Chord Type: 0 2 3 5 6 9 10

0 2 3 5 6 9 10 = m13b5 = doric locrian = kiordi ascending

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Chord Type: 0 2 3 5 6 9 10

Chord Type Fun Facts 0 2 3 5 6 9 10 Subset of Dorian Blues Scale (0 2 3 5 6 7 9 10) Diamorphic Modal System Fun Facts 0 1 3 4 7 8 10 Subset of Dorian Blues Scale Subset of Harmonic Major Modal System General Statistics Cardinality: 7 Jordan Number: 7-53 Forte Number: 7-32 Forte Prime Form: [0,1,3,4,6,8,9] Zeitler Scale Name: Katagian Ian Ring's Scale Page 1645 Root Reference: 0 2 3 5 6 9 10 Tone Stacking: 0 2 1 2 1 3 1 Interval Stacking: 2 1 2 1 3 1 2 Binary: 1 0 1 1 0 1 1 0 0 1 1 0 Decimal Value: 1645 Interval Vector: 3 3 5 4 4 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.167 Harmonic Adjacency (0-1): 0.583 Modal-system-invariant under multiplication by: 1 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 6 9 10 |m13b5 = doric locrian = kiordi ascending +1= 1 3 4 6 7 10 11 | +2= 0 2 4 5 7 8 11 |Harmonic major = Mb13 = mela 27 Sarasangi = suzinak +3= 0 1 3 5 6 8 9 | +4= 1 2 4 6 7 9 10 | +5= 2 3 5 7 8 10 11 | +6= 0 3 4 6 8 9 11 |mM13#5#9 +7= 0 1 4 5 7 9 10 |13b9 = neapolitan mixolydian = mela 16 Chakravakam +8= 1 2 5 6 8 10 11 | +9= 0 2 3 6 7 9 11 |mM13#11 = lydian diminished = mela 59 Dharmavati +10= 0 1 3 4 7 8 10 |Shostakovitch = altered scale +11= 1 2 4 5 8 9 11 | Modes of Chord Type: (mode 0) 0: 0 2 3 5 6 9 10 | m13b5 = doric locrian = kiordi ascending (mode 1) 2: 0 1 3 4 7 8 10 | Shostakovitch = altered scale (mode 2) 3: 0 2 3 6 7 9 11 | mM13#11 = lydian diminished = mela 59 Dharmavati (mode 3) 5: 0 1 4 5 7 9 10 | 13b9 = neapolitan mixolydian = mela 16 Chakravakam (mode 4) 6: 0 3 4 6 8 9 11 | mM13#5#9 (mode 5) 9: 0 1 3 5 6 8 9 | (mode 6) 10: 0 2 4 5 7 8 11 | Harmonic major = Mb13 = mela 27 Sarasangi = suzinak Modes of Chord Type Sorted by Rootedness: 1.492(mode 1)2:0 1 3 4 7 8 10 |Shostakovitch = altered scale 1.258(mode 2)3:0 2 3 6 7 9 11 |mM13#11 = lydian diminished = mela 59 Dharmavati 1.258(mode 3)5:0 1 4 5 7 9 10 |13b9 = neapolitan mixolydian = mela 16 Chakravakam .942(mode 6)10:0 2 4 5 7 8 11 |Harmonic major = Mb13 = mela 27 Sarasangi = suzinak .733(mode 4)6:0 3 4 6 8 9 11 |mM13#5#9 .250(mode 0)0:0 2 3 5 6 9 10 |m13b5 = doric locrian = kiordi ascending -.200(mode 5)9:0 1 3 5 6 8 9 | Inversion at 0: 0 2 3 6 7 9 10 (mode 0) 0: 0 2 3 6 7 9 10 | m13#11 = Misheberak scale = Ukrainian Dorian scale = souzinak = Romanian Minor scale = mela 58 Hemavati (mode 1) 2: 0 1 4 5 7 8 10 | 7b13b9 = 7-tone Spanish phrygian = Spanish Gypsy = phrygian major = phrygian dominant = Freygish scale = Mixolydian b9 b13 chord scale = Hijaz-Nahawand or Hijaz = Ahava Rabbah = Dastgah-e Homayoun (Iran) = raga Hijaz Bhairav (Basant Mukhari) = raga Vakulabharanam (mode 2) 3: 0 3 4 6 7 9 11 | M13#9#11 = Hungarian major II = mustar = periaiotikos = mela 71 Kosalamu (mode 3) 6: 0 1 3 4 6 8 9 | (mode 4) 7: 0 2 3 5 7 8 11 | harmonic minor = mMb13 = mela 21 Keeravani (mode 5) 9: 0 1 3 5 6 9 10 | m13b5b9 = oriental (mode 6) 10: 0 2 4 5 8 9 11 | M13#5 Times 7: 0 2 3 6 9 10 11 (mode 0) 0: 0 2 3 6 9 10 11 | (mode 1) 2: 0 1 4 7 8 9 10 | (mode 2) 3: 0 3 6 7 8 9 11 | (mode 3) 6: 0 3 4 5 6 8 9 | (mode 4) 9: 0 1 2 3 5 6 9 | (mode 5) 10: 0 1 2 4 5 8 11 | (mode 6) 11: 0 1 3 4 7 10 11 | Times 5: 0 1 2 3 6 9 10 (mode 0) 0: 0 1 2 3 6 9 10 | (mode 1) 1: 0 1 2 5 8 9 11 | (mode 2) 2: 0 1 4 7 8 10 11 | (mode 3) 3: 0 3 6 7 9 10 11 | (mode 4) 6: 0 3 4 6 7 8 9 | mela 67 Sucharitra (mode 5) 9: 0 1 3 4 5 6 9 | (mode 6) 10: 0 2 3 4 5 8 11 | Modal System: 0 1 3 4 7 8 10 from root(s) 2 | "harmonic major modal system" Modes of Modal System: (mode 0) 0: 0 1 3 4 7 8 10 | Shostakovitch = altered scale (mode 1) 1: 0 2 3 6 7 9 11 | mM13#11 = lydian diminished = mela 59 Dharmavati (mode 2) 3: 0 1 4 5 7 9 10 | 13b9 = neapolitan mixolydian = mela 16 Chakravakam (mode 3) 4: 0 3 4 6 8 9 11 | mM13#5#9 (mode 4) 7: 0 1 3 5 6 8 9 | (mode 5) 8: 0 2 4 5 7 8 11 | Harmonic major = Mb13 = mela 27 Sarasangi = suzinak (mode 6) 10: 0 2 3 5 6 9 10 | m13b5 = doric locrian = kiordi ascending Complement: 1 4 7 8 11 (mode 0) 1: 0 3 6 7 10 | m7#11 no 9th = batti minor #4 (mode 1) 4: 0 3 4 7 9 | Javanese slendro (mode 2) 7: 0 1 4 6 9 | (mode 3) 8: 0 3 5 8 11 | (mode 4) 11: 0 2 5 8 9 | All but the root (subchroma complement of 0): 2 3 5 6 9 10 (mode 0) 2: 0 1 3 4 7 8 | (mode 1) 3: 0 2 3 6 7 11 | mM#11 (mode 2) 5: 0 1 4 5 9 10 | (mode 3) 6: 0 3 4 8 9 11 | M13#5#9 no 11th (mode 4) 9: 0 1 5 6 8 9 | (mode 5) 10: 0 4 5 7 8 11 | M7b13 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) Harmonic major scale - 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: 0 2 3 6 9 (mode 0) 0: 0 2 3 6 9 | (mode 1) 2: 0 1 4 7 10 | 7b9 (mode 2) 3: 0 3 6 9 11 | (mode 3) 6: 0 3 6 8 9 | (mode 4) 9: 0 3 5 6 9 | Alt-Dechromaticised but Keep 0 0 2 3 6 9 (unchanged) (mode 0) 0: 0 2 3 6 9 | (mode 1) 2: 0 1 4 7 10 | 7b9 (mode 2) 3: 0 3 6 9 11 | (mode 3) 6: 0 3 6 8 9 | (mode 4) 9: 0 3 5 6 9 | Alt-Dechromaticised but Keep 0 7 N/A Alt-Dechromaticised but Keep 0 3 4 7 0 2 3 6 9 (unchanged) (mode 0) 0: 0 2 3 6 9 | (mode 1) 2: 0 1 4 7 10 | 7b9 (mode 2) 3: 0 3 6 9 11 | (mode 3) 6: 0 3 6 8 9 | (mode 4) 9: 0 3 5 6 9 | Chromaticizations chromaticized: N/A chromaticized keep 0: (mode 0) 0: 0 2 3 5 6 9 10 11 | (mode 1) 2: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 2) 3: 0 2 3 6 7 8 9 11 | (mode 3) 5: 0 1 4 5 6 7 9 10 | (mode 4) 6: 0 3 4 5 6 8 9 11 | (mode 5) 9: 0 1 2 3 5 6 8 9 | (mode 6) 10: 0 1 2 4 5 7 8 11 | (mode 7) 11: 0 1 3 4 6 7 10 11 | (mode 0) 0: 0 1 2 3 5 6 9 10 | (mode 1) 1: 0 1 2 4 5 8 9 11 | (mode 2) 2: 0 1 3 4 7 8 10 11 | (mode 3) 3: 0 2 3 6 7 9 10 11 | Romanian Minor scale = Ukranian Dorian scale (mode 4) 5: 0 1 4 5 7 8 9 10 | mela 13 Gayakapriya = 014589 & dom.7 (mode 5) 6: 0 3 4 6 7 8 9 11 | (mode 6) 9: 0 1 3 4 5 6 8 9 | (mode 7) 10: 0 2 3 4 5 7 8 11 | chromaticized keep 0 7: (mode 0) 0: 0 2 3 5 6 9 10 11 | (mode 1) 2: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 2) 3: 0 2 3 6 7 8 9 11 | (mode 3) 5: 0 1 4 5 6 7 9 10 | (mode 4) 6: 0 3 4 5 6 8 9 11 | (mode 5) 9: 0 1 2 3 5 6 8 9 | (mode 6) 10: 0 1 2 4 5 7 8 11 | (mode 7) 11: 0 1 3 4 6 7 10 11 | (mode 0) 0: 0 1 2 3 5 6 9 10 | (mode 1) 1: 0 1 2 4 5 8 9 11 | (mode 2) 2: 0 1 3 4 7 8 10 11 | (mode 3) 3: 0 2 3 6 7 9 10 11 | Romanian Minor scale = Ukranian Dorian scale (mode 4) 5: 0 1 4 5 7 8 9 10 | mela 13 Gayakapriya = 014589 & dom.7 (mode 5) 6: 0 3 4 6 7 8 9 11 | (mode 6) 9: 0 1 3 4 5 6 8 9 | (mode 7) 10: 0 2 3 4 5 7 8 11 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 2 3 5 6 9 10 11 | (mode 1) 2: 0 1 3 4 7 8 9 10 | ultraphrygian (mode 2) 3: 0 2 3 6 7 8 9 11 | (mode 3) 5: 0 1 4 5 6 7 9 10 | (mode 4) 6: 0 3 4 5 6 8 9 11 | (mode 5) 9: 0 1 2 3 5 6 8 9 | (mode 6) 10: 0 1 2 4 5 7 8 11 | (mode 7) 11: 0 1 3 4 6 7 10 11 | (mode 0) 0: 0 1 2 3 5 6 9 10 | (mode 1) 1: 0 1 2 4 5 8 9 11 | (mode 2) 2: 0 1 3 4 7 8 10 11 | (mode 3) 3: 0 2 3 6 7 9 10 11 | Romanian Minor scale = Ukranian Dorian scale (mode 4) 5: 0 1 4 5 7 8 9 10 | mela 13 Gayakapriya = 014589 & dom.7 (mode 5) 6: 0 3 4 6 7 8 9 11 | (mode 6) 9: 0 1 3 4 5 6 8 9 | (mode 7) 10: 0 2 3 4 5 7 8 11 | (mode 0) 0: 0 2 3 5 6 7 8 9 10 | (mode 1) 2: 0 1 3 4 5 6 7 8 10 | (mode 2) 3: 0 2 3 4 5 6 7 9 11 | lydian & melodic minor (mode 3) 5: 0 1 2 3 4 5 7 9 10 | (mode 4) 6: 0 1 2 3 4 6 8 9 11 | (mode 5) 7: 0 1 2 3 5 7 8 10 11 | phrygian & harmonic minor (mode 6) 8: 0 1 2 4 6 7 9 10 11 | (mode 7) 9: 0 1 3 5 6 8 9 10 11 | (mode 8) 10: 0 2 4 5 7 8 9 10 11 | (mode 0) 0: 0 2 3 5 6 7 8 9 10 11 | diminished scale & dorian = diminished scale & aeolean (mode 1) 2: 0 1 3 4 5 6 7 8 9 10 | aux. diminished scale & phrygian = aux. diminished scale & locrian = 014589 & aux. diminished scale (mode 2) 3: 0 2 3 4 5 6 7 8 9 11 | lydian & harmonic minor = diminished scale & ionian = diminished scale & lydian (mode 3) 5: 0 1 2 3 4 5 6 7 9 10 | aux. diminished scale & dorian (mode 4) 6: 0 1 2 3 4 5 6 8 9 11 | (mode 5) 7: 0 1 2 3 4 5 7 8 10 11 | (mode 6) 8: 0 1 2 3 4 6 7 9 10 11 | aux. diminished scale & lydian = 2367AB & aux. diminished scale (mode 7) 9: 0 1 2 3 5 6 8 9 10 11 | diminished scale & locrian (mode 8) 10: 0 1 2 4 5 7 8 9 10 11 | 014589 & bebop major = Spanish Gypsy & ionian (mode 9) 11: 0 1 3 4 6 7 8 9 10 11 | 03478B & aux. diminished scale (mode 0) 0: 0 1 2 3 5 6 7 8 9 10 | locridorian scale (mode 1) 1: 0 1 2 4 5 6 7 8 9 11 | (mode 2) 2: 0 1 3 4 5 6 7 8 10 11 | locrian & augmented scale (mode 3) 3: 0 2 3 4 5 6 7 9 10 11 | dorelydian scale = 2367AB & bebop major (mode 4) 5: 0 1 2 3 4 5 7 8 9 10 | mixophrygian scale (mode 5) 6: 0 1 2 3 4 6 7 8 9 11 | 10-note 5ths stack (mode 6) 7: 0 1 2 3 5 6 7 8 10 11 | locrian & harmonic minor (mode 7) 8: 0 1 2 4 5 6 7 9 10 11 | 12569A & bebop major (mode 8) 9: 0 1 3 4 5 6 8 9 10 11 | 10-note 4ths stack (mode 9) 10: 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 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) 1 0 0 0 2 3 5 6 9 10 = 0: 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 = 3: 0 2 3 6 7 9 11 = 5: 0 1 4 5 7 9 10 = 6: 0 3 4 6 8 9 11 = 9: 0 1 3 5 6 8 9 = 10: 0 2 4 5 7 8 11 1 2 2 0 1 3 4 7 8 10 = 0: 0 1 3 4 7 8 10 = 1: 0 2 3 6 7 9 11 = 3: 0 1 4 5 7 9 10 = 4: 0 3 4 6 8 9 11 = 7: 0 1 3 5 6 8 9 = 8: 0 2 4 5 7 8 11 = 10: 0 2 3 5 6 9 10 1 3 3 0 2 3 6 7 9 11 = 0: 0 2 3 6 7 9 11 = 2: 0 1 4 5 7 9 10 = 3: 0 3 4 6 8 9 11 = 6: 0 1 3 5 6 8 9 = 7: 0 2 4 5 7 8 11 = 9: 0 2 3 5 6 9 10 = 11: 0 1 3 4 7 8 10 1 5 5 0 1 4 5 7 9 10 = 0: 0 1 4 5 7 9 10 = 1: 0 3 4 6 8 9 11 = 4: 0 1 3 5 6 8 9 = 5: 0 2 4 5 7 8 11 = 7: 0 2 3 5 6 9 10 = 9: 0 1 3 4 7 8 10 = 10: 0 2 3 6 7 9 11 1 6 6 0 3 4 6 8 9 11 = 0: 0 3 4 6 8 9 11 = 3: 0 1 3 5 6 8 9 = 4: 0 2 4 5 7 8 11 = 6: 0 2 3 5 6 9 10 = 8: 0 1 3 4 7 8 10 = 9: 0 2 3 6 7 9 11 = 11: 0 1 4 5 7 9 10 1 10 10 0 2 4 5 7 8 11 = 0: 0 2 4 5 7 8 11 = 2: 0 2 3 5 6 9 10 = 4: 0 1 3 4 7 8 10 = 5: 0 2 3 6 7 9 11 = 7: 0 1 4 5 7 9 10 = 8: 0 3 4 6 8 9 11 = 11: 0 1 3 5 6 8 9 Bright Layer Composition order pcset 1 0 2 3 5 6 9 10 = 0: 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 = 3: 0 2 3 6 7 9 11 = 5: 0 1 4 5 7 9 10 = 6: 0 3 4 6 8 9 11 = 9: 0 1 3 5 6 8 9 = 10: 0 2 4 5 7 8 11 2 0 1 2 3 4 5 6 7 9 10 = 0: 0 1 2 3 4 5 6 7 9 10 = 1: 0 1 2 3 4 5 6 8 9 11 = 2: 0 1 2 3 4 5 7 8 10 11 = 3: 0 1 2 3 4 6 7 9 10 11 = 4: 0 1 2 3 5 6 8 9 10 11 = 5: 0 1 2 4 5 7 8 9 10 11 = 6: 0 1 3 4 6 7 8 9 10 11 = 7: 0 2 3 5 6 7 8 9 10 11 = 9: 0 1 3 4 5 6 7 8 9 10 = 10: 0 2 3 4 5 6 7 8 9 11 3 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 2 3 5 6 9 10 subchroma modal system: 0 0 = 0 = 0: 0 2 = 2 = 2: 0 3 = 3 = 3: 0 5 = 5 = 5: 0 6 = 6 = 6: 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 6 = 5 6 = 5: 0 1 6: 0 11 6 9 = 6 9 = 6: 0 3 9: 0 9 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 6 = 3 6 = 3: 0 3 6: 0 9 5 9 = 5 9 = 5: 0 4 9: 0 8 6 10 = 6 10 = 6: 0 4 10: 0 8 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 6 = 2 6 = 2: 0 4 6: 0 8 3 9 = 3 9 = 3 9: 0 6 5 10 = 5 10 = 5: 0 5 10: 0 7 6 0 = 0 6 = 0 6: 0 6 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 6 = 3 5 6 = 3: 0 2 3 5 6 9 = 5 6 9 = 5: 0 1 4 6: 0 3 11 6 9 10 = 6 9 10 = 6: 0 3 4 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 6 = 2 3 6 = 2: 0 1 4 3: 0 3 11 3 5 9 = 3 5 9 = 5: 0 4 10 5 6 10 = 5 6 10 = 6: 0 4 11 10: 0 7 8 6 9 0 = 0 6 9 = 6: 0 3 6 9: 0 3 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 6 = 0 2 6 = 2: 0 4 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 6 0 = 0 5 6 = 5: 0 1 7 6 9 2 = 2 6 9 = 2: 0 4 7 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 6 2 = 2 5 6 = 2: 0 3 4 6 9 3 = 3 6 9 = 3: 0 3 6 6: 0 3 9 9 10 5 = 5 9 10 = 5: 0 4 5 10: 0 7 11 10 0 6 = 0 6 10 = 6: 0 4 6 subchroma modal system: 0 2 4 0 3 6 = 0 3 6 = 0: 0 3 6 3: 0 3 9 2 5 9 = 2 5 9 = 2: 0 3 7 5: 0 4 9 3 6 10 = 3 6 10 = 3: 0 3 7 6: 0 4 9 5 9 0 = 0 5 9 = 5: 0 4 7 6 10 2 = 2 6 10 = 2 6 10: 0 4 8 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 6 = 2 3 5 6 = 2: 0 1 3 4 3: 0 2 3 11 3 5 6 9 = 3 5 6 9 = 3: 0 2 3 6 5: 0 1 4 10 6: 0 3 9 11 5 6 9 10 = 5 6 9 10 = 5: 0 1 4 5 6: 0 3 4 11 10: 0 7 8 11 6 9 10 0 = 0 6 9 10 = 6: 0 3 4 6 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 6 = 0 2 3 6 = 0: 0 2 3 6 2: 0 1 4 10 3: 0 3 9 11 2 3 5 9 = 2 3 5 9 = 2: 0 1 3 7 5: 0 4 9 10 3 5 6 10 = 3 5 6 10 = 3: 0 2 3 7 6: 0 4 9 11 10: 0 5 7 8 5 6 9 0 = 0 5 6 9 = 5: 0 1 4 7 6: 0 3 6 11 6 9 10 2 = 2 6 9 10 = 6: 0 3 4 8 2: 0 4 7 8 10: 0 4 8 11 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 6 0 = 0 3 5 6 = 5: 0 1 7 10 0: 0 3 5 6 5 6 9 2 = 2 5 6 9 = 2: 0 3 4 7 5: 0 1 4 9 6 9 10 3 = 3 6 9 10 = 6: 0 3 4 9 3: 0 3 6 7 9 10 0 5 = 0 5 9 10 = 10: 0 2 7 11 5: 0 4 5 7 10 0 2 6 = 0 2 6 10 = 2: 0 4 8 10 subchroma modal system: 0 1 3 4 0 2 5 6 = 0 2 5 6 = 2: 0 3 4 10 5: 0 1 7 9 2 3 6 9 = 2 3 6 9 = 2: 0 1 4 7 3: 0 3 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 6 10 0 = 0 5 6 10 = 5: 0 1 5 7 10: 0 2 7 8 6: 0 4 6 11 6 9 0 2 = 0 2 6 9 = 2: 0 4 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 6 10 = 2 3 6 10 = 3: 0 3 7 11 3 5 9 0 = 0 3 5 9 = 5: 0 4 7 10 5 6 10 2 = 2 5 6 10 = 2: 0 3 4 8 10: 0 4 7 8 6: 0 4 8 11 6 9 0 3 = 0 3 6 9 = 0 3 6 9: 0 3 6 9 9 10 2 5 = 2 5 9 10 = 2: 0 3 7 8 10: 0 4 7 11 10 0 3 6 = 0 3 6 10 = 3: 0 3 7 9 0: 0 3 6 10 subchroma modal system: 0 1 2 3 4 0 2 3 5 6 = 0 2 3 5 6 = 2: 0 1 3 4 10 0: 0 2 3 5 6 3: 0 2 3 9 11 5: 0 1 7 9 10 2 3 5 6 9 = 2 3 5 6 9 = 2: 0 1 3 4 7 3: 0 2 3 6 11 5: 0 1 4 9 10 3 5 6 9 10 = 3 5 6 9 10 = 3: 0 2 3 6 7 5: 0 1 4 5 10 6: 0 3 4 9 11 10: 0 5 7 8 11 5 6 9 10 0 = 0 5 6 9 10 = 5: 0 1 4 5 7 6: 0 3 4 6 11 10: 0 2 7 8 11 6 9 10 0 2 = 0 2 6 9 10 = 10: 0 2 4 8 11 2: 0 4 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 6 10 = 2 3 5 6 10 = 2: 0 1 3 4 8 3: 0 2 3 7 11 10: 0 4 5 7 8 3 5 6 9 0 = 0 3 5 6 9 = 5: 0 1 4 7 10 5 6 9 10 2 = 2 5 6 9 10 = 2: 0 3 4 7 8 6: 0 3 4 8 11 10: 0 4 7 8 11 6 9 10 0 3 = 0 3 6 9 10 = 9: 0 1 3 6 9 6: 0 3 4 6 9 3: 0 3 6 7 9 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 6 = 0 2 3 6 10 = 2: 0 1 4 8 10 0: 0 2 3 6 10 3: 0 3 7 9 11 subchroma modal system: 0 1 2 4 5 0 2 3 6 9 = 0 2 3 6 9 = 2: 0 1 4 7 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 6 10 0 = 0 3 5 6 10 = 3: 0 2 3 7 9 10: 0 2 5 7 8 5: 0 1 5 7 10 0: 0 3 5 6 10 5 6 9 0 2 = 0 2 5 6 9 = 5: 0 1 4 7 9 2: 0 3 4 7 10 6 9 10 2 3 = 2 3 6 9 10 = 2: 0 1 4 7 8 3: 0 3 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 6 = 0 2 5 6 10 = 10: 0 2 4 7 8 2: 0 3 4 8 10 5: 0 1 5 7 9 subchroma modal system: 0 1 2 3 4 5 0 2 3 5 6 9 = 0 2 3 5 6 9 = 2: 0 1 3 4 7 10 5: 0 1 4 7 9 10 2 3 5 6 9 10 = 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 3: 0 2 3 6 7 11 6: 0 3 4 8 9 11 10: 0 4 5 7 8 11 3 5 6 9 10 0 = 0 3 5 6 9 10 = 3: 0 2 3 6 7 9 5: 0 1 4 5 7 10 10: 0 2 5 7 8 11 5 6 9 10 0 2 = 0 2 5 6 9 10 = 5: 0 1 4 5 7 9 10: 0 2 4 7 8 11 2: 0 3 4 7 8 10 6 9 10 0 2 3 = 0 2 3 6 9 10 = 2: 0 1 4 7 8 10 3: 0 3 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 6 = 0 2 3 5 6 10 = 2: 0 1 3 4 8 10 10: 0 2 4 5 7 8 0: 0 2 3 5 6 10 3: 0 2 3 7 9 11 5: 0 1 5 7 9 10 subchroma modal system: 0 1 2 3 4 5 6 0 2 3 5 6 9 10 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 2 3 5 6 9 10 0 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 3 5 6 9 10 0 2 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 5 6 9 10 0 2 3 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 6 9 10 0 2 3 5 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 9 10 0 2 3 5 6 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 10 0 2 3 5 6 9 = 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 5: 0 1 4 5 7 9 10 0: 0 2 3 5 6 9 10 3: 0 2 3 6 7 9 11 10: 0 2 4 5 7 8 11 6: 0 3 4 6 8 9 11 Subset Chord Types by Root Set 0 :0 2 3 5 0 :0 2 3 10 0 :0 2 9 10 0 :0 3 5 10 0 :0 3 6 10 0 :0 3 9 10 0 :0 2 3 5 6 0 :0 2 3 6 10 0 :0 2 3 9 10 0 :0 3 5 6 10 0 :0 2 3 5 6 10 0 :0 2 3 5 6 9 10 0 2 :0 3 10 0 2 3 5 6 9 10:0 0 2 3 6 9 :0 3 0 2 5 :0 10 0 3 :0 2 3 0 3 :0 2 3 6 0 3 5 6 9 :0 9 0 3 6 9 :0 6 0 3 6 9 :0 3 6 0 3 6 9 :0 3 9 0 3 6 9 :0 3 6 9 0 3 10 :0 2 0 5 :0 5 10 0 5 9 10 :0 5 0 9 :0 3 5 0 9 :0 3 5 6 2 :0 1 3 4 2 :0 1 3 7 2 :0 3 4 7 2 :0 1 3 10 2 :0 3 4 10 2 :0 1 7 8 2 :0 3 7 8 2 :0 3 7 10 2 :0 4 8 10 2 :0 7 8 10 2 :0 1 3 4 7 2 :0 1 3 4 8 2 :0 1 3 4 10 2 :0 1 3 7 8 2 :0 1 4 7 8 2 :0 3 4 7 8 2 :0 1 3 7 10 2 :0 1 4 8 10 2 :0 3 4 7 10 2 :0 3 4 8 10 2 :0 1 7 8 10 2 :0 3 7 8 10 2 :0 4 7 8 10 2 :0 1 3 4 7 8 2 :0 1 3 4 7 10 2 :0 1 3 4 8 10 2 :0 1 3 7 8 10 2 :0 1 4 7 8 10 2 :0 3 4 7 8 10 2 :0 1 3 4 7 8 10 2 3 :0 3 7 2 3 5 10 :0 7 2 5 :0 1 4 2 5 :0 1 7 2 5 :0 4 10 2 5 :0 7 10 2 5 :0 1 4 7 2 5 :0 1 4 10 2 5 :0 1 7 10 2 5 :0 4 7 10 2 5 :0 1 4 7 10 2 5 6 10 :0 4 2 5 9 :0 1 2 5 10 :0 4 7 2 6 :0 3 4 2 6 :0 3 4 8 2 6 9 10 :0 8 2 6 10 :0 4 8 2 9 :0 1 3 2 10 :0 7 8 2 10 :0 4 7 8 3 :0 6 7 3 :0 2 3 7 3 :0 2 3 11 3 :0 2 6 7 3 :0 2 7 9 3 :0 2 9 11 3 :0 3 6 7 3 :0 3 7 9 3 :0 3 7 11 3 :0 6 7 9 3 :0 6 7 11 3 :0 7 9 11 3 :0 2 3 6 7 3 :0 2 3 7 9 3 :0 2 3 6 11 3 :0 2 3 7 11 3 :0 2 3 9 11 3 :0 2 6 7 9 3 :0 2 6 7 11 3 :0 2 7 9 11 3 :0 3 6 7 9 3 :0 3 6 7 11 3 :0 3 7 9 11 3 :0 6 7 9 11 3 :0 2 3 6 7 9 3 :0 2 3 6 7 11 3 :0 2 3 7 9 11 3 :0 2 6 7 9 11 3 :0 3 6 7 9 11 3 :0 2 3 6 7 9 11 3 5 :0 7 9 3 6 :0 3 11 3 6 :0 3 6 11 3 6 :0 3 9 11 3 6 10 :0 11 3 10 :0 2 7 3 10 :0 2 11 3 10 :0 7 11 3 10 :0 2 7 11 5 :0 1 4 5 5 :0 1 4 9 5 :0 1 5 7 5 :0 1 7 9 5 :0 4 5 10 5 :0 4 7 9 5 :0 4 9 10 5 :0 5 7 9 5 :0 5 7 10 5 :0 7 9 10 5 :0 1 4 5 7 5 :0 1 4 5 10 5 :0 1 4 7 9 5 :0 1 4 9 10 5 :0 1 5 7 9 5 :0 1 5 7 10 5 :0 1 7 9 10 5 :0 4 5 7 9 5 :0 4 5 7 10 5 :0 4 7 9 10 5 :0 5 7 9 10 5 :0 1 4 5 7 9 5 :0 1 4 5 7 10 5 :0 1 4 7 9 10 5 :0 1 5 7 9 10 5 :0 4 5 7 9 10 5 :0 1 4 5 7 9 10 5 6 :0 4 9 5 10 :0 4 5 5 10 :0 5 7 5 10 :0 4 5 7 6 :0 4 6 6 :0 3 4 6 6 :0 3 4 9 6 :0 3 4 11 6 :0 4 6 11 6 :0 4 9 11 6 :0 3 4 6 9 6 :0 3 4 6 11 6 :0 3 4 8 11 6 :0 3 4 9 11 6 :0 3 4 8 9 11 6 :0 3 4 6 8 9 11 6 10 :0 4 11 6 10 :0 4 8 11 9 :0 1 3 5 9 :0 1 3 6 9 :0 1 3 5 6 9 :0 1 3 6 9 9 :0 3 5 6 8 10 :0 2 4 10 :0 2 4 5 10 :0 2 4 7 10 :0 2 4 11 10 :0 2 5 7 10 :0 2 7 8 10 :0 4 5 11 10 :0 4 7 11 10 :0 5 7 8 10 :0 5 7 11 10 :0 7 8 11 10 :0 2 4 5 7 10 :0 2 4 7 8 10 :0 2 4 7 11 10 :0 2 4 8 11 10 :0 2 5 7 8 10 :0 2 5 7 11 10 :0 2 7 8 11 10 :0 4 5 7 8 10 :0 4 5 7 11 10 :0 4 7 8 11 10 :0 5 7 8 11 10 :0 2 4 5 7 8 10 :0 2 4 5 7 11 10 :0 2 4 7 8 11 10 :0 2 5 7 8 11 10 :0 4 5 7 8 11 10 :0 2 4 5 7 8 11 Superset Chord Types by Root Set 0 :0 2 3 5 6 9 10 0 :0 2 3 4 5 6 9 10 0 :0 2 3 5 6 7 9 10 0 :0 1 2 3 4 5 6 9 10 0 :0 1 2 3 5 6 7 9 10 0 :0 2 3 4 5 6 7 9 10 0 :0 2 3 4 5 6 9 10 11 0 :0 2 3 5 6 7 8 9 10 0 :0 2 3 5 6 8 9 10 11 0 :0 1 2 3 4 5 6 9 10 11 0 :0 2 3 4 5 6 7 8 9 10 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 4 6 9 :0 1 2 3 4 5 6 8 9 10 11 0 2 5 8 9 :0 1 2 3 4 5 6 7 8 9 10 0 3 :0 2 3 5 6 7 9 10 11 0 3 :0 1 2 3 5 6 7 9 10 11 0 3 :0 2 3 4 5 6 7 9 10 11 0 3 4 7 9 :0 1 2 3 5 6 7 8 9 10 11 0 3 5 8 11 :0 1 2 3 4 5 6 7 9 10 11 0 3 6 7 10 :0 2 3 4 5 6 7 8 9 10 11 0 3 7 :0 2 3 5 6 7 8 9 10 11 0 4 9 :0 1 2 3 5 6 8 9 10 11 0 5 8 :0 1 2 3 4 5 6 7 9 10 0 6 :0 2 3 4 5 6 8 9 10 11 0 9 :0 1 2 3 4 5 6 8 9 10 0 9 :0 1 2 3 5 6 7 8 9 10 1 :0 1 2 3 4 5 8 9 10 11 1 2 5 7 10 :0 1 2 3 4 5 7 8 9 10 11 1 3 6 9 10 :0 1 2 3 4 5 6 7 8 9 11 1 4 :0 1 2 4 5 6 8 9 10 11 1 4 5 8 10 :0 1 2 4 5 6 7 8 9 10 11 1 5 10 :0 1 2 4 5 7 8 9 10 11 1 6 9 :0 1 2 3 4 5 6 8 9 11 1 10 :0 1 2 4 5 7 8 9 11 1 10 :0 1 2 3 4 5 7 8 9 11 1 10 :0 1 2 4 5 6 7 8 9 11 2 :0 1 3 4 7 8 10 2 :0 1 2 3 4 7 8 10 2 :0 1 3 4 5 7 8 10 2 :0 1 3 4 6 7 8 10 2 :0 1 3 4 7 8 9 10 2 :0 1 3 4 7 8 10 11 2 :0 1 2 3 4 5 7 8 10 2 :0 1 2 3 4 6 7 8 10 2 :0 1 2 3 4 7 8 9 10 2 :0 1 2 3 4 7 8 10 11 2 :0 1 3 4 5 6 7 8 10 2 :0 1 3 4 5 7 8 10 11 2 :0 1 3 4 6 7 8 9 10 2 :0 1 3 4 7 8 9 10 11 2 :0 1 2 3 4 5 6 7 8 10 2 :0 1 2 3 4 7 8 9 10 11 2 3 6 8 11 :0 1 2 3 4 6 7 8 9 10 11 2 4 7 10 11 :0 1 2 3 4 5 6 7 8 10 11 2 5 :0 1 3 4 5 7 8 9 10 2 5 :0 1 2 3 4 5 7 8 9 10 2 5 :0 1 3 4 5 7 8 9 10 11 2 5 6 9 11 :0 1 3 4 5 6 7 8 9 10 11 2 5 9 :0 1 3 4 5 6 7 8 9 10 2 6 11 :0 1 3 4 6 7 8 9 10 11 2 7 10 :0 1 2 3 4 5 7 8 10 11 2 8 :0 1 2 3 4 6 7 8 9 10 2 11 :0 1 3 4 6 7 8 10 11 2 11 :0 1 2 3 4 6 7 8 10 11 2 11 :0 1 3 4 5 6 7 8 10 11 3 :0 2 3 6 7 9 11 3 :0 1 2 3 6 7 9 11 3 :0 2 3 4 6 7 9 11 3 :0 2 3 5 6 7 9 11 3 :0 2 3 6 7 8 9 11 3 :0 2 3 6 7 9 10 11 3 :0 1 2 3 4 6 7 9 11 3 :0 1 2 3 5 6 7 9 11 3 :0 2 3 4 5 6 7 9 11 3 :0 1 2 3 6 7 8 9 11 3 :0 1 2 3 6 7 9 10 11 3 :0 2 3 4 6 7 9 10 11 3 :0 2 3 5 6 7 8 9 11 3 :0 2 3 6 7 8 9 10 11 3 :0 1 2 3 4 5 6 7 9 11 3 :0 1 2 3 6 7 8 9 10 11 3 6 :0 2 3 4 6 7 8 9 11 3 6 :0 1 2 3 4 6 7 8 9 11 3 6 :0 2 3 4 6 7 8 9 10 11 3 6 10 :0 2 3 4 5 6 7 8 9 11 3 8 11 :0 1 2 3 4 6 7 9 10 11 3 9 :0 1 2 3 5 6 7 8 9 11 4 :0 1 2 3 4 5 6 8 10 11 4 :0 1 2 5 6 7 8 9 10 11 4 7 :0 1 2 3 5 6 7 8 10 11 4 10 :0 1 2 4 5 6 7 8 10 11 5 :0 1 4 5 7 9 10 5 :0 1 2 4 5 7 9 10 5 :0 1 3 4 5 7 9 10 5 :0 1 4 5 6 7 9 10 5 :0 1 4 5 7 8 9 10 5 :0 1 4 5 7 9 10 11 5 :0 1 2 3 4 5 7 9 10 5 :0 1 3 4 5 6 7 9 10 5 :0 1 2 4 5 7 8 9 10 5 :0 1 2 4 5 7 9 10 11 5 :0 1 3 4 5 7 9 10 11 5 :0 1 4 5 6 7 8 9 10 5 :0 1 4 5 6 7 9 10 11 5 :0 1 4 5 7 8 9 10 11 5 :0 1 2 3 4 5 7 9 10 11 5 :0 1 4 5 6 7 8 9 10 11 5 8 :0 1 2 4 5 6 7 9 10 5 8 :0 1 2 4 5 6 7 8 9 10 5 8 :0 1 2 4 5 6 7 9 10 11 5 11 :0 1 3 4 5 6 7 9 10 11 6 :0 3 4 6 8 9 11 6 :0 3 4 6 7 8 9 11 6 :0 1 3 4 6 7 8 9 11 6 :0 3 4 5 6 7 8 9 11 6 :0 3 4 6 7 8 9 10 11 6 :0 1 2 3 4 6 8 9 10 11 6 :0 3 4 5 6 7 8 9 10 11 6 9 :0 1 3 4 5 6 7 8 9 11 6 9 :0 1 3 4 5 6 8 9 10 11 7 :0 2 3 5 7 8 10 11 7 :0 1 2 3 5 7 8 10 11 7 :0 2 3 5 6 7 8 10 11 7 :0 2 3 5 7 8 9 10 11 7 :0 1 2 3 5 7 8 9 10 11 7 10 :0 2 3 4 5 7 8 10 11 7 10 :0 2 3 4 5 6 7 8 10 11 7 10 :0 2 3 4 5 7 8 9 10 11 8 :0 1 2 4 6 7 9 10 8 :0 1 2 3 4 6 7 9 10 8 :0 1 2 4 6 7 8 9 10 8 :0 1 2 4 6 7 9 10 11 8 :0 1 2 4 6 7 8 9 10 11 9 :0 1 3 5 6 7 8 9 9 :0 1 2 3 5 6 7 8 9 9 :0 1 2 3 5 6 8 9 11 9 :0 1 3 5 6 7 8 9 10 9 :0 1 3 5 6 7 8 9 11 9 :0 1 2 3 4 5 6 7 8 9 9 :0 1 3 5 6 7 8 9 10 11 10 :0 2 4 5 7 8 11 10 :0 1 2 4 5 7 8 11 10 :0 2 3 4 5 7 8 11 10 :0 2 4 5 6 7 8 11 10 :0 2 4 5 7 8 9 11 10 :0 2 4 5 7 8 10 11 10 :0 1 2 3 4 5 7 8 11 10 :0 1 2 4 5 6 7 8 11 10 :0 2 3 4 5 6 7 8 11 10 :0 1 2 4 5 7 8 10 11 10 :0 2 3 4 5 7 8 9 11 10 :0 2 4 5 6 7 8 9 11 10 :0 2 4 5 6 7 8 10 11 10 :0 2 4 5 7 8 9 10 11 10 :0 1 2 3 4 5 6 7 8 11 10 :0 2 4 5 6 7 8 9 10 11 11 :0 1 3 4 6 7 10 11 11 :0 1 2 3 4 6 7 10 11 11 :0 1 3 4 5 6 7 10 11 11 :0 1 3 4 6 7 9 10 11 11 :0 1 2 3 4 5 6 7 10 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 2 3 5 6 9 10 = 0: 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 = 3: 0 2 3 6 7 9 11 = 5: 0 1 4 5 7 9 10 = 6: 0 3 4 6 8 9 11 = 9: 0 1 3 5 6 8 9 = 10: 0 2 4 5 7 8 11 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 2 5 9 = 2: 0 3 7 = 5: 0 4 9 = 9: 0 5 8 0 2 = maj. 2nd, dim., maj. 9th | 0 3 10 = 0: 0 3 10 = 3: 0 7 9 = 10: 0 2 5 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 2 3 6 9 = 0: 0 2 3 6 9 = 2: 0 1 4 7 10 = 3: 0 3 6 9 11 = 6: 0 3 6 8 9 = 9: 0 3 5 6 9 0 4 = maj. 3rd, maj. 10th, dim. 4th | 2 5 6 10 = 2: 0 3 4 8 = 5: 0 1 5 9 = 6: 0 4 8 11 = 10: 0 4 7 8 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 0 5 9 10 = 0: 0 5 9 10 = 5: 0 4 5 7 = 9: 0 1 3 8 = 10: 0 2 7 11 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 2 3 5 10 = 2: 0 1 3 8 = 3: 0 2 7 11 = 5: 0 5 9 10 = 10: 0 4 5 7 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 2 6 9 10 = 2: 0 4 7 8 = 6: 0 3 4 8 = 9: 0 1 5 9 = 10: 0 4 8 11 0 9 = maj. 6th, maj. 13th, dim. 7th | 0 3 5 6 9 = 0: 0 3 5 6 9 = 3: 0 2 3 6 9 = 5: 0 1 4 7 10 = 6: 0 3 6 9 11 = 9: 0 3 6 8 9 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 0 2 5 = 0: 0 2 5 = 2: 0 3 10 = 5: 0 7 9 0 11 = maj. 7th, maj. 14th | 3 6 10 = 3: 0 3 7 = 6: 0 4 9 = 10: 0 5 8 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 2 9 = 2: 0 7 = 9: 0 5 0 1 4 | 2 5 = 2: 0 3 = 5: 0 9 0 2 3 = min. trichord | 0 3 = 0: 0 3 = 3: 0 9 0 2 4 = maj. trichord | 10 = 10: 0 0 3 4 | 2 6 = 2: 0 4 = 6: 0 8 Sus2 triads (Scale Degrees: 125) 0 1 7 | 2 5 = 2: 0 3 = 5: 0 9 0 2 7 = sus2, 3 in 5ths | 3 10 = 3: 0 7 = 10: 0 5 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 9 = 0: 0 9 = 9: 0 3 0 4 5 | 5 10 = 5: 0 5 = 10: 0 7 Triads (Scale Degrees: 135) 0 3 6 = dim. | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 7 = m = minor | 2 3 = 2: 0 1 = 3: 0 11 0 4 6 = Mb5 | 6 = 6: 0 0 4 7 = M = major | 2 5 10 = 2: 0 3 8 = 5: 0 5 9 = 10: 0 4 7 0 4 8 = + = augmented | 2 6 10 = 2: 0 4 8 = 6: 0 4 8 = 10: 0 4 8 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 4 9 = M6 no 5th | 5 6 = 5: 0 1 = 6: 0 11 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 0 2 = 0: 0 2 = 2: 0 10 0 3 11 = mM7 no 5th | 3 6 = 3: 0 3 = 6: 0 9 0 4 10 = 7 no 5th | 2 5 = 2: 0 3 = 5: 0 9 0 4 11 = M7 no 5th | 6 10 = 6: 0 4 = 10: 0 8 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 5 10 = 5: 0 5 = 10: 0 7 0 6 7 = sus#4, Viennese trichord | 3 = 3: 0 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 0 5 = 0: 0 5 = 5: 0 7 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 2 10 = 2: 0 8 = 10: 0 4 0 7 9 | 3 5 = 3: 0 2 = 5: 0 10 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 2 5 = 2: 0 3 = 5: 0 9 0 7 11 = M power chord | 3 10 = 3: 0 7 = 10: 0 5 chromatic tetrachord (Scale Degrees: 1223) 0 1 3 4 = 1st 4 aux dim. | 2 = 2: 0 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 9 = 9: 0 0 1 4 5 = Greek chromatic tetrachord | 5 = 5: 0 0 2 3 5 = min. tetrachord | 0 = 0: 0 0 2 4 5 = maj. tetrachord | 10 = 10: 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 1 4 7 = M add b9 | 2 5 = 2: 0 3 = 5: 0 9 0 2 3 6 = dim. add 9 | 0 3 = 0: 0 3 = 3: 0 9 0 2 3 7 = m add9 | 3 = 3: 0 0 2 4 7 = add9 , Mu chord | 10 = 10: 0 0 3 4 6 = Mb5 add #9 | 6 = 6: 0 0 3 4 7 = add #9, maj-min chord | 2 = 2: 0 0 3 4 8 = aug. add #9 | 2 6 = 2: 0 4 = 6: 0 8 6/9 chord no 5th (Scale Degrees: 1236) 0 1 4 9 | 5 = 5: 0 0 3 4 9 | 6 = 6: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 10 = M7b9 no 5th | 2 = 2: 0 0 1 4 10 = 7b9 no 5th | 2 5 = 2: 0 3 = 5: 0 9 0 2 3 10 = m9 no 5th | 0 = 0: 0 0 2 3 11 = mM9 no 5th | 3 = 3: 0 0 2 4 11 = M9 no 5th | 10 = 10: 0 0 3 4 10 = 7#9 no 5th, Hendrix, all-int | 2 = 2: 0 0 3 4 11 = M7#9 no 5th | 6 = 6: 0 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 5 = 5: 0 0 2 5 7 | 10 = 10: 0 0 2 6 7 | 3 = 3: 0 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 2 = 2: 0 0 1 7 9 = all-int | 5 = 5: 0 0 2 7 8 | 10 = 10: 0 0 2 7 9 = 4 in 5ths | 3 = 3: 0 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 10 = 7b9 no 3rd, -7b9 no 3rd | 2 5 = 2: 0 3 = 5: 0 9 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 = 0: 0 0 2 9 11 | 3 = 3: 0 Add 11 Chords (Scale Degrees: 1345) 0 3 5 6 = blues tetrachord | 0 9 = 0: 0 9 = 9: 0 3 0 3 6 7 = m add #11 | 3 = 3: 0 0 4 5 7 = M add 11 | 5 10 = 5: 0 5 = 10: 0 7 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 10 = m11 no 5th 7th 9th, 4 in 4ths | 0 = 0: 0 0 4 5 10 | 5 = 5: 0 0 4 5 11 | 10 = 10: 0 6th Chords (Scale Degrees: 1356) 0 3 6 9 = dim. 7, m6b5 | 0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9 0 3 7 8 = mb6 | 2 = 2: 0 0 3 7 9 = m6 , Tristan chord | 3 = 3: 0 0 4 7 8 = Mb6 | 2 10 = 2: 0 8 = 10: 0 4 0 4 7 9 = 6 | 5 = 5: 0 7th Chords (Scale Degrees: 1357) 0 3 6 10 = m7b5, Tristan chord, half-dim. 7th | 0 = 0: 0 0 3 6 11 = mM7b5, dim. maj. 7th chord | 3 6 = 3: 0 3 = 6: 0 9 0 3 7 10 = m7 | 2 = 2: 0 0 3 7 11 = mM7 | 3 = 3: 0 0 4 6 11 = M7b5 | 6 = 6: 0 0 4 7 10 = 7, German aug. 6th chord | 2 5 = 2: 0 3 = 5: 0 9 0 4 7 11 = M7 | 10 = 10: 0 0 4 8 10 = 7#5 | 2 = 2: 0 0 4 8 11 = M7#5 | 6 10 = 6: 0 4 = 10: 0 8 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 10 = m7/6 no 5th | 0 = 0: 0 0 3 9 11 = mM7/6 no 5th | 3 6 = 3: 0 3 = 6: 0 9 0 4 9 10 = 7/6 no 5th, all-int | 5 = 5: 0 0 4 9 11 = M7/6 no 5th | 6 = 6: 0 Scale Degrees: 1456 0 5 7 8 | 10 = 10: 0 0 5 7 9 | 5 = 5: 0 0 6 7 9 | 3 = 3: 0 Sus 4 7th Chords (Scale Degrees: 1457) 0 5 7 10 = 7sus4 | 5 = 5: 0 0 5 7 11 = M7sus4 | 10 = 10: 0 0 6 7 11 = M7sus#4 | 3 = 3: 0 Scale Degrees: 1567 0 7 8 10 | 2 = 2: 0 0 7 8 11 | 10 = 10: 0 0 7 9 10 | 5 = 5: 0 0 7 9 11 | 3 = 3: 0 Scale Degrees: 12235 0 1 3 4 7 | 2 = 2: 0 0 1 3 4 8 = Farben chord | 2 = 2: 0 Scale Degrees: 12237 0 1 3 4 10 | 2 = 2: 0 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 5 6 = locrian pentachord | 9 = 9: 0 0 1 4 5 7 = phrygian maj. pentachord | 5 = 5: 0 0 2 3 5 6 | 0 = 0: 0 0 2 3 6 7 = lydian min. pentachord | 3 = 3: 0 0 2 4 5 7 = maj. pentachord | 10 = 10: 0 11th chords no 5th (Scale Degrees: 12347) 0 1 4 5 10 | 5 = 5: 0 6/9 chords (Scale Degrees: 12356) 0 1 3 6 9 | 9 = 9: 0 0 1 3 7 8 | 2 = 2: 0 0 1 4 7 8 = Bridge chord | 2 = 2: 0 0 1 4 7 9 = Elektra chord | 5 = 5: 0 0 2 3 7 9 = m6/9, akebono, Thai1 | 3 = 3: 0 0 2 4 7 8 | 10 = 10: 0 0 3 4 6 9 | 6 = 6: 0 0 3 4 7 8 | 2 = 2: 0 9th chords (Scale Degrees: 12357) 0 1 3 7 10 = m7b9 | 2 = 2: 0 0 1 4 7 10 = 7b9 | 2 5 = 2: 0 3 = 5: 0 9 0 1 4 8 10 = 7#5b9 | 2 = 2: 0 0 2 3 6 10 = m9b5 | 0 = 0: 0 0 2 3 6 11 = mM9b5 | 3 = 3: 0 0 2 3 7 11 = mM9, Farben chord | 3 = 3: 0 0 2 4 7 11 = M9 | 10 = 10: 0 0 2 4 8 11 = M9#5 | 10 = 10: 0 0 3 4 6 11 = M7b5#9 | 6 = 6: 0 0 3 4 7 10 = 7#9 | 2 = 2: 0 0 3 4 8 10 = 7#5#9 | 2 = 2: 0 0 3 4 8 11 = M7#5#9 | 6 = 6: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 1 4 9 10 = 13b9 no 5th no 11th | 5 = 5: 0 0 2 3 9 10 = m13 no 5th no 11th | 0 = 0: 0 0 2 3 9 11 = M13 no 5th no 11th | 3 = 3: 0 0 3 4 9 11 = M13#9 no 5th no 11th | 6 = 6: 0 Scale Degrees: 12456 0 1 5 7 9 | 5 = 5: 0 0 2 5 7 8 = kokin joshi | 10 = 10: 0 0 2 6 7 9 = Javanese pelog pathet barang | 3 = 3: 0 11th chords no 3rd (Scale Degrees: 12457) 0 1 5 7 10 = Insenpo (Insen), han iwato | 5 = 5: 0 0 2 5 7 11 = M11 no 3rd, batti maj. | 10 = 10: 0 0 2 6 7 11 | 3 = 3: 0 13th chords no 3rd no 11th (Scale Degrees: 12567) 0 1 7 8 10 | 2 = 2: 0 0 1 7 9 10 | 5 = 5: 0 0 2 7 8 11 | 10 = 10: 0 0 2 7 9 11 | 3 = 3: 0 Scale Degrees: 13456 0 3 5 6 8 | 9 = 9: 0 0 3 6 7 9 | 3 = 3: 0 0 4 5 7 8 | 10 = 10: 0 0 4 5 7 9 | 5 = 5: 0 11th Chords no 9th (Scale Degrees: 13457) 0 3 5 6 10 = m11b5 no 9th | 0 = 0: 0 0 3 6 7 11 = mM7#11 no 9th, batti min. 4/7# | 3 = 3: 0 0 4 5 7 10 = 11 no 9th | 5 = 5: 0 0 4 5 7 11 = M11 no 9th, ryukuan | 10 = 10: 0 7/6 Chords (Scale Degrees: 13567) 0 3 7 8 10 = m7/b6 | 2 = 2: 0 0 3 7 9 11 = mM7/6 | 3 = 3: 0 0 4 7 8 10 = 7/b6 | 2 = 2: 0 0 4 7 8 11 = M7/b6 | 10 = 10: 0 0 4 7 9 10 = 7/6, boogie woogie | 5 = 5: 0 13th chords no 3rd no 9th (Scale Degrees: 14567) 0 5 7 8 11 | 10 = 10: 0 0 5 7 9 10 | 5 = 5: 0 0 6 7 9 11 | 3 = 3: 0 Scale Degrees: 122356 0 1 3 4 7 8 | 2 = 2: 0 Scale Degrees: 122357 0 1 3 4 7 10 | 2 = 2: 0 0 1 3 4 8 10 | 2 = 2: 0 1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456) 0 1 4 5 7 9 | 5 = 5: 0 0 2 3 6 7 9 = Bridge chord | 3 = 3: 0 0 2 4 5 7 8 | 10 = 10: 0 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 4 5 7 10 = 11b9 | 5 = 5: 0 0 2 3 5 6 10 = m11b5 | 0 = 0: 0 0 2 3 6 7 11 = mM#11 | 3 = 3: 0 0 2 4 5 7 11 = M11 | 10 = 10: 0 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 1 3 7 8 10 = mb13b9 no 11th | 2 = 2: 0 0 1 4 7 8 10 = 7b13b9 no 11th | 2 = 2: 0 0 1 4 7 9 10 = 13b9 no 11th | 5 = 5: 0 0 2 3 7 9 11 = mM 13 no 11th | 3 = 3: 0 0 2 4 7 8 11 = M7b13 no 11th | 10 = 10: 0 0 3 4 7 8 10 = 7b13#9 no 11th | 2 = 2: 0 0 3 4 8 9 11 = M13#5#9 no 11th | 6 = 6: 0 diamorphic scales no 3rd (Scale Degrees: 124567) 0 1 5 7 9 10 | 5 = 5: 0 0 2 5 7 8 11 | 10 = 10: 0 0 2 6 7 9 11 | 3 = 3: 0 diamorphic scales no 2nd (Scale Degrees: 134567) 0 3 6 7 9 11 = mM13#11 no 9th | 3 = 3: 0 0 4 5 7 8 11 = M7b13 no 9th | 10 = 10: 0 0 4 5 7 9 10 = 13 no 9th | 5 = 5: 0 Scale Degrees: 1223567 0 1 3 4 7 8 10 = Shostakovitch, alt. scale | 2 = 2: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 4 5 7 9 10 = 13b9, neapolitan mixolydian, Chakravakam | 5 = 5: 0 0 2 3 5 6 9 10 = m13b5, doric locrian, kiordi asc. | 0 = 0: 0 0 2 3 6 7 9 11 = mM13#11, lydian dim., Dharmavati | 3 = 3: 0 0 2 4 5 7 8 11 = Mb13, Harmonic maj., Sarasangi, suzinak | 10 = 10: 0 0 3 4 6 8 9 11 = mM13#5#9 | 6 = 6: 0 Superset Chord Types By Family Chord Type Roots Scale Degrees: 1223567 0 1 3 4 7 8 10 = Shostakovitch, alt. scale | 2 = 2: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 4 5 7 9 10 = 13b9, neapolitan mixolydian, Chakravakam | 5 = 5: 0 0 2 3 5 6 9 10 = m13b5, doric locrian, kiordi asc. | 0 = 0: 0 0 2 3 6 7 9 11 = mM13#11, lydian dim., Dharmavati | 3 = 3: 0 0 2 4 5 7 8 11 = Mb13, Harmonic maj., Sarasangi, suzinak | 10 = 10: 0 0 3 4 6 8 9 11 = mM13#5#9 | 6 = 6: 0 Scale Degrees: 12223567 0 1 2 3 4 7 8 10 | 2 = 2: 0 diamorphic with supplementary 2nd (Scale Degrees: 12234567) 0 1 2 3 6 7 9 11 | 3 = 3: 0 0 1 2 4 5 7 8 11 | 10 = 10: 0 0 1 2 4 5 7 9 10 | 5 = 5: 0 0 1 2 4 6 7 9 10 | 8 = 8: 0 0 1 3 4 5 7 8 10 = 8-tone Span. phrygian, Flamenco | 2 = 2: 0 0 1 3 4 5 7 9 10 | 5 = 5: 0 0 1 3 4 6 7 8 10 | 2 = 2: 0 0 1 3 4 6 7 10 11 | 11 = 11: 0 0 2 3 4 5 6 9 10 | 0 = 0: 0 0 2 3 4 5 7 8 11 | 10 = 10: 0 0 2 3 4 6 7 9 11 | 3 = 3: 0 Scale Degrees: 12235667 0 1 3 4 7 8 9 10 = ultraphrygian | 2 = 2: 0 0 1 3 4 7 8 10 11 | 2 = 2: 0 Scale Degrees: 12344566 0 1 3 5 6 7 8 9 | 9 = 9: 0 diamorphic with supplementary 4th (Scale Degrees: 12344567) 0 1 4 5 6 7 9 10 | 5 = 5: 0 0 2 3 5 6 7 9 10 | 0 = 0: 0 0 2 3 5 6 7 9 11 | 3 = 3: 0 0 2 4 5 6 7 8 11 | 10 = 10: 0 diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 4 5 7 8 9 10 = Gayakapriya, 014589 & dom.7 | 5 = 5: 0 0 1 4 5 7 9 10 11 | 5 = 5: 0 0 2 3 5 7 8 10 11 = Bebop harm. min. | 7 = 7: 0 0 2 3 6 7 8 9 11 | 3 = 3: 0 0 2 3 6 7 9 10 11 = Romanian min., Ukranian Dorian | 3 = 3: 0 0 2 4 5 7 8 9 11 = bebop maj. | 10 = 10: 0 0 2 4 5 7 8 10 11 = Charukesi | 10 = 10: 0 0 3 4 6 7 8 9 11 | 6 = 6: 0 diamorphic with supplementary 2nd, 3rd (Scale Degrees: 122334567) 0 1 2 3 4 5 6 9 10 | 0 = 0: 0 0 1 2 3 4 5 7 8 10 | 2 = 2: 0 0 1 2 3 4 5 7 8 11 | 10 = 10: 0 0 1 2 3 4 5 7 9 10 | 5 = 5: 0 0 1 2 3 4 6 7 8 10 | 2 = 2: 0 0 1 2 3 4 6 7 9 10 | 8 = 8: 0 0 1 2 3 4 6 7 9 11 | 3 = 3: 0 0 1 2 3 4 6 7 10 11 | 11 = 11: 0 Scale Degrees: 122335667 0 1 2 3 4 7 8 9 10 | 2 = 2: 0 0 1 2 3 4 7 8 10 11 | 2 = 2: 0 Scale Degrees: 122344566 0 1 2 3 5 6 7 8 9 | 9 = 9: 0 diamorphic with supplementary 2nd, 4th (Scale Degrees: 122344567) 0 1 2 3 5 6 7 9 10 = 12569A & m7, 12569A & min. pentat. | 0 = 0: 0 0 1 2 3 5 6 7 9 11 | 3 = 3: 0 0 1 2 3 5 6 8 9 11 | 9 = 9: 0 0 1 2 4 5 6 7 8 11 | 10 = 10: 0 0 1 2 4 5 6 7 9 10 = 12569A & dom. 7 | 5 8 = 5: 0 3 = 8: 0 9 0 1 3 4 5 6 7 8 10 | 2 = 2: 0 0 1 3 4 5 6 7 9 10 | 5 = 5: 0 0 1 3 4 5 6 7 10 11 | 11 = 11: 0 0 2 3 4 5 6 7 8 11 | 10 = 10: 0 0 2 3 4 5 6 7 9 10 | 0 = 0: 0 0 2 3 4 5 6 7 9 11 = lydian & mel. min. | 3 = 3: 0 diamorphic with supplementary 2nd, 6th (Scale Degrees: 122345667) 0 1 2 3 5 7 8 10 11 = phrygian & harm. min. | 7 = 7: 0 0 1 2 3 6 7 8 9 11 | 3 = 3: 0 0 1 2 3 6 7 9 10 11 | 3 = 3: 0 0 1 2 4 5 7 8 9 10 | 5 = 5: 0 0 1 2 4 5 7 8 9 11 | 1 10 = 1: 0 9 = 10: 0 3 0 1 2 4 5 7 8 10 11 | 10 = 10: 0 0 1 2 4 5 7 9 10 11 | 5 = 5: 0 0 1 2 4 6 7 8 9 10 | 8 = 8: 0 0 1 2 4 6 7 9 10 11 | 8 = 8: 0 0 1 3 4 5 7 8 9 10 = 014589 & min. pentat. | 2 5 = 2: 0 3 = 5: 0 9 0 1 3 4 5 7 8 10 11 = phrygian & aug. scale | 2 = 2: 0 0 1 3 4 5 7 9 10 11 | 5 = 5: 0 0 1 3 4 6 7 8 9 10 | 2 = 2: 0 0 1 3 4 6 7 8 9 11 | 6 = 6: 0 0 1 3 4 6 7 8 10 11 | 2 11 = 2: 0 9 = 11: 0 3 0 1 3 4 6 7 9 10 11 | 11 = 11: 0 0 2 3 4 5 6 9 10 11 | 0 = 0: 0 0 2 3 4 5 7 8 9 11 = ionian & harm. min. | 10 = 10: 0 0 2 3 4 5 7 8 10 11 = aeolean & aug. scale, 03478B & bebop min. | 7 10 = 7: 0 3 = 10: 0 9 0 2 3 4 6 7 8 9 11 = lydian & aug. scale | 3 6 = 3: 0 3 = 6: 0 9 0 2 3 4 6 7 9 10 11 | 3 = 3: 0 Scale Degrees: 122356677 0 1 3 4 7 8 9 10 11 | 2 = 2: 0 diamorphic with supplementary 4th, 6th (Scale Degrees: 123445667) 0 1 3 5 6 7 8 9 10 | 9 = 9: 0 0 1 3 5 6 7 8 9 11 | 9 = 9: 0 0 1 4 5 6 7 8 9 10 | 5 = 5: 0 0 2 3 5 6 7 8 9 10 | 0 = 0: 0 0 2 3 5 6 7 8 9 11 | 3 = 3: 0 0 2 3 5 6 8 9 10 11 | 0 = 0: 0 0 2 4 5 6 7 8 9 11 | 10 = 10: 0 diamorphic with supplementary 4th, 7th (Scale Degrees: 123445677) 0 1 4 5 6 7 9 10 11 | 5 = 5: 0 0 2 3 5 6 7 8 10 11 = 2367AB & bebop min. | 7 = 7: 0 0 2 3 5 6 7 9 10 11 = 2367AB & mel. min. | 0 3 = 0: 0 3 = 3: 0 9 0 2 4 5 6 7 8 10 11 | 10 = 10: 0 0 3 4 5 6 7 8 9 11 | 6 = 6: 0 diamorphic with supplementary 6th, 7th (Scale Degrees: 123456677) 0 1 4 5 7 8 9 10 11 | 5 = 5: 0 0 2 3 5 7 8 9 10 11 = dorian & harm. min., aeolean & mel. min. | 7 = 7: 0 0 2 3 6 7 8 9 10 11 | 3 = 3: 0 0 2 4 5 7 8 9 10 11 | 10 = 10: 0 0 3 4 6 7 8 9 10 11 | 6 = 6: 0 chromatic decachord (Scale Degrees: 1223344566) 0 1 2 3 4 5 6 7 8 9 = 1st 10 chromatics | 9 = 9: 0 diamorphic with supplementary 2nd, 3rd, 4th (Scale Degrees: 1223344567) 0 1 2 3 4 5 6 7 8 10 = whole tone & phrygian | 2 = 2: 0 0 1 2 3 4 5 6 7 8 11 | 10 = 10: 0 0 1 2 3 4 5 6 7 9 10 = auxdim. scale & dorian | 0 5 8 = 0: 0 5 8 = 5: 0 3 7 = 8: 0 4 9 0 1 2 3 4 5 6 7 9 11 | 3 = 3: 0 0 1 2 3 4 5 6 7 10 11 | 11 = 11: 0 diamorphic with supplementary 2nd, 3rd, 6th (Scale Degrees: 1223345667) 0 1 2 3 4 5 6 8 9 10 | 0 9 = 0: 0 9 = 9: 0 3 0 1 2 3 4 5 6 8 9 11 | 1 6 9 = 1: 0 5 8 = 6: 0 3 7 = 9: 0 4 9 0 1 2 3 4 5 6 8 10 11 | 4 = 4: 0 0 1 2 3 4 5 6 9 10 11 | 0 = 0: 0 0 1 2 3 4 5 7 8 9 10 = mixophrygian | 2 5 = 2: 0 3 = 5: 0 9 0 1 2 3 4 5 7 8 9 11 = 014589 & mel. min. | 1 10 = 1: 0 9 = 10: 0 3 0 1 2 3 4 5 7 8 10 11 | 2 7 10 = 2: 0 5 8 = 7: 0 3 7 = 10: 0 4 9 0 1 2 3 4 5 7 9 10 11 | 5 = 5: 0 0 1 2 3 4 5 8 9 10 11 | 1 = 1: 0 0 1 2 3 4 6 7 8 9 10 | 2 8 = 2: 0 6 = 8: 0 6 0 1 2 3 4 6 7 8 9 11 = 10 in 5ths | 3 6 = 3: 0 3 = 6: 0 9 0 1 2 3 4 6 7 8 10 11 | 2 11 = 2: 0 9 = 11: 0 3 0 1 2 3 4 6 7 9 10 11 = auxdim. scale & lydian | 3 8 11 = 3: 0 5 8 = 8: 0 3 7 = 11: 0 4 9 0 1 2 3 4 6 8 9 10 11 | 6 = 6: 0 Scale Degrees: 1223356667 0 1 2 3 4 7 8 9 10 11 | 2 = 2: 0 diamorphic with supplementary 2nd, 4th, 6th (Scale Degrees: 1223445667) 0 1 2 3 5 6 7 8 9 10 = locridorian | 0 9 = 0: 0 9 = 9: 0 3 0 1 2 3 5 6 7 8 9 11 | 3 9 = 3: 0 6 = 9: 0 6 0 1 2 3 5 6 7 8 10 11 = locrian & harm. min. | 4 7 = 4: 0 3 = 7: 0 9 0 1 2 3 5 6 7 9 10 11 = 12569A & mel. min. | 0 3 = 0: 0 3 = 3: 0 9 0 1 2 3 5 6 8 9 10 11 = dim. scale & locrian | 0 4 9 = 0: 0 4 9 = 4: 0 5 8 = 9: 0 3 7 0 1 2 4 5 6 7 8 9 10 | 5 8 = 5: 0 3 = 8: 0 9 0 1 2 4 5 6 7 8 9 11 | 1 10 = 1: 0 9 = 10: 0 3 0 1 2 4 5 6 7 8 10 11 | 4 10 = 4: 0 6 = 10: 0 6 0 1 2 4 5 6 7 9 10 11 = 12569A & bebop maj. | 5 8 = 5: 0 3 = 8: 0 9 0 1 2 4 5 6 8 9 10 11 | 1 4 = 1: 0 3 = 4: 0 9 0 1 3 4 5 6 7 8 9 10 = auxdim. scale & phrygian, 014589 & auxdim. scale | 2 5 9 = 2: 0 3 7 = 5: 0 4 9 = 9: 0 5 8 0 1 3 4 5 6 7 8 9 11 | 6 9 = 6: 0 3 = 9: 0 9 0 1 3 4 5 6 7 8 10 11 = locrian & aug. scale | 2 11 = 2: 0 9 = 11: 0 3 0 1 3 4 5 6 7 9 10 11 | 5 11 = 5: 0 6 = 11: 0 6 0 2 3 4 5 6 7 8 9 10 | 0 = 0: 0 0 2 3 4 5 6 7 8 9 11 = lydian & harm. min. | 3 6 10 = 3: 0 3 7 = 6: 0 4 9 = 10: 0 5 8 0 2 3 4 5 6 7 8 10 11 |

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

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

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

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

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

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

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

Chord Type		Roots
Unison (Scale Degrees: 1)
0 = root, unison, octave	\|	0 2 3 5 6 9 10 = 0: 0 2 3 5 6 9 10 = 2: 0 1 3 4 7 8 10 = 3: 0 2 3 6 7 9 11 = 5: 0 1 4 5 7 9 10 = 6: 0 3 4 6 8 9 11 = 9: 0 1 3 5 6 8 9 = 10: 0 2 4 5 7 8 11

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

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

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

5ths / 12ths (Scale Degrees: 15)
0 7 = 5th, 2 in 5ths	\|	2 3 5 10 = 2: 0 1 3 8 = 3: 0 2 7 11 = 5: 0 5 9 10 = 10: 0 4 5 7

6ths / 13ths (Scale Degrees: 16)
0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th	\|	2 6 9 10 = 2: 0 4 7 8 = 6: 0 3 4 8 = 9: 0 1 5 9 = 10: 0 4 8 11
0 9 = maj. 6th, maj. 13th, dim. 7th	\|	0 3 5 6 9 = 0: 0 3 5 6 9 = 3: 0 2 3 6 9 = 5: 0 1 4 7 10 = 6: 0 3 6 9 11 = 9: 0 3 6 8 9

7ths / 14ths (Scale Degrees: 17)
0 10 = aug. 6th, min. 7th, aug. 13th	\|	0 2 5 = 0: 0 2 5 = 2: 0 3 10 = 5: 0 7 9
0 11 = maj. 7th, maj. 14th	\|	3 6 10 = 3: 0 3 7 = 6: 0 4 9 = 10: 0 5 8

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	2 9 = 2: 0 7 = 9: 0 5
0 1 4	\|	2 5 = 2: 0 3 = 5: 0 9
0 2 3 = min. trichord	\|	0 3 = 0: 0 3 = 3: 0 9
0 2 4 = maj. trichord	\|	10 = 10: 0
0 3 4	\|	2 6 = 2: 0 4 = 6: 0 8

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

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 9 = 0: 0 9 = 9: 0 3
0 4 5	\|	5 10 = 5: 0 5 = 10: 0 7

Triads (Scale Degrees: 135)
0 3 6 = dim.	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9
0 3 7 = m = minor	\|	2 3 = 2: 0 1 = 3: 0 11
0 4 6 = Mb5	\|	6 = 6: 0
0 4 7 = M = major	\|	2 5 10 = 2: 0 3 8 = 5: 0 5 9 = 10: 0 4 7
0 4 8 = + = augmented	\|	2 6 10 = 2: 0 4 8 = 6: 0 4 8 = 10: 0 4 8

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9
0 4 9 = M6 no 5th	\|	5 6 = 5: 0 1 = 6: 0 11

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	0 2 = 0: 0 2 = 2: 0 10
0 3 11 = mM7 no 5th	\|	3 6 = 3: 0 3 = 6: 0 9
0 4 10 = 7 no 5th	\|	2 5 = 2: 0 3 = 5: 0 9
0 4 11 = M7 no 5th	\|	6 10 = 6: 0 4 = 10: 0 8

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

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

6th chords no 3rd (Scale Degrees: 156)
0 7 8	\|	2 10 = 2: 0 8 = 10: 0 4
0 7 9	\|	3 5 = 3: 0 2 = 5: 0 10

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

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

1st 3 notes of diamorphic scale (Scale Degrees: 1234)
0 1 3 5 = Greek diatonic tetrachord	\|	9 = 9: 0
0 1 4 5 = Greek chromatic tetrachord	\|	5 = 5: 0
0 2 3 5 = min. tetrachord	\|	0 = 0: 0
0 2 4 5 = maj. tetrachord	\|	10 = 10: 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 1 4 7 = M add b9	\|	2 5 = 2: 0 3 = 5: 0 9
0 2 3 6 = dim. add 9	\|	0 3 = 0: 0 3 = 3: 0 9
0 2 3 7 = m add9	\|	3 = 3: 0
0 2 4 7 = add9 , Mu chord	\|	10 = 10: 0
0 3 4 6 = Mb5 add #9	\|	6 = 6: 0
0 3 4 7 = add #9, maj-min chord	\|	2 = 2: 0
0 3 4 8 = aug. add #9	\|	2 6 = 2: 0 4 = 6: 0 8

6/9 chord no 5th (Scale Degrees: 1236)
0 1 4 9	\|	5 = 5: 0
0 3 4 9	\|	6 = 6: 0

9th chords no 5th (Scale Degrees: 1237)
0 1 3 10 = M7b9 no 5th	\|	2 = 2: 0
0 1 4 10 = 7b9 no 5th	\|	2 5 = 2: 0 3 = 5: 0 9
0 2 3 10 = m9 no 5th	\|	0 = 0: 0
0 2 3 11 = mM9 no 5th	\|	3 = 3: 0
0 2 4 11 = M9 no 5th	\|	10 = 10: 0
0 3 4 10 = 7#9 no 5th, Hendrix, all-int	\|	2 = 2: 0
0 3 4 11 = M7#9 no 5th	\|	6 = 6: 0

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

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

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

Add 11 Chords (Scale Degrees: 1345)
0 3 5 6 = blues tetrachord	\|	0 9 = 0: 0 9 = 9: 0 3
0 3 6 7 = m add #11	\|	3 = 3: 0
0 4 5 7 = M add 11	\|	5 10 = 5: 0 5 = 10: 0 7

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

6th Chords (Scale Degrees: 1356)
0 3 6 9 = dim. 7, m6b5	\|	0 3 6 9 = 0: 0 3 6 9 = 3: 0 3 6 9 = 6: 0 3 6 9 = 9: 0 3 6 9
0 3 7 8 = mb6	\|	2 = 2: 0
0 3 7 9 = m6 , Tristan chord	\|	3 = 3: 0
0 4 7 8 = Mb6	\|	2 10 = 2: 0 8 = 10: 0 4
0 4 7 9 = 6	\|	5 = 5: 0

7th Chords (Scale Degrees: 1357)
0 3 6 10 = m7b5, Tristan chord, half-dim. 7th	\|	0 = 0: 0
0 3 6 11 = mM7b5, dim. maj. 7th chord	\|	3 6 = 3: 0 3 = 6: 0 9
0 3 7 10 = m7	\|	2 = 2: 0
0 3 7 11 = mM7	\|	3 = 3: 0
0 4 6 11 = M7b5	\|	6 = 6: 0
0 4 7 10 = 7, German aug. 6th chord	\|	2 5 = 2: 0 3 = 5: 0 9
0 4 7 11 = M7	\|	10 = 10: 0
0 4 8 10 = 7#5	\|	2 = 2: 0
0 4 8 11 = M7#5	\|	6 10 = 6: 0 4 = 10: 0 8

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 10 = m7/6 no 5th	\|	0 = 0: 0
0 3 9 11 = mM7/6 no 5th	\|	3 6 = 3: 0 3 = 6: 0 9
0 4 9 10 = 7/6 no 5th, all-int	\|	5 = 5: 0
0 4 9 11 = M7/6 no 5th	\|	6 = 6: 0

Scale Degrees: 1456
0 5 7 8	\|	10 = 10: 0
0 5 7 9	\|	5 = 5: 0
0 6 7 9	\|	3 = 3: 0

Sus 4 7th Chords (Scale Degrees: 1457)
0 5 7 10 = 7sus4	\|	5 = 5: 0
0 5 7 11 = M7sus4	\|	10 = 10: 0
0 6 7 11 = M7sus#4	\|	3 = 3: 0

Scale Degrees: 1567
0 7 8 10	\|	2 = 2: 0
0 7 8 11	\|	10 = 10: 0
0 7 9 10	\|	5 = 5: 0
0 7 9 11	\|	3 = 3: 0

Scale Degrees: 12235
0 1 3 4 7	\|	2 = 2: 0
0 1 3 4 8 = Farben chord	\|	2 = 2: 0

Scale Degrees: 12237
0 1 3 4 10	\|	2 = 2: 0

1st 5 notes of diamorphic scale (Scale Degrees: 12345)
0 1 3 5 6 = locrian pentachord	\|	9 = 9: 0
0 1 4 5 7 = phrygian maj. pentachord	\|	5 = 5: 0
0 2 3 5 6	\|	0 = 0: 0
0 2 3 6 7 = lydian min. pentachord	\|	3 = 3: 0
0 2 4 5 7 = maj. pentachord	\|	10 = 10: 0

11th chords no 5th (Scale Degrees: 12347)
0 1 4 5 10	\|	5 = 5: 0

6/9 chords (Scale Degrees: 12356)
0 1 3 6 9	\|	9 = 9: 0
0 1 3 7 8	\|	2 = 2: 0
0 1 4 7 8 = Bridge chord	\|	2 = 2: 0
0 1 4 7 9 = Elektra chord	\|	5 = 5: 0
0 2 3 7 9 = m6/9, akebono, Thai1	\|	3 = 3: 0
0 2 4 7 8	\|	10 = 10: 0
0 3 4 6 9	\|	6 = 6: 0
0 3 4 7 8	\|	2 = 2: 0

9th chords (Scale Degrees: 12357)
0 1 3 7 10 = m7b9	\|	2 = 2: 0
0 1 4 7 10 = 7b9	\|	2 5 = 2: 0 3 = 5: 0 9
0 1 4 8 10 = 7#5b9	\|	2 = 2: 0
0 2 3 6 10 = m9b5	\|	0 = 0: 0
0 2 3 6 11 = mM9b5	\|	3 = 3: 0
0 2 3 7 11 = mM9, Farben chord	\|	3 = 3: 0
0 2 4 7 11 = M9	\|	10 = 10: 0
0 2 4 8 11 = M9#5	\|	10 = 10: 0
0 3 4 6 11 = M7b5#9	\|	6 = 6: 0
0 3 4 7 10 = 7#9	\|	2 = 2: 0
0 3 4 8 10 = 7#5#9	\|	2 = 2: 0
0 3 4 8 11 = M7#5#9	\|	6 = 6: 0

13th chords no 5th no 11th (Scale Degrees: 12367)
0 1 4 9 10 = 13b9 no 5th no 11th	\|	5 = 5: 0
0 2 3 9 10 = m13 no 5th no 11th	\|	0 = 0: 0
0 2 3 9 11 = M13 no 5th no 11th	\|	3 = 3: 0
0 3 4 9 11 = M13#9 no 5th no 11th	\|	6 = 6: 0

Scale Degrees: 12456
0 1 5 7 9	\|	5 = 5: 0
0 2 5 7 8 = kokin joshi	\|	10 = 10: 0
0 2 6 7 9 = Javanese pelog pathet barang	\|	3 = 3: 0

11th chords no 3rd (Scale Degrees: 12457)
0 1 5 7 10 = Insenpo (Insen), han iwato	\|	5 = 5: 0
0 2 5 7 11 = M11 no 3rd, batti maj.	\|	10 = 10: 0
0 2 6 7 11	\|	3 = 3: 0

13th chords no 3rd no 11th (Scale Degrees: 12567)
0 1 7 8 10	\|	2 = 2: 0
0 1 7 9 10	\|	5 = 5: 0
0 2 7 8 11	\|	10 = 10: 0
0 2 7 9 11	\|	3 = 3: 0

Scale Degrees: 13456
0 3 5 6 8	\|	9 = 9: 0
0 3 6 7 9	\|	3 = 3: 0
0 4 5 7 8	\|	10 = 10: 0
0 4 5 7 9	\|	5 = 5: 0

11th Chords no 9th (Scale Degrees: 13457)
0 3 5 6 10 = m11b5 no 9th	\|	0 = 0: 0
0 3 6 7 11 = mM7#11 no 9th, batti min. 4/7#	\|	3 = 3: 0
0 4 5 7 10 = 11 no 9th	\|	5 = 5: 0
0 4 5 7 11 = M11 no 9th, ryukuan	\|	10 = 10: 0

7/6 Chords (Scale Degrees: 13567)
0 3 7 8 10 = m7/b6	\|	2 = 2: 0
0 3 7 9 11 = mM7/6	\|	3 = 3: 0
0 4 7 8 10 = 7/b6	\|	2 = 2: 0
0 4 7 8 11 = M7/b6	\|	10 = 10: 0
0 4 7 9 10 = 7/6, boogie woogie	\|	5 = 5: 0

13th chords no 3rd no 9th (Scale Degrees: 14567)
0 5 7 8 11	\|	10 = 10: 0
0 5 7 9 10	\|	5 = 5: 0
0 6 7 9 11	\|	3 = 3: 0

Scale Degrees: 122356
0 1 3 4 7 8	\|	2 = 2: 0

Scale Degrees: 122357
0 1 3 4 7 10	\|	2 = 2: 0
0 1 3 4 8 10	\|	2 = 2: 0

1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456)
0 1 4 5 7 9	\|	5 = 5: 0
0 2 3 6 7 9 = Bridge chord	\|	3 = 3: 0
0 2 4 5 7 8	\|	10 = 10: 0

11th chords = diamorphic scales no 6th (Scale Degrees: 123457)
0 1 4 5 7 10 = 11b9	\|	5 = 5: 0
0 2 3 5 6 10 = m11b5	\|	0 = 0: 0
0 2 3 6 7 11 = mM#11	\|	3 = 3: 0
0 2 4 5 7 11 = M11	\|	10 = 10: 0

13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567)
0 1 3 7 8 10 = mb13b9 no 11th	\|	2 = 2: 0
0 1 4 7 8 10 = 7b13b9 no 11th	\|	2 = 2: 0
0 1 4 7 9 10 = 13b9 no 11th	\|	5 = 5: 0
0 2 3 7 9 11 = mM 13 no 11th	\|	3 = 3: 0
0 2 4 7 8 11 = M7b13 no 11th	\|	10 = 10: 0
0 3 4 7 8 10 = 7b13#9 no 11th	\|	2 = 2: 0
0 3 4 8 9 11 = M13#5#9 no 11th	\|	6 = 6: 0

diamorphic scales no 3rd (Scale Degrees: 124567)
0 1 5 7 9 10	\|	5 = 5: 0
0 2 5 7 8 11	\|	10 = 10: 0
0 2 6 7 9 11	\|	3 = 3: 0

diamorphic scales no 2nd (Scale Degrees: 134567)
0 3 6 7 9 11 = mM13#11 no 9th	\|	3 = 3: 0
0 4 5 7 8 11 = M7b13 no 9th	\|	10 = 10: 0
0 4 5 7 9 10 = 13 no 9th	\|	5 = 5: 0

Scale Degrees: 1223567
0 1 3 4 7 8 10 = Shostakovitch, alt. scale	\|	2 = 2: 0

13th chords, diamorphic scales (Scale Degrees: 1234567)
0 1 4 5 7 9 10 = 13b9, neapolitan mixolydian, Chakravakam	\|	5 = 5: 0
0 2 3 5 6 9 10 = m13b5, doric locrian, kiordi asc.	\|	0 = 0: 0
0 2 3 6 7 9 11 = mM13#11, lydian dim., Dharmavati	\|	3 = 3: 0
0 2 4 5 7 8 11 = Mb13, Harmonic maj., Sarasangi, suzinak	\|	10 = 10: 0
0 3 4 6 8 9 11 = mM13#5#9	\|	6 = 6: 0