Chord Type: 0 3

0 3 = augmented 2nd = minor 3rd = augmented 9th = minor 10th

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Chord Type: 0 3

Chord Type Fun Facts 0 3 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 Augmented Scale (0 3 4 7 8 11) Subset of Dorian Mode (0 2 3 5 7 9 10) Subset of Phrygian Mode (0 1 3 5 7 8 10) Subset of Aeolean Mode (0 2 3 5 7 8 10) Subset of Locrian Mode (0 1 3 5 6 8 10) Subset of Harmonic Minor (0 2 3 5 7 8 11) Subset of Melodic Minor (0 2 3 5 7 9 11) Subset of Dorian Blues Scale (0 2 3 5 6 7 9 10) Modal System Fun Facts 0 3 Subset of Diminished Scale Subset of Augmented Scale Subset of Diatonic Modal System Subset of Harmonic Minor Modal System Subset of Melodic Minor Modal System Inversionally Symmetrical Subset of Dorian Blues Scale Subset of Harmonic Major Modal System General Statistics Cardinality: 2 Jordan Number: 2-3 Forte Number: 2-3 Forte Prime Form: [0,3] Zeitler Scale Name: Ian Ring's Scale Page 9 Root Reference: 0 3 Tone Stacking: 0 3 Interval Stacking: 3 9 Binary: 1 0 0 1 0 0 0 0 0 0 0 0 Decimal Value: 9 Interval Vector: 0 0 1 0 0 0 Inversional Symmetry: yes (axes of symmetry: 1.5 7.5) Transpositional Symmetry: no Melodic Adjacency (0-1): 0.600 Harmonic Adjacency (0-1): 0.600 Modal-system-invariant under multiplication by: 1 3 5 7 9 11 Modal System Balanced: no Diachromatic Family: 3rds / 10ths (Scale Degrees: 13) ->0 3 = aug. 2nd, min. 3rd, aug. 9th 0 4 = maj. 3rd, maj. 10th, dim. 4th All Transpositions of Chord Type: +0= 0 3 |augmented 2nd = minor 3rd = augmented 9th = minor 10th +1= 1 4 | +2= 2 5 | +3= 3 6 | +4= 4 7 | +5= 5 8 | +6= 6 9 | +7= 7 10 | +8= 8 11 | +9= 0 9 |major 6th = major 13th = diminished 7th +10= 1 10 | +11= 2 11 | Modes of Chord Type: (mode 0) 0: 0 3 | augmented 2nd = minor 3rd = augmented 9th = minor 10th (mode 1) 3: 0 9 | major 6th = major 13th = diminished 7th Modes of Chord Type Sorted by Rootedness: 1.067(mode 0)0:0 3 |augmented 2nd = minor 3rd = augmented 9th = minor 10th .933(mode 1)3:0 9 |major 6th = major 13th = diminished 7th Inversion at 0: 0 9 (mode 0) 0: 0 9 | major 6th = major 13th = diminished 7th (mode 1) 9: 0 3 | augmented 2nd = minor 3rd = augmented 9th = minor 10th Times 7: 0 9 (mode 0) 0: 0 9 | major 6th = major 13th = diminished 7th (mode 1) 9: 0 3 | augmented 2nd = minor 3rd = augmented 9th = minor 10th Times 5: 0 3 (mode 0) 0: 0 3 | augmented 2nd = minor 3rd = augmented 9th = minor 10th (mode 1) 3: 0 9 | major 6th = major 13th = diminished 7th Modal System: 0 3 from root(s) 0 | "minor 3rd modal system" Modes of Modal System: (mode 0) 0: 0 3 | augmented 2nd = minor 3rd = augmented 9th = minor 10th (mode 1) 3: 0 9 | major 6th = major 13th = diminished 7th Complement: 1 2 4 5 6 7 8 9 10 11 (mode 0) 1: 0 1 3 4 5 6 7 8 9 10 | aux. diminished scale & phrygian = aux. diminished scale & locrian = 014589 & aux. diminished scale (mode 1) 2: 0 2 3 4 5 6 7 8 9 11 | lydian & harmonic minor = diminished scale & ionian = diminished scale & lydian (mode 2) 4: 0 1 2 3 4 5 6 7 9 10 | aux. diminished scale & dorian (mode 3) 5: 0 1 2 3 4 5 6 8 9 11 | (mode 4) 6: 0 1 2 3 4 5 7 8 10 11 | (mode 5) 7: 0 1 2 3 4 6 7 9 10 11 | aux. diminished scale & lydian = 2367AB & aux. diminished scale (mode 6) 8: 0 1 2 3 5 6 8 9 10 11 | diminished scale & locrian (mode 7) 9: 0 1 2 4 5 7 8 9 10 11 | 014589 & bebop major = Spanish Gypsy & ionian (mode 8) 10: 0 1 3 4 6 7 8 9 10 11 | 03478B & aux. diminished scale (mode 9) 11: 0 2 3 5 6 7 8 9 10 11 | diminished scale & dorian = diminished scale & aeolean All but the root (subchroma complement of 0): 3 (mode 0) 3: 0 | root = unison = diminished second = octave = augmented seventh 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) Augmented second - Wikipedia Minor third - Wikipedia Tenth - Wikipedia Augmented ninth - 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 | chromatic tetrachord (mode 1) 1: 0 1 2 11 | (mode 2) 2: 0 1 10 11 | (mode 3) 3: 0 9 10 11 | (mode 0) 0: 0 3 4 5 6 7 8 9 10 11 | (mode 1) 3: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 2) 4: 0 1 2 3 4 5 6 7 8 11 | (mode 3) 5: 0 1 2 3 4 5 6 7 10 11 | (mode 4) 6: 0 1 2 3 4 5 6 9 10 11 | (mode 5) 7: 0 1 2 3 4 5 8 9 10 11 | (mode 6) 8: 0 1 2 3 4 7 8 9 10 11 | (mode 7) 9: 0 1 2 3 6 7 8 9 10 11 | (mode 8) 10: 0 1 2 5 6 7 8 9 10 11 | (mode 9) 11: 0 1 4 5 6 7 8 9 10 11 | chromaticized keep 0: (mode 0) 0: 0 1 2 3 | chromatic tetrachord (mode 1) 1: 0 1 2 11 | (mode 2) 2: 0 1 10 11 | (mode 3) 3: 0 9 10 11 | (mode 0) 0: 0 3 4 5 6 7 8 9 10 11 | (mode 1) 3: 0 1 2 3 4 5 6 7 8 9 | 1st 10 notes of chromatic scale (mode 2) 4: 0 1 2 3 4 5 6 7 8 11 | (mode 3) 5: 0 1 2 3 4 5 6 7 10 11 | (mode 4) 6: 0 1 2 3 4 5 6 9 10 11 | (mode 5) 7: 0 1 2 3 4 5 8 9 10 11 | (mode 6) 8: 0 1 2 3 4 7 8 9 10 11 | (mode 7) 9: 0 1 2 3 6 7 8 9 10 11 | (mode 8) 10: 0 1 2 5 6 7 8 9 10 11 | (mode 9) 11: 0 1 4 5 6 7 8 9 10 11 | chromaticized keep 0 7: (mode 0) 0: 0 1 2 3 | chromatic tetrachord (mode 1) 1: 0 1 2 11 | (mode 2) 2: 0 1 10 11 | (mode 3) 3: 0 9 10 11 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 3 | chromatic tetrachord (mode 1) 1: 0 1 2 11 | (mode 2) 2: 0 1 10 11 | (mode 3) 3: 0 9 10 11 | alt-chromaticized: (mode 0) 0: 0 3 5 10 | m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th (mode 1) 3: 0 2 7 9 | 4-note 5ths stack (mode 2) 5: 0 5 7 10 | 7sus4 (mode 3) 10: 0 2 5 7 | (mode 0) 0: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 1) 1: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 2) 2: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 3) 3: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 4) 4: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 5) 6: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 6) 7: 0 1 2 4 5 6 7 8 9 11 | (mode 7) 8: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 8) 9: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 9) 11: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale alt-chromaticized keep 0: (mode 0) 0: 0 3 5 10 | m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th (mode 1) 3: 0 2 7 9 | 4-note 5ths stack (mode 2) 5: 0 5 7 10 | 7sus4 (mode 3) 10: 0 2 5 7 | (mode 0) 0: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 1) 1: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 2) 2: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 3) 3: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 4) 4: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 5) 6: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 6) 7: 0 1 2 4 5 6 7 8 9 11 | (mode 7) 8: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 8) 9: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 9) 11: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale alt-chromaticized keep 0 7: (mode 0) 0: 0 3 5 10 | m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th (mode 1) 3: 0 2 7 9 | 4-note 5ths stack (mode 2) 5: 0 5 7 10 | 7sus4 (mode 3) 10: 0 2 5 7 | (mode 0) 0: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 1) 1: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 2) 2: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 3) 3: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 4) 4: 0 2 3 4 5 7 8 9 10 11 | ioaeolean scale = mixolydian & harmonic minor = dorian & augmented scale = mixolydian & augmented scale = aug scale and bebop major (mode 5) 6: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 6) 7: 0 1 2 4 5 6 7 8 9 11 | (mode 7) 8: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 8) 9: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 9) 11: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale alt-chromaticized keep 0 3 4 7: (mode 0) 0: 0 3 5 10 | m11 no 5th,7th,9th = 4-note 4ths stack = minor pentatonic no 5th (mode 1) 3: 0 2 7 9 | 4-note 5ths stack (mode 2) 5: 0 5 7 10 | 7sus4 (mode 3) 10: 0 2 5 7 | Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 3 = 0: 0 3 = 3: 0 9 1 3 3 0 9 = 0: 0 9 = 9: 0 3 Bright Layer Composition order pcset 1 0 3 = 0: 0 3 = 3: 0 9 2 0 3 7 10 = 0: 0 3 7 10 = 3: 0 4 7 9 = 7: 0 3 5 8 = 10: 0 2 5 9 3 0 2 3 5 7 10 = 0: 0 2 3 5 7 10 = 2: 0 1 3 5 8 10 = 3: 0 2 4 7 9 11 = 5: 0 2 5 7 9 10 = 7: 0 3 5 7 8 10 = 10: 0 2 4 5 7 9 4 0 2 3 5 7 9 10 = 0: 0 2 3 5 7 9 10 = 2: 0 1 3 5 7 8 10 = 3: 0 2 4 6 7 9 11 = 5: 0 2 4 5 7 9 10 = 7: 0 2 3 5 7 8 10 = 9: 0 1 3 5 6 8 10 = 10: 0 2 4 5 7 9 11 5 0 2 3 4 5 7 9 10 = 0: 0 2 3 4 5 7 9 10 = 2: 0 1 2 3 5 7 8 10 = 3: 0 1 2 4 6 7 9 11 = 4: 0 1 3 5 6 8 10 11 = 5: 0 2 4 5 7 9 10 11 = 7: 0 2 3 5 7 8 9 10 = 9: 0 1 3 5 6 7 8 10 = 10: 0 2 4 5 6 7 9 11 6 0 2 3 4 5 7 9 10 11 = 0: 0 2 3 4 5 7 9 10 11 = 2: 0 1 2 3 5 7 8 9 10 = 3: 0 1 2 4 6 7 8 9 11 = 4: 0 1 3 5 6 7 8 10 11 = 5: 0 2 4 5 6 7 9 10 11 = 7: 0 2 3 4 5 7 8 9 10 = 9: 0 1 2 3 5 6 7 8 10 = 10: 0 1 2 4 5 6 7 9 11 = 11: 0 1 3 4 5 6 8 10 11 7 0 2 3 4 5 6 7 9 10 11 = 0: 0 2 3 4 5 6 7 9 10 11 = 2: 0 1 2 3 4 5 7 8 9 10 = 3: 0 1 2 3 4 6 7 8 9 11 = 4: 0 1 2 3 5 6 7 8 10 11 = 5: 0 1 2 4 5 6 7 9 10 11 = 6: 0 1 3 4 5 6 8 9 10 11 = 7: 0 2 3 4 5 7 8 9 10 11 = 9: 0 1 2 3 5 6 7 8 9 10 = 10: 0 1 2 4 5 6 7 8 9 11 = 11: 0 1 3 4 5 6 7 8 10 11 8 0 1 2 3 4 5 6 7 9 10 11 = 0: 0 1 2 3 4 5 6 7 9 10 11 = 1: 0 1 2 3 4 5 6 8 9 10 11 = 2: 0 1 2 3 4 5 7 8 9 10 11 = 3: 0 1 2 3 4 6 7 8 9 10 11 = 4: 0 1 2 3 5 6 7 8 9 10 11 = 5: 0 1 2 4 5 6 7 8 9 10 11 = 6: 0 1 3 4 5 6 7 8 9 10 11 = 7: 0 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 = 10: 0 1 2 3 4 5 6 7 8 9 11 = 11: 0 1 2 3 4 5 6 7 8 10 11 9 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 subchroma modal system: 0 0 = 0 = 0: 0 3 = 3 = 3: 0 subchroma modal system: 0 1 0 3 = 0 3 = 0: 0 3 3: 0 9 3 0 = 0 3 = 0: 0 3 3: 0 9 Subset Chord Types by Root Set 0 :0 3 0 3:0 3 :0 9 Superset Chord Types by Root Set 0 :0 3 0 :0 1 3 0 :0 2 3 0 :0 3 4 0 :0 3 5 0 :0 3 7 0 :0 3 10 0 :0 3 11 0 :0 1 2 3 0 :0 2 3 4 0 :0 1 3 5 0 :0 3 4 5 0 :0 1 3 7 0 :0 2 3 7 0 :0 3 4 8 0 :0 1 3 11 0 :0 2 3 10 0 :0 3 4 10 0 :0 3 4 11 0 :0 3 5 7 0 :0 3 5 10 0 :0 3 5 11 0 :0 3 7 8 0 :0 3 7 11 0 :0 3 10 11 0 :0 1 2 3 7 0 :0 2 3 4 8 0 :0 2 3 4 10 0 :0 1 3 5 7 0 :0 3 4 5 10 0 :0 3 4 5 11 0 :0 1 3 7 8 0 :0 2 3 7 8 0 :0 1 3 7 11 0 :0 3 4 8 10 0 :0 3 4 10 11 0 :0 3 5 7 11 0 :0 1 2 3 7 8 0 :0 2 3 4 8 10 0 :0 1 3 5 7 11 0 :0 3 4 5 10 11 0 1 :0 2 3 11 0 1 :0 1 2 3 11 0 1 :0 2 3 4 11 0 1 :0 2 3 7 11 0 1 :0 2 3 10 11 0 1 :0 1 2 3 7 11 0 1 :0 2 3 4 10 11 0 1 2 :0 1 2 3 10 11 0 1 2 3 4 5 :0 1 2 3 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 3 4 5 6 7 9 10 :0 1 2 3 5 6 7 8 9 10 11 0 1 2 3 4 5 6 8 9 11 :0 1 2 3 4 6 7 8 9 10 11 0 1 2 3 4 5 6 9 :0 1 2 3 6 7 8 9 10 11 0 1 2 3 4 5 7 8 10 11 :0 1 2 3 4 5 7 8 9 10 11 0 1 2 3 4 5 7 10 :0 1 2 3 5 7 8 9 10 11 0 1 2 3 4 5 8 11 :0 1 2 3 4 7 8 9 10 11 0 1 2 3 4 6 7 9 10 :0 1 2 3 5 6 8 9 10 11 0 1 2 3 4 6 7 9 10 11 :0 1 2 3 4 5 6 8 9 10 11 0 1 2 3 4 6 9 11 :0 1 2 3 4 6 8 9 10 11 0 1 2 3 4 7 10 11 :0 1 2 3 4 5 8 9 10 11 0 1 2 3 5 :0 1 2 3 7 9 10 11 0 1 2 3 5 6 8 9 10 11 :0 1 2 3 4 5 6 7 9 10 11 0 1 2 3 5 6 8 9 11 :0 1 2 3 4 6 7 9 10 11 0 1 2 3 5 6 9 :0 1 2 3 6 7 9 10 11 0 1 2 3 5 6 9 10 :0 1 2 3 5 6 7 9 10 11 0 1 2 3 5 8 10 11 :0 1 2 3 4 5 7 9 10 11 0 1 2 3 5 8 11 :0 1 2 3 4 7 9 10 11 0 1 2 3 5 10 :0 1 2 3 5 7 9 10 11 0 1 2 3 6 9 10 11 :0 1 2 3 4 5 6 9 10 11 0 1 2 3 11 :0 1 2 3 4 9 10 11 0 1 2 4 5 :0 1 2 3 7 8 10 11 0 1 2 4 5 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 10 11 0 1 2 4 5 7 8 10 11 :0 1 2 3 4 5 7 8 10 11 0 1 2 4 5 7 9 10 :0 1 2 3 5 6 7 8 10 11 0 1 2 4 5 7 10 :0 1 2 3 5 7 8 10 11 0 1 2 4 5 8 9 11 :0 1 2 3 4 6 7 8 10 11 0 1 2 4 5 8 11 :0 1 2 3 4 7 8 10 11 0 1 2 4 5 9 :0 1 2 3 6 7 8 10 11 0 1 2 4 7 9 10 11 :0 1 2 3 4 5 6 8 10 11 0 1 2 4 9 11 :0 1 2 3 4 6 8 10 11 0 1 2 4 11 :0 1 2 3 4 8 10 11 0 1 2 5 :0 1 2 3 7 10 11 0 1 2 5 8 9 10 11 :0 1 2 3 4 5 6 7 10 11 0 1 2 5 8 9 11 :0 1 2 3 4 6 7 10 11 0 1 2 5 8 10 11 :0 1 2 3 4 5 7 10 11 0 1 2 5 8 11 :0 1 2 3 4 7 10 11 0 1 2 5 9 :0 1 2 3 6 7 10 11 0 1 2 5 9 10 :0 1 2 3 5 6 7 10 11 0 1 2 5 10 :0 1 2 3 5 7 10 11 0 1 2 9 :0 1 2 3 6 10 11 0 1 2 11 :0 1 2 3 4 10 11 0 1 3 :0 2 3 9 11 0 1 3 :0 1 2 3 9 11 0 1 3 :0 2 3 4 9 11 0 1 3 :0 2 3 7 9 11 0 1 3 :0 2 3 9 10 11 0 1 3 :0 1 2 3 7 9 11 0 1 3 :0 2 3 4 9 10 11 0 1 3 4 :0 2 3 4 8 9 11 0 1 3 4 :0 2 3 7 8 9 11 0 1 3 4 :0 1 2 3 7 8 9 11 0 1 3 4 :0 2 3 4 8 9 10 11 0 1 3 4 5 :0 2 3 7 8 9 10 11 0 1 3 4 5 6 7 8 9 10 :0 2 3 4 5 6 7 8 9 10 11 0 1 3 4 5 6 7 9 10 :0 2 3 5 6 7 8 9 10 11 0 1 3 4 5 6 8 9 :0 2 3 4 6 7 8 9 10 11 0 1 3 4 5 6 9 :0 2 3 6 7 8 9 10 11 0 1 3 4 5 7 8 10 :0 2 3 4 5 7 8 9 10 11 0 1 3 4 5 7 10 :0 2 3 5 7 8 9 10 11 0 1 3 4 5 8 :0 2 3 4 7 8 9 10 11 0 1 3 4 6 7 8 9 10 :0 2 3 4 5 6 7 8 9 11 0 1 3 4 6 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 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 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 11 :0 1 2 3 4 5 6 8 9 11 0 1 3 4 6 8 9 :0 2 3 4 6 7 8 9 11 0 1 3 4 6 8 9 11 :0 1 2 3 4 6 7 8 9 11 0 1 3 4 6 9 :0 2 3 6 8 9 11 0 1 3 4 6 9 :0 2 3 6 7 8 9 11 0 1 3 4 6 9 :0 1 2 3 6 7 8 9 11 0 1 3 4 7 8 10 :0 2 3 4 5 7 8 9 11 0 1 3 4 7 8 10 11 :0 1 2 3 4 5 7 8 9 11 0 1 3 4 7 10 :0 2 3 5 8 9 11 0 1 3 4 7 10 :0 2 3 5 7 8 9 11 0 1 3 4 7 10 :0 2 3 5 8 9 10 11 0 1 3 4 7 10 :0 1 2 3 5 7 8 9 11 0 1 3 4 8 :0 2 3 4 7 8 9 11 0 1 3 4 8 11 :0 1 2 3 4 7 8 9 11 0 1 3 5 :0 2 3 7 9 10 11 0 1 3 5 6 8 9 :0 2 3 4 6 7 9 10 11 0 1 3 5 6 8 9 10 :0 2 3 4 5 6 7 9 10 11 0 1 3 5 6 9 :0 2 3 6 7 9 10 11 0 1 3 5 6 9 10 :0 2 3 5 6 7 9 10 11 0 1 3 5 8 :0 2 3 4 7 9 10 11 0 1 3 5 8 10 :0 2 3 4 5 7 9 10 11 0 1 3 5 10 :0 2 3 5 7 9 10 11 0 1 3 6 8 9 :0 2 3 4 6 7 9 11 0 1 3 6 8 9 10 :0 2 3 4 5 6 7 9 11 0 1 3 6 8 9 10 11 :0 1 2 3 4 5 6 7 9 11 0 1 3 6 8 9 11 :0 1 2 3 4 6 7 9 11 0 1 3 6 9 :0 2 3 6 7 9 11 0 1 3 6 9 :0 2 3 6 9 10 11 0 1 3 6 9 :0 1 2 3 6 7 9 11 0 1 3 6 9 :0 2 3 4 6 9 10 11 0 1 3 6 9 10 :0 2 3 5 6 9 11 0 1 3 6 9 10 :0 2 3 5 6 7 9 11 0 1 3 6 9 10 :0 1 2 3 5 6 7 9 11 0 1 3 6 9 10 :0 2 3 4 5 6 9 10 11 0 1 3 8 :0 2 3 4 7 9 11 0 1 3 8 10 :0 2 3 4 5 7 9 11 0 1 3 8 10 11 :0 1 2 3 4 5 7 9 11 0 1 3 8 11 :0 1 2 3 4 7 9 11 0 1 3 10 :0 1 2 3 5 9 11 0 1 3 10 :0 2 3 5 7 9 11 0 1 3 10 :0 2 3 5 9 10 11 0 1 3 10 :0 1 2 3 5 7 9 11 0 1 3 11 :0 1 2 3 4 9 11 0 1 4 :0 2 3 4 8 11 0 1 4 :0 2 3 7 8 11 0 1 4 :0 2 3 8 10 11 0 1 4 :0 1 2 3 7 8 11 0 1 4 :0 2 3 4 8 10 11 0 1 4 5 :0 2 3 7 8 10 11 0 1 4 5 7 8 9 10 :0 2 3 4 5 6 7 8 10 11 0 1 4 5 7 8 10 :0 2 3 4 5 7 8 10 11 0 1 4 5 7 9 10 :0 2 3 5 6 7 8 10 11 0 1 4 5 7 10 :0 2 3 5 7 8 10 11 0 1 4 5 8 :0 2 3 4 7 8 10 11 0 1 4 5 8 9 :0 2 3 4 6 7 8 10 11 0 1 4 5 9 :0 2 3 6 7 8 10 11 0 1 4 7 8 9 10 :0 2 3 4 5 6 7 8 11 0 1 4 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 11 0 1 4 7 8 10 :0 2 3 4 5 7 8 11 0 1 4 7 8 10 11 :0 1 2 3 4 5 7 8 11 0 1 4 7 9 10 :0 2 3 5 6 8 11 0 1 4 7 9 10 :0 2 3 5 6 7 8 11 0 1 4 7 9 10 :0 1 2 3 5 6 7 8 11 0 1 4 7 10 :0 2 3 5 7 8 11 0 1 4 7 10 :0 2 3 5 8 10 11 0 1 4 7 10 :0 1 2 3 5 7 8 11 0 1 4 8 :0 2 3 4 7 8 11 0 1 4 8 9 :0 2 3 4 6 7 8 11 0 1 4 8 9 11 :0 1 2 3 4 6 7 8 11 0 1 4 8 11 :0 1 2 3 4 7 8 11 0 1 4 9 :0 2 3 6 7 8 11 0 1 4 9 :0 2 3 6 8 10 11 0 1 4 9 :0 1 2 3 6 7 8 11 0 1 4 11 :0 1 2 3 4 8 11 0 1 5 :0 2 3 7 10 11 0 1 5 8 :0 2 3 4 7 10 11 0 1 5 8 9 :0 2 3 4 6 7 10 11 0 1 5 8 9 10 :0 2 3 4 5 6 7 10 11 0 1 5 8 10 :0 2 3 4 5 7 10 11 0 1 5 9 :0 2 3 6 7 10 11 0 1 5 9 10 :0 2 3 5 6 7 10 11 0 1 5 10 :0 2 3 5 7 10 11 0 1 8 :0 2 3 4 7 11 0 1 8 9 :0 2 3 4 6 7 11 0 1 8 9 10 :0 2 3 4 5 6 7 11 0 1 8 9 10 11 :0 1 2 3 4 5 6 7 11 0 1 8 9 11 :0 1 2 3 4 6 7 11 0 1 8 10 :0 2 3 4 5 7 11 0 1 8 10 11 :0 1 2 3 4 5 7 11 0 1 8 11 :0 1 2 3 4 7 11 0 1 9 :0 2 3 6 11 0 1 9 :0 1 2 3 6 11 0 1 9 :0 2 3 4 6 11 0 1 9 :0 2 3 6 7 11 0 1 9 :0 1 2 3 6 7 11 0 1 9 :0 2 3 4 6 10 11 0 1 9 10 :0 2 3 5 6 11 0 1 9 10 :0 2 3 4 5 6 11 0 1 9 10 :0 2 3 5 6 7 11 0 1 9 10 :0 2 3 5 6 10 11 0 1 9 10 :0 1 2 3 5 6 7 11 0 1 9 10 :0 2 3 4 5 6 10 11 0 1 10 :0 1 2 3 5 11 0 1 10 :0 2 3 4 5 11 0 1 10 :0 2 3 5 7 11 0 1 10 :0 2 3 5 10 11 0 1 10 :0 1 2 3 5 7 11 0 1 10 :0 2 3 4 5 10 11 0 1 11 :0 1 2 3 4 11 0 2 :0 1 3 10 0 2 :0 1 2 3 10 0 2 :0 1 3 10 11 0 2 :0 1 3 5 10 11 0 2 3 :0 1 3 9 10 0 2 3 :0 1 2 3 9 10 0 2 3 :0 1 3 9 10 11 0 2 3 4 5 :0 1 3 7 8 9 10 11 0 2 3 4 5 6 7 8 9 11 :0 1 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 9 :0 1 3 5 6 7 8 9 10 11

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

1	3	3	0 9 = 0: 0 9 = 9: 0 3

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