Chord Type: 0 2 3 5 7 9 10

0 2 3 5 7 9 10 = dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation)

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Chord Type: 0 2 3 5 7 9 10

Chord Type Fun Facts 0 2 3 5 7 9 10 Subset of Dorian Mode (0 2 3 5 7 9 10) Subset of Dorian Blues Scale (0 2 3 5 6 7 9 10) Diamorphic Modal System Fun Facts 0 1 3 5 6 8 10 Subset of Diatonic Modal System Inversionally Symmetrical Subset of Dorian Blues Scale Harmonic adjacency = 1 (maximum). Melodic adjacency = 0 (minimum). General Statistics Cardinality: 7 Jordan Number: 7-62 Forte Number: 7-35 Forte Prime Form: [0,1,3,5,6,8,10] Zeitler Scale Name: Dorian Ian Ring's Scale Page 1709 Root Reference: 0 2 3 5 7 9 10 Tone Stacking: 0 2 1 2 2 2 1 Interval Stacking: 2 1 2 2 2 1 2 Binary: 1 0 1 1 0 1 0 1 0 1 1 0 Decimal Value: 1709 Interval Vector: 2 5 4 3 6 1 Inversional Symmetry: yes (axes of symmetry: 0 6) Transpositional Symmetry: no Melodic Adjacency (0-1): 0.000 Harmonic Adjacency (0-1): 1.000 Modal-system-invariant under multiplication by: 1 11 Modal System Balanced: no Diachromatic Family: 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 5 6 8 10 = locrian, mb13b5b9, 7 in 4ths 0 1 3 5 6 8 11 = mMb13b5b9 0 1 3 5 6 9 10 = m13b5b9, oriental 0 1 3 5 6 9 11 = mM13b5b9 0 1 3 5 6 10 11 = mM#13b5b9 0 1 3 5 7 8 10 = phrygian, mb13b9, ousak, pelog, In, Hanumatodi, bhairavi 0 1 3 5 7 8 11 = mMb13b9, Neapolitan min., harm. phrygian, Dhenuka 0 1 3 5 7 9 10 = m13b9, phrygidorian, assyrian, Natakapriya 0 1 3 5 7 9 11 = mM13b9, Neapolitan maj., phrygian maj., Kokilapriya 0 1 3 5 7 10 11 = mM#13b9, Rupavati 0 1 3 5 8 9 10 = m13#5b9 0 1 3 5 8 9 11 = mM13#5b9 0 1 3 5 8 10 11 = m#13#5b9 0 1 3 6 7 8 10 = mb13b9#11, full pelog, Bhavapriya 0 1 3 6 7 8 11 = mMb13b9#11, Shubhapantuvarali, todi 0 1 3 6 7 9 10 = m13b9#11, Shadvidamargini 0 1 3 6 7 9 11 = mM13b9#11, Suvarnangi 0 1 3 6 7 10 11 = mM#13b9#11, Divyamani 0 1 3 6 8 9 10 = m13b9#11 0 1 3 6 8 9 11 = mM13b9#11 0 1 3 6 8 10 11 = m#13b9#11 0 1 4 5 6 8 10 = 7b13#5b9#11 0 1 4 5 6 8 11 = M7b13#5b9#11, Persian 0 1 4 5 6 9 10 = 13b5b9, oriental, tsinganikos, Persian, tsinganikos 0 1 4 5 6 9 11 = M13b5b9 0 1 4 5 6 10 11 = M#13b5b9 0 1 4 5 7 8 10 = 7b13b9, Spanish Gypsy, phryg. dom., Freygish, Hijaz, Homayoun, Vakulabharanam 0 1 4 5 7 8 11 = M#13b9, double harm. maj., hijazkiar, Mayamalavagowla, bhairav 0 1 4 5 7 9 10 = 13b9, neapolitan mixolydian, Chakravakam 0 1 4 5 7 9 11 = M13b9, Suryakantam 0 1 4 5 7 10 11 = M#13b9, Hatakambari 0 1 4 5 8 9 10 = 13#5b9 0 1 4 5 8 9 11 = M13#5b9 0 1 4 5 8 10 11 = M#13#5b5, enigmatic ascending 0 1 4 6 7 8 10 = 7b13b9#11, Naamanarayani 0 1 4 6 7 8 11 = M#13b9#11, Kaamavardini, purvi 0 1 4 6 7 9 10 = 13b9#11, Ramapriya 0 1 4 6 7 9 11 = M13b9#11, Gamanasrama, marwa 0 1 4 6 7 10 11 = M#13b9#11, Vishwambari 0 1 4 6 8 9 10 = 13#4b9#11 0 1 4 6 8 9 11 = M13#5b9#11 0 1 4 6 8 10 11 = M#13#5b9#11, enigmatic ascending 0 2 3 5 6 8 10 = 7b13b5, aeolocrian, half-dim. scale, min. locr. 0 2 3 5 6 8 11 = mMb13b5, locrian min. 0 2 3 5 6 9 10 = m13b5, doric locrian, kiordi asc. 0 2 3 5 6 9 11 = mM13#11 0 2 3 5 6 10 11 = mM#13 0 2 3 5 7 8 10 = aeolian, mb13, kiordi desc., Natabhairavi, asavari 0 2 3 5 7 8 11 = mMb13, harm. min., Keeravani ->0 2 3 5 7 9 10 = dorian, m13, ritsu, tomora mesengo, Kharaharapriya, khafi, 7TET, Thai 0 2 3 5 7 9 11 = mel. min., mM13, jazz min., Gourimanohari 0 2 3 5 7 10 11 = mM#13, Varunapriya 0 2 3 5 8 9 10 = m13#5 0 2 3 5 8 9 11 = mM13#5 0 2 3 5 8 10 11 = mMb13 0 2 3 6 7 8 10 = mb13#11, Gypsy, Hungarian min. I, Aeolean #4, Shanmukhapriya 0 2 3 6 7 8 11 = mMb13#11, hungarian/gypsy min., Egypt. scale, niaventi, Simhendramadhyamam 0 2 3 6 7 9 10 = m13#11, Misheberak, Ukrainian Dor., souzinak, Romanian min., Hemavati 0 2 3 6 7 9 11 = mM13#11, lydian dim., Dharmavati 0 2 3 6 7 10 11 = mM#13#11, Neetimati, 2367AB & m7b5, 2367AB & m7 0 2 3 6 8 9 10 = m13#5#11 0 2 3 6 8 9 11 = mM13#5#11 0 2 3 6 8 10 11 = mM#13#5#11 0 2 4 5 6 8 10 = 7b13b5, Major Locrian 0 2 4 5 6 8 11 = M7b13b5 0 2 4 5 6 9 10 = 13b5 0 2 4 5 6 9 11 = M13b5 0 2 4 5 6 10 11 = M#13b5 0 2 4 5 7 8 10 = 7b13, myxaeolian, Hindu, mel. maj. 0 2 4 5 7 8 11 = Mb13, Harmonic maj., Sarasangi, suzinak 0 2 4 5 7 9 10 = mixolydian, rast desc., jiharkah, Harikambhoji, khamaj 0 2 4 5 7 9 11 = maj. scale, ionian, M13, rast ascending, silaba, bilawal, Dheerasankarabaranam 0 2 4 5 7 10 11 = M#13, Naganandini 0 2 4 5 8 9 10 = 13#5 0 2 4 5 8 9 11 = M13#5 0 2 4 5 8 10 11 = M#13#5 0 2 4 6 7 8 10 = 7b13#11, lydian min., Rishabhapriya 0 2 4 6 7 8 11 = Mb13#11, Latangi 0 2 4 6 7 9 10 = 13#11, lydian dominant, lydomyxian, overtone, Vachaspati 0 2 4 6 7 9 11 = M13#11, lydian, 7 in 5ths, sauta, Mechakalyani, kalyan 0 2 4 6 7 10 11 = M#13#11, Chitrambari 0 2 4 6 8 9 10 = 13#5#11 0 2 4 6 8 9 11 = M13#5#11, lydian aug. 0 2 4 6 8 10 11 = M#11, leading whole tone 0 3 4 5 6 8 10 = 7b13b5#9 0 3 4 5 6 8 11 = M7b13b5#9 0 3 4 5 6 9 10 = 13b5#9 0 3 4 5 6 9 11 = M13b5#9 0 3 4 5 6 10 11 = M#13b5#9 0 3 4 5 7 8 10 = 7b13#9, segiah, Ragavardhini 0 3 4 5 7 8 11 = M7b13#9, houzam, Gangeyabhushani 0 3 4 5 7 9 10 = 13#9, Vagadheeswari, mixolydian #2 0 3 4 5 7 9 11 = M13#9, Shulini 0 3 4 5 7 10 11 = M#13#9, Chalanata 0 3 4 5 8 9 10 = 13#5#9 0 3 4 5 8 9 11 = M13#5#9, ionian #2 #5 0 3 4 5 8 10 11 = M7#13#5#9 0 3 4 6 7 8 10 = mb13b5#9, Jyoti swarupini 0 3 4 6 7 8 11 = Mb13b5#9, Dhatuvardani 0 3 4 6 7 9 10 = 13#9#11, Hungarian maj. I, Naasikabhushini 0 3 4 6 7 9 11 = M13#9#11, Hungarian maj. II, mustar, periaiotikos, Kosalamu 0 3 4 6 7 10 11 = M#11#5#9, Rasikapriya 0 3 4 6 8 9 10 = 13#5#9 0 3 4 6 8 9 11 = mM13#5#9 0 3 4 6 8 10 11 = mM#13#5#9#11 All Transpositions of Chord Type: +0= 0 2 3 5 7 9 10 |dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) +1= 1 3 4 6 8 10 11 | +2= 0 2 4 5 7 9 11 |major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that +3= 0 1 3 5 6 8 10 |locrian = mb13b5b9 = 7-note 4ths stack +4= 1 2 4 6 7 9 11 | +5= 0 2 3 5 7 8 10 |aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that +6= 1 3 4 6 8 9 11 | +7= 0 2 4 5 7 9 10 |mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that +8= 1 3 5 6 8 10 11 | +9= 0 2 4 6 7 9 11 |lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that +10= 0 1 3 5 7 8 10 |phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that +11= 1 2 4 6 8 9 11 | Modes of Chord Type: (mode 0) 0: 0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) (mode 1) 2: 0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that (mode 2) 3: 0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that (mode 3) 5: 0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that (mode 4) 7: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that (mode 5) 9: 0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack (mode 6) 10: 0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that Modes of Chord Type Sorted by Rootedness: 1.525(mode 2)3:0 2 4 6 7 9 11 |lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that 1.275(mode 6)10:0 2 4 5 7 9 11 |major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that 1.267(mode 3)5:0 2 4 5 7 9 10 |mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that 1.000(mode 0)0:0 2 3 5 7 9 10 |dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) .667(mode 4)7:0 2 3 5 7 8 10 |aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that .658(mode 1)2:0 1 3 5 7 8 10 |phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that -.092(mode 5)9:0 1 3 5 6 8 10 |locrian = mb13b5b9 = 7-note 4ths stack Inversion at 0: 0 2 3 5 7 9 10 (mode 0) 0: 0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) (mode 1) 2: 0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that (mode 2) 3: 0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that (mode 3) 5: 0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that (mode 4) 7: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that (mode 5) 9: 0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack (mode 6) 10: 0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that Times 7: 0 1 2 3 9 10 11 (mode 0) 0: 0 1 2 3 9 10 11 | (mode 1) 1: 0 1 2 8 9 10 11 | (mode 2) 2: 0 1 7 8 9 10 11 | (mode 3) 3: 0 6 7 8 9 10 11 | (mode 4) 9: 0 1 2 3 4 5 6 | 1st 7 notes of chromatic scale (mode 5) 10: 0 1 2 3 4 5 11 | (mode 6) 11: 0 1 2 3 4 10 11 | Times 5: 0 1 2 3 9 10 11 (mode 0) 0: 0 1 2 3 9 10 11 | (mode 1) 1: 0 1 2 8 9 10 11 | (mode 2) 2: 0 1 7 8 9 10 11 | (mode 3) 3: 0 6 7 8 9 10 11 | (mode 4) 9: 0 1 2 3 4 5 6 | 1st 7 notes of chromatic scale (mode 5) 10: 0 1 2 3 4 5 11 | (mode 6) 11: 0 1 2 3 4 10 11 | Modal System: 0 1 3 5 6 8 10 from root(s) 9 | "open septachord modal system" Modes of Modal System: (mode 0) 0: 0 1 3 5 6 8 10 | locrian = mb13b5b9 = 7-note 4ths stack (mode 1) 1: 0 2 4 5 7 9 11 | major scale = ionian = M13 = rast ascending = silaba = mela 29 Dheerasankarabaranam = bilawal that (mode 2) 3: 0 2 3 5 7 9 10 | dorian = m13 = ritsu = tomora mesengo = mela 22 Kharaharapriya = khafi that = Thai 7-tone scale (approximation) (mode 3) 5: 0 1 3 5 7 8 10 | phrygian = mb13b9 = ousak = yishtabach = pelog, selisir, tembung, sunaren, baro, pengenter (MSOTW) = In scale = mela 8 Hanumatodi = bhairavi that (mode 4) 6: 0 2 4 6 7 9 11 | lydian = M13#11 = 7-note 5ths stack = sauta = mela 65 Mechakalyani = kalyan that (mode 5) 8: 0 2 4 5 7 9 10 | mixolydian = 13 = rast descending = jiharkah = mela 28 Harikambhoji = khamaj that (mode 6) 10: 0 2 3 5 7 8 10 | aeolian mode = mb13 = kiordi descending = mela 20 Natabhairavi = asavari that Complement: 1 4 6 8 11 (mode 0) 1: 0 3 5 7 10 | minor pentatonic = m11 no 9th = minyo = batti minor = Thai mode 4 (MSOTW) (mode 1) 4: 0 2 4 7 9 | major pentatonic = 5-note 5ths stack = ryo pentatonic = tizita major (mode 2) 6: 0 2 5 7 10 | 11 no 3rd = yosenpo (yo) ascending = yematebela wofe = Thai mode 3 (MSOTW) = slendro (MSOFW) (mode 3) 8: 0 3 5 8 10 | (mode 4) 11: 0 2 5 7 9 | yo scale primary tones = ritsu pentatonic = yosenpo (yo) descending = Thai mode 2 (MSOTW) = ambassel major All but the root (subchroma complement of 0): 2 3 5 7 9 10 (mode 0) 2: 0 1 3 5 7 8 | (mode 1) 3: 0 2 4 6 7 11 | M7#11 (mode 2) 5: 0 2 4 5 9 10 | (mode 3) 7: 0 2 3 7 8 10 | mb13 no 11th (mode 4) 9: 0 1 5 6 8 10 | (mode 5) 10: 0 4 5 7 9 11 | M13 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) Dorian mode - Wikipedia Thirteenth - Wikipedia Kharaharapriya - 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: 3 9 (mode 0) 3: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th (mode 1) 9: 0 6 | tritone = augmented 4th = diminished 5th = augmented 11th = diminished 12th Alt-Dechromaticised but Keep 0 0 3 9 (mode 0) 0: 0 3 9 | m6 no 5th (mode 1) 3: 0 6 9 | (mode 2) 9: 0 3 6 | dim. = diminished triad = diminished chord Alt-Dechromaticised but Keep 0 7 0 3 7 9 (mode 0) 0: 0 3 7 9 | m6 = Tristan chord (mode 1) 3: 0 4 6 9 | (mode 2) 7: 0 2 5 8 | (mode 3) 9: 0 3 6 10 | m7b5 = Tristan chord = half-diminished 7th chord Alt-Dechromaticised but Keep 0 3 4 7 0 3 7 9 (mode 0) 0: 0 3 7 9 | m6 = Tristan chord (mode 1) 3: 0 4 6 9 | (mode 2) 7: 0 2 5 8 | (mode 3) 9: 0 3 6 10 | m7b5 = Tristan chord = half-diminished 7th chord Chromaticizations chromaticized: (mode 0) 0: 0 2 3 5 6 7 9 10 | (mode 1) 2: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 2) 3: 0 2 3 4 6 7 9 11 | (mode 3) 5: 0 1 2 4 5 7 9 10 | (mode 4) 6: 0 1 3 4 6 8 9 11 | (mode 5) 7: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 6) 9: 0 1 3 5 6 8 9 10 | (mode 7) 10: 0 2 4 5 7 8 9 11 | bebop major chromaticized keep 0: (mode 0) 0: 0 2 3 5 6 7 9 10 | (mode 1) 2: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 2) 3: 0 2 3 4 6 7 9 11 | (mode 3) 5: 0 1 2 4 5 7 9 10 | (mode 4) 6: 0 1 3 4 6 8 9 11 | (mode 5) 7: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 6) 9: 0 1 3 5 6 8 9 10 | (mode 7) 10: 0 2 4 5 7 8 9 11 | bebop major (mode 0) 0: 0 2 3 5 7 9 10 11 | dorian & melodic minor (mode 1) 2: 0 1 3 5 7 8 9 10 | (mode 2) 3: 0 2 4 6 7 8 9 11 | (mode 3) 5: 0 2 4 5 6 7 9 10 | (mode 4) 7: 0 2 3 4 5 7 8 10 | (mode 5) 9: 0 1 2 3 5 6 8 10 | (mode 6) 10: 0 1 2 4 5 7 9 11 | (mode 7) 11: 0 1 3 4 6 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 | Bebop Dorian scale = mixodorian scale (mode 1) 2: 0 1 2 3 5 7 8 10 | aeophrygian scale (mode 2) 3: 0 1 2 4 6 7 9 11 | 8-note 5ths stack (mode 3) 4: 0 1 3 5 6 8 10 11 | (mode 4) 5: 0 2 4 5 7 9 10 11 | bebop dominant = iomixolydian (mode 5) 7: 0 2 3 5 7 8 9 10 | aeodorian scale (mode 6) 9: 0 1 3 5 6 7 8 10 | (mode 7) 10: 0 2 4 5 6 7 9 11 | iolydian scale (mode 0) 0: 0 1 2 3 5 7 9 10 | (mode 1) 1: 0 1 2 4 6 8 9 11 | (mode 2) 2: 0 1 3 5 7 8 10 11 | (mode 3) 3: 0 2 4 6 7 9 10 11 | (mode 4) 5: 0 2 4 5 7 8 9 10 | mela 25 Mararanjani (mode 5) 7: 0 2 3 5 6 7 8 10 | Aeolean blues (mode 6) 9: 0 1 3 4 5 6 8 10 | (mode 7) 10: 0 2 3 4 5 7 9 11 | ionian & melodic minor (mode 0) 0: 0 2 3 5 6 7 9 10 11 | 2367AB & melodic minor (mode 1) 2: 0 1 3 4 5 7 8 9 10 | 014589 & min. pentatonic (mode 2) 3: 0 2 3 4 6 7 8 9 11 | lydian & augmented scale (mode 3) 5: 0 1 2 4 5 6 7 9 10 | 12569A & dom. 7 (mode 4) 6: 0 1 3 4 5 6 8 9 11 | (mode 5) 7: 0 2 3 4 5 7 8 10 11 | aeolean & augmented scale = 03478B & bebop minor (mode 6) 9: 0 1 2 3 5 6 8 9 10 | (mode 7) 10: 0 1 2 4 5 7 8 9 11 | (mode 8) 11: 0 1 3 4 6 7 8 10 11 | (mode 0) 0: 0 1 2 3 5 6 7 9 10 | 12569A & m7 = 12569A & min. pentatonic (mode 1) 1: 0 1 2 4 5 6 8 9 11 | (mode 2) 2: 0 1 3 4 5 7 8 10 11 | phrygian & augmented scale (mode 3) 3: 0 2 3 4 6 7 9 10 11 | (mode 4) 5: 0 1 2 4 5 7 8 9 10 | (mode 5) 6: 0 1 3 4 6 7 8 9 11 | (mode 6) 7: 0 2 3 5 6 7 8 10 11 | 2367AB & bebop minor (mode 7) 9: 0 1 3 4 5 6 8 9 10 | (mode 8) 10: 0 2 3 4 5 7 8 9 11 | ionian & harmonic minor = ionian & augmented scale = melodic minor & augmented scale chromaticized keep 0 7: (mode 0) 0: 0 2 3 5 6 7 9 10 | (mode 1) 2: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 2) 3: 0 2 3 4 6 7 9 11 | (mode 3) 5: 0 1 2 4 5 7 9 10 | (mode 4) 6: 0 1 3 4 6 8 9 11 | (mode 5) 7: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 6) 9: 0 1 3 5 6 8 9 10 | (mode 7) 10: 0 2 4 5 7 8 9 11 | bebop major (mode 0) 0: 0 2 3 5 7 9 10 11 | dorian & melodic minor (mode 1) 2: 0 1 3 5 7 8 9 10 | (mode 2) 3: 0 2 4 6 7 8 9 11 | (mode 3) 5: 0 2 4 5 6 7 9 10 | (mode 4) 7: 0 2 3 4 5 7 8 10 | (mode 5) 9: 0 1 2 3 5 6 8 10 | (mode 6) 10: 0 1 2 4 5 7 9 11 | (mode 7) 11: 0 1 3 4 6 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 | Bebop Dorian scale = mixodorian scale (mode 1) 2: 0 1 2 3 5 7 8 10 | aeophrygian scale (mode 2) 3: 0 1 2 4 6 7 9 11 | 8-note 5ths stack (mode 3) 4: 0 1 3 5 6 8 10 11 | (mode 4) 5: 0 2 4 5 7 9 10 11 | bebop dominant = iomixolydian (mode 5) 7: 0 2 3 5 7 8 9 10 | aeodorian scale (mode 6) 9: 0 1 3 5 6 7 8 10 | (mode 7) 10: 0 2 4 5 6 7 9 11 | iolydian scale (mode 0) 0: 0 1 2 3 5 7 9 10 | (mode 1) 1: 0 1 2 4 6 8 9 11 | (mode 2) 2: 0 1 3 5 7 8 10 11 | (mode 3) 3: 0 2 4 6 7 9 10 11 | (mode 4) 5: 0 2 4 5 7 8 9 10 | mela 25 Mararanjani (mode 5) 7: 0 2 3 5 6 7 8 10 | Aeolean blues (mode 6) 9: 0 1 3 4 5 6 8 10 | (mode 7) 10: 0 2 3 4 5 7 9 11 | ionian & melodic minor (mode 0) 0: 0 2 3 5 6 7 9 10 11 | 2367AB & melodic minor (mode 1) 2: 0 1 3 4 5 7 8 9 10 | 014589 & min. pentatonic (mode 2) 3: 0 2 3 4 6 7 8 9 11 | lydian & augmented scale (mode 3) 5: 0 1 2 4 5 6 7 9 10 | 12569A & dom. 7 (mode 4) 6: 0 1 3 4 5 6 8 9 11 | (mode 5) 7: 0 2 3 4 5 7 8 10 11 | aeolean & augmented scale = 03478B & bebop minor (mode 6) 9: 0 1 2 3 5 6 8 9 10 | (mode 7) 10: 0 1 2 4 5 7 8 9 11 | (mode 8) 11: 0 1 3 4 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 11 | iodorian scale = mixolydian & melodic minor (mode 1) 2: 0 1 2 3 5 7 8 9 10 | phrygidorian scale (mode 2) 3: 0 1 2 4 6 7 8 9 11 | 9-note 5ths stack (mode 3) 4: 0 1 3 5 6 7 8 10 11 | (mode 4) 5: 0 2 4 5 6 7 9 10 11 | lydiomixlydian scale = ryo scale with all secondary tones (mode 5) 7: 0 2 3 4 5 7 8 9 10 | mixaeolean (mode 6) 9: 0 1 2 3 5 6 7 8 10 | (mode 7) 10: 0 1 2 4 5 6 7 9 11 | (mode 8) 11: 0 1 3 4 5 6 8 10 11 | (mode 0) 0: 0 1 2 3 5 6 7 9 10 | 12569A & m7 = 12569A & min. pentatonic (mode 1) 1: 0 1 2 4 5 6 8 9 11 | (mode 2) 2: 0 1 3 4 5 7 8 10 11 | phrygian & augmented scale (mode 3) 3: 0 2 3 4 6 7 9 10 11 | (mode 4) 5: 0 1 2 4 5 7 8 9 10 | (mode 5) 6: 0 1 3 4 6 7 8 9 11 | (mode 6) 7: 0 2 3 5 6 7 8 10 11 | 2367AB & bebop minor (mode 7) 9: 0 1 3 4 5 6 8 9 10 | (mode 8) 10: 0 2 3 4 5 7 8 9 11 | ionian & harmonic minor = ionian & augmented scale = melodic minor & augmented scale chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 5 6 7 9 10 | (mode 1) 2: 0 1 3 4 5 7 8 10 | 8-tone Spanish phrygian = Flamenco mode (mode 2) 3: 0 2 3 4 6 7 9 11 | (mode 3) 5: 0 1 2 4 5 7 9 10 | (mode 4) 6: 0 1 3 4 6 8 9 11 | (mode 5) 7: 0 2 3 5 7 8 10 11 | Bebop harmonic minor = aeolean & harmonic minor (mode 6) 9: 0 1 3 5 6 8 9 10 | (mode 7) 10: 0 2 4 5 7 8 9 11 | bebop major (mode 0) 0: 0 2 3 5 7 9 10 11 | dorian & melodic minor (mode 1) 2: 0 1 3 5 7 8 9 10 | (mode 2) 3: 0 2 4 6 7 8 9 11 | (mode 3) 5: 0 2 4 5 6 7 9 10 | (mode 4) 7: 0 2 3 4 5 7 8 10 | (mode 5) 9: 0 1 2 3 5 6 8 10 | (mode 6) 10: 0 1 2 4 5 7 9 11 | (mode 7) 11: 0 1 3 4 6 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 | Bebop Dorian scale = mixodorian scale (mode 1) 2: 0 1 2 3 5 7 8 10 | aeophrygian scale (mode 2) 3: 0 1 2 4 6 7 9 11 | 8-note 5ths stack (mode 3) 4: 0 1 3 5 6 8 10 11 | (mode 4) 5: 0 2 4 5 7 9 10 11 | bebop dominant = iomixolydian (mode 5) 7: 0 2 3 5 7 8 9 10 | aeodorian scale (mode 6) 9: 0 1 3 5 6 7 8 10 | (mode 7) 10: 0 2 4 5 6 7 9 11 | iolydian scale (mode 0) 0: 0 1 2 3 5 7 9 10 | (mode 1) 1: 0 1 2 4 6 8 9 11 | (mode 2) 2: 0 1 3 5 7 8 10 11 | (mode 3) 3: 0 2 4 6 7 9 10 11 | (mode 4) 5: 0 2 4 5 7 8 9 10 | mela 25 Mararanjani (mode 5) 7: 0 2 3 5 6 7 8 10 | Aeolean blues (mode 6) 9: 0 1 3 4 5 6 8 10 | (mode 7) 10: 0 2 3 4 5 7 9 11 | ionian & melodic minor (mode 0) 0: 0 2 3 5 6 7 9 10 11 | 2367AB & melodic minor (mode 1) 2: 0 1 3 4 5 7 8 9 10 | 014589 & min. pentatonic (mode 2) 3: 0 2 3 4 6 7 8 9 11 | lydian & augmented scale (mode 3) 5: 0 1 2 4 5 6 7 9 10 | 12569A & dom. 7 (mode 4) 6: 0 1 3 4 5 6 8 9 11 | (mode 5) 7: 0 2 3 4 5 7 8 10 11 | aeolean & augmented scale = 03478B & bebop minor (mode 6) 9: 0 1 2 3 5 6 8 9 10 | (mode 7) 10: 0 1 2 4 5 7 8 9 11 | (mode 8) 11: 0 1 3 4 6 7 8 10 11 | (mode 0) 0: 0 2 3 4 5 7 9 10 11 | iodorian scale = mixolydian & melodic minor (mode 1) 2: 0 1 2 3 5 7 8 9 10 | phrygidorian scale (mode 2) 3: 0 1 2 4 6 7 8 9 11 | 9-note 5ths stack (mode 3) 4: 0 1 3 5 6 7 8 10 11 | (mode 4) 5: 0 2 4 5 6 7 9 10 11 | lydiomixlydian scale = ryo scale with all secondary tones (mode 5) 7: 0 2 3 4 5 7 8 9 10 | mixaeolean (mode 6) 9: 0 1 2 3 5 6 7 8 10 | (mode 7) 10: 0 1 2 4 5 6 7 9 11 | (mode 8) 11: 0 1 3 4 5 6 8 10 11 | (mode 0) 0: 0 1 2 3 5 6 7 9 10 | 12569A & m7 = 12569A & min. pentatonic (mode 1) 1: 0 1 2 4 5 6 8 9 11 | (mode 2) 2: 0 1 3 4 5 7 8 10 11 | phrygian & augmented scale (mode 3) 3: 0 2 3 4 6 7 9 10 11 | (mode 4) 5: 0 1 2 4 5 7 8 9 10 | (mode 5) 6: 0 1 3 4 6 7 8 9 11 | (mode 6) 7: 0 2 3 5 6 7 8 10 11 | 2367AB & bebop minor (mode 7) 9: 0 1 3 4 5 6 8 9 10 | (mode 8) 10: 0 2 3 4 5 7 8 9 11 | ionian & harmonic minor = ionian & augmented scale = melodic minor & augmented scale alt-chromaticized: N/A alt-chromaticized keep 0: N/A alt-chromaticized keep 0 7: N/A alt-chromaticized keep 0 3 4 7: N/A Bright Layer Decomposition order origin root set chord type (as pcset) 4 0 0 2 7 9 0 3 = 0: 0 3 = 3: 0 9 4 0 0 2 7 9 0 3 5 = 0: 0 3 5 = 3: 0 2 9 = 5: 0 7 10 4 0 0 2 7 9 0 3 10 = 0: 0 3 10 = 3: 0 7 9 = 10: 0 2 5 4 0 0 2 7 9 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 3 0 0 2 7 0 3 7 = 0: 0 3 7 = 3: 0 4 9 = 7: 0 5 8 3 0 0 2 7 0 3 5 7 = 0: 0 3 5 7 = 3: 0 2 4 9 = 5: 0 2 7 10 = 7: 0 5 8 10 3 0 0 2 7 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 0 2 7 0 3 5 7 10 = 0: 0 3 5 7 10 = 3: 0 2 4 7 9 = 5: 0 2 5 7 10 = 7: 0 3 5 8 10 = 10: 0 2 5 7 9 2 0 0 7 0 2 3 5 = 0: 0 2 3 5 = 2: 0 1 3 10 = 3: 0 2 9 11 = 5: 0 7 9 10 2 0 0 7 0 2 3 10 = 0: 0 2 3 10 = 2: 0 1 8 10 = 3: 0 7 9 11 = 10: 0 2 4 5 2 0 0 7 0 2 3 5 7 = 0: 0 2 3 5 7 = 2: 0 1 3 5 10 = 3: 0 2 4 9 11 = 5: 0 2 7 9 10 = 7: 0 5 7 8 10 2 0 0 7 0 2 3 7 10 = 0: 0 2 3 7 10 = 2: 0 1 5 8 10 = 3: 0 4 7 9 11 = 7: 0 3 5 7 8 = 10: 0 2 4 5 9 2 0 0 7 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 1 0 0 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 2 2 2 9 0 1 3 5 = 0: 0 1 3 5 = 1: 0 2 4 11 = 3: 0 2 9 10 = 5: 0 7 8 10 2 2 2 9 0 1 3 10 = 0: 0 1 3 10 = 1: 0 2 9 11 = 3: 0 7 9 10 = 10: 0 2 3 5 1 2 2 0 1 3 5 7 8 10 = 0: 0 1 3 5 7 8 10 = 1: 0 2 4 6 7 9 11 = 3: 0 2 4 5 7 9 10 = 5: 0 2 3 5 7 8 10 = 7: 0 1 3 5 6 8 10 = 8: 0 2 4 5 7 9 11 = 10: 0 2 3 5 7 9 10 7 3 0 2 3 5 7 9 10 0 = 0: 0 6 3 0 2 3 5 7 10 0 7 = 0: 0 7 = 7: 0 5 5 3 0 3 5 7 10 0 2 = 0: 0 2 = 2: 0 10 5 3 0 3 5 7 10 0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7 4 3 0 3 5 10 0 9 = 0: 0 9 = 9: 0 3 4 3 0 3 5 10 0 7 9 = 0: 0 7 9 = 7: 0 2 5 = 9: 0 3 10 4 3 0 3 5 10 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10 3 3 3 5 10 0 2 4 = 0: 0 2 4 = 2: 0 2 10 = 4: 0 8 10 3 3 3 5 10 0 4 7 = 0: 0 4 7 = 4: 0 3 8 = 7: 0 5 9 3 3 3 5 10 0 4 9 = 0: 0 4 9 = 4: 0 5 8 = 9: 0 3 7 3 3 3 5 10 0 2 4 7 = 0: 0 2 4 7 = 2: 0 2 5 10 = 4: 0 3 8 10 = 7: 0 5 7 9 3 3 3 5 10 0 2 4 9 = 0: 0 2 4 9 = 2: 0 2 7 10 = 4: 0 5 8 10 = 9: 0 3 5 7 3 3 3 5 10 0 4 7 9 = 0: 0 4 7 9 = 4: 0 3 5 8 = 7: 0 2 5 9 = 9: 0 3 7 10 3 3 3 5 10 0 2 4 7 9 = 0: 0 2 4 7 9 = 2: 0 2 5 7 10 = 4: 0 3 5 8 10 = 7: 0 2 5 7 9 = 9: 0 3 5 7 10 2 3 3 10 0 2 4 11 = 0: 0 2 4 11 = 2: 0 2 9 10 = 4: 0 7 8 10 = 11: 0 1 3 5 2 3 3 10 0 2 9 11 = 0: 0 2 9 11 = 2: 0 7 9 10 = 9: 0 2 3 5 = 11: 0 1 3 10 2 3 3 10 0 7 9 11 = 0: 0 7 9 11 = 7: 0 2 4 5 = 9: 0 2 3 10 = 11: 0 1 8 10 2 3 3 10 0 2 4 7 11 = 0: 0 2 4 7 11 = 2: 0 2 5 9 10 = 4: 0 3 7 8 10 = 7: 0 4 5 7 9 = 11: 0 1 3 5 8 2 3 3 10 0 2 4 9 11 = 0: 0 2 4 9 11 = 2: 0 2 7 9 10 = 4: 0 5 7 8 10 = 9: 0 2 3 5 7 = 11: 0 1 3 5 10 2 3 3 10 0 2 7 9 11 = 0: 0 2 7 9 11 = 2: 0 5 7 9 10 = 7: 0 2 4 5 7 = 9: 0 2 3 5 10 = 11: 0 1 3 8 10 2 3 3 10 0 4 7 9 11 = 0: 0 4 7 9 11 = 4: 0 3 5 7 8 = 7: 0 2 4 5 9 = 9: 0 2 3 7 10 = 11: 0 1 5 8 10 2 3 3 10 0 2 4 7 9 11 = 0: 0 2 4 7 9 11 = 2: 0 2 5 7 9 10 = 4: 0 3 5 7 8 10 = 7: 0 2 4 5 7 9 = 9: 0 2 3 5 7 10 = 11: 0 1 3 5 8 10 1 3 3 0 2 4 6 7 9 11 = 0: 0 2 4 6 7 9 11 = 2: 0 2 4 5 7 9 10 = 4: 0 2 3 5 7 8 10 = 6: 0 1 3 5 6 8 10 = 7: 0 2 4 5 7 9 11 = 9: 0 2 3 5 7 9 10 = 11: 0 1 3 5 7 8 10 5 5 0 2 5 7 9 0 10 = 0: 0 10 = 10: 0 2 5 5 0 2 5 7 9 0 5 10 = 0: 0 5 10 = 5: 0 5 7 = 10: 0 2 7 4 5 0 2 5 7 0 7 10 = 0: 0 7 10 = 7: 0 3 5 = 10: 0 2 9 4 5 0 2 5 7 0 5 7 10 = 0: 0 5 7 10 = 5: 0 2 5 7 = 7: 0 3 5 10 = 10: 0 2 7 9 3 5 0 5 7 0 2 7 10 = 0: 0 2 7 10 = 2: 0 5 8 10 = 7: 0 3 5 7 = 10: 0 2 4 9 3 5 0 5 7 0 2 5 7 10 = 0: 0 2 5 7 10 = 2: 0 3 5 8 10 = 5: 0 2 5 7 9 = 7: 0 3 5 7 10 = 10: 0 2 4 7 9 2 5 0 5 0 2 9 10 = 0: 0 2 9 10 = 2: 0 7 8 10 = 9: 0 1 3 5 = 10: 0 2 4 11 2 5 0 5 0 7 9 10 = 0: 0 7 9 10 = 7: 0 2 3 5 = 9: 0 1 3 10 = 10: 0 2 9 11 2 5 0 5 0 2 7 9 10 = 0: 0 2 7 9 10 = 2: 0 5 7 8 10 = 7: 0 2 3 5 7 = 9: 0 1 3 5 10 = 10: 0 2 4 9 11 2 5 0 5 0 5 7 9 10 = 0: 0 5 7 9 10 = 5: 0 2 4 5 7 = 7: 0 2 3 5 10 = 9: 0 1 3 8 10 = 10: 0 2 7 9 11 2 5 0 5 0 2 5 7 9 10 = 0: 0 2 5 7 9 10 = 2: 0 3 5 7 8 10 = 5: 0 2 4 5 7 9 = 7: 0 2 3 5 7 10 = 9: 0 1 3 5 8 10 = 10: 0 2 4 7 9 11 1 5 5 0 2 4 5 7 9 10 = 0: 0 2 4 5 7 9 10 = 2: 0 2 3 5 7 8 10 = 4: 0 1 3 5 6 8 10 = 5: 0 2 4 5 7 9 11 = 7: 0 2 3 5 7 9 10 = 9: 0 1 3 5 7 8 10 = 10: 0 2 4 6 7 9 11 2 7 2 7 0 7 8 10 = 0: 0 7 8 10 = 7: 0 1 3 5 = 8: 0 2 4 11 = 10: 0 2 9 10 2 7 2 7 0 3 5 7 8 = 0: 0 3 5 7 8 = 3: 0 2 4 5 9 = 5: 0 2 3 7 10 = 7: 0 1 5 8 10 = 8: 0 4 7 9 11 2 7 2 7 0 3 7 8 10 = 0: 0 3 7 8 10 = 3: 0 4 5 7 9 = 7: 0 1 3 5 8 = 8: 0 2 4 7 11 = 10: 0 2 5 9 10 2 7 2 7 0 5 7 8 10 = 0: 0 5 7 8 10 = 5: 0 2 3 5 7 = 7: 0 1 3 5 10 = 8: 0 2 4 9 11 = 10: 0 2 7 9 10 2 7 2 7 0 3 5 7 8 10 = 0: 0 3 5 7 8 10 = 3: 0 2 4 5 7 9 = 5: 0 2 3 5 7 10 = 7: 0 1 3 5 8 10 = 8: 0 2 4 7 9 11 = 10: 0 2 5 7 9 10 1 7 7 0 2 3 5 7 8 10 = 0: 0 2 3 5 7 8 10 = 2: 0 1 3 5 6 8 10 = 3: 0 2 4 5 7 9 11 = 5: 0 2 3 5 7 9 10 = 7: 0 1 3 5 7 8 10 = 8: 0 2 4 6 7 9 11 = 10: 0 2 4 5 7 9 10 1 9 9 0 1 3 5 6 8 10 = 0: 0 1 3 5 6 8 10 = 1: 0 2 4 5 7 9 11 = 3: 0 2 3 5 7 9 10 = 5: 0 1 3 5 7 8 10 = 6: 0 2 4 6 7 9 11 = 8: 0 2 4 5 7 9 10 = 10: 0 2 3 5 7 8 10 6 10 0 2 5 7 9 10 0 5 = 0: 0 5 = 5: 0 7 5 10 0 2 5 7 10 0 5 7 = 0: 0 5 7 = 5: 0 2 7 = 7: 0 5 10 4 10 0 5 7 10 0 2 5 7 = 0: 0 2 5 7 = 2: 0 3 5 10 = 5: 0 2 7 9 = 7: 0 5 7 10 3 10 0 5 10 0 5 7 9 = 0: 0 5 7 9 = 5: 0 2 4 7 = 7: 0 2 5 10 = 9: 0 3 8 10 3 10 0 5 10 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 2 10 5 10 0 2 4 5 = 0: 0 2 4 5 = 2: 0 2 3 10 = 4: 0 1 8 10 = 5: 0 7 9 11 2 10 5 10 0 2 4 5 7 = 0: 0 2 4 5 7 = 2: 0 2 3 5 10 = 4: 0 1 3 8 10 = 5: 0 2 7 9 11 = 7: 0 5 7 9 10 2 10 5 10 0 4 5 7 9 = 0: 0 4 5 7 9 = 4: 0 1 3 5 8 = 5: 0 2 4 7 11 = 7: 0 2 5 9 10 = 9: 0 3 7 8 10 2 10 5 10 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 1 10 10 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 Bright Layer Composition order pcset 1 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 2 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 3 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 4 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 5 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 6 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 2 3 5 7 9 10 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 3 = 3 = 3: 0 5 = 5 = 5: 0 7 = 7 = 7: 0 9 = 9 = 9: 0 10 = 10 = 10: 0 subchroma modal system: 0 1 0 2 = 0 2 = 0: 0 2 2: 0 10 2 3 = 2 3 = 2: 0 1 3: 0 11 3 5 = 3 5 = 3: 0 2 5: 0 10 5 7 = 5 7 = 5: 0 2 7: 0 10 7 9 = 7 9 = 7: 0 2 9: 0 10 9 10 = 9 10 = 9: 0 1 10: 0 11 10 0 = 0 10 = 10: 0 2 0: 0 10 subchroma modal system: 0 2 0 3 = 0 3 = 0: 0 3 3: 0 9 2 5 = 2 5 = 2: 0 3 5: 0 9 3 7 = 3 7 = 3: 0 4 7: 0 8 5 9 = 5 9 = 5: 0 4 9: 0 8 7 10 = 7 10 = 7: 0 3 10: 0 9 9 0 = 0 9 = 9: 0 3 0: 0 9 10 2 = 2 10 = 10: 0 4 2: 0 8 subchroma modal system: 0 3 0 5 = 0 5 = 0: 0 5 5: 0 7 2 7 = 2 7 = 2: 0 5 7: 0 7 3 9 = 3 9 = 3 9: 0 6 5 10 = 5 10 = 5: 0 5 10: 0 7 7 0 = 0 7 = 7: 0 5 0: 0 7 9 2 = 2 9 = 9: 0 5 2: 0 7 10 3 = 3 10 = 10: 0 5 3: 0 7 subchroma modal system: 0 1 2 0 2 3 = 0 2 3 = 0: 0 2 3 2 3 5 = 2 3 5 = 2: 0 1 3 3: 0 2 11 3 5 7 = 3 5 7 = 3: 0 2 4 5 7 9 = 5 7 9 = 5: 0 2 4 7 9 10 = 7 9 10 = 7: 0 2 3 9 10 0 = 0 9 10 = 9: 0 1 3 10: 0 2 11 10 0 2 = 0 2 10 = 10: 0 2 4 subchroma modal system: 0 1 3 0 2 5 = 0 2 5 = 2: 0 3 10 5: 0 7 9 2 3 7 = 2 3 7 = 3: 0 4 11 7: 0 7 8 3 5 9 = 3 5 9 = 5: 0 4 10 5 7 10 = 5 7 10 = 7: 0 3 10 10: 0 7 9 7 9 0 = 0 7 9 = 9: 0 3 10 0: 0 7 9 9 10 2 = 2 9 10 = 10: 0 4 11 2: 0 7 8 10 0 3 = 0 3 10 = 0: 0 3 10 3: 0 7 9 subchroma modal system: 0 1 4 0 2 7 = 0 2 7 = 0: 0 2 7 7: 0 5 7 2: 0 5 10 2 3 9 = 2 3 9 = 2: 0 1 7 3 5 10 = 3 5 10 = 3: 0 2 7 10: 0 5 7 5: 0 5 10 5 7 0 = 0 5 7 = 5: 0 2 7 0: 0 5 7 7: 0 5 10 7 9 2 = 2 7 9 = 7: 0 2 7 2: 0 5 7 9: 0 5 10 9 10 3 = 3 9 10 = 3: 0 6 7 10 0 5 = 0 5 10 = 10: 0 2 7 5: 0 5 7 0: 0 5 10 subchroma modal system: 0 1 5 0 2 9 = 0 2 9 = 9: 0 3 5 2: 0 7 10 2 3 10 = 2 3 10 = 10: 0 4 5 3: 0 7 11 3 5 0 = 0 3 5 = 0: 0 3 5 5: 0 7 10 5 7 2 = 2 5 7 = 2: 0 3 5 7: 0 7 10 7 9 3 = 3 7 9 = 3: 0 4 6 9 10 5 = 5 9 10 = 5: 0 4 5 10: 0 7 11 10 0 7 = 0 7 10 = 7: 0 3 5 0: 0 7 10 subchroma modal system: 0 2 4 0 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 2 5 9 = 2 5 9 = 2: 0 3 7 5: 0 4 9 3 7 10 = 3 7 10 = 3: 0 4 7 5 9 0 = 0 5 9 = 5: 0 4 7 7 10 2 = 2 7 10 = 7: 0 3 7 10: 0 4 9 9 0 3 = 0 3 9 = 9: 0 3 6 0: 0 3 9 10 2 5 = 2 5 10 = 10: 0 4 7 subchroma modal system: 0 1 2 3 0 2 3 5 = 0 2 3 5 = 0: 0 2 3 5 2: 0 1 3 10 3: 0 2 9 11 5: 0 7 9 10 2 3 5 7 = 2 3 5 7 = 2: 0 1 3 5 3: 0 2 4 11 5: 0 2 9 10 7: 0 7 8 10 3 5 7 9 = 3 5 7 9 = 3: 0 2 4 6 5: 0 2 4 10 5 7 9 10 = 5 7 9 10 = 5: 0 2 4 5 7: 0 2 3 10 10: 0 7 9 11 7 9 10 0 = 0 7 9 10 = 7: 0 2 3 5 9: 0 1 3 10 10: 0 2 9 11 0: 0 7 9 10 9 10 0 2 = 0 2 9 10 = 9: 0 1 3 5 10: 0 2 4 11 0: 0 2 9 10 2: 0 7 8 10 10 0 2 3 = 0 2 3 10 = 10: 0 2 4 5 0: 0 2 3 10 3: 0 7 9 11 subchroma modal system: 0 1 2 4 0 2 3 7 = 0 2 3 7 = 0: 0 2 3 7 3: 0 4 9 11 7: 0 5 7 8 2 3 5 9 = 2 3 5 9 = 2: 0 1 3 7 5: 0 4 9 10 3 5 7 10 = 3 5 7 10 = 3: 0 2 4 7 10: 0 5 7 9 5 7 9 0 = 0 5 7 9 = 5: 0 2 4 7 0: 0 5 7 9 7 9 10 2 = 2 7 9 10 = 7: 0 2 3 7 10: 0 4 9 11 2: 0 5 7 8 9 10 0 3 = 0 3 9 10 = 9: 0 1 3 6 0: 0 3 9 10 3: 0 6 7 9 10 0 2 5 = 0 2 5 10 = 10: 0 2 4 7 5: 0 5 7 9 subchroma modal system: 0 1 2 5 0 2 3 9 = 0 2 3 9 = 2: 0 1 7 10 9: 0 3 5 6 2 3 5 10 = 2 3 5 10 = 3: 0 2 7 11 10: 0 4 5 7 3 5 7 0 = 0 3 5 7 = 3: 0 2 4 9 5: 0 2 7 10 0: 0 3 5 7 5 7 9 2 = 2 5 7 9 = 5: 0 2 4 9 7: 0 2 7 10 2: 0 3 5 7 7 9 10 3 = 3 7 9 10 = 3: 0 4 6 7 9 10 0 5 = 0 5 9 10 = 10: 0 2 7 11 5: 0 4 5 7 10 0 2 7 = 0 2 7 10 = 10: 0 2 4 9 0: 0 2 7 10 7: 0 3 5 7 subchroma modal system: 0 1 3 4 0 2 5 7 = 0 2 5 7 = 0: 0 2 5 7 5: 0 2 7 9 2: 0 3 5 10 7: 0 5 7 10 2 3 7 9 = 2 3 7 9 = 2: 0 1 5 7 7: 0 2 7 8 3: 0 4 6 11 3 5 9 10 = 3 5 9 10 = 3: 0 2 6 7 5: 0 4 5 10 10: 0 5 7 11 5 7 10 0 = 0 5 7 10 = 5: 0 2 5 7 10: 0 2 7 9 7: 0 3 5 10 0: 0 5 7 10 7 9 0 2 = 0 2 7 9 = 7: 0 2 5 7 0: 0 2 7 9 9: 0 3 5 10 2: 0 5 7 10 9 10 2 3 = 2 3 9 10 = 2: 0 1 7 8 10: 0 4 5 11 3: 0 6 7 11 10 0 3 5 = 0 3 5 10 = 10: 0 2 5 7 3: 0 2 7 9 0: 0 3 5 10 5: 0 5 7 10 subchroma modal system: 0 1 3 5 0 2 5 9 = 0 2 5 9 = 5: 0 4 7 9 2: 0 3 7 10 2 3 7 10 = 2 3 7 10 = 7: 0 3 7 8 3: 0 4 7 11 3 5 9 0 = 0 3 5 9 = 5: 0 4 7 10 5 7 10 2 = 2 5 7 10 = 10: 0 4 7 9 7: 0 3 7 10 7 9 0 3 = 0 3 7 9 = 0: 0 3 7 9 9: 0 3 6 10 9 10 2 5 = 2 5 9 10 = 2: 0 3 7 8 10: 0 4 7 11 10 0 3 7 = 0 3 7 10 = 3: 0 4 7 9 0: 0 3 7 10 subchroma modal system: 0 1 2 3 4 0 2 3 5 7 = 0 2 3 5 7 = 0: 0 2 3 5 7 3: 0 2 4 9 11 5: 0 2 7 9 10 7: 0 5 7 8 10 2 3 5 7 9 = 2 3 5 7 9 = 2: 0 1 3 5 7 3: 0 2 4 6 11 5: 0 2 4 9 10 7: 0 2 7 8 10 3 5 7 9 10 = 3 5 7 9 10 = 3: 0 2 4 6 7 10: 0 5 7 9 11 5 7 9 10 0 = 0 5 7 9 10 = 5: 0 2 4 5 7 10: 0 2 7 9 11 0: 0 5 7 9 10 7 9 10 0 2 = 0 2 7 9 10 = 7: 0 2 3 5 7 10: 0 2 4 9 11 0: 0 2 7 9 10 2: 0 5 7 8 10 9 10 0 2 3 = 0 2 3 9 10 = 9: 0 1 3 5 6 0: 0 2 3 9 10 2: 0 1 7 8 10 3: 0 6 7 9 11 10 0 2 3 5 = 0 2 3 5 10 = 10: 0 2 4 5 7 3: 0 2 7 9 11 5: 0 5 7 9 10 subchroma modal system: 0 1 2 3 5 0 2 3 5 9 = 0 2 3 5 9 = 2: 0 1 3 7 10 9: 0 3 5 6 8 5: 0 4 7 9 10 2 3 5 7 10 = 2 3 5 7 10 = 3: 0 2 4 7 11 10: 0 4 5 7 9 7: 0 3 7 8 10 3 5 7 9 0 = 0 3 5 7 9 = 5: 0 2 4 7 10 0: 0 3 5 7 9 5 7 9 10 2 = 2 5 7 9 10 = 7: 0 2 3 7 10 2: 0 3 5 7 8 10: 0 4 7 9 11 7 9 10 0 3 = 0 3 7 9 10 = 9: 0 1 3 6 10 3: 0 4 6 7 9 0: 0 3 7 9 10 9 10 0 2 5 = 0 2 5 9 10 = 10: 0 2 4 7 11 5: 0 4 5 7 9 2: 0 3 7 8 10 10 0 2 3 7 = 0 2 3 7 10 = 0: 0 2 3 7 10 7: 0 3 5 7 8 3: 0 4 7 9 11 subchroma modal system: 0 1 2 4 5 0 2 3 7 9 = 0 2 3 7 9 = 0: 0 2 3 7 9 7: 0 2 5 7 8 2: 0 1 5 7 10 9: 0 3 5 6 10 2 3 5 9 10 = 2 3 5 9 10 = 2: 0 1 3 7 8 3: 0 2 6 7 11 10: 0 4 5 7 11 3 5 7 10 0 = 0 3 5 7 10 = 3: 0 2 4 7 9 10: 0 2 5 7 9 5: 0 2 5 7 10 0: 0 3 5 7 10 5 7 9 0 2 = 0 2 5 7 9 = 5: 0 2 4 7 9 0: 0 2 5 7 9 7: 0 2 5 7 10 2: 0 3 5 7 10 7 9 10 2 3 = 2 3 7 9 10 = 7: 0 2 3 7 8 2: 0 1 5 7 8 3: 0 4 6 7 11 9 10 0 3 5 = 0 3 5 9 10 = 3: 0 2 6 7 9 10: 0 2 5 7 11 5: 0 4 5 7 10 10 0 2 5 7 = 0 2 5 7 10 = 10: 0 2 4 7 9 5: 0 2 5 7 9 0: 0 2 5 7 10 7: 0 3 5 7 10 subchroma modal system: 0 1 2 3 4 5 0 2 3 5 7 9 = 0 2 3 5 7 9 = 0: 0 2 3 5 7 9 2: 0 1 3 5 7 10 5: 0 2 4 7 9 10 7: 0 2 5 7 8 10 2 3 5 7 9 10 = 2 3 5 7 9 10 = 2: 0 1 3 5 7 8 3: 0 2 4 6 7 11 7: 0 2 3 7 8 10 10: 0 4 5 7 9 11 3 5 7 9 10 0 = 0 3 5 7 9 10 = 3: 0 2 4 6 7 9 5: 0 2 4 5 7 10 10: 0 2 5 7 9 11 0: 0 3 5 7 9 10 5 7 9 10 0 2 = 0 2 5 7 9 10 = 5: 0 2 4 5 7 9 7: 0 2 3 5 7 10 10: 0 2 4 7 9 11 0: 0 2 5 7 9 10 2: 0 3 5 7 8 10 7 9 10 0 2 3 = 0 2 3 7 9 10 = 7: 0 2 3 5 7 8 0: 0 2 3 7 9 10 2: 0 1 5 7 8 10 3: 0 4 6 7 9 11 9 10 0 2 3 5 = 0 2 3 5 9 10 = 10: 0 2 4 5 7 11 2: 0 1 3 7 8 10 3: 0 2 6 7 9 11 5: 0 4 5 7 9 10 10 0 2 3 5 7 = 0 2 3 5 7 10 = 10: 0 2 4 5 7 9 0: 0 2 3 5 7 10 3: 0 2 4 7 9 11 5: 0 2 5 7 9 10 7: 0 3 5 7 8 10 subchroma modal system: 0 1 2 3 4 5 6 0 2 3 5 7 9 10 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 2 3 5 7 9 10 0 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 3 5 7 9 10 0 2 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 5 7 9 10 0 2 3 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 7 9 10 0 2 3 5 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 9 10 0 2 3 5 7 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 10 0 2 3 5 7 9 = 0 2 3 5 7 9 10 = 9: 0 1 3 5 6 8 10 2: 0 1 3 5 7 8 10 7: 0 2 3 5 7 8 10 0: 0 2 3 5 7 9 10 5: 0 2 4 5 7 9 10 10: 0 2 4 5 7 9 11 3: 0 2 4 6 7 9 11 Subset Chord Types by Root Set 0 :0 3 9 0 :0 3 7 9 0 :0 3 9 10 0 :0 2 3 7 9 0 :0 2 3 9 10 0 :0 3 5 7 9 0 :0 3 7 9 10 0 :0 2 3 5 7 9 0 :0 2 3 7 9 10 0 :0 3 5 7 9 10 0 :0 2 3 5 7 9 10 0 2 3 5 7 9 10:0 0 2 3 5 7 10 :0 7 0 2 5 7 :0 7 10 0 2 5 7 :0 5 7 10 0 2 5 7 9 :0 10 0 2 5 7 9 :0 5 10 0 2 5 7 9 10 :0 5 0 2 5 7 10 :0 5 7 0 2 7 :0 3 7 0 2 7 :0 3 5 7 0 2 7 :0 3 7 10 0 2 7 :0 3 5 7 10 0 2 7 9 :0 3 0 2 7 9 :0 3 5 0 2 7 9 :0 3 10 0 2 7 9 :0 3 5 10 0 3 5 7 10 :0 2 0 3 5 7 10 :0 2 7 0 3 5 10 :0 9 0 3 5 10 :0 7 9 0 3 5 10 :0 2 7 9 0 5 :0 2 9 10 0 5 :0 7 9 10 0 5 :0 2 7 9 10 0 5 :0 5 7 9 10 0 5 :0 2 5 7 9 10 0 5 7 :0 2 7 10 0 5 7 :0 2 5 7 10 0 5 7 10 :0 2 5 7 0 5 10 :0 5 7 9 0 5 10 :0 2 5 7 9 0 7 :0 2 3 0 7 :0 2 3 5 0 7 :0 2 3 7 0 7 :0 2 3 10 0 7 :0 2 3 5 7 0 7 :0 2 3 7 10 0 7 :0 2 3 5 7 10 2 :0 1 7 2 :0 1 3 7 2 :0 1 5 7 2 :0 1 7 8 2 :0 1 7 10 2 :0 1 3 5 7 2 :0 1 3 7 8 2 :0 1 3 7 10 2 :0 1 5 7 8 2 :0 1 5 7 10 2 :0 1 7 8 10 2 :0 1 3 5 7 8 2 :0 1 3 5 7 10 2 :0 1 3 7 8 10 2 :0 1 5 7 8 10 2 :0 1 3 5 7 8 10 2 7 :0 7 8 2 7 :0 3 7 8 2 7 :0 5 7 8 2 7 :0 7 8 10 2 7 :0 3 5 7 8 2 7 :0 3 7 8 10 2 7 :0 5 7 8 10 2 7 :0 3 5 7 8 10 2 7 9 :0 8 2 9 :0 1 2 9 :0 1 3 2 9 :0 1 3 5 2 9 :0 1 3 10 3 :0 4 6 3 :0 6 7 3 :0 2 4 6 3 :0 2 6 7 3 :0 4 6 7 3 :0 4 6 11 3 :0 6 7 9 3 :0 6 7 11 3 :0 2 4 6 7 3 :0 2 4 6 11 3 :0 2 6 7 9 3 :0 2 6 7 11 3 :0 4 6 7 9 3 :0 4 6 7 11 3 :0 6 7 9 11 3 :0 2 4 6 7 9 3 :0 2 4 6 7 11 3 :0 2 6 7 9 11 3 :0 4 6 7 9 11 3 :0 2 4 6 7 9 11 3 5 10 :0 4 3 5 10 :0 2 4 3 5 10 :0 4 7 3 5 10 :0 4 9 3 5 10 :0 2 4 7 3 5 10 :0 2 4 9 3 5 10 :0 4 7 9 3 5 10 :0 2 4 7 9 3 9 :0 6 3 10 :0 11 3 10 :0 2 11 3 10 :0 4 11 3 10 :0 7 11 3 10 :0 2 4 11 3 10 :0 2 7 11 3 10 :0 2 9 11 3 10 :0 4 7 11 3 10 :0 4 9 11 3 10 :0 7 9 11 3 10 :0 2 4 7 11 3 10 :0 2 4 9 11 3 10 :0 2 7 9 11 3 10 :0 4 7 9 11 3 10 :0 2 4 7 9 11 5 :0 4 10 5 :0 2 4 10 5 :0 4 5 10 5 :0 4 7 10 5 :0 4 9 10 5 :0 2 4 7 10 5 :0 2 4 9 10 5 :0 4 5 7 10 5 :0 4 7 9 10 5 :0 2 4 5 7 10 5 :0 2 4 7 9 10 5 :0 4 5 7 9 10 5 :0 2 4 5 7 9 10 5 10 :0 4 5 5 10 :0 2 4 5 5 10 :0 4 5 7 5 10 :0 2 4 5 7 5 10 :0 4 5 7 9 5 10 :0 2 4 5 7 9 7 :0 2 7 8 7 :0 2 3 7 8 7 :0 2 5 7 8 7 :0 2 7 8 10 7 :0 2 3 5 7 8 7 :0 2 3 7 8 10 7 :0 2 5 7 8 10 7 :0 2 3 5 7 8 10 9 :0 3 6 9 :0 1 3 6 9 :0 3 5 6 9 :0 3 6 10 9 :0 1 3 5 6 9 :0 1 3 6 10 9 :0 3 5 6 8 9 :0 3 5 6 10 9 :0 1 3 5 6 8 10 10 :0 4 5 11 10 :0 5 7 11 10 :0 2 5 7 11 10 :0 4 5 7 11 10 :0 5 7 9 11 10 :0 2 4 5 7 11 10 :0 2 5 7 9 11 10 :0 4 5 7 9 11 10 :0 2 4 5 7 9 11 Superset Chord Types by Root Set 0 :0 2 3 5 7 9 10 0 :0 1 2 3 5 7 9 10 0 :0 2 3 5 6 7 9 10 0 :0 2 3 5 7 9 10 11 0 :0 1 2 3 5 6 7 9 10 0 :0 1 2 3 5 7 9 10 11 0 :0 2 3 5 6 7 9 10 11 0 :0 1 2 3 5 6 7 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 2 4 7 9 :0 1 2 3 5 6 7 8 9 10 11 0 2 5 7 :0 1 2 3 4 5 7 8 9 10 0 2 5 7 9 :0 1 2 3 4 5 6 7 8 9 10 0 2 5 7 10 :0 1 2 3 4 5 7 8 9 10 11 0 2 7 :0 1 2 3 5 7 8 9 10 0 2 7 :0 1 2 3 5 7 8 9 10 11 0 2 7 9 :0 1 2 3 5 6 7 8 9 10 0 3 5 7 10 :0 2 3 4 5 6 7 8 9 10 11 0 3 5 8 10 :0 1 2 3 4 5 6 7 9 10 11 0 3 5 10 :0 2 3 4 5 6 7 9 10 11 0 5 :0 2 3 4 5 7 9 10 0 5 :0 1 2 3 4 5 7 9 10 0 5 :0 2 3 4 5 6 7 9 10 0 5 :0 1 2 3 4 5 6 7 9 10 0 5 7 :0 2 3 4 5 7 8 9 10 0 5 7 :0 2 3 4 5 6 7 8 9 10 0 5 7 10 :0 2 3 4 5 7 8 9 10 11 0 5 10 :0 2 3 4 5 7 9 10 11 0 5 10 :0 1 2 3 4 5 7 9 10 11 0 7 :0 2 3 5 7 8 9 10 0 7 :0 2 3 5 6 7 8 9 10 0 7 :0 2 3 5 7 8 9 10 11 0 7 :0 2 3 5 6 7 8 9 10 11 1 :0 1 2 4 5 6 8 9 10 11 1 3 5 8 10 :0 1 2 4 5 6 7 8 9 10 11 1 3 6 8 :0 1 2 3 4 6 7 8 9 11 1 3 6 8 10 :0 1 2 3 4 5 6 7 8 9 11 1 3 6 8 11 :0 1 2 3 4 6 7 8 9 10 11 1 3 8 :0 1 2 4 6 7 8 9 11 1 3 8 :0 1 2 4 6 7 8 9 10 11 1 3 8 10 :0 1 2 4 5 6 7 8 9 11 1 4 6 9 11 :0 1 2 3 4 5 6 8 9 10 11 1 6 :0 1 2 3 4 5 6 8 9 11 1 6 11 :0 1 2 3 4 6 8 9 10 11 2 :0 1 3 5 7 8 10 2 :0 1 3 4 5 7 8 10 2 :0 1 3 5 7 8 9 10 2 :0 1 3 5 7 8 10 11 2 :0 1 3 4 5 7 8 9 10 2 :0 1 3 4 5 7 8 10 11 2 :0 1 3 5 7 8 9 10 11 2 :0 1 3 4 5 7 8 9 10 11 2 4 6 9 11 :0 1 3 4 5 6 7 8 9 10 11 2 4 7 9 :0 1 2 3 5 6 7 8 10 11 2 4 7 9 11 :0 1 2 3 4 5 6 7 8 10 11 2 4 9 :0 1 3 5 6 7 8 9 10 11 2 4 9 11 :0 1 3 4 5 6 7 8 10 11 2 7 :0 1 2 3 5 7 8 10 2 7 :0 1 2 3 4 5 7 8 10 2 7 :0 1 2 3 5 7 8 10 11 2 7 :0 1 2 3 4 5 7 8 10 11 2 7 9 :0 1 2 3 5 6 7 8 10 2 7 9 :0 1 2 3 4 5 6 7 8 10 2 9 :0 1 3 4 5 6 7 8 10 2 9 :0 1 3 5 6 7 8 9 10 2 9 :0 1 3 4 5 6 7 8 9 10 3 :0 2 4 6 7 9 11 3 :0 2 3 4 6 7 9 11 3 :0 2 4 6 7 8 9 11 3 :0 2 4 6 7 9 10 11 3 :0 2 3 4 6 7 8 9 11 3 :0 2 3 4 6 7 9 10 11 3 :0 2 4 6 7 8 9 10 11 3 :0 2 3 4 6 7 8 9 10 11 3 5 8 10 :0 1 2 4 5 6 7 9 10 11 3 5 10 :0 2 4 5 6 7 9 10 11 3 5 10 :0 2 4 5 6 7 8 9 10 11 3 8 :0 1 2 4 6 7 9 11 3 8 :0 1 2 3 4 6 7 9 11 3 8 :0 1 2 4 6 7 9 10 11 3 8 :0 1 2 3 4 6 7 9 10 11 3 8 10 :0 1 2 4 5 6 7 9 11 3 8 10 :0 1 2 3 4 5 6 7 9 11 3 10 :0 2 4 5 6 7 9 11 3 10 :0 2 3 4 5 6 7 9 11 3 10 :0 2 4 5 6 7 8 9 11 3 10 :0 2 3 4 5 6 7 8 9 11 4 6 9 11 :0 1 3 4 5 6 8 9 10 11 4 9 :0 1 2 3 5 6 8 9 10 11 4 9 11 :0 1 2 3 4 5 6 8 10 11 5 :0 2 4 5 7 9 10 5 :0 1 2 4 5 7 9 10 5 :0 2 4 5 6 7 9 10 5 :0 2 4 5 7 8 9 10 5 :0 1 2 4 5 6 7 9 10 5 :0 1 2 4 5 7 8 9 10 5 :0 2 4 5 6 7 8 9 10 5 :0 1 2 4 5 6 7 8 9 10 5 10 :0 2 4 5 7 9 10 11 5 10 :0 1 2 4 5 7 9 10 11 5 10 :0 2 4 5 7 8 9 10 11 5 10 :0 1 2 4 5 7 8 9 10 11 6 :0 1 3 4 6 7 8 9 11 6 :0 1 3 4 5 6 7 8 9 11 6 11 :0 1 3 4 6 7 8 9 10 11 7 :0 2 3 5 7 8 10 7 :0 2 3 4 5 7 8 10 7 :0 2 3 5 6 7 8 10 7 :0 2 3 5 7 8 10 11 7 :0 2 3 4 5 6 7 8 10 7 :0 2 3 4 5 7 8 10 11 7 :0 2 3 5 6 7 8 10 11 7 :0 2 3 4 5 6 7 8 10 11 9 :0 1 3 5 6 8 10 9 :0 1 2 3 5 6 8 10 9 :0 1 2 3 4 5 6 8 10 9 :0 1 2 3 4 5 6 8 9 10 10 :0 2 4 5 7 9 11 10 :0 1 2 4 5 7 9 11 10 :0 2 3 4 5 7 9 11 10 :0 2 4 5 7 8 9 11 10 :0 1 2 3 4 5 7 9 11 10 :0 1 2 4 5 7 8 9 11 10 :0 2 3 4 5 7 8 9 11 10 :0 1 2 3 4 5 7 8 9 11 11 :0 1 3 4 6 8 10 11 11 :0 1 2 3 4 6 8 10 11 11 :0 1 3 4 6 7 8 10 11 11 :0 1 2 3 4 6 7 8 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 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 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 2 9 = 2: 0 7 = 9: 0 5 0 2 = maj. 2nd, dim., maj. 9th | 0 3 5 7 10 = 0: 0 3 5 7 10 = 3: 0 2 4 7 9 = 5: 0 2 5 7 10 = 7: 0 3 5 8 10 = 10: 0 2 5 7 9 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10 0 4 = maj. 3rd, maj. 10th, dim. 4th | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 0 2 5 7 9 10 = 0: 0 2 5 7 9 10 = 2: 0 3 5 7 8 10 = 5: 0 2 4 5 7 9 = 7: 0 2 3 5 7 10 = 9: 0 1 3 5 8 10 = 10: 0 2 4 7 9 11 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 3 9 = 3: 0 6 = 9: 0 6 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 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 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 2 7 9 = 2: 0 5 7 = 7: 0 2 7 = 9: 0 5 10 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 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 0 11 = maj. 7th, maj. 14th | 3 10 = 3: 0 7 = 10: 0 5 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 2 9 = 2: 0 7 = 9: 0 5 0 2 3 = min. trichord | 0 7 = 0: 0 7 = 7: 0 5 0 2 4 = maj. trichord | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 Sus2 triads (Scale Degrees: 125) 0 1 7 | 2 = 2: 0 0 2 7 = sus2, 3 in 5ths | 0 3 5 7 10 = 0: 0 3 5 7 10 = 3: 0 2 4 7 9 = 5: 0 2 5 7 10 = 7: 0 3 5 8 10 = 10: 0 2 5 7 9 Root with upper and lower neighbors (Scale Degrees: 127) 0 2 11 | 3 10 = 3: 0 7 = 10: 0 5 Scale Degrees: 134 0 3 5 | 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10 0 4 5 | 5 10 = 5: 0 5 = 10: 0 7 Triads (Scale Degrees: 135) 0 3 6 = dim. | 9 = 9: 0 0 3 7 = m = minor | 0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7 0 4 6 = Mb5 | 3 = 3: 0 0 4 7 = M = major | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 0 = 0: 0 0 4 9 = M6 no 5th | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10 0 4 10 = 7 no 5th | 5 = 5: 0 0 4 11 = M7 no 5th | 3 10 = 3: 0 7 = 10: 0 5 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 0 2 5 7 10 = 0: 0 2 5 7 10 = 2: 0 3 5 8 10 = 5: 0 2 5 7 9 = 7: 0 3 5 7 10 = 10: 0 2 4 7 9 0 6 7 = sus#4, Viennese trichord | 3 = 3: 0 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 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 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 2 7 = 2: 0 5 = 7: 0 7 0 7 9 | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 0 2 5 7 = 0: 0 2 5 7 = 2: 0 3 5 10 = 5: 0 2 7 9 = 7: 0 5 7 10 0 7 11 = M power chord | 3 10 = 3: 0 7 = 10: 0 5 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 2 9 = 2: 0 7 = 9: 0 5 0 2 3 5 = min. tetrachord | 0 7 = 0: 0 7 = 7: 0 5 0 2 4 5 = maj. tetrachord | 5 10 = 5: 0 5 = 10: 0 7 0 2 4 6 = whole tone tetrachord | 3 = 3: 0 Add 9 Chords (Scale Degrees: 1235) 0 1 3 6 = dim. add b9 | 9 = 9: 0 0 1 3 7 = m add b9, all-int | 2 = 2: 0 0 2 3 7 = m add9 | 0 7 = 0: 0 7 = 7: 0 5 0 2 4 7 = add9 , Mu chord | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 6/9 chord no 5th (Scale Degrees: 1236) 0 2 4 9 | 3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 2 9 = 2: 0 7 = 9: 0 5 0 2 3 10 = m9 no 5th | 0 7 = 0: 0 7 = 7: 0 5 0 2 4 10 = 9 no 5th | 5 = 5: 0 0 2 4 11 = M9 no 5th | 3 10 = 3: 0 7 = 10: 0 5 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 2 = 2: 0 0 2 5 7 | 0 5 7 10 = 0: 0 5 7 10 = 5: 0 2 5 7 = 7: 0 3 5 10 = 10: 0 2 7 9 0 2 6 7 | 3 = 3: 0 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 2 = 2: 0 0 2 7 8 | 7 = 7: 0 0 2 7 9 = 4 in 5ths | 0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 2 = 2: 0 0 2 7 10 = 9 no 3rd, m9 no 3rd | 0 5 7 = 0: 0 5 7 = 5: 0 2 7 = 7: 0 5 10 0 2 7 11 = M9 no 3rd, mM9 no 3rd | 3 10 = 3: 0 7 = 10: 0 5 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 2 9 10 | 0 5 = 0: 0 5 = 5: 0 7 0 2 9 11 | 3 10 = 3: 0 7 = 10: 0 5 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 9 = 9: 0 0 3 5 7 = m add 11 | 0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7 0 4 5 7 = M add 11 | 5 10 = 5: 0 5 = 10: 0 7 0 4 6 7 = Madd#11, Jetsons, all-int | 3 = 3: 0 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 10 = m11 no 5th 7th 9th, 4 in 4ths | 0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10

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

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

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

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

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

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

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

order	pcset
1	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
2	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
3	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
4	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
5	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
6	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 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

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	2 9 = 2: 0 7 = 9: 0 5
0 2 = maj. 2nd, dim., maj. 9th	\|	0 3 5 7 10 = 0: 0 3 5 7 10 = 3: 0 2 4 7 9 = 5: 0 2 5 7 10 = 7: 0 3 5 8 10 = 10: 0 2 5 7 9

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

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

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

6ths / 13ths (Scale Degrees: 16)
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th	\|	2 7 9 = 2: 0 5 7 = 7: 0 2 7 = 9: 0 5 10
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7

7ths / 14ths (Scale Degrees: 17)
0 10 = aug. 6th, min. 7th, aug. 13th	\|	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
0 11 = maj. 7th, maj. 14th	\|	3 10 = 3: 0 7 = 10: 0 5

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	2 9 = 2: 0 7 = 9: 0 5
0 2 3 = min. trichord	\|	0 7 = 0: 0 7 = 7: 0 5
0 2 4 = maj. trichord	\|	3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7

Sus2 triads (Scale Degrees: 125)
0 1 7	\|	2 = 2: 0
0 2 7 = sus2, 3 in 5ths	\|	0 3 5 7 10 = 0: 0 3 5 7 10 = 3: 0 2 4 7 9 = 5: 0 2 5 7 10 = 7: 0 3 5 8 10 = 10: 0 2 5 7 9

Root with upper and lower neighbors (Scale Degrees: 127)
0 2 11	\|	3 10 = 3: 0 7 = 10: 0 5

Scale Degrees: 134
0 3 5	\|	0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10
0 4 5	\|	5 10 = 5: 0 5 = 10: 0 7

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	9 = 9: 0
0 3 7 = m = minor	\|	0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7
0 4 6 = Mb5	\|	3 = 3: 0
0 4 7 = M = major	\|	3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	0 = 0: 0
0 4 9 = M6 no 5th	\|	3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10
0 4 10 = 7 no 5th	\|	5 = 5: 0
0 4 11 = M7 no 5th	\|	3 10 = 3: 0 7 = 10: 0 5

Sus4 Triads (Scale Degrees: 145)
0 5 7 = sus4	\|	0 2 5 7 10 = 0: 0 2 5 7 10 = 2: 0 3 5 8 10 = 5: 0 2 5 7 9 = 7: 0 3 5 7 10 = 10: 0 2 4 7 9
0 6 7 = sus#4, Viennese trichord	\|	3 = 3: 0

7sus chords no 5th (Scale Degrees: 147)
0 5 10 = 3 in 4ths	\|	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

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	2 7 = 2: 0 5 = 7: 0 7
0 7 9	\|	0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	0 2 5 7 = 0: 0 2 5 7 = 2: 0 3 5 10 = 5: 0 2 7 9 = 7: 0 5 7 10
0 7 11 = M power chord	\|	3 10 = 3: 0 7 = 10: 0 5

1st 3 notes of diamorphic scale (Scale Degrees: 1234)
0 1 3 5 = Greek diatonic tetrachord	\|	2 9 = 2: 0 7 = 9: 0 5
0 2 3 5 = min. tetrachord	\|	0 7 = 0: 0 7 = 7: 0 5
0 2 4 5 = maj. tetrachord	\|	5 10 = 5: 0 5 = 10: 0 7
0 2 4 6 = whole tone tetrachord	\|	3 = 3: 0

Add 9 Chords (Scale Degrees: 1235)
0 1 3 6 = dim. add b9	\|	9 = 9: 0
0 1 3 7 = m add b9, all-int	\|	2 = 2: 0
0 2 3 7 = m add9	\|	0 7 = 0: 0 7 = 7: 0 5
0 2 4 7 = add9 , Mu chord	\|	3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7

6/9 chord no 5th (Scale Degrees: 1236)
0 2 4 9	\|	3 5 10 = 3: 0 2 7 = 5: 0 5 10 = 10: 0 5 7

9th chords no 5th (Scale Degrees: 1237)
0 1 3 10 = M7b9 no 5th	\|	2 9 = 2: 0 7 = 9: 0 5
0 2 3 10 = m9 no 5th	\|	0 7 = 0: 0 7 = 7: 0 5
0 2 4 10 = 9 no 5th	\|	5 = 5: 0
0 2 4 11 = M9 no 5th	\|	3 10 = 3: 0 7 = 10: 0 5

11th chords no 3rd no 7th (Scale Degrees: 1245)
0 1 5 7	\|	2 = 2: 0
0 2 5 7	\|	0 5 7 10 = 0: 0 5 7 10 = 5: 0 2 5 7 = 7: 0 3 5 10 = 10: 0 2 7 9
0 2 6 7	\|	3 = 3: 0

6/9 chords no 3rd (Scale Degrees: 1256)
0 1 7 8	\|	2 = 2: 0
0 2 7 8	\|	7 = 7: 0
0 2 7 9 = 4 in 5ths	\|	0 3 5 10 = 0: 0 3 5 10 = 3: 0 2 7 9 = 5: 0 5 7 10 = 10: 0 2 5 7

9th chords no 3rd (Scale Degrees: 1257)
0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd	\|	2 = 2: 0
0 2 7 10 = 9 no 3rd, m9 no 3rd	\|	0 5 7 = 0: 0 5 7 = 5: 0 2 7 = 7: 0 5 10
0 2 7 11 = M9 no 3rd, mM9 no 3rd	\|	3 10 = 3: 0 7 = 10: 0 5

13th chords no 3rd no 5th no 11th (Scale Degrees: 1267)
0 2 9 10	\|	0 5 = 0: 0 5 = 5: 0 7
0 2 9 11	\|	3 10 = 3: 0 7 = 10: 0 5

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	9 = 9: 0
0 3 5 7 = m add 11	\|	0 2 7 = 0: 0 2 7 = 2: 0 5 10 = 7: 0 5 7
0 4 5 7 = M add 11	\|	5 10 = 5: 0 5 = 10: 0 7
0 4 6 7 = Madd#11, Jetsons, all-int	\|	3 = 3: 0

11th chords no 5th no 9th (Scale Degrees: 1347)
0 3 5 10 = m11 no 5th 7th 9th, 4 in 4ths	\|	0 2 7 9 = 0: 0 2 7 9 = 2: 0 5 7 10 = 7: 0 2 5 7 = 9: 0 3 5 10