Chord Type: 0 1 3 4 7 9

0 1 3 4 7 9

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Chord Type: 0 1 3 4 7 9

Chord Type Fun Facts 0 1 3 4 7 9 Subset of Diminished Scale (0 1 3 4 6 7 9 10) Modal System Fun Facts 0 1 3 4 7 9 Subset of Diminished Scale Inversionally Symmetrical General Statistics Cardinality: 6 Jordan Number: 6-26 Forte Number: 6-z49 Forte Prime Form: [0,1,3,4,7,9] Zeitler Scale Name: Rodimic Ian Ring's Scale Page 667 Root Reference: 0 1 3 4 7 9 Tone Stacking: 0 1 2 1 3 2 Interval Stacking: 1 2 1 3 2 3 Binary: 1 1 0 1 1 0 0 1 0 1 0 0 Decimal Value: 667 Interval Vector: 2 2 4 3 2 2 Inversional Symmetry: yes (axes of symmetry: 2 8) Transpositional Symmetry: no Melodic Adjacency (0-1): 0.400 Harmonic Adjacency (0-1): 0.400 Modal-system-invariant under multiplication by: 1 5 7 11 Modal System Balanced: no Diachromatic Family: Scale Degrees: 122356 0 1 2 3 7 8 0 1 2 3 7 9 0 1 2 4 7 8 = all-tri hex 0 1 2 4 7 9 0 1 2 4 8 9 0 1 3 4 7 8 ->0 1 3 4 7 9 0 2 3 4 6 9 0 2 3 4 7 8 0 2 3 4 7 9 = maj. blues All Transpositions of Chord Type: +0= 0 1 3 4 7 9 | +1= 1 2 4 5 8 10 | +2= 2 3 5 6 9 11 | +3= 0 3 4 6 7 10 |7#9#11 +4= 1 4 5 7 8 11 | +5= 0 2 5 6 8 9 | +6= 1 3 6 7 9 10 | +7= 2 4 7 8 10 11 | +8= 0 3 5 8 9 11 | +9= 0 1 4 6 9 10 | +10= 1 2 5 7 10 11 | +11= 0 2 3 6 8 11 | Modes of Chord Type: (mode 0) 0: 0 1 3 4 7 9 | (mode 1) 1: 0 2 3 6 8 11 | (mode 2) 3: 0 1 4 6 9 10 | (mode 3) 4: 0 3 5 8 9 11 | (mode 4) 7: 0 2 5 6 8 9 | (mode 5) 9: 0 3 4 6 7 10 | 7#9#11 Modes of Chord Type Sorted by Rootedness: 1.783(mode 0)0:0 1 3 4 7 9 | 1.692(mode 5)9:0 3 4 6 7 10 |7#9#11 1.008(mode 2)3:0 1 4 6 9 10 | .425(mode 1)1:0 2 3 6 8 11 | .150(mode 3)4:0 3 5 8 9 11 | -.258(mode 4)7:0 2 5 6 8 9 | Inversion at 0: 0 3 5 8 9 11 (mode 0) 0: 0 3 5 8 9 11 | (mode 1) 3: 0 2 5 6 8 9 | (mode 2) 5: 0 3 4 6 7 10 | 7#9#11 (mode 3) 8: 0 1 3 4 7 9 | (mode 4) 9: 0 2 3 6 8 11 | (mode 5) 11: 0 1 4 6 9 10 | Times 7: 0 1 3 4 7 9 (mode 0) 0: 0 1 3 4 7 9 | (mode 1) 1: 0 2 3 6 8 11 | (mode 2) 3: 0 1 4 6 9 10 | (mode 3) 4: 0 3 5 8 9 11 | (mode 4) 7: 0 2 5 6 8 9 | (mode 5) 9: 0 3 4 6 7 10 | 7#9#11 Times 5: 0 3 5 8 9 11 (mode 0) 0: 0 3 5 8 9 11 | (mode 1) 3: 0 2 5 6 8 9 | (mode 2) 5: 0 3 4 6 7 10 | 7#9#11 (mode 3) 8: 0 1 3 4 7 9 | (mode 4) 9: 0 2 3 6 8 11 | (mode 5) 11: 0 1 4 6 9 10 | Modal System: 0 1 3 4 7 9 from root(s) 0 | "7#9#11 modal system" Modes of Modal System: (mode 0) 0: 0 1 3 4 7 9 | (mode 1) 1: 0 2 3 6 8 11 | (mode 2) 3: 0 1 4 6 9 10 | (mode 3) 4: 0 3 5 8 9 11 | (mode 4) 7: 0 2 5 6 8 9 | (mode 5) 9: 0 3 4 6 7 10 | 7#9#11 Complement: 2 5 6 8 10 11 (mode 0) 2: 0 3 4 6 8 9 | (mode 1) 5: 0 1 3 5 6 9 | (mode 2) 6: 0 2 4 5 8 11 | (mode 3) 8: 0 2 3 6 9 10 | (mode 4) 10: 0 1 4 7 8 10 | 7b13b9 no 11th (mode 5) 11: 0 3 6 7 9 11 | mM13#11 no 9th All but the root (subchroma complement of 0): 1 3 4 7 9 (mode 0) 1: 0 2 3 6 8 | (mode 1) 3: 0 1 4 6 10 | 7b5b9 (mode 2) 4: 0 3 5 9 11 | (mode 3) 7: 0 2 6 8 9 | (mode 4) 9: 0 4 6 7 10 | 7#11 no 9th 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: 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 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya chromaticized keep 0: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya (mode 0) 0: 0 1 3 4 7 9 10 11 | (mode 1) 1: 0 2 3 6 8 9 10 11 | (mode 2) 3: 0 1 4 6 7 8 9 10 | (mode 3) 4: 0 3 5 6 7 8 9 11 | (mode 4) 7: 0 2 3 4 5 6 8 9 | (mode 5) 9: 0 1 2 3 4 6 7 10 | (mode 6) 10: 0 1 2 3 5 6 9 11 | (mode 7) 11: 0 1 2 4 5 8 10 11 | chromaticized keep 0 7: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya (mode 0) 0: 0 1 3 4 7 9 10 11 | (mode 1) 1: 0 2 3 6 8 9 10 11 | (mode 2) 3: 0 1 4 6 7 8 9 10 | (mode 3) 4: 0 3 5 6 7 8 9 11 | (mode 4) 7: 0 2 3 4 5 6 8 9 | (mode 5) 9: 0 1 2 3 4 6 7 10 | (mode 6) 10: 0 1 2 3 5 6 9 11 | (mode 7) 11: 0 1 2 4 5 8 10 11 | (mode 0) 0: 0 1 3 4 5 6 7 9 | (mode 1) 1: 0 2 3 4 5 6 8 11 | (mode 2) 3: 0 1 2 3 4 6 9 10 | (mode 3) 4: 0 1 2 3 5 8 9 11 | (mode 4) 5: 0 1 2 4 7 8 10 11 | (mode 5) 6: 0 1 3 6 7 9 10 11 | (mode 6) 7: 0 2 5 6 8 9 10 11 | (mode 7) 9: 0 3 4 6 7 8 9 10 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya (mode 0) 0: 0 1 3 4 7 9 10 11 | (mode 1) 1: 0 2 3 6 8 9 10 11 | (mode 2) 3: 0 1 4 6 7 8 9 10 | (mode 3) 4: 0 3 5 6 7 8 9 11 | (mode 4) 7: 0 2 3 4 5 6 8 9 | (mode 5) 9: 0 1 2 3 4 6 7 10 | (mode 6) 10: 0 1 2 3 5 6 9 11 | (mode 7) 11: 0 1 2 4 5 8 10 11 | (mode 0) 0: 0 1 3 4 5 6 7 9 | (mode 1) 1: 0 2 3 4 5 6 8 11 | (mode 2) 3: 0 1 2 3 4 6 9 10 | (mode 3) 4: 0 1 2 3 5 8 9 11 | (mode 4) 5: 0 1 2 4 7 8 10 11 | (mode 5) 6: 0 1 3 6 7 9 10 11 | (mode 6) 7: 0 2 5 6 8 9 10 11 | (mode 7) 9: 0 3 4 6 7 8 9 10 | (mode 0) 0: 0 1 3 4 7 8 9 10 11 | (mode 1) 1: 0 2 3 6 7 8 9 10 11 | (mode 2) 3: 0 1 4 5 6 7 8 9 10 | (mode 3) 4: 0 3 4 5 6 7 8 9 11 | (mode 4) 7: 0 1 2 3 4 5 6 8 9 | (mode 5) 8: 0 1 2 3 4 5 7 8 11 | (mode 6) 9: 0 1 2 3 4 6 7 10 11 | (mode 7) 10: 0 1 2 3 5 6 9 10 11 | (mode 8) 11: 0 1 2 4 5 8 9 10 11 | (mode 0) 0: 0 1 3 4 5 6 7 9 10 11 | (mode 1) 1: 0 2 3 4 5 6 8 9 10 11 | (mode 2) 3: 0 1 2 3 4 6 7 8 9 10 | (mode 3) 4: 0 1 2 3 5 6 7 8 9 11 | (mode 4) 5: 0 1 2 4 5 6 7 8 10 11 | (mode 5) 6: 0 1 3 4 5 6 7 9 10 11 | (mode 6) 7: 0 2 3 4 5 6 8 9 10 11 | (mode 7) 9: 0 1 2 3 4 6 7 8 9 10 | (mode 8) 10: 0 1 2 3 5 6 7 8 9 11 | (mode 9) 11: 0 1 2 4 5 6 7 8 10 11 | alt-chromaticized: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya alt-chromaticized keep 0: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya (mode 0) 0: 0 1 3 4 5 7 9 10 | (mode 1) 1: 0 2 3 4 6 8 9 11 | (mode 2) 3: 0 1 2 4 6 7 9 10 | (mode 3) 4: 0 1 3 5 6 8 9 11 | (mode 4) 5: 0 2 4 5 7 8 10 11 | mela 26 Charukesi (mode 5) 7: 0 2 3 5 6 8 9 10 | (mode 6) 9: 0 1 3 4 6 7 8 10 | (mode 7) 10: 0 2 3 5 6 7 9 11 | (mode 0) 0: 0 1 3 4 6 7 9 11 | (mode 1) 1: 0 2 3 5 6 8 10 11 | (mode 2) 3: 0 1 3 4 6 8 9 10 | (mode 3) 4: 0 2 3 5 7 8 9 11 | Bebop melodic minor = harmonic & melodic minor (mode 4) 6: 0 1 3 5 6 7 9 10 | (mode 5) 7: 0 2 4 5 6 8 9 11 | (mode 6) 9: 0 2 3 4 6 7 9 10 | (mode 7) 11: 0 1 2 4 5 7 8 10 | alt-chromaticized keep 0 7: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya (mode 0) 0: 0 1 3 4 5 7 9 10 | (mode 1) 1: 0 2 3 4 6 8 9 11 | (mode 2) 3: 0 1 2 4 6 7 9 10 | (mode 3) 4: 0 1 3 5 6 8 9 11 | (mode 4) 5: 0 2 4 5 7 8 10 11 | mela 26 Charukesi (mode 5) 7: 0 2 3 5 6 8 9 10 | (mode 6) 9: 0 1 3 4 6 7 8 10 | (mode 7) 10: 0 2 3 5 6 7 9 11 | (mode 0) 0: 0 1 3 4 6 7 9 11 | (mode 1) 1: 0 2 3 5 6 8 10 11 | (mode 2) 3: 0 1 3 4 6 8 9 10 | (mode 3) 4: 0 2 3 5 7 8 9 11 | Bebop melodic minor = harmonic & melodic minor (mode 4) 6: 0 1 3 5 6 7 9 10 | (mode 5) 7: 0 2 4 5 6 8 9 11 | (mode 6) 9: 0 2 3 4 6 7 9 10 | (mode 7) 11: 0 1 2 4 5 7 8 10 | alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 3 4 7 8 9 | (mode 1) 1: 0 2 3 6 7 8 11 | mMb13#11 = hungarian/gypsy minor = Hungarian minor II = mela 57 Simhendramadhyamam = Egyptian scale = niaventi (mode 2) 3: 0 1 4 5 6 9 10 | 13b5b9 = oriental = tsinganikos = Persian = tsinganikos (mode 3) 4: 0 3 4 5 8 9 11 | M13#5#9 = ionian #2 #5 (mode 4) 7: 0 1 2 5 6 8 9 | (mode 5) 8: 0 1 4 5 7 8 11 | M#13b9 = double harmonic major = Hijaz kar = hijazkiar = mela 15 Mayamalavagowla = bhairav that (mode 6) 9: 0 3 4 6 7 10 11 | M#11#5#9 = lydian #2 #6 = mela 72 Rasikapriya (mode 0) 0: 0 1 3 4 5 7 9 10 | (mode 1) 1: 0 2 3 4 6 8 9 11 | (mode 2) 3: 0 1 2 4 6 7 9 10 | (mode 3) 4: 0 1 3 5 6 8 9 11 | (mode 4) 5: 0 2 4 5 7 8 10 11 | mela 26 Charukesi (mode 5) 7: 0 2 3 5 6 8 9 10 | (mode 6) 9: 0 1 3 4 6 7 8 10 | (mode 7) 10: 0 2 3 5 6 7 9 11 | (mode 0) 0: 0 1 3 4 6 7 9 11 | (mode 1) 1: 0 2 3 5 6 8 10 11 | (mode 2) 3: 0 1 3 4 6 8 9 10 | (mode 3) 4: 0 2 3 5 7 8 9 11 | Bebop melodic minor = harmonic & melodic minor (mode 4) 6: 0 1 3 5 6 7 9 10 | (mode 5) 7: 0 2 4 5 6 8 9 11 | (mode 6) 9: 0 2 3 4 6 7 9 10 | (mode 7) 11: 0 1 2 4 5 7 8 10 | (mode 0) 0: 0 1 3 4 5 7 8 9 10 | 014589 & min. pentatonic (mode 1) 1: 0 2 3 4 6 7 8 9 11 | lydian & augmented scale (mode 2) 3: 0 1 2 4 5 6 7 9 10 | 12569A & dom. 7 (mode 3) 4: 0 1 3 4 5 6 8 9 11 | (mode 4) 5: 0 2 3 4 5 7 8 10 11 | aeolean & augmented scale = 03478B & bebop minor (mode 5) 7: 0 1 2 3 5 6 8 9 10 | (mode 6) 8: 0 1 2 4 5 7 8 9 11 | (mode 7) 9: 0 1 3 4 6 7 8 10 11 | (mode 8) 10: 0 2 3 5 6 7 9 10 11 | 2367AB & melodic minor (mode 0) 0: 0 1 3 4 6 7 8 9 11 | (mode 1) 1: 0 2 3 5 6 7 8 10 11 | 2367AB & bebop minor (mode 2) 3: 0 1 3 4 5 6 8 9 10 | (mode 3) 4: 0 2 3 4 5 7 8 9 11 | ionian & harmonic minor = ionian & augmented scale = melodic minor & augmented scale (mode 4) 6: 0 1 2 3 5 6 7 9 10 | 12569A & m7 = 12569A & min. pentatonic (mode 5) 7: 0 1 2 4 5 6 8 9 11 | (mode 6) 8: 0 1 3 4 5 7 8 10 11 | phrygian & augmented scale (mode 7) 9: 0 2 3 4 6 7 9 10 11 | (mode 8) 11: 0 1 2 4 5 7 8 9 10 | (mode 0) 0: 0 1 3 4 5 6 7 9 10 11 | (mode 1) 1: 0 2 3 4 5 6 8 9 10 11 | (mode 2) 3: 0 1 2 3 4 6 7 8 9 10 | (mode 3) 4: 0 1 2 3 5 6 7 8 9 11 | (mode 4) 5: 0 1 2 4 5 6 7 8 10 11 | (mode 5) 6: 0 1 3 4 5 6 7 9 10 11 | (mode 6) 7: 0 2 3 4 5 6 8 9 10 11 | (mode 7) 9: 0 1 2 3 4 6 7 8 9 10 | (mode 8) 10: 0 1 2 3 5 6 7 8 9 11 | (mode 9) 11: 0 1 2 4 5 6 7 8 10 11 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 = 1: 0 2 3 6 8 11 = 3: 0 1 4 6 9 10 = 4: 0 3 5 8 9 11 = 7: 0 2 5 6 8 9 = 9: 0 3 4 6 7 10 1 9 9 0 3 4 6 7 10 = 0: 0 3 4 6 7 10 = 3: 0 1 3 4 7 9 = 4: 0 2 3 6 8 11 = 6: 0 1 4 6 9 10 = 7: 0 3 5 8 9 11 = 10: 0 2 5 6 8 9 Bright Layer Composition order pcset 1 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 = 1: 0 2 3 6 8 11 = 3: 0 1 4 6 9 10 = 4: 0 3 5 8 9 11 = 7: 0 2 5 6 8 9 = 9: 0 3 4 6 7 10 2 0 1 2 3 4 7 8 9 10 11 = 0: 0 1 2 3 4 7 8 9 10 11 = 1: 0 1 2 3 6 7 8 9 10 11 = 2: 0 1 2 5 6 7 8 9 10 11 = 3: 0 1 4 5 6 7 8 9 10 11 = 4: 0 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 = 8: 0 1 2 3 4 5 6 7 8 11 = 9: 0 1 2 3 4 5 6 7 10 11 = 10: 0 1 2 3 4 5 6 9 10 11 = 11: 0 1 2 3 4 5 8 9 10 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 1 3 4 7 9 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 3 = 3 = 3: 0 4 = 4 = 4: 0 7 = 7 = 7: 0 9 = 9 = 9: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 3 = 1 3 = 1: 0 2 3: 0 10 3 4 = 3 4 = 3: 0 1 4: 0 11 4 7 = 4 7 = 4: 0 3 7: 0 9 7 9 = 7 9 = 7: 0 2 9: 0 10 9 0 = 0 9 = 9: 0 3 0: 0 9 subchroma modal system: 0 2 0 3 = 0 3 = 0: 0 3 3: 0 9 1 4 = 1 4 = 1: 0 3 4: 0 9 3 7 = 3 7 = 3: 0 4 7: 0 8 4 9 = 4 9 = 4: 0 5 9: 0 7 7 0 = 0 7 = 7: 0 5 0: 0 7 9 1 = 1 9 = 9: 0 4 1: 0 8 subchroma modal system: 0 3 0 4 = 0 4 = 0: 0 4 4: 0 8 1 7 = 1 7 = 1 7: 0 6 3 9 = 3 9 = 3 9: 0 6 4 0 = 0 4 = 0: 0 4 4: 0 8 7 1 = 1 7 = 1 7: 0 6 9 3 = 3 9 = 3 9: 0 6 subchroma modal system: 0 1 2 0 1 3 = 0 1 3 = 0: 0 1 3 1: 0 2 11 1 3 4 = 1 3 4 = 1: 0 2 3 3 4 7 = 3 4 7 = 3: 0 1 4 4: 0 3 11 4 7 9 = 4 7 9 = 4: 0 3 5 9: 0 7 10 7 9 0 = 0 7 9 = 9: 0 3 10 0: 0 7 9 9 0 1 = 0 1 9 = 9: 0 3 4 subchroma modal system: 0 1 3 0 1 4 = 0 1 4 = 0: 0 1 4 1: 0 3 11 1 3 7 = 1 3 7 = 3: 0 4 10 3 4 9 = 3 4 9 = 9: 0 6 7 4 7 0 = 0 4 7 = 0: 0 4 7 7 9 1 = 1 7 9 = 9: 0 4 10 9 0 3 = 0 3 9 = 9: 0 3 6 0: 0 3 9 subchroma modal system: 0 1 4 0 1 7 = 0 1 7 = 0: 0 1 7 1 3 9 = 1 3 9 = 9: 0 4 6 3 4 0 = 0 3 4 = 0: 0 3 4 4 7 1 = 1 4 7 = 1: 0 3 6 4: 0 3 9 7 9 3 = 3 7 9 = 3: 0 4 6 9 0 4 = 0 4 9 = 9: 0 3 7 0: 0 4 9 subchroma modal system: 0 2 4 0 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 1 4 9 = 1 4 9 = 9: 0 4 7 3 7 0 = 0 3 7 = 0: 0 3 7 3: 0 4 9 4 9 1 = 1 4 9 = 9: 0 4 7 7 0 3 = 0 3 7 = 0: 0 3 7 3: 0 4 9 9 1 4 = 1 4 9 = 9: 0 4 7 subchroma modal system: 0 1 2 3 0 1 3 4 = 0 1 3 4 = 0: 0 1 3 4 1: 0 2 3 11 1 3 4 7 = 1 3 4 7 = 1: 0 2 3 6 3: 0 1 4 10 4: 0 3 9 11 3 4 7 9 = 3 4 7 9 = 4: 0 3 5 11 9: 0 6 7 10 4 7 9 0 = 0 4 7 9 = 0: 0 4 7 9 9: 0 3 7 10 7 9 0 1 = 0 1 7 9 = 9: 0 3 4 10 0: 0 1 7 9 9 0 1 3 = 0 1 3 9 = 9: 0 3 4 6 subchroma modal system: 0 1 2 4 0 1 3 7 = 0 1 3 7 = 0: 0 1 3 7 3: 0 4 9 10 1 3 4 9 = 1 3 4 9 = 9: 0 4 6 7 3 4 7 0 = 0 3 4 7 = 0: 0 3 4 7 3: 0 1 4 9 4 7 9 1 = 1 4 7 9 = 9: 0 4 7 10 7 9 0 3 = 0 3 7 9 = 0: 0 3 7 9 9: 0 3 6 10 9 0 1 4 = 0 1 4 9 = 9: 0 3 4 7 0: 0 1 4 9 subchroma modal system: 0 1 3 4 0 1 4 7 = 0 1 4 7 = 0: 0 1 4 7 1: 0 3 6 11 1 3 7 9 = 1 3 7 9 = 3 9: 0 4 6 10 3 4 9 0 = 0 3 4 9 = 0: 0 3 4 9 9: 0 3 6 7 4 7 0 1 = 0 1 4 7 = 0: 0 1 4 7 1: 0 3 6 11 7 9 1 3 = 1 3 7 9 = 3 9: 0 4 6 10 9 0 3 4 = 0 3 4 9 = 0: 0 3 4 9 9: 0 3 6 7 subchroma modal system: 0 1 2 3 4 0 1 3 4 7 = 0 1 3 4 7 = 0: 0 1 3 4 7 1: 0 2 3 6 11 3: 0 1 4 9 10 1 3 4 7 9 = 1 3 4 7 9 = 3: 0 1 4 6 10 9: 0 4 6 7 10 3 4 7 9 0 = 0 3 4 7 9 = 0: 0 3 4 7 9 9: 0 3 6 7 10 4 7 9 0 1 = 0 1 4 7 9 = 0: 0 1 4 7 9 9: 0 3 4 7 10 7 9 0 1 3 = 0 1 3 7 9 = 0: 0 1 3 7 9 9: 0 3 4 6 10 9 0 1 3 4 = 0 1 3 4 9 = 0: 0 1 3 4 9 9: 0 3 4 6 7 subchroma modal system: 0 1 2 3 4 5 0 1 3 4 7 9 = 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 9: 0 3 4 6 7 10 1 3 4 7 9 0 = 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 9: 0 3 4 6 7 10 3 4 7 9 0 1 = 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 9: 0 3 4 6 7 10 4 7 9 0 1 3 = 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 9: 0 3 4 6 7 10 7 9 0 1 3 4 = 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 9: 0 3 4 6 7 10 9 0 1 3 4 7 = 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 9: 0 3 4 6 7 10 Subset Chord Types by Root Set 0 :0 1 3 0 :0 1 7 0 :0 7 9 0 :0 1 3 4 0 :0 1 3 7 0 :0 1 4 7 0 :0 3 4 9 0 :0 1 7 9 0 :0 3 7 9 0 :0 4 7 9 0 :0 1 3 4 7 0 :0 1 3 4 9 0 :0 1 3 7 9 0 :0 1 4 7 9 0 :0 3 4 7 9 0 :0 1 3 4 7 9 0 1 3 4 7 9:0 0 1 4 9 :0 3 0 3 :0 1 0 3 :0 1 4 0 3 :0 4 9 0 3 :0 1 4 9 0 3 4 7 :0 9 0 3 9 :0 4 0 4 :0 3 9 0 9 :0 7 0 9 :0 3 4 0 9 :0 3 7 0 9 :0 4 7 0 9 :0 3 4 7 1 :0 2 3 1 :0 2 11 1 :0 2 3 6 1 :0 2 3 11 1 :0 3 6 11 1 :0 2 3 6 11 1 3 7 9 :0 6 1 4 :0 11 1 4 :0 3 11 1 4 7 :0 8 1 7 :0 2 1 9 :0 3 6 3 :0 1 4 10 3 :0 4 9 10 3 :0 1 4 6 10 3 :0 1 4 9 10 3 9 :0 10 3 9 :0 4 6 3 9 :0 4 10 3 9 :0 4 6 10 4 :0 3 5 4 :0 3 5 11 4 :0 3 9 11 4 7 :0 5 9 :0 3 10 9 :0 6 7 9 :0 7 10 9 :0 3 4 6 9 :0 3 4 10 9 :0 3 6 7 9 :0 4 6 7 9 :0 3 6 10 9 :0 3 7 10 9 :0 4 7 10 9 :0 6 7 10 9 :0 3 4 6 7 9 :0 3 4 6 10 9 :0 3 4 7 10 9 :0 3 6 7 10 9 :0 4 6 7 10 9 :0 3 4 6 7 10 Superset Chord Types by Root Set 0 :0 1 3 4 7 9 0 :0 1 2 3 4 7 9 0 :0 1 3 4 5 7 9 0 :0 1 3 4 6 7 9 0 :0 1 3 4 7 8 9 0 :0 1 3 4 7 9 10 0 :0 1 3 4 7 9 11 0 :0 1 2 3 4 5 7 9 0 :0 1 2 3 4 6 7 9 0 :0 1 2 3 4 7 8 9 0 :0 1 2 3 4 7 9 10 0 :0 1 2 3 4 7 9 11 0 :0 1 3 4 5 6 7 9 0 :0 1 3 4 5 7 8 9 0 :0 1 3 4 6 7 8 9 0 :0 1 3 4 5 7 9 10 0 :0 1 3 4 5 7 9 11 0 :0 1 3 4 6 7 9 11 0 :0 1 3 4 7 8 9 10 0 :0 1 3 4 7 8 9 11 0 :0 1 3 4 7 9 10 11 0 :0 1 2 3 4 5 6 7 9 0 :0 1 2 3 4 5 7 8 9 0 :0 1 2 3 4 6 7 8 9 0 :0 1 2 3 4 5 7 9 10 0 :0 1 2 3 4 5 7 9 11 0 :0 1 2 3 4 6 7 9 11 0 :0 1 2 3 4 7 8 9 10 0 :0 1 2 3 4 7 8 9 11 0 :0 1 2 3 4 7 9 10 11 0 :0 1 3 4 5 6 7 9 11 0 :0 1 3 4 5 7 8 9 10 0 :0 1 3 4 5 7 9 10 11 0 :0 1 3 4 6 7 8 9 11 0 :0 1 3 4 7 8 9 10 11 0 1 :0 1 2 3 4 6 7 8 9 11 0 1 2 3 4 5 6 7 8 9 10 11:0 1 2 3 4 5 6 7 8 9 10 11 0 1 3 5 6 9 :0 1 2 3 4 6 7 8 9 10 11 0 1 4 7 8 10 :0 1 2 3 4 5 6 7 8 9 11 0 2 :0 1 2 3 4 5 7 9 10 11 0 2 3 6 9 10 :0 1 2 3 4 5 6 7 9 10 11 0 2 4 5 8 11 :0 1 2 3 4 5 7 8 9 10 11 0 3 4 6 8 9 :0 1 3 4 5 6 7 8 9 10 11 0 3 6 7 9 11 :0 1 2 3 4 5 6 7 8 9 10 0 3 6 9 :0 1 3 4 6 7 9 10 0 3 6 9 :0 1 2 3 4 6 7 9 10 0 3 6 9 :0 1 3 4 5 6 7 9 10 0 3 6 9 :0 1 3 4 6 7 8 9 10 0 3 6 9 :0 1 3 4 6 7 9 10 11 0 3 6 9 :0 1 2 3 4 5 6 7 9 10 0 3 6 9 :0 1 2 3 4 6 7 8 9 10 0 3 6 9 :0 1 2 3 4 6 7 9 10 11 0 3 6 9 :0 1 3 4 5 6 7 8 9 10 0 3 6 9 :0 1 3 4 5 6 7 9 10 11 0 3 6 9 :0 1 3 4 6 7 8 9 10 11 0 4 8 :0 1 3 4 5 7 8 9 11 0 4 8 :0 1 2 3 4 5 7 8 9 11 0 4 8 :0 1 3 4 5 6 7 8 9 11 0 4 8 :0 1 3 4 5 7 8 9 10 11 0 5 :0 1 2 3 4 7 8 9 10 11 0 7 :0 1 2 3 4 5 6 7 8 9 0 10 :0 1 2 3 4 5 6 7 9 11 0 11 :0 1 2 3 4 5 7 8 9 10 1 :0 2 3 5 6 8 11 1 :0 2 3 6 7 8 11 1 :0 2 3 6 8 9 11 1 :0 2 3 6 8 10 11 1 :0 1 2 3 6 7 8 11 1 :0 2 3 4 6 7 8 11 1 :0 2 3 5 6 7 8 11 1 :0 2 3 6 7 8 9 11 1 :0 2 3 6 7 8 10 11 1 :0 1 2 3 4 6 7 8 11 1 :0 1 2 3 4 6 8 10 11 1 :0 1 2 3 5 6 7 8 11 1 :0 2 3 4 5 6 7 8 11 1 :0 1 2 3 6 7 8 9 11 1 :0 1 2 3 6 7 8 10 11 1 :0 2 3 4 6 7 8 9 11 1 :0 2 3 5 6 7 8 10 11 1 :0 2 3 6 7 8 9 10 11 1 2 :0 1 2 3 5 6 7 8 10 11 1 2 4 6 7 10 :0 1 2 3 5 6 7 8 9 10 11 1 2 5 8 9 11 :0 1 2 3 4 5 6 7 8 10 11 1 3 :0 1 2 3 4 6 8 9 10 11 1 3 4 7 10 11 :0 1 2 3 4 5 6 8 9 10 11 1 4 5 7 9 10 :0 2 3 4 5 6 7 8 9 10 11 1 4 7 10 :0 2 3 5 6 8 9 11 1 4 7 10 :0 1 2 3 5 6 8 9 11 1 4 7 10 :0 2 3 5 6 7 8 9 11 1 4 7 10 :0 2 3 5 6 8 9 10 11 1 4 7 10 :0 1 2 3 4 5 6 8 9 11 1 4 7 10 :0 1 2 3 5 6 7 8 9 11 1 4 7 10 :0 1 2 3 5 6 8 9 10 11 1 4 7 10 :0 2 3 4 5 6 7 8 9 11 1 4 7 10 :0 2 3 4 5 6 8 9 10 11 1 4 7 10 :0 2 3 5 6 7 8 9 10 11 1 5 9 :0 2 3 4 6 7 8 10 11 1 5 9 :0 1 2 3 4 6 7 8 10 11 1 5 9 :0 2 3 4 5 6 7 8 10 11 1 5 9 :0 2 3 4 6 7 8 9 10 11 1 6 :0 1 2 3 6 7 8 9 10 11 1 8 :0 1 2 3 4 5 6 7 8 11 1 11 :0 1 2 3 4 5 6 8 10 11 2 :0 1 2 5 7 10 11 2 :0 1 2 3 5 7 10 11 2 :0 1 2 4 5 7 10 11 2 :0 1 2 5 6 7 10 11 2 :0 1 2 5 7 8 10 11 2 :0 1 2 5 7 9 10 11 2 :0 1 2 3 4 5 7 10 11 2 :0 1 2 3 5 6 7 10 11 2 :0 1 2 4 5 6 7 10 11 2 :0 1 2 3 5 7 8 10 11 2 :0 1 2 3 5 7 9 10 11 2 :0 1 2 4 5 7 9 10 11 2 :0 1 2 5 7 8 9 10 11 2 3 :0 1 2 4 5 6 7 9 10 11 2 3 5 7 8 11 :0 1 2 4 5 6 7 8 9 10 11 2 4 :0 1 2 3 5 7 8 9 10 11 2 5 8 11 :0 1 2 4 5 7 8 10 11 2 5 8 11 :0 1 2 3 4 5 7 8 10 11 2 5 8 11 :0 1 2 4 5 6 7 8 10 11 2 5 8 11 :0 1 2 4 5 7 8 9 10 11 2 6 10 :0 1 2 3 5 6 7 9 10 11 2 7 :0 1 2 5 6 7 8 9 10 11 2 9 :0 1 2 3 4 5 6 7 10 11 3 :0 1 4 5 6 9 10 3 :0 1 4 6 7 9 10 3 :0 1 4 6 8 9 10 3 :0 1 2 4 6 7 9 10 3 :0 1 3 4 5 6 9 10 3 :0 1 3 4 6 9 10 11 3 :0 1 4 5 6 7 9 10 3 :0 1 4 6 7 8 9 10 3 :0 1 4 6 7 9 10 11 3 :0 1 2 3 4 5 6 9 10 3 :0 1 2 4 5 6 7 9 10 3 :0 1 2 4 6 7 8 9 10 3 :0 1 2 4 6 7 9 10 11 3 :0 1 4 5 6 7 8 9 10 3 :0 1 4 5 6 7 9 10 11 3 :0 1 4 6 7 8 9 10 11 3 4 :0 1 3 4 5 6 8 9 10 11 3 5 :0 1 2 4 6 7 8 9 10 11 3 7 11 :0 1 2 3 4 5 6 8 9 10 3 7 11 :0 1 2 4 5 6 7 8 9 10 3 7 11 :0 1 2 4 5 6 8 9 10 11 3 8 :0 1 4 5 6 7 8 9 10 11 3 10 :0 1 2 3 4 5 6 9 10 11 4 :0 1 3 5 8 9 11 4 :0 2 3 5 8 9 11 4 :0 3 4 5 8 9 11 4 :0 3 5 7 8 9 11 4 :0 1 3 5 7 8 9 11 4 :0 2 3 5 7 8 9 11 4 :0 2 3 5 8 9 10 11 4 :0 3 4 5 7 8 9 11 4 :0 3 5 6 7 8 9 11 4 :0 3 5 7 8 9 10 11 4 :0 1 2 3 5 7 8 9 11 4 :0 2 3 4 5 7 8 9 11 4 :0 1 3 5 6 7 8 9 11 4 :0 3 4 5 6 7 8 9 11 4 :0 1 3 5 7 8 9 10 11 4 :0 2 3 5 7 8 9 10 11 4 :0 3 4 5 7 8 9 10 11 4 :0 3 5 6 7 8 9 10 11 4 5 :0 2 3 4 5 7 8 9 10 11 4 6 :0 1 3 5 6 7 8 9 10 11 4 9 :0 3 4 5 6 7 8 9 10 11 4 11 :0 1 2 3 4 5 8 9 10 11 5 :0 2 4 7 8 10 11 5 :0 1 2 4 7 8 10 11 5 :0 2 3 4 7 8 10 11 5 :0 2 4 5 7 8 10 11 5 :0 2 4 6 7 8 10 11 5 :0 2 4 7 8 9 10 11 5 :0 1 2 3 4 7 8 10 11 5 :0 1 2 4 6 7 8 10 11 5 :0 2 3 4 5 7 8 10 11 5 :0 2 3 4 7 8 9 10 11 5 :0 1 2 4 7 8 9 10 11 5 :0 2 4 5 6 7 8 10 11 5 :0 2 4 5 7 8 9 10 11 5 :0 2 4 6 7 8 9 10 11 5 7 :0 2 4 5 6 7 8 9 10 11 6 :0 1 3 6 7 9 10 6 :0 1 2 3 6 7 9 10 6 :0 1 3 5 6 7 9 10 6 :0 1 3 6 7 8 9 10 6 :0 1 3 6 7 9 10 11 6 :0 1 2 3 5 6 7 9 10 6 :0 1 2 3 6 7 8 9 10 6 :0 1 2 3 6 7 9 10 11 6 :0 1 3 5 6 7 8 9 10 6 :0 1 3 5 6 7 9 10 11 6 :0 1 3 6 7 8 9 10 11 6 7 :0 1 2 3 5 6 7 8 9 10 7 :0 1 2 5 6 7 8 9 7 :0 2 3 5 6 7 8 9 7 :0 2 5 6 7 8 9 10 7 :0 1 2 3 5 6 7 8 9 7 :0 1 2 4 5 6 7 8 9 7 :0 2 3 4 5 6 7 8 9 7 :0 2 3 5 6 7 8 9 10 7 :0 2 4 5 6 7 8 9 10 7 :0 2 4 5 6 7 8 9 11 7 8 :0 1 2 4 5 6 7 8 9 11 7 9 :0 2 3 4 5 6 7 8 9 10 8 :0 1 4 5 7 8 11 8 :0 1 2 4 5 7 8 11 8 :0 1 3 4 5 7 8 11 8 :0 1 4 5 6 7 8 11 8 :0 1 4 5 7 8 9 11 8 :0 1 4 5 7 8 10 11 8 :0 1 2 3 4 5 7 8 11 8 :0 1 2 4 5 6 7 8 11 8 :0 1 3 4 5 6 7 8 11 8 :0 1 2 4 5 7 8 9 11 8 :0 1 3 4 5 7 8 10 11 8 :0 1 4 5 6 7 8 9 11 8 :0 1 4 5 6 7 8 10 11 8 :0 1 4 5 7 8 9 10 11 8 9 :0 1 3 4 5 6 7 8 10 11 9 :0 3 4 6 7 10 9 :0 1 3 4 6 7 10 9 :0 2 3 4 6 7 10 9 :0 3 4 5 6 7 10 9 :0 3 4 6 7 8 10 9 :0 3 4 6 7 9 10 9 :0 3 4 6 7 10 11 9 :0 1 2 3 4 6 7 10 9 :0 1 3 4 5 6 7 10 9 :0 2 3 4 5 6 7 10 9 :0 1 3 4 6 7 8 10 9 :0 1 3 4 6 7 10 11 9 :0 2 3 4 6 7 8 10 9 :0 2 3 4 6 7 9 10 9 :0 2 3 4 6 7 10 11 9 :0 3 4 5 6 7 8 10 9 :0 3 4 5 6 7 9 10 9 :0 3 4 5 6 7 10 11 9 :0 3 4 6 7 8 9 10 9 :0 3 4 6 7 8 10 11 9 :0 3 4 6 7 9 10 11 9 :0 1 2 3 4 5 6 7 10 9 :0 1 2 3 4 6 7 8 10 9 :0 1 2 3 4 6 7 10 11 9 :0 1 3 4 5 6 7 8 10 9 :0 1 3 4 5 6 7 10 11 9 :0 2 3 4 5 6 7 8 10 9 :0 2 3 4 5 6 7 9 10 9 :0 2 3 4 5 6 7 10 11 9 :0 1 3 4 6 7 8 10 11 9 :0 2 3 4 6 7 8 9 10 9 :0 2 3 4 6 7 9 10 11 9 :0 3 4 5 6 7 8 9 10 9 :0 3 4 5 6 7 8 10 11 9 :0 3 4 5 6 7 9 10 11 9 :0 3 4 6 7 8 9 10 11 9 10 :0 2 3 4 5 6 7 9 10 11 9 11 :0 1 2 3 4 5 6 7 8 10 10 :0 2 3 5 6 9 11 10 :0 2 3 5 6 7 9 11 10 :0 1 2 3 5 6 7 9 11 10 :0 2 3 4 5 6 7 9 11 10 :0 2 3 4 5 6 9 10 11 10 :0 2 3 5 6 7 9 10 11 11 :0 1 2 4 5 7 8 10 11 :0 1 2 3 4 5 6 8 10 11 :0 1 2 3 4 5 7 8 10 11 :0 1 2 4 5 6 7 8 10 11 :0 1 2 4 5 7 8 9 10 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 3 4 7 9 = 0: 0 1 3 4 7 9 = 1: 0 2 3 6 8 11 = 3: 0 1 4 6 9 10 = 4: 0 3 5 8 9 11 = 7: 0 2 5 6 8 9 = 9: 0 3 4 6 7 10 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 3 = 0: 0 3 = 3: 0 9 0 2 = maj. 2nd, dim., maj. 9th | 1 7 = 1: 0 6 = 7: 0 6 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 1 4 9 = 0: 0 1 4 9 = 1: 0 3 8 11 = 4: 0 5 8 9 = 9: 0 3 4 7 0 4 = maj. 3rd, maj. 10th, dim. 4th | 0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 4 7 = 4: 0 3 = 7: 0 9 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 1 3 7 9 = 1: 0 2 6 8 = 3: 0 4 6 10 = 7: 0 2 6 8 = 9: 0 4 6 10 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 9 = 0: 0 9 = 9: 0 3 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 1 4 7 = 1: 0 3 6 = 4: 0 3 9 = 7: 0 6 9 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 3 4 7 = 0: 0 3 4 7 = 3: 0 1 4 9 = 4: 0 3 8 11 = 7: 0 5 8 9 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 3 9 = 3: 0 6 = 9: 0 6 0 11 = maj. 7th, maj. 14th | 1 4 = 1: 0 3 = 4: 0 9 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 0 = 0: 0 0 1 4 | 0 3 = 0: 0 3 = 3: 0 9 0 2 3 = min. trichord | 1 = 1: 0 0 3 4 |

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

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

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

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	0 3 = 0: 0 3 = 3: 0 9
0 2 = maj. 2nd, dim., maj. 9th	\|	1 7 = 1: 0 6 = 7: 0 6

3rds / 10ths (Scale Degrees: 13)
0 3 = aug. 2nd, min. 3rd, aug. 9th	\|	0 1 4 9 = 0: 0 1 4 9 = 1: 0 3 8 11 = 4: 0 5 8 9 = 9: 0 3 4 7
0 4 = maj. 3rd, maj. 10th, dim. 4th	\|	0 3 9 = 0: 0 3 9 = 3: 0 6 9 = 9: 0 3 6

4ths / 11ths (Scale Degrees: 14)
0 5 = 4th, 11th, 2 in 4ths	\|	4 7 = 4: 0 3 = 7: 0 9
0 6 = tritone, aug. 4th, dim. 5th, aug. 11th	\|	1 3 7 9 = 1: 0 2 6 8 = 3: 0 4 6 10 = 7: 0 2 6 8 = 9: 0 4 6 10

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	0 9 = 0: 0 9 = 9: 0 3

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

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

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