 6 :0 1 2 3 4 5 6 7 10 6 :0 1 2 3 4 5 6 8 10 6 :0 1 2 4 5 6 7 8 10 6 :0 1 2 4 5 6 7 10 11 6 7 10 :0 1 2 3 4 5 6 9 10 6 7 10 :0 1 2 3 4 5 6 7 9 10 6 7 10 :0 1 2 3 4 5 6 9 10 11 6 8 :0 1 2 3 4 5 6 8 10 11 6 10 :0 1 2 4 5 6 7 9 10 6 10 :0 1 2 4 5 6 7 9 10 11 7 :0 1 3 4 5 7 9 7 :0 1 2 3 4 5 7 9 7 :0 1 3 4 5 6 7 9 7 :0 1 3 4 5 6 9 10 7 :0 1 3 4 5 7 9 10 7 :0 1 3 4 5 7 9 11 7 :0 1 3 4 5 9 10 11 7 :0 1 2 3 4 5 6 7 9 7 :0 1 2 3 4 5 7 9 10 7 :0 1 2 3 4 5 7 9 11 7 :0 1 3 4 5 6 7 9 10 7 :0 1 3 4 5 6 7 9 11 7 :0 1 3 4 5 7 9 10 11 7 8 11 :0 1 2 3 4 5 6 8 9 11 7 8 11 :0 1 2 3 4 5 8 9 10 11 7 9 :0 1 2 3 4 5 7 9 10 11 7 11 :0 1 3 4 5 6 8 9 10 11 8 :0 2 3 4 8 11 8 :0 1 2 3 4 8 11 8 :0 2 3 4 7 8 11 8 :0 2 3 4 8 9 11 8 :0 2 3 4 8 10 11 8 :0 1 2 3 4 7 8 11 8 :0 1 2 3 4 8 10 11 8 :0 2 3 4 5 7 8 11 8 :0 2 3 4 7 8 9 11 8 :0 2 3 4 8 9 10 11 8 :0 1 2 3 4 5 7 8 11 8 :0 1 2 3 4 6 8 10 11 8 :0 1 2 3 4 7 8 9 11 8 :0 2 3 4 5 7 8 9 11 8 10 :0 1 2 3 4 6 8 9 10 11 9 :0 1 2 3 7 10 11 9 :0 1 2 3 4 7 10 11 9 :0 1 2 3 5 7 10 11 9 :0 1 2 3 6 7 10 11 9 :0 1 2 3 7 8 10 11 9 :0 1 2 3 7 9 10 11 9 :0 1 2 3 4 5 7 10 11 9 :0 1 2 3 4 6 7 10 11 9 :0 1 2 3 4 7 9 10 11 9 :0 1 2 3 5 7 8 10 11 9 :0 1 2 3 5 7 9 10 11 9 :0 1 2 3 6 7 8 10 11 9 :0 1 2 3 7 8 9 10 11 9 11 :0 1 2 3 5 7 8 9 10 11 10 :0 1 2 3 6 9 10 10 :0 1 2 6 7 9 10 10 :0 1 2 3 6 7 9 10 10 :0 1 2 4 6 7 9 10 10 :0 1 2 6 7 9 10 11 10 :0 1 2 6 7 8 9 10 10 :0 1 2 3 4 6 7 9 10 10 :0 1 2 3 5 6 7 9 10 10 :0 1 2 3 6 7 8 9 10 10 :0 1 2 4 6 7 8 9 10 10 :0 1 2 4 6 7 9 10 11 10 :0 1 2 6 7 8 9 10 11 11 :0 1 3 5 8 9 11 11 :0 1 4 5 8 9 11 11 :0 1 5 7 8 9 11 11 :0 1 3 5 7 8 9 11 11 :0 1 5 7 8 9 10 11 11 :0 1 2 3 5 6 8 9 11 11 :0 1 2 3 5 7 8 9 11 11 :0 1 2 5 7 8 9 10 11 11 :0 1 3 5 6 7 8 9 11 11 :0 1 3 5 7 8 9 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 4 7 8 10 11 = 0: 0 4 7 8 10 11 = 4: 0 3 4 6 7 8 = 7: 0 1 3 4 5 9 = 8: 0 2 3 4 8 11 = 10: 0 1 2 6 9 10 = 11: 0 1 5 8 9 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 7 10 11 = 7: 0 3 4 = 10: 0 1 9 = 11: 0 8 11 0 2 = maj. 2nd, dim., maj. 9th | 8 10 = 8: 0 2 = 10: 0 10 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 4 7 8 = 4: 0 3 4 = 7: 0 1 9 = 8: 0 8 11 0 4 = maj. 3rd, maj. 10th, dim. 4th | 0 4 7 8 = 0: 0 4 7 8 = 4: 0 3 4 8 = 7: 0 1 5 9 = 8: 0 4 8 11 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 7 11 = 7: 0 4 = 11: 0 8 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 4 10 = 4: 0 6 = 10: 0 6 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 4 = 0: 0 4 = 4: 0 8 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 4 8 11 = 0: 0 4 8 11 = 4: 0 4 7 8 = 8: 0 3 4 8 = 11: 0 1 5 9 0 9 = maj. 6th, maj. 13th, dim. 7th | 7 10 11 = 7: 0 3 4 = 10: 0 1 9 = 11: 0 8 11 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 10 = 0: 0 10 = 10: 0 2 0 11 = maj. 7th, maj. 14th | 0 8 11 = 0: 0 8 11 = 8: 0 3 4 = 11: 0 1 9 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 10 = 10: 0 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 7 = 7: 0 0 1 4 | 7 = 7: 0 0 2 3 = min. trichord | 8 = 8: 0 0 2 4 = maj. trichord | 8 = 8: 0 0 3 4 | 4 7 8 = 4: 0 3 4 = 7: 0 1 9 = 8: 0 8 11 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 11 = 11: 0 0 2 11 | 8 = 8: 0 Scale Degrees: 134 0 3 5 | 7 = 7: 0 0 4 5 | 7 = 7: 0 Triads (Scale Degrees: 135) 0 3 6 = dim. | 4 = 4: 0 0 3 7 = m = minor | 4 = 4: 0 0 4 6 = Mb5 | 4 = 4: 0 0 4 7 = M = major | 0 4 = 0: 0 4 = 4: 0 8 0 4 8 = + = augmented | 0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 7 = 7: 0 0 4 9 = M6 no 5th | 7 = 7: 0 7th chords no 5th (Scale Degrees: 137) 0 3 11 = mM7 no 5th | 8 = 8: 0 0 4 10 = 7 no 5th | 0 = 0: 0 0 4 11 = M7 no 5th | 0 8 = 0: 0 8 = 8: 0 4 Sus4 Triads (Scale Degrees: 145) 0 6 7 = sus#4, Viennese trichord | 4 = 4: 0 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 0 4 = 0: 0 4 = 4: 0 8 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 0 = 0: 0 0 7 11 = M power chord | 0 = 0: 0 Scale Degrees: 167 0 10 11 | 0 = 0: 0 chromatic tetrachord (Scale Degrees: 1223) 0 1 3 4 = 1st 4 aux dim. | 7 = 7: 0 0 2 3 4 |

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

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

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

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

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	7 10 11 = 7: 0 3 4 = 10: 0 1 9 = 11: 0 8 11
0 2 = maj. 2nd, dim., maj. 9th	\|	8 10 = 8: 0 2 = 10: 0 10

3rds / 10ths (Scale Degrees: 13)
0 3 = aug. 2nd, min. 3rd, aug. 9th	\|	4 7 8 = 4: 0 3 4 = 7: 0 1 9 = 8: 0 8 11
0 4 = maj. 3rd, maj. 10th, dim. 4th	\|	0 4 7 8 = 0: 0 4 7 8 = 4: 0 3 4 8 = 7: 0 1 5 9 = 8: 0 4 8 11

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	7 11 = 7: 0 4 = 11: 0 8
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	4 10 = 4: 0 6 = 10: 0 6

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	0 4 = 0: 0 4 = 4: 0 8

6ths / 13ths (Scale Degrees: 16)
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th	\|	0 4 8 11 = 0: 0 4 8 11 = 4: 0 4 7 8 = 8: 0 3 4 8 = 11: 0 1 5 9
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	7 10 11 = 7: 0 3 4 = 10: 0 1 9 = 11: 0 8 11

7ths / 14ths (Scale Degrees: 17)
0 10 = aug. 6th, min. 7th, aug. 13th	\|	0 10 = 0: 0 10 = 10: 0 2
0 11 = maj. 7th, maj. 14th	\|	0 8 11 = 0: 0 8 11 = 8: 0 3 4 = 11: 0 1 9

chromatic trichord (Scale Degrees: 122)
0 1 2 = 1st 3 chromatics	\|	10 = 10: 0

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	7 = 7: 0
0 1 4	\|	7 = 7: 0
0 2 3 = min. trichord	\|	8 = 8: 0
0 2 4 = maj. trichord	\|	8 = 8: 0
0 3 4	\|	4 7 8 = 4: 0 3 4 = 7: 0 1 9 = 8: 0 8 11

Root with upper and lower neighbors (Scale Degrees: 127)
0 1 11 = root & chr. neighbors	\|	11 = 11: 0
0 2 11	\|	8 = 8: 0

Scale Degrees: 134
0 3 5	\|	7 = 7: 0
0 4 5	\|	7 = 7: 0

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	4 = 4: 0
0 3 7 = m = minor	\|	4 = 4: 0
0 4 6 = Mb5	\|	4 = 4: 0
0 4 7 = M = major	\|	0 4 = 0: 0 4 = 4: 0 8
0 4 8 = + = augmented	\|	0 4 8 = 0: 0 4 8 = 4: 0 4 8 = 8: 0 4 8

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	7 = 7: 0
0 4 9 = M6 no 5th	\|	7 = 7: 0

7th chords no 5th (Scale Degrees: 137)
0 3 11 = mM7 no 5th	\|	8 = 8: 0
0 4 10 = 7 no 5th	\|	0 = 0: 0
0 4 11 = M7 no 5th	\|	0 8 = 0: 0 8 = 8: 0 4

Sus4 Triads (Scale Degrees: 145)
0 6 7 = sus#4, Viennese trichord	\|	4 = 4: 0

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	0 4 = 0: 0 4 = 4: 0 8

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	0 = 0: 0
0 7 11 = M power chord	\|	0 = 0: 0

Scale Degrees: 167
0 10 11	\|	0 = 0: 0

chromatic tetrachord (Scale Degrees: 1223)
0 1 3 4 = 1st 4 aux dim.	\|	7 = 7: 0
0 2 3 4	\|