Chord Type: 0 5

0 5 = perfect 4th = perfect 11th = augmented third = 2-note 4ths stack

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This Chord Type Chord Diagrams in 4ths Tuning
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Chord Type: 0 5

Chord Type Fun Facts 0 5 Subset of Diminished Scale (0 2 3 5 6 8 9 11) Subset of Augmented Scale (0 1 4 5 8 9) Subset of Ionian Mode (0 2 4 5 7 9 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 Mixolydian Mode (0 2 4 5 7 9 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 5 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 Harmonic adjacency = 1 (maximum). Subset of Harmonic Major Modal System General Statistics Cardinality: 2 Jordan Number: 2-5 Forte Number: 2-5 Forte Prime Form: [0,5] Zeitler Scale Name: Ian Ring's Scale Page 33 Root Reference: 0 5 Tone Stacking: 0 5 Interval Stacking: 5 7 Binary: 1 0 0 0 0 1 0 0 0 0 0 0 Decimal Value: 33 Interval Vector: 0 0 0 0 1 0 Inversional Symmetry: yes (axes of symmetry: 2.5 8.5) Transpositional Symmetry: no Melodic Adjacency (0-1): 0.200 Harmonic Adjacency (0-1): 1.000 Modal-system-invariant under multiplication by: 1 11 Modal System Balanced: no Diachromatic Family: 4ths / 11ths (Scale Degrees: 14) ->0 5 = 4th, 11th, 2 in 4ths 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th All Transpositions of Chord Type: +0= 0 5 |perfect 4th = perfect 11th = augmented third = 2-note 4ths stack +1= 1 6 | +2= 2 7 | +3= 3 8 | +4= 4 9 | +5= 5 10 | +6= 6 11 | +7= 0 7 |perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack +8= 1 8 | +9= 2 9 | +10= 3 10 | +11= 4 11 | Modes of Chord Type: (mode 0) 0: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack (mode 1) 5: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack Modes of Chord Type Sorted by Rootedness: 1.500(mode 1)5:0 7 |perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack .500(mode 0)0:0 5 |perfect 4th = perfect 11th = augmented third = 2-note 4ths stack Inversion at 0: 0 7 (mode 0) 0: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack (mode 1) 7: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack Times 7: 0 11 (mode 0) 0: 0 11 | major 7th = major 14th = diminished octave (mode 1) 11: 0 1 | semitone = augmented unison = minor 2nd = minor 9th Times 5: 0 1 (mode 0) 0: 0 1 | semitone = augmented unison = minor 2nd = minor 9th (mode 1) 1: 0 11 | major 7th = major 14th = diminished octave Modal System: 0 5 from root(s) 0 | "open dyad modal system" Modes of Modal System: (mode 0) 0: 0 5 | perfect 4th = perfect 11th = augmented third = 2-note 4ths stack (mode 1) 5: 0 7 | perfect 5th = perfect 12th = diminished 6th = 2-note 5ths stack Complement: 1 2 3 4 6 7 8 9 10 11 (mode 0) 1: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 1) 2: 0 1 2 4 5 6 7 8 9 11 | (mode 2) 3: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 3) 4: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 4) 6: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 5) 7: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 6) 8: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 7) 9: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 8) 10: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 9) 11: 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 All but the root (subchroma complement of 0): 5 (mode 0) 5: 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) Perfect fourth - Wikipedia Augmented third - Wikipedia Eleventh - 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 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 1: 0 1 2 3 4 11 | (mode 2) 2: 0 1 2 3 10 11 | (mode 3) 3: 0 1 2 9 10 11 | (mode 4) 4: 0 1 8 9 10 11 | (mode 5) 5: 0 7 8 9 10 11 | (mode 0) 0: 0 5 6 7 8 9 10 11 | (mode 1) 5: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 2) 6: 0 1 2 3 4 5 6 11 | (mode 3) 7: 0 1 2 3 4 5 10 11 | (mode 4) 8: 0 1 2 3 4 9 10 11 | (mode 5) 9: 0 1 2 3 8 9 10 11 | (mode 6) 10: 0 1 2 7 8 9 10 11 | (mode 7) 11: 0 1 6 7 8 9 10 11 | chromaticized keep 0: (mode 0) 0: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 1: 0 1 2 3 4 11 | (mode 2) 2: 0 1 2 3 10 11 | (mode 3) 3: 0 1 2 9 10 11 | (mode 4) 4: 0 1 8 9 10 11 | (mode 5) 5: 0 7 8 9 10 11 | (mode 0) 0: 0 5 6 7 8 9 10 11 | (mode 1) 5: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 2) 6: 0 1 2 3 4 5 6 11 | (mode 3) 7: 0 1 2 3 4 5 10 11 | (mode 4) 8: 0 1 2 3 4 9 10 11 | (mode 5) 9: 0 1 2 3 8 9 10 11 | (mode 6) 10: 0 1 2 7 8 9 10 11 | (mode 7) 11: 0 1 6 7 8 9 10 11 | chromaticized keep 0 7: (mode 0) 0: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 1: 0 1 2 3 4 11 | (mode 2) 2: 0 1 2 3 10 11 | (mode 3) 3: 0 1 2 9 10 11 | (mode 4) 4: 0 1 8 9 10 11 | (mode 5) 5: 0 7 8 9 10 11 | (mode 0) 0: 0 5 6 7 8 9 10 11 | (mode 1) 5: 0 1 2 3 4 5 6 7 | 1st 8 notes of chromatic scale (mode 2) 6: 0 1 2 3 4 5 6 11 | (mode 3) 7: 0 1 2 3 4 5 10 11 | (mode 4) 8: 0 1 2 3 4 9 10 11 | (mode 5) 9: 0 1 2 3 8 9 10 11 | (mode 6) 10: 0 1 2 7 8 9 10 11 | (mode 7) 11: 0 1 6 7 8 9 10 11 | (mode 0) 0: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 1) 1: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 2) 2: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 3) 3: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 4) 4: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 5) 5: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 6) 6: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 7) 7: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 8) 8: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 9) 9: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 10) 10: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 11) 11: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 2 3 4 5 | 1st 6 notes of chromatic scale = type A all-combinatorial hexachord prime form (mode 1) 1: 0 1 2 3 4 11 | (mode 2) 2: 0 1 2 3 10 11 | (mode 3) 3: 0 1 2 9 10 11 | (mode 4) 4: 0 1 8 9 10 11 | (mode 5) 5: 0 7 8 9 10 11 | alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: (mode 0) 0: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 1) 1: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 2) 2: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 3) 3: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 4) 4: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 5) 5: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 6) 6: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 7) 7: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 8) 8: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 9) 9: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 10) 10: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale (mode 11) 11: 0 1 2 3 4 5 6 7 8 9 10 11 | chromatic scale = harmonic scale = dodecachord = 12-note 4ths stack = 12-note 5ths stack = iolocrian scale = phrygilydian scale = locrelydian scale alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 1 0 0 0 5 = 0: 0 5 = 5: 0 7 2 5 0 5 0 = 0: 0 1 5 5 0 7 = 0: 0 7 = 7: 0 5 Bright Layer Composition order pcset 1 0 5 = 0: 0 5 = 5: 0 7 2 0 5 7 = 0: 0 5 7 = 5: 0 2 7 = 7: 0 5 10 3 0 2 5 7 = 0: 0 2 5 7 = 2: 0 3 5 10 = 5: 0 2 7 9 = 7: 0 5 7 10 4 0 2 5 7 9 = 0: 0 2 5 7 9 = 2: 0 3 5 7 10 = 5: 0 2 4 7 9 = 7: 0 2 5 7 10 = 9: 0 3 5 8 10 5 0 2 4 5 7 9 = 0: 0 2 4 5 7 9 = 2: 0 2 3 5 7 10 = 4: 0 1 3 5 8 10 = 5: 0 2 4 7 9 11 = 7: 0 2 5 7 9 10 = 9: 0 3 5 7 8 10 6 0 2 4 5 7 9 11 = 0: 0 2 4 5 7 9 11 = 2: 0 2 3 5 7 9 10 = 4: 0 1 3 5 7 8 10 = 5: 0 2 4 6 7 9 11 = 7: 0 2 4 5 7 9 10 = 9: 0 2 3 5 7 8 10 = 11: 0 1 3 5 6 8 10 7 0 2 4 5 6 7 9 11 = 0: 0 2 4 5 6 7 9 11 = 2: 0 2 3 4 5 7 9 10 = 4: 0 1 2 3 5 7 8 10 = 5: 0 1 2 4 6 7 9 11 = 6: 0 1 3 5 6 8 10 11 = 7: 0 2 4 5 7 9 10 11 = 9: 0 2 3 5 7 8 9 10 = 11: 0 1 3 5 6 7 8 10 8 0 1 2 4 5 6 7 9 11 = 0: 0 1 2 4 5 6 7 9 11 = 1: 0 1 3 4 5 6 8 10 11 = 2: 0 2 3 4 5 7 9 10 11 = 4: 0 1 2 3 5 7 8 9 10 = 5: 0 1 2 4 6 7 8 9 11 = 6: 0 1 3 5 6 7 8 10 11 = 7: 0 2 4 5 6 7 9 10 11 = 9: 0 2 3 4 5 7 8 9 10 = 11: 0 1 2 3 5 6 7 8 10 9 0 1 2 4 5 6 7 8 9 11 = 0: 0 1 2 4 5 6 7 8 9 11 = 1: 0 1 3 4 5 6 7 8 10 11 = 2: 0 2 3 4 5 6 7 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 = 5: 0 1 2 3 4 6 7 8 9 11 = 6: 0 1 2 3 5 6 7 8 10 11 = 7: 0 1 2 4 5 6 7 9 10 11 = 8: 0 1 3 4 5 6 8 9 10 11 = 9: 0 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 5 6 7 8 9 10 10 0 1 2 3 4 5 6 7 8 9 11 = 0: 0 1 2 3 4 5 6 7 8 9 11 = 1: 0 1 2 3 4 5 6 7 8 10 11 = 2: 0 1 2 3 4 5 6 7 9 10 11 = 3: 0 1 2 3 4 5 6 8 9 10 11 = 4: 0 1 2 3 4 5 7 8 9 10 11 = 5: 0 1 2 3 4 6 7 8 9 10 11 = 6: 0 1 2 3 5 6 7 8 9 10 11 = 7: 0 1 2 4 5 6 7 8 9 10 11 = 8: 0 1 3 4 5 6 7 8 9 10 11 = 9: 0 2 3 4 5 6 7 8 9 10 11 = 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: 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 5 subchroma modal system: 0 0 = 0 = 0: 0 5 = 5 = 5: 0 subchroma modal system: 0 1 0 5 = 0 5 = 0: 0 5 5: 0 7 5 0 = 0 5 = 0: 0 5 5: 0 7 Subset Chord Types by Root Set 0 :0 5 0 5:0 5 :0 7 Superset Chord Types by Root Set 0 :0 5 0 :0 3 5 0 :0 4 5 0 :0 1 3 5 0 :0 1 4 5 0 :0 2 3 5 0 :0 2 4 5 0 :0 3 4 5 0 :0 3 5 6 0 :0 4 5 6 0 :0 3 5 11 0 :0 1 2 3 5 0 :0 1 2 4 5 0 :0 1 3 4 5 0 :0 2 3 5 6 0 :0 2 4 5 6 0 :0 3 4 5 6 0 :0 4 5 6 8 0 :0 1 2 3 4 5 0 :0 1 2 3 5 11 0 1 :0 4 5 11 0 1 :0 1 4 5 11 0 1 :0 3 4 5 11 0 1 :0 1 2 4 5 11 0 1 :0 2 3 4 5 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 7 8 9 10 :0 1 2 3 4 5 7 8 9 10 11 0 1 2 3 4 6 7 8 9 11 :0 1 2 3 4 5 6 8 9 10 11 0 1 2 3 4 7 8 9 :0 1 2 3 4 5 8 9 10 11 0 1 2 3 5 6 7 8 9 10 :0 2 3 4 5 6 7 8 9 10 11 0 1 2 3 5 6 7 8 10 :0 2 3 4 5 6 7 9 10 11 0 1 2 3 5 6 7 8 10 11 :0 1 2 3 4 5 6 7 9 10 11 0 1 2 3 5 7 8 9 10 :0 2 3 4 5 7 8 9 10 11 0 1 2 3 5 7 8 10 :0 2 3 4 5 7 9 10 11 0 1 2 3 5 7 8 10 :0 1 2 3 4 5 7 9 10 11 0 1 2 3 6 7 8 :0 2 3 4 5 6 9 10 11 0 1 2 3 6 7 8 9 :0 2 3 4 5 6 8 9 10 11 0 1 2 3 6 7 8 11 :0 1 2 3 4 5 6 9 10 11 0 1 2 4 5 6 7 8 9 11 :0 1 3 4 5 6 7 8 9 10 11 0 1 2 4 5 6 7 9 10 11 :0 1 2 3 4 5 6 7 8 10 11 0 1 2 4 5 6 7 9 11 :0 1 3 4 5 6 7 8 10 11 0 1 2 4 5 7 8 9 :0 1 3 4 5 7 8 9 10 11 0 1 2 4 5 7 9 :0 1 3 4 5 7 8 10 11 0 1 2 4 5 7 9 10 :0 1 2 3 4 5 7 8 10 11 0 1 2 4 6 7 8 9 11 :0 1 3 4 5 6 8 9 10 11 0 1 2 4 6 7 9 11 :0 1 2 3 4 5 6 8 10 11 0 1 2 5 6 7 :0 3 4 5 6 7 10 11 0 1 2 5 6 7 8 :0 3 4 5 6 7 9 10 11 0 1 2 5 6 7 8 9 :0 3 4 5 6 7 8 9 10 11 0 1 2 5 6 7 8 11 :0 1 3 4 5 6 7 9 10 11 0 1 2 5 6 7 9 :0 3 4 5 6 7 8 10 11 0 1 2 5 6 7 9 10 :0 2 3 4 5 6 7 8 10 11 0 1 2 5 6 7 10 :0 2 3 4 5 6 7 10 11 0 1 2 5 6 7 10 11 :0 1 2 3 4 5 6 7 10 11 0 1 2 5 6 7 11 :0 1 3 4 5 6 7 10 11 0 1 2 5 7 :0 3 4 5 7 10 11 0 1 2 5 7 :0 1 3 4 5 7 10 11 0 1 2 5 7 8 :0 3 4 5 7 9 10 11 0 1 2 5 7 8 :0 1 3 4 5 7 9 10 11 0 1 2 5 7 8 9 :0 3 4 5 7 8 9 10 11 0 1 2 5 7 9 :0 3 4 5 7 8 10 11 0 1 2 5 7 9 10 :0 2 3 4 5 7 8 10 11 0 1 2 5 7 10 :0 2 3 4 5 7 10 11 0 1 2 5 7 10 :0 1 2 3 4 5 7 10 11 0 1 2 6 7 :0 3 4 5 6 10 11 0 1 2 6 7 :0 2 3 4 5 6 10 11 0 1 2 6 7 8 :0 3 4 5 6 9 10 11 0 1 2 7 :0 3 4 5 10 11 0 1 2 7 :0 1 3 4 5 10 11 0 1 2 7 :0 2 3 4 5 10 11 0 1 2 7 8 :0 3 4 5 9 10 11 0 1 2 7 8 :0 1 3 4 5 9 10 11 0 1 2 7 9 :0 3 4 5 8 10 11 0 1 3 4 5 6 7 8 10 11 :0 1 2 4 5 6 7 8 9 10 11 0 1 3 4 5 6 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 11 0 1 3 4 5 6 8 10 11 :0 1 2 4 5 6 7 8 9 11 0 1 3 4 5 7 8 10 :0 1 2 4 5 7 8 9 10 11 0 1 3 4 5 8 9 10 :0 1 2 3 4 5 7 8 9 11 0 1 3 4 5 8 10 :0 1 2 4 5 7 8 9 11 0 1 3 4 6 7 8 11 :0 1 2 4 5 6 8 9 10 11 0 1 3 4 6 8 9 11 :0 1 2 3 4 5 6 8 9 11 0 1 3 5 6 7 8 10 :0 2 4 5 6 7 9 10 11 0 1 3 5 6 7 8 10 :0 2 4 5 6 7 8 9 10 11 0 1 3 5 6 7 8 10 11 :0 1 2 4 5 6 7 9 10 11 0 1 3 5 6 8 9 10 :0 2 3 4 5 6 7 8 9 11 0 1 3 5 6 8 10 :0 2 4 5 6 7 9 11 0 1 3 5 6 8 10 :0 2 3 4 5 6 7 9 11 0 1 3 5 6 8 10 :0 2 4 5 6 7 8 9 11 0 1 3 5 6 8 10 11 :0 1 2 4 5 6 7 9 11 0 1 3 5 6 8 10 11 :0 1 2 3 4 5 6 7 9 11 0 1 3 5 7 8 10 :0 2 4 5 7 9 10 11 0 1 3 5 7 8 10 :0 1 2 4 5 7 9 10 11 0 1 3 5 7 8 10 :0 2 4 5 7 8 9 10 11 0 1 3 5 8 9 10 :0 2 3 4 5 7 8 9 11 0 1 3 5 8 10 :0 2 4 5 7 9 11 0 1 3 5 8 10 :0 1 2 4 5 7 9 11 0 1 3 5 8 10 :0 2 3 4 5 7 9 11 0 1 3 5 8 10 :0 2 4 5 7 8 9 11 0 1 3 5 8 10 :0 1 2 3 4 5 7 9 11 0 1 3 6 7 8 :0 2 4 5 6 9 10 11 0 1 3 6 8 :0 2 4 5 6 9 11 0 1 3 8 :0 2 4 5 8 9 11 0 1 4 5 :0 1 4 5 7 8 11 0 1 4 5 6 7 8 11 :0 1 4 5 6 7 8 9 10 11 0 1 4 5 6 7 10 11 :0 1 2 4 5 6 7 8 10 11 0 1 4 5 6 7 11 :0 1 4 5 6 7 8 10 11 0 1 4 5 6 8 9 11 :0 1 3 4 5 6 7 8 9 11 0 1 4 5 6 8 11 :0 1 4 5 6 7 8 9 11 0 1 4 5 6 9 10 11 :0 1 2 3 4 5 6 7 8 11 0 1 4 5 6 9 11 :0 1 3 4 5 6 7 8 11 0 1 4 5 6 10 11 :0 1 2 4 5 6 7 8 11 0 1 4 5 6 11 :0 1 4 5 6 7 8 11 0 1 4 5 7 :0 1 4 5 7 8 10 11 0 1 4 5 7 8 :0 1 4 5 7 8 9 10 11 0 1 4 5 7 10 :0 1 2 4 5 7 8 10 11 0 1 4 5 8 :0 1 4 5 7 8 9 11 0 1 4 5 8 9 :0 1 3 4 5 7 8 9 11 0 1 4 5 9 :0 1 3 4 5 7 8 11 0 1 4 5 9 10 :0 1 2 3 4 5 7 8 11 0 1 4 5 10 :0 1 2 4 5 7 8 11 0 1 4 6 7 11 :0 1 4 5 6 8 10 11 0 1 4 6 11 :0 1 4 5 6 8 11 0 1 4 7 :0 1 4 5 8 10 11 0 1 4 8 :0 1 4 5 8 9 11 0 1 5 :0 4 5 7 11 0 1 5 :0 1 4 5 7 11 0 1 5 :0 3 4 5 7 11 0 1 5 :0 4 5 7 8 11 0 1 5 :0 1 3 4 5 7 11 0 1 5 6 :0 4 5 6 7 11 0 1 5 6 :0 3 4 5 6 7 11 0 1 5 6 :0 4 5 6 7 8 11 0 1 5 6 7 :0 4 5 6 7 10 11 0 1 5 6 7 :0 4 5 6 7 8 10 11 0 1 5 6 7 8 :0 4 5 6 7 9 10 11 0 1 5 6 7 8 :0 4 5 6 7 8 9 10 11 0 1 5 6 7 8 11 :0 1 4 5 6 7 9 10 11 0 1 5 6 7 10 :0 2 4 5 6 7 10 11 0 1 5 6 7 10 :0 2 4 5 6 7 8 10 11 0 1 5 6 7 10 11 :0 1 2 4 5 6 7 10 11 0 1 5 6 7 11 :0 1 4 5 6 7 10 11 0 1 5 6 8 :0 4 5 6 7 9 11 0 1 5 6 8 :0 3 4 5 6 7 9 11 0 1 5 6 8 9 :0 3 4 5 6 7 8 9 11 0 1 5 6 8 11 :0 1 4 5 6 7 9 11 0 1 5 6 8 11 :0 1 3 4 5 6 7 9 11 0 1 5 6 9 :0 3 4 5 6 7 8 11 0 1 5 6 9 10 :0 2 3 4 5 6 7 8 11 0 1 5 6 10 :0 2 4 5 6 7 11 0 1 5 6 10 :0 2 3 4 5 6 7 11 0 1 5 6 10 :0 2 4 5 6 7 8 11 0 1 5 6 10 11 :0 1 2 4 5 6 7 11 0 1 5 6 10 11 :0 1 2 3 4 5 6 7 11 0 1 5 6 11 :0 1 4 5 6 7 11 0 1 5 6 11 :0 1 3 4 5 6 7 11 0 1 5 7 :0 4 5 7 10 11 0 1 5 7 :0 1 4 5 7 10 11 0 1 5 7 :0 4 5 7 8 10 11 0 1 5 7 8 :0 4 5 7 9 10 11 0 1 5 7 8 :0 1 4 5 7 9 10 11 0 1 5 7 8 :0 4 5 7 8 9 10 11 0 1 5 7 10 :0 2 4 5 7 10 11 0 1 5 7 10 :0 1 2 4 5 7 10 11 0 1 5 7 10 :0 2 4 5 7 8 10 11 0 1 5 8 :0 4 5 7 9 11 0 1 5 8 :0 1 4 5 7 9 11 0 1 5 8 :0 3 4 5 7 9 11 0 1 5 8 :0 4 5 7 8 9 11 0 1 5 8 :0 1 3 4 5 7 9 11 0 1 5 8 9 :0 3 4 5 7 8 9 11 0 1 5 9 :0 3 4 5 7 8 11 0 1 5 9 10 :0 2 3 4 5 7 8 11 0 1 5 10 :0 2 4 5 7 11 0 1 5 10 :0 1 2 4 5 7 11 0 1 5 10 :0 2 3 4 5 7 11 0 1 5 10 :0 2 4 5 7 8 11 0 1 5 10 :0 1 2 3 4 5 7 11 0 1 6 :0 2 4 5 6 11 0 1 6 :0 3 4 5 6 11 0 1 6 :0 2 3 4 5 6 11 0 1 6 :0 2 4 5 6 8 11 0 1 6 7 :0 4 5 6 10 11 0 1 6 7 :0 2 4 5 6 10 11 0 1 6 7 8 :0 4 5 6 9 10 11 0 1 6 7 11 :0 1 4 5 6 10 11 0 1 6 8 :0 3 4 5 6 9 11 0 1 6 8 11 :0 1 4 5 6 9 11 0 1 6 9 :0 3 4 5 6 8 11 0 1 6 11 :0 1 2 4 5 6 11 0 1 7 :0 4 5 10 11 0 1 7 :0 1 4 5 10 11 0 1 7 :0 2 4 5 10 11 0 1 7 :0 2 4 5 8 10 11 0 1 8 9 :0 3 4 5 8 9 11 0 2 3 4 5 6 7 9 10 11 :0 1 2 3 5 6 7 8 9 10 11 0 2 3 4 5 7 8 9 10 :0 1 2 3 4 5 7 8 9 10 0 2 3 4 5 7 8 9 10 11 :0 1 2 3 4 5 6 7 8 9 10 0 2 3 4 5 7 9 10 :0 1 2 3 5 7 8 9 10 0 2 3 4 5 7 9 10 :0 1 2 3 5 7 8 9 10 11 0 2 3 4 5 7 9 10 11 :0 1 2 3 5 6 7 8 9 10 0 2 3 4 6 7 9 11 :0 1 2 3 5 6 8 9 10 11 0 2 3 4 7 8 9 11 :0 1 2 3 4 5 6 8 9 10 0 2 3 5 6 7 9 10 :0 2 3 5 6 7 8 9 10 11 0 2 3 5 6 7 10 :0 2 3 5 6 7 9 10 11 0 2 3 5 6 7 10 11 :0 1 2 3 5 6 7 9 10 11 0 2 3 5 7 8 9 10 :0 2 3 4 5 7 8 9 10 0 2 3 5 7 8 9 10 :0 2 3 4 5 6 7 8 9 10 0 2 3 5 7 8 10 :0 2 3 4 5 7 9 10 0 2 3 5 7 8 10 :0 1 2 3 4 5 7 9 10 0 2 3 5 7 8 10 :0 2 3 4 5 6 7 9 10 0 2 3 5 7 8 10 11 :0 1 2 3 4 5 6 7 9 10 0 2 3 5 7 9 10 :0 2 3 5 7 8 9 10 0 2 3 5 7 9 10 :0 2 3 5 6 7 8 9 10 0 2 3 5 7 9 10 :0 2 3 5 7 8 9 10 11 0 2 3 5 7 10 :0 2 3 5 7 9 10 0 2 3 5 7 10 :0 1 2 3 5 7 9 10 0 2 3 5 7 10 :0 2 3 5 6 7 9 10 0 2 3 5 7 10 :0 2 3 5 7 9 10 11 0 2 3 5 7 10 :0 1 2 3 5 7 9 10 11 0 2 3 5 7 10 11 :0 1 2 3 5 6 7 9 10 0 2 3 6 7 9 :0 2 3 5 6 8 9 10 11 0 2 3 7 :0 1 2 3 5 9 10 0 2 3 7 :0 2 3 5 6 9 10 0 2 3 7 :0 2 3 5 9 10 11 0 2 3 7 8 :0 2 3 4 5 9 10 0 2 3 7 8 :0 2 3 4 5 6 9 10 0 2 3 7 8 11 :0 1 2 3 4 5 6 9 10 0 2 3 7 9 :0 2 3 5 8 9 10 0 2 3 7 9 :0 2 3 5 8 9 10 11 0 2 4 5 6 7 9 10 11 :0 1 2 3 5 6 7 8 10 11 0 2 4 5 6 7 9 11 :0 1 3 5 6 7 8 9 10 11

order	origin	root set	chord type (as pcset)
1	0	0	0 5 = 0: 0 5 = 5: 0 7

2	5	0 5	0 = 0: 0
1	5	5	0 7 = 0: 0 7 = 7: 0 5

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