Chord Type: 0 1 3 5 7 8 11

0 1 3 5 7 8 11 = mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka

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Chord Type: 0 1 3 5 7 8 11

Chord Type Fun Facts 0 1 3 5 7 8 11 Diamorphic General Statistics Cardinality: 7 Jordan Number: 7-64 Forte Number: 7-30 Forte Prime Form: [0,1,2,4,6,8,9] Zeitler Scale Name: Aerylian Ian Ring's Scale Page 2475 Root Reference: 0 1 3 5 7 8 11 Tone Stacking: 0 1 2 2 2 1 3 Interval Stacking: 1 2 2 2 1 3 1 Binary: 1 1 0 1 0 1 0 1 1 0 0 1 Decimal Value: 2475 Interval Vector: 3 4 3 5 4 2 Inversional Symmetry: no Transpositional Symmetry: no Melodic Adjacency (0-1): 0.250 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 1 3 5 7 8 11 |mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka +1= 0 1 2 4 6 8 9 | +2= 1 2 3 5 7 9 10 | +3= 2 3 4 6 8 10 11 | +4= 0 3 4 5 7 9 11 |M13#9 = mela 35 Shulini +5= 0 1 4 5 6 8 10 |7b13#5b9#11 +6= 1 2 5 6 7 9 11 | +7= 0 2 3 6 7 8 10 |mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya +8= 1 3 4 7 8 9 11 | +9= 0 2 4 5 8 9 10 |13#5 +10= 1 3 5 6 9 10 11 | +11= 0 2 4 6 7 10 11 |M#13#11 = mela 66 Chitrambari Modes of Chord Type: (mode 0) 0: 0 1 3 5 7 8 11 | mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka (mode 1) 1: 0 2 4 6 7 10 11 | M#13#11 = mela 66 Chitrambari (mode 2) 3: 0 2 4 5 8 9 10 | 13#5 (mode 3) 5: 0 2 3 6 7 8 10 | mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya (mode 4) 7: 0 1 4 5 6 8 10 | 7b13#5b9#11 (mode 5) 8: 0 3 4 5 7 9 11 | M13#9 = mela 35 Shulini (mode 6) 11: 0 1 2 4 6 8 9 | Modes of Chord Type Sorted by Rootedness: 1.633(mode 1)1:0 2 4 6 7 10 11 |M#13#11 = mela 66 Chitrambari 1.383(mode 5)8:0 3 4 5 7 9 11 |M13#9 = mela 35 Shulini .917(mode 3)5:0 2 3 6 7 8 10 |mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya .667(mode 0)0:0 1 3 5 7 8 11 |mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka .525(mode 6)11:0 1 2 4 6 8 9 | .367(mode 2)3:0 2 4 5 8 9 10 |13#5 .175(mode 4)7:0 1 4 5 6 8 10 |7b13#5b9#11 Inversion at 0: 0 1 4 5 7 9 11 (mode 0) 0: 0 1 4 5 7 9 11 | M13b9 = mela 17 Suryakantam (mode 1) 1: 0 3 4 6 8 10 11 | mM#13#5#9#11 (mode 2) 4: 0 1 3 5 7 8 9 | mela 7 Senavati (mode 3) 5: 0 2 4 6 7 8 11 | Mb13#11 = mela 63 Latangi (mode 4) 7: 0 2 4 5 6 9 10 | 13b5 (mode 5) 9: 0 2 3 4 7 8 10 | sabach (mode 6) 11: 0 1 2 5 6 8 10 | Times 7: 0 1 5 7 8 9 11 (mode 0) 0: 0 1 5 7 8 9 11 | (mode 1) 1: 0 4 6 7 8 10 11 | (mode 2) 5: 0 2 3 4 6 7 8 | (mode 3) 7: 0 1 2 4 5 6 10 | (mode 4) 8: 0 1 3 4 5 9 11 | (mode 5) 9: 0 2 3 4 8 10 11 | (mode 6) 11: 0 1 2 6 8 9 10 | Times 5: 0 1 3 4 5 7 11 (mode 0) 0: 0 1 3 4 5 7 11 | (mode 1) 1: 0 2 3 4 6 10 11 | (mode 2) 3: 0 1 2 4 8 9 10 | (mode 3) 4: 0 1 3 7 8 9 11 | (mode 4) 5: 0 2 6 7 8 10 11 | (mode 5) 7: 0 4 5 6 8 9 10 | (mode 6) 11: 0 1 2 4 5 6 8 | Modal System: 0 1 2 4 6 8 9 from root(s) 11 | "Neapolitan minor modal system = Dhenuka modal system = Chitrambari modal system = Shulini modal system = Shanmukhapriya modal system" Modes of Modal System: (mode 0) 0: 0 1 2 4 6 8 9 | (mode 1) 1: 0 1 3 5 7 8 11 | mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka (mode 2) 2: 0 2 4 6 7 10 11 | M#13#11 = mela 66 Chitrambari (mode 3) 4: 0 2 4 5 8 9 10 | 13#5 (mode 4) 6: 0 2 3 6 7 8 10 | mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya (mode 5) 8: 0 1 4 5 6 8 10 | 7b13#5b9#11 (mode 6) 9: 0 3 4 5 7 9 11 | M13#9 = mela 35 Shulini Complement: 2 4 6 9 10 (mode 0) 2: 0 2 4 7 8 | (mode 1) 4: 0 2 5 6 10 | (mode 2) 6: 0 3 4 8 10 | 7#5#9 (mode 3) 9: 0 1 5 7 9 | (mode 4) 10: 0 4 6 8 11 | All but the root (subchroma complement of 0): 1 3 5 7 8 11 (mode 0) 1: 0 2 4 6 7 10 | 7#11 = Altered chord (mode 1) 3: 0 2 4 5 8 10 | (mode 2) 5: 0 2 3 6 8 10 | (mode 3) 7: 0 1 4 6 8 10 | 7#5#11b9 (mode 4) 8: 0 3 5 7 9 11 | mM13 no 9th (mode 5) 11: 0 2 4 6 8 9 | 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) Neapolitan scale - Wikipedia Dhenuka (raga) - Wikipedia De-Chromaticizations Dechromaticised: 1 3 5 7 8 11 (mode 0) 1: 0 2 4 6 7 10 | 7#11 = Altered chord (mode 1) 3: 0 2 4 5 8 10 | (mode 2) 5: 0 2 3 6 8 10 | (mode 3) 7: 0 1 4 6 8 10 | 7#5#11b9 (mode 4) 8: 0 3 5 7 9 11 | mM13 no 9th (mode 5) 11: 0 2 4 6 8 9 | Dechromaticised but Keep 0 0 1 3 5 7 8 11 (mode 0) 0: 0 1 3 5 7 8 11 | mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka (mode 1) 1: 0 2 4 6 7 10 11 | M#13#11 = mela 66 Chitrambari (mode 2) 3: 0 2 4 5 8 9 10 | 13#5 (mode 3) 5: 0 2 3 6 7 8 10 | mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya (mode 4) 7: 0 1 4 5 6 8 10 | 7b13#5b9#11 (mode 5) 8: 0 3 4 5 7 9 11 | M13#9 = mela 35 Shulini (mode 6) 11: 0 1 2 4 6 8 9 | Dechromaticised but Keep 0 7 0 1 3 5 7 8 11 (mode 0) 0: 0 1 3 5 7 8 11 | mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka (mode 1) 1: 0 2 4 6 7 10 11 | M#13#11 = mela 66 Chitrambari (mode 2) 3: 0 2 4 5 8 9 10 | 13#5 (mode 3) 5: 0 2 3 6 7 8 10 | mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya (mode 4) 7: 0 1 4 5 6 8 10 | 7b13#5b9#11 (mode 5) 8: 0 3 4 5 7 9 11 | M13#9 = mela 35 Shulini (mode 6) 11: 0 1 2 4 6 8 9 | Dechromaticised but Keep 0 3 4 7 0 1 3 5 7 8 11 (mode 0) 0: 0 1 3 5 7 8 11 | mMb13b9 = Neapolitan minor scale = harmonic phrygian = mela 9 Dhenuka (mode 1) 1: 0 2 4 6 7 10 11 | M#13#11 = mela 66 Chitrambari (mode 2) 3: 0 2 4 5 8 9 10 | 13#5 (mode 3) 5: 0 2 3 6 7 8 10 | mb13#11 = Gypsy = Hungarian minor I = Aeolean #4 = mela 56 Shanmukhapriya (mode 4) 7: 0 1 4 5 6 8 10 | 7b13#5b9#11 (mode 5) 8: 0 3 4 5 7 9 11 | M13#9 = mela 35 Shulini (mode 6) 11: 0 1 2 4 6 8 9 | Alt-Dechromaticised: 1 3 5 7 11 (mode 0) 1: 0 2 4 6 10 | 9b5 = altered chord (mode 1) 3: 0 2 4 8 10 | 9#5 = altered chord (mode 2) 5: 0 2 6 8 10 | (mode 3) 7: 0 4 6 8 10 | (mode 4) 11: 0 2 4 6 8 | whole tone pentachord Alt-Dechromaticised but Keep 0 0 1 3 5 7 11 (mode 0) 0: 0 1 3 5 7 11 | mM11b9 (mode 1) 1: 0 2 4 6 10 11 | (mode 2) 3: 0 2 4 8 9 10 | 13#5 no 11th (mode 3) 5: 0 2 6 7 8 10 | (mode 4) 7: 0 4 5 6 8 10 | (mode 5) 11: 0 1 2 4 6 8 | Alt-Dechromaticised but Keep 0 7 0 1 3 5 7 11 (mode 0) 0: 0 1 3 5 7 11 | mM11b9 (mode 1) 1: 0 2 4 6 10 11 | (mode 2) 3: 0 2 4 8 9 10 | 13#5 no 11th (mode 3) 5: 0 2 6 7 8 10 | (mode 4) 7: 0 4 5 6 8 10 | (mode 5) 11: 0 1 2 4 6 8 | Alt-Dechromaticised but Keep 0 3 4 7 0 1 3 5 7 11 (mode 0) 0: 0 1 3 5 7 11 | mM11b9 (mode 1) 1: 0 2 4 6 10 11 | (mode 2) 3: 0 2 4 8 9 10 | 13#5 no 11th (mode 3) 5: 0 2 6 7 8 10 | (mode 4) 7: 0 4 5 6 8 10 | (mode 5) 11: 0 1 2 4 6 8 | Chromaticizations chromaticized: N/A chromaticized keep 0: (mode 0) 0: 0 1 3 4 5 7 8 11 | (mode 1) 1: 0 2 3 4 6 7 10 11 | 2367AB & dom.7 = 2367AB & M7 (mode 2) 3: 0 1 2 4 5 8 9 10 | (mode 3) 4: 0 1 3 4 7 8 9 11 | (mode 4) 5: 0 2 3 6 7 8 10 11 | (mode 5) 7: 0 1 4 5 6 8 9 10 | (mode 6) 8: 0 3 4 5 7 8 9 11 | (mode 7) 11: 0 1 2 4 5 6 8 9 | chromaticized keep 0 7: (mode 0) 0: 0 1 3 4 5 7 8 11 | (mode 1) 1: 0 2 3 4 6 7 10 11 | 2367AB & dom.7 = 2367AB & M7 (mode 2) 3: 0 1 2 4 5 8 9 10 | (mode 3) 4: 0 1 3 4 7 8 9 11 | (mode 4) 5: 0 2 3 6 7 8 10 11 | (mode 5) 7: 0 1 4 5 6 8 9 10 | (mode 6) 8: 0 3 4 5 7 8 9 11 | (mode 7) 11: 0 1 2 4 5 6 8 9 | (mode 0) 0: 0 1 3 5 6 7 8 11 | (mode 1) 1: 0 2 4 5 6 7 10 11 | (mode 2) 3: 0 2 3 4 5 8 9 10 | (mode 3) 5: 0 1 2 3 6 7 8 10 | (mode 4) 6: 0 1 2 5 6 7 9 11 | (mode 5) 7: 0 1 4 5 6 8 10 11 | Persian scale (mode 6) 8: 0 3 4 5 7 9 10 11 | (mode 7) 11: 0 1 2 4 6 7 8 9 | chromaticized keep 0 3 4 7: (mode 0) 0: 0 1 3 5 6 7 8 11 | (mode 1) 1: 0 2 4 5 6 7 10 11 | (mode 2) 3: 0 2 3 4 5 8 9 10 | (mode 3) 5: 0 1 2 3 6 7 8 10 | (mode 4) 6: 0 1 2 5 6 7 9 11 | (mode 5) 7: 0 1 4 5 6 8 10 11 | Persian scale (mode 6) 8: 0 3 4 5 7 9 10 11 | (mode 7) 11: 0 1 2 4 6 7 8 9 | (mode 0) 0: 0 1 3 4 5 7 8 11 | (mode 1) 1: 0 2 3 4 6 7 10 11 | 2367AB & dom.7 = 2367AB & M7 (mode 2) 3: 0 1 2 4 5 8 9 10 | (mode 3) 4: 0 1 3 4 7 8 9 11 | (mode 4) 5: 0 2 3 6 7 8 10 11 | (mode 5) 7: 0 1 4 5 6 8 9 10 | (mode 6) 8: 0 3 4 5 7 8 9 11 | (mode 7) 11: 0 1 2 4 5 6 8 9 | (mode 0) 0: 0 1 3 5 7 8 9 10 11 | (mode 1) 1: 0 2 4 6 7 8 9 10 11 | whole tone & lydian (mode 2) 3: 0 2 4 5 6 7 8 9 10 | whole tone & mixolydian (mode 3) 5: 0 2 3 4 5 6 7 8 10 | whole tone & aeolean (mode 4) 7: 0 1 2 3 4 5 6 8 10 | whole tone & locrian (mode 5) 8: 0 1 2 3 4 5 7 9 11 | (mode 6) 9: 0 1 2 3 4 6 8 10 11 | (mode 7) 10: 0 1 2 3 5 7 9 10 11 | (mode 8) 11: 0 1 2 4 6 8 9 10 11 | (mode 0) 0: 0 1 3 4 5 7 8 9 10 11 | (mode 1) 1: 0 2 3 4 6 7 8 9 10 11 | (mode 2) 3: 0 1 2 4 5 6 7 8 9 10 | (mode 3) 4: 0 1 3 4 5 6 7 8 9 11 | (mode 4) 5: 0 2 3 4 5 6 7 8 10 11 | (mode 5) 7: 0 1 2 3 4 5 6 8 9 10 | (mode 6) 8: 0 1 2 3 4 5 7 8 9 11 | 014589 & melodic minor (mode 7) 9: 0 1 2 3 4 6 7 8 10 11 | (mode 8) 10: 0 1 2 3 5 6 7 9 10 11 | 12569A & melodic minor (mode 9) 11: 0 1 2 4 5 6 8 9 10 11 | 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 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 = 1: 0 2 4 6 7 10 11 = 3: 0 2 4 5 8 9 10 = 5: 0 2 3 6 7 8 10 = 7: 0 1 4 5 6 8 10 = 8: 0 3 4 5 7 9 11 = 11: 0 1 2 4 6 8 9 1 1 1 0 2 4 6 7 10 11 = 0: 0 2 4 6 7 10 11 = 2: 0 2 4 5 8 9 10 = 4: 0 2 3 6 7 8 10 = 6: 0 1 4 5 6 8 10 = 7: 0 3 4 5 7 9 11 = 10: 0 1 2 4 6 8 9 = 11: 0 1 3 5 7 8 11 1 3 3 0 2 4 5 8 9 10 = 0: 0 2 4 5 8 9 10 = 2: 0 2 3 6 7 8 10 = 4: 0 1 4 5 6 8 10 = 5: 0 3 4 5 7 9 11 = 8: 0 1 2 4 6 8 9 = 9: 0 1 3 5 7 8 11 = 10: 0 2 4 6 7 10 11 1 5 5 0 2 3 6 7 8 10 = 0: 0 2 3 6 7 8 10 = 2: 0 1 4 5 6 8 10 = 3: 0 3 4 5 7 9 11 = 6: 0 1 2 4 6 8 9 = 7: 0 1 3 5 7 8 11 = 8: 0 2 4 6 7 10 11 = 10: 0 2 4 5 8 9 10 1 7 7 0 1 4 5 6 8 10 = 0: 0 1 4 5 6 8 10 = 1: 0 3 4 5 7 9 11 = 4: 0 1 2 4 6 8 9 = 5: 0 1 3 5 7 8 11 = 6: 0 2 4 6 7 10 11 = 8: 0 2 4 5 8 9 10 = 10: 0 2 3 6 7 8 10 1 8 8 0 3 4 5 7 9 11 = 0: 0 3 4 5 7 9 11 = 3: 0 1 2 4 6 8 9 = 4: 0 1 3 5 7 8 11 = 5: 0 2 4 6 7 10 11 = 7: 0 2 4 5 8 9 10 = 9: 0 2 3 6 7 8 10 = 11: 0 1 4 5 6 8 10 Bright Layer Composition order pcset 1 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 = 1: 0 2 4 6 7 10 11 = 3: 0 2 4 5 8 9 10 = 5: 0 2 3 6 7 8 10 = 7: 0 1 4 5 6 8 10 = 8: 0 3 4 5 7 9 11 = 11: 0 1 2 4 6 8 9 2 0 1 2 3 5 6 7 8 10 11 = 0: 0 1 2 3 5 6 7 8 10 11 = 1: 0 1 2 4 5 6 7 9 10 11 = 2: 0 1 3 4 5 6 8 9 10 11 = 3: 0 2 3 4 5 7 8 9 10 11 = 5: 0 1 2 3 5 6 7 8 9 10 = 6: 0 1 2 4 5 6 7 8 9 11 = 7: 0 1 3 4 5 6 7 8 10 11 = 8: 0 2 3 4 5 6 7 9 10 11 = 10: 0 1 2 3 4 5 7 8 9 10 = 11: 0 1 2 3 4 6 7 8 9 11 3 0 1 2 3 5 6 7 8 9 10 11 = 0: 0 1 2 3 5 6 7 8 9 10 11 = 1: 0 1 2 4 5 6 7 8 9 10 11 = 2: 0 1 3 4 5 6 7 8 9 10 11 = 3: 0 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 = 6: 0 1 2 3 4 5 6 7 8 9 11 = 7: 0 1 2 3 4 5 6 7 8 10 11 = 8: 0 1 2 3 4 5 6 7 9 10 11 = 9: 0 1 2 3 4 5 6 8 9 10 11 = 10: 0 1 2 3 4 5 7 8 9 10 11 = 11: 0 1 2 3 4 6 7 8 9 10 11 4 0 1 2 3 4 5 6 7 8 9 10 11 = 0: 0 1 2 3 4 5 6 7 8 9 10 11 = 1: 0 1 2 3 4 5 6 7 8 9 10 11 = 2: 0 1 2 3 4 5 6 7 8 9 10 11 = 3: 0 1 2 3 4 5 6 7 8 9 10 11 = 4: 0 1 2 3 4 5 6 7 8 9 10 11 = 5: 0 1 2 3 4 5 6 7 8 9 10 11 = 6: 0 1 2 3 4 5 6 7 8 9 10 11 = 7: 0 1 2 3 4 5 6 7 8 9 10 11 = 8: 0 1 2 3 4 5 6 7 8 9 10 11 = 9: 0 1 2 3 4 5 6 7 8 9 10 11 = 10: 0 1 2 3 4 5 6 7 8 9 10 11 = 11: 0 1 2 3 4 5 6 7 8 9 10 11 Subset Chord Types by Subchroma Modal System Subchroma Modal Systems of 0 1 3 5 7 8 11 subchroma modal system: 0 0 = 0 = 0: 0 1 = 1 = 1: 0 3 = 3 = 3: 0 5 = 5 = 5: 0 7 = 7 = 7: 0 8 = 8 = 8: 0 11 = 11 = 11: 0 subchroma modal system: 0 1 0 1 = 0 1 = 0: 0 1 1: 0 11 1 3 = 1 3 = 1: 0 2 3: 0 10 3 5 = 3 5 = 3: 0 2 5: 0 10 5 7 = 5 7 = 5: 0 2 7: 0 10 7 8 = 7 8 = 7: 0 1 8: 0 11 8 11 = 8 11 = 8: 0 3 11: 0 9 11 0 = 0 11 = 11: 0 1 0: 0 11 subchroma modal system: 0 2 0 3 = 0 3 = 0: 0 3 3: 0 9 1 5 = 1 5 = 1: 0 4 5: 0 8 3 7 = 3 7 = 3: 0 4 7: 0 8 5 8 = 5 8 = 5: 0 3 8: 0 9 7 11 = 7 11 = 7: 0 4 11: 0 8 8 0 = 0 8 = 8: 0 4 0: 0 8 11 1 = 1 11 = 11: 0 2 1: 0 10 subchroma modal system: 0 3 0 5 = 0 5 = 0: 0 5 5: 0 7 1 7 = 1 7 = 1 7: 0 6 3 8 = 3 8 = 3: 0 5 8: 0 7 5 11 = 5 11 = 5 11: 0 6 7 0 = 0 7 = 7: 0 5 0: 0 7 8 1 = 1 8 = 8: 0 5 1: 0 7 11 3 = 3 11 = 11: 0 4 3: 0 8 subchroma modal system: 0 1 2 0 1 3 = 0 1 3 = 0: 0 1 3 1: 0 2 11 1 3 5 = 1 3 5 = 1: 0 2 4 3 5 7 = 3 5 7 = 3: 0 2 4 5 7 8 = 5 7 8 = 5: 0 2 3 7 8 11 = 7 8 11 = 7: 0 1 4 8: 0 3 11 8 11 0 = 0 8 11 = 8: 0 3 4 11 0 1 = 0 1 11 = 11: 0 1 2 0: 0 1 11 1: 0 10 11 subchroma modal system: 0 1 3 0 1 5 = 0 1 5 = 1: 0 4 11 5: 0 7 8 1 3 7 = 1 3 7 = 3: 0 4 10 3 5 8 = 3 5 8 = 5: 0 3 10 8: 0 7 9 5 7 11 = 5 7 11 = 7: 0 4 10 7 8 0 = 0 7 8 = 8: 0 4 11 0: 0 7 8 8 11 1 = 1 8 11 = 8: 0 3 5 1: 0 7 10 11 0 3 = 0 3 11 = 11: 0 1 4 0: 0 3 11 subchroma modal system: 0 1 4 0 1 7 = 0 1 7 = 0: 0 1 7 1 3 8 = 1 3 8 = 1: 0 2 7 8: 0 5 7 3: 0 5 10 3 5 11 = 3 5 11 = 11: 0 4 6 5 7 0 = 0 5 7 = 5: 0 2 7 0: 0 5 7 7: 0 5 10 7 8 1 = 1 7 8 = 1: 0 6 7 8 11 3 = 3 8 11 = 8: 0 3 7 11: 0 4 9 11 0 5 = 0 5 11 = 5: 0 6 7 subchroma modal system: 0 1 5 0 1 8 = 0 1 8 = 8: 0 4 5 1: 0 7 11 1 3 11 = 1 3 11 = 11: 0 2 4 3 5 0 = 0 3 5 = 0: 0 3 5 5: 0 7 10 5 7 1 = 1 5 7 = 1: 0 4 6 7 8 3 = 3 7 8 = 3: 0 4 5 8: 0 7 11 8 11 5 = 5 8 11 = 5: 0 3 6 8: 0 3 9 11 0 7 = 0 7 11 = 7: 0 4 5 0: 0 7 11 subchroma modal system: 0 2 4 0 3 7 = 0 3 7 = 0: 0 3 7 3: 0 4 9 1 5 8 = 1 5 8 = 1: 0 4 7 3 7 11 = 3 7 11 = 3 7 11: 0 4 8 5 8 0 = 0 5 8 = 5: 0 3 7 8: 0 4 9 7 11 1 = 1 7 11 = 7: 0 4 6 8 0 3 = 0 3 8 = 8: 0 4 7 11 1 5 = 1 5 11 = 1: 0 4 10 subchroma modal system: 0 1 2 3 0 1 3 5 = 0 1 3 5 = 0: 0 1 3 5 1: 0 2 4 11 3: 0 2 9 10 5: 0 7 8 10 1 3 5 7 = 1 3 5 7 = 1: 0 2 4 6 3: 0 2 4 10 3 5 7 8 = 3 5 7 8 = 3: 0 2 4 5 5: 0 2 3 10 8: 0 7 9 11 5 7 8 11 = 5 7 8 11 = 5: 0 2 3 6 7: 0 1 4 10 8: 0 3 9 11 7 8 11 0 = 0 7 8 11 = 7: 0 1 4 5 8: 0 3 4 11 0: 0 7 8 11 8 11 0 1 = 0 1 8 11 = 8: 0 3 4 5 1: 0 7 10 11 11 0 1 3 = 0 1 3 11 = 11: 0 1 2 4 0: 0 1 3 11 1: 0 2 10 11 subchroma modal system: 0 1 2 4 0 1 3 7 = 0 1 3 7 = 0: 0 1 3 7 3: 0 4 9 10 1 3 5 8 = 1 3 5 8 = 1: 0 2 4 7 8: 0 5 7 9 3 5 7 11 = 3 5 7 11 = 7: 0 4 8 10 5 7 8 0 = 0 5 7 8 = 5: 0 2 3 7 8: 0 4 9 11 0: 0 5 7 8 7 8 11 1 = 1 7 8 11 = 8: 0 3 5 11 1: 0 6 7 10 8 11 0 3 = 0 3 8 11 = 8: 0 3 4 7 11: 0 1 4 9 11 0 1 5 = 0 1 5 11 = 1: 0 4 10 11 5: 0 6 7 8 subchroma modal system: 0 1 2 5 0 1 3 8 = 0 1 3 8 = 1: 0 2 7 11 8: 0 4 5 7 1 3 5 11 = 1 3 5 11 = 11: 0 2 4 6 1: 0 2 4 10 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 8 1 = 1 5 7 8 = 1: 0 4 6 7 7 8 11 3 = 3 7 8 11 = 8: 0 3 7 11 8 11 0 5 = 0 5 8 11 = 8: 0 3 4 9 5: 0 3 6 7 11 0 1 7 = 0 1 7 11 = 0: 0 1 7 11 7: 0 4 5 6 subchroma modal system: 0 1 3 4 0 1 5 7 = 0 1 5 7 = 0: 0 1 5 7 5: 0 2 7 8 1: 0 4 6 11 1 3 7 8 = 1 3 7 8 = 1: 0 2 6 7 3: 0 4 5 10 8: 0 5 7 11 3 5 8 11 = 3 5 8 11 = 8: 0 3 7 9 5: 0 3 6 10 5 7 11 0 = 0 5 7 11 = 5: 0 2 6 7 7: 0 4 5 10 0: 0 5 7 11 7 8 0 1 = 0 1 7 8 = 0: 0 1 7 8 8: 0 4 5 11 1: 0 6 7 11 8 11 1 3 = 1 3 8 11 = 11: 0 2 4 9 1: 0 2 7 10 8: 0 3 5 7 11 0 3 5 = 0 3 5 11 = 0: 0 3 5 11 5: 0 6 7 10 subchroma modal system: 0 1 3 5 0 1 5 8 = 0 1 5 8 = 5: 0 3 7 8 1: 0 4 7 11 1 3 7 11 = 1 3 7 11 = 3: 0 4 8 10 3 5 8 0 = 0 3 5 8 = 8: 0 4 7 9 5: 0 3 7 10 5 7 11 1 = 1 5 7 11 = 1 7: 0 4 6 10 7 8 0 3 = 0 3 7 8 = 0: 0 3 7 8 8: 0 4 7 11 8 11 1 5 = 1 5 8 11 = 1: 0 4 7 10 11 0 3 7 = 0 3 7 11 = 0: 0 3 7 11 subchroma modal system: 0 1 2 3 4 0 1 3 5 7 = 0 1 3 5 7 = 0: 0 1 3 5 7 1: 0 2 4 6 11 3: 0 2 4 9 10 5: 0 2 7 8 10 1 3 5 7 8 = 1 3 5 7 8 = 1: 0 2 4 6 7 8: 0 5 7 9 11 3 5 7 8 11 = 3 5 7 8 11 = 7: 0 1 4 8 10 5: 0 2 3 6 10 8: 0 3 7 9 11 5 7 8 11 0 = 0 5 7 8 11 = 5: 0 2 3 6 7 7: 0 1 4 5 10 8: 0 3 4 9 11 0: 0 5 7 8 11 7 8 11 0 1 = 0 1 7 8 11 = 8: 0 3 4 5 11 0: 0 1 7 8 11 1: 0 6 7 10 11 8 11 0 1 3 = 0 1 3 8 11 = 11: 0 1 2 4 9 8: 0 3 4 5 7 1: 0 2 7 10 11 11 0 1 3 5 = 0 1 3 5 11 = 11: 0 1 2 4 6 1: 0 2 4 10 11 5: 0 6 7 8 10 subchroma modal system: 0 1 2 3 5 0 1 3 5 8 = 0 1 3 5 8 = 1: 0 2 4 7 11 8: 0 4 5 7 9 5: 0 3 7 8 10 1 3 5 7 11 = 1 3 5 7 11 = 11: 0 2 4 6 8 1: 0 2 4 6 10 3: 0 2 4 8 10 3 5 7 8 0 = 0 3 5 7 8 = 5: 0 2 3 7 10 0: 0 3 5 7 8 8: 0 4 7 9 11 5 7 8 11 1 = 1 5 7 8 11 = 7: 0 1 4 6 10 1: 0 4 6 7 10 7 8 11 0 3 = 0 3 7 8 11 = 8: 0 3 4 7 11 0: 0 3 7 8 11 8 11 0 1 5 = 0 1 5 8 11 = 5: 0 3 6 7 8 1: 0 4 7 10 11 11 0 1 3 7 = 0 1 3 7 11 = 11: 0 1 2 4 8 0: 0 1 3 7 11 7: 0 4 5 6 8 3: 0 4 8 9 10 subchroma modal system: 0 1 2 4 5 0 1 3 7 8 = 0 1 3 7 8 = 0: 0 1 3 7 8 1: 0 2 6 7 11 8: 0 4 5 7 11 1 3 5 8 11 = 1 3 5 8 11 = 1: 0 2 4 7 10 8: 0 3 5 7 9 3 5 7 11 0 = 0 3 5 7 11 = 5: 0 2 6 7 10 0: 0 3 5 7 11 5 7 8 0 1 = 0 1 5 7 8 = 5: 0 2 3 7 8 0: 0 1 5 7 8 1: 0 4 6 7 11 7 8 11 1 3 = 1 3 7 8 11 = 1: 0 2 6 7 10 8: 0 3 5 7 11 8 11 0 3 5 = 0 3 5 8 11 = 8: 0 3 4 7 9 5: 0 3 6 7 10 11 0 1 5 7 = 0 1 5 7 11 = 5: 0 2 6 7 8 0: 0 1 5 7 11 7: 0 4 5 6 10 1: 0 4 6 10 11 subchroma modal system: 0 1 2 3 4 5 0 1 3 5 7 8 = 0 1 3 5 7 8 = 0: 0 1 3 5 7 8 1: 0 2 4 6 7 11 5: 0 2 3 7 8 10 8: 0 4 5 7 9 11 1 3 5 7 8 11 = 1 3 5 7 8 11 = 7: 0 1 4 6 8 10 1: 0 2 4 6 7 10 8: 0 3 5 7 9 11 3 5 7 8 11 0 = 0 3 5 7 8 11 = 5: 0 2 3 6 7 10 8: 0 3 4 7 9 11 0: 0 3 5 7 8 11 5 7 8 11 0 1 = 0 1 5 7 8 11 = 5: 0 2 3 6 7 8 0: 0 1 5 7 8 11 1: 0 4 6 7 10 11 7 8 11 0 1 3 = 0 1 3 7 8 11 = 11: 0 1 2 4 8 9 8: 0 3 4 5 7 11 0: 0 1 3 7 8 11 1: 0 2 6 7 10 11 8 11 0 1 3 5 = 0 1 3 5 8 11 = 8: 0 3 4 5 7 9 1: 0 2 4 7 10 11 5: 0 3 6 7 8 10 11 0 1 3 5 7 = 0 1 3 5 7 11 = 11: 0 1 2 4 6 8 0: 0 1 3 5 7 11 3: 0 2 4 8 9 10 5: 0 2 6 7 8 10 subchroma modal system: 0 1 2 3 4 5 6 0 1 3 5 7 8 11 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 1 3 5 7 8 11 0 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 3 5 7 8 11 0 1 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 5 7 8 11 0 1 3 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 7 8 11 0 1 3 5 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 8 11 0 1 3 5 7 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 11 0 1 3 5 7 8 = 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 7: 0 1 4 5 6 8 10 5: 0 2 3 6 7 8 10 3: 0 2 4 5 8 9 10 1: 0 2 4 6 7 10 11 8: 0 3 4 5 7 9 11 Subset Chord Types by Root Set 0 :0 1 3 0 :0 1 7 0 :0 1 11 0 :0 1 3 5 0 :0 1 3 7 0 :0 1 3 11 0 :0 1 5 7 0 :0 1 7 8 0 :0 1 7 11 0 :0 5 7 8 0 :0 7 8 11 0 :0 1 3 5 7 0 :0 1 3 7 8 0 :0 1 3 7 11 0 :0 1 5 7 8 0 :0 1 5 7 11 0 :0 1 7 8 11 0 :0 3 5 7 8 0 :0 3 7 8 11 0 :0 5 7 8 11 0 :0 1 3 5 7 8 0 :0 1 3 5 7 11 0 :0 1 3 7 8 11 0 :0 1 5 7 8 11 0 :0 3 5 7 8 11 0 :0 1 3 5 7 8 11 0 1 3 5 7 8 11:0 0 1 5 8 :0 7 0 1 8 :0 11 0 1 8 :0 7 11 0 3 5 7 11 :0 8 0 3 7 8 :0 5 0 5 :0 7 8 0 5 :0 3 7 8 0 5 8 :0 3 0 5 8 :0 3 7 0 7 11 :0 1 0 8 :0 3 5 0 8 :0 3 11 0 8 :0 5 7 0 8 :0 3 5 7 0 8 :0 3 5 11 0 8 :0 3 7 11 0 8 :0 5 7 11 0 8 :0 3 5 7 11 1 :0 2 11 1 :0 10 11 1 :0 2 4 7 1 :0 2 4 11 1 :0 2 7 11 1 :0 2 10 11 1 :0 4 6 7 1 :0 4 6 11 1 :0 4 7 10 1 :0 4 10 11 1 :0 6 7 11 1 :0 7 10 11 1 :0 2 4 6 7 1 :0 2 4 6 10 1 :0 2 4 6 11 1 :0 2 4 7 10 1 :0 2 4 7 11 1 :0 2 4 10 11 1 :0 2 6 7 11 1 :0 2 7 10 11 1 :0 4 6 7 10 1 :0 4 6 7 11 1 :0 4 6 10 11 1 :0 4 7 10 11 1 :0 6 7 10 11 1 :0 2 4 6 7 10 1 :0 2 4 6 7 11 1 :0 2 4 7 10 11 1 :0 2 6 7 10 11 1 :0 4 6 7 10 11 1 :0 2 4 6 7 10 11 1 3 :0 2 4 10 1 3 5 7 :0 10 1 3 5 11 :0 2 1 3 7 :0 4 10 1 3 7 8 11 :0 4 1 3 11 :0 2 4 1 5 :0 2 7 1 5 :0 6 7 1 5 :0 7 10 1 5 :0 2 6 7 1 5 :0 2 7 10 1 5 :0 6 7 10 1 5 :0 2 6 7 10 1 5 7 11 :0 6 1 7 :0 4 6 10 1 7 11 :0 4 6 1 8 :0 4 7 1 8 :0 4 11 1 8 :0 4 7 11 1 11 :0 2 4 6 3 :0 2 4 5 3 :0 2 9 10 3 :0 4 9 10 3 :0 2 4 8 10 3 :0 2 4 9 10 3 :0 4 8 9 10 3 :0 2 4 8 9 10 3 :0 2 4 5 8 9 10 3 7 :0 5 10 3 7 :0 4 5 10 3 7 :0 4 8 10 3 7 8 :0 4 5 3 7 11 :0 4 8 3 8 11 :0 9 3 8 11 :0 4 9 3 11 :0 2 4 9 5 :0 2 3 5 :0 3 6 5 :0 3 10 5 :0 2 3 6 5 :0 2 3 7 5 :0 2 3 10 5 :0 2 7 8 5 :0 3 6 7 5 :0 3 6 10 5 :0 3 7 10 5 :0 6 7 8 5 :0 7 8 10 5 :0 2 3 6 7 5 :0 2 3 7 8 5 :0 2 3 6 10 5 :0 2 3 7 10 5 :0 2 6 7 8 5 :0 2 7 8 10 5 :0 3 6 7 8 5 :0 3 6 7 10 5 :0 3 7 8 10 5 :0 6 7 8 10 5 :0 2 3 6 7 8 5 :0 2 3 6 7 10 5 :0 2 3 7 8 10 5 :0 2 6 7 8 10 5 :0 3 6 7 8 10 5 :0 2 3 6 7 8 10 7 :0 1 4 5 7 :0 1 4 10 7 :0 4 5 6 7 :0 1 4 5 10 7 :0 1 4 6 10 7 :0 1 4 8 10 7 :0 4 5 6 8 7 :0 4 5 6 10 7 :0 1 4 6 8 10 7 :0 1 4 5 6 8 10 7 11 :0 1 4 8 :0 3 4 8 :0 3 9 8 :0 7 9 8 :0 3 4 5 8 :0 3 4 7 8 :0 3 4 9 8 :0 3 4 11 8 :0 4 5 7 8 :0 4 5 11 8 :0 3 7 9 8 :0 4 7 9 8 :0 3 9 11 8 :0 4 9 11 8 :0 5 7 9 8 :0 7 9 11 8 :0 3 4 5 7 8 :0 3 4 5 11 8 :0 3 4 7 9 8 :0 3 4 7 11 8 :0 3 4 9 11 8 :0 3 5 7 9 8 :0 4 5 7 9 8 :0 4 5 7 11 8 :0 3 7 9 11 8 :0 4 7 9 11 8 :0 5 7 9 11 8 :0 3 4 5 7 9 8 :0 3 4 5 7 11 8 :0 3 4 7 9 11 8 :0 3 5 7 9 11 8 :0 4 5 7 9 11 8 :0 3 4 5 7 9 11 11 :0 1 2 11 :0 1 2 4 11 :0 1 4 9 11 :0 1 2 4 6 11 :0 1 2 4 8 11 :0 1 2 4 9 11 :0 2 4 6 8 11 :0 1 2 4 6 8 11 :0 1 2 4 8 9 Superset Chord Types by Root Set 0 :0 1 3 5 7 8 11 0 :0 1 2 3 5 7 8 11 0 :0 1 3 4 5 7 8 11 0 :0 1 3 5 6 7 8 11 0 :0 1 3 5 7 8 9 11 0 :0 1 3 5 7 8 10 11 0 :0 1 2 3 4 5 7 8 11 0 :0 1 2 3 5 6 7 8 11 0 :0 1 3 4 5 6 7 8 11 0 :0 1 2 3 5 7 8 9 11 0 :0 1 2 3 5 7 8 10 11 0 :0 1 3 4 5 7 8 10 11 0 :0 1 3 5 6 7 8 9 11 0 :0 1 3 5 7 8 9 10 11 0 :0 1 2 3 4 5 6 7 8 11 0 :0 1 2 3 4 5 7 8 10 11 0 1 2 3 4 5 6 7 8 9 10 11:0 1 2 3 4 5 6 7 8 9 10 11 0 1 5 7 9 :0 1 2 3 4 5 6 7 8 10 11 0 2 :0 1 3 5 6 7 8 9 10 11 0 2 4 7 8 :0 1 3 4 5 6 7 8 9 10 11 0 2 5 6 10 :0 1 2 3 5 6 7 8 9 10 11 0 3 4 8 10 :0 1 2 3 4 5 7 8 9 10 11 0 4 6 8 11 :0 1 2 3 4 5 6 7 8 9 11 0 4 8 :0 1 3 4 5 7 8 9 11 0 4 8 :0 1 2 3 4 5 7 8 9 11 0 4 8 :0 1 3 4 5 6 7 8 9 11 0 4 8 :0 1 3 4 5 7 8 9 10 11 0 5 :0 1 2 3 5 6 7 8 10 11 0 6 :0 1 2 3 5 6 7 8 9 11 0 7 :0 1 3 4 5 6 7 8 10 11 0 10 :0 1 2 3 5 7 8 9 10 11 1 :0 2 4 6 7 10 11 1 :0 1 2 4 6 7 10 11 1 :0 2 3 4 6 7 10 11 1 :0 2 4 5 6 7 10 11 1 :0 2 4 6 7 8 10 11 1 :0 2 4 6 7 9 10 11 1 :0 1 2 3 4 6 7 10 11 1 :0 1 2 4 5 6 7 10 11 1 :0 2 3 4 5 6 7 10 11 1 :0 1 2 4 6 7 8 10 11 1 :0 1 2 4 6 7 9 10 11 1 :0 2 3 4 6 7 9 10 11 1 :0 2 4 5 6 7 8 10 11 1 :0 2 4 5 6 7 9 10 11 1 :0 2 4 6 7 8 9 10 11 1 :0 1 2 3 4 5 6 7 10 11 1 :0 1 2 3 4 6 7 9 10 11 1 2 6 8 10 :0 1 2 3 4 5 6 7 9 10 11 1 3 :0 2 4 5 6 7 8 9 10 11 1 3 5 8 9 :0 2 3 4 5 6 7 8 9 10 11 1 3 6 7 11 :0 1 2 4 5 6 7 8 9 10 11 1 4 5 9 11 :0 1 2 3 4 6 7 8 9 10 11 1 5 9 :0 2 3 4 6 7 8 10 11 1 5 9 :0 1 2 3 4 6 7 8 10 11 1 5 9 :0 2 3 4 5 6 7 8 10 11 1 5 9 :0 2 3 4 6 7 8 9 10 11 1 6 :0 1 2 4 5 6 7 9 10 11 1 7 :0 1 2 4 5 6 7 8 10 11 1 8 :0 2 3 4 5 6 7 9 10 11 1 11 :0 1 2 4 6 7 8 9 10 11 2 :0 1 3 5 6 9 10 11 2 :0 1 3 5 6 7 9 10 11 2 :0 1 2 3 4 5 6 9 10 11 2 :0 1 2 3 5 6 8 9 10 11 2 3 7 9 11 :0 1 2 3 4 5 6 8 9 10 11 2 6 10 :0 1 2 3 5 6 7 9 10 11 2 7 :0 1 3 4 5 6 8 9 10 11 2 8 :0 1 3 4 5 6 7 9 10 11 3 :0 2 4 5 8 9 10 3 :0 2 4 5 7 8 9 10 3 :0 1 2 4 5 7 8 9 10 3 :0 2 3 4 5 7 8 9 10 3 :0 2 4 5 6 7 8 9 10 3 :0 2 4 5 7 8 9 10 11 3 :0 1 2 3 4 5 8 9 10 11 3 :0 1 2 4 5 7 8 9 10 11 3 5 :0 2 3 4 5 6 7 8 9 10 3 5 7 10 11 :0 1 2 3 4 5 6 7 8 9 10 3 7 11 :0 1 2 3 4 5 6 8 9 10 3 7 11 :0 1 2 4 5 6 7 8 9 10 3 7 11 :0 1 2 4 5 6 8 9 10 11 3 8 :0 2 3 4 5 7 8 9 10 11 3 9 :0 2 3 4 5 6 8 9 10 11 3 10 :0 1 2 3 4 5 7 8 9 10 4 :0 1 3 4 7 8 9 11 4 :0 1 2 3 4 7 8 9 11 4 :0 1 3 4 6 7 8 9 11 4 :0 1 3 4 7 8 9 10 11 4 :0 1 2 3 4 7 8 9 10 11 4 :0 1 3 4 6 7 8 9 10 11 4 11 :0 1 2 3 4 6 7 8 9 11 5 :0 2 3 6 7 8 10 5 :0 1 2 3 6 7 8 10 5 :0 2 3 4 6 7 8 10 5 :0 2 3 5 6 7 8 10 5 :0 2 3 6 7 8 9 10 5 :0 2 3 6 7 8 10 11 5 :0 1 2 3 4 6 7 8 10 5 :0 1 2 3 5 6 7 8 10 5 :0 2 3 4 5 6 7 8 10 5 :0 1 2 3 6 7 8 9 10 5 :0 1 2 3 6 7 8 10 11 5 :0 2 3 4 6 7 8 9 10 5 :0 2 3 5 6 7 8 9 10 5 :0 2 3 5 6 7 8 10 11 5 :0 2 3 6 7 8 9 10 11 5 :0 1 2 3 6 7 8 9 10 11 5 :0 2 3 5 6 7 8 9 10 11 5 7 :0 1 2 3 4 5 6 7 8 10 5 10 :0 1 2 3 5 6 7 8 9 10 5 11 :0 1 2 3 4 6 7 8 9 10 6 :0 1 2 5 6 7 9 11 6 :0 1 2 3 5 6 7 9 11 6 :0 1 2 4 5 6 7 9 11 6 :0 1 2 5 6 7 8 9 10 11 6 8 :0 1 2 3 4 5 6 7 9 11 6 11 :0 1 2 4 5 6 7 8 9 11 7 :0 1 4 5 6 8 10 7 :0 1 4 5 6 7 8 10 7 :0 1 4 5 6 8 10 11 7 :0 1 2 3 4 5 6 8 10 7 :0 1 2 4 5 6 7 8 10 7 :0 1 3 4 5 6 7 8 10 7 :0 1 4 5 6 7 8 9 10 7 :0 1 4 5 6 7 8 10 11 7 :0 1 3 4 5 6 7 8 9 10 7 :0 1 4 5 6 7 8 9 10 11 7 9 :0 1 2 3 4 5 6 8 10 11 8 :0 3 4 5 7 9 11 8 :0 1 3 4 5 7 9 11 8 :0 2 3 4 5 7 9 11 8 :0 3 4 5 6 7 9 11 8 :0 3 4 5 7 8 9 11 8 :0 3 4 5 7 9 10 11 8 :0 1 2 3 4 5 7 9 11 8 :0 1 3 4 5 6 7 9 11 8 :0 2 3 4 5 6 7 9 11 8 :0 1 3 4 5 7 9 10 11 8 :0 2 3 4 5 7 8 9 11 8 :0 2 3 4 5 7 9 10 11 8 :0 3 4 5 6 7 8 9 11 8 :0 3 4 5 6 7 9 10 11 8 :0 3 4 5 7 8 9 10 11 8 :0 2 3 4 5 6 7 8 9 11 8 :0 3 4 5 6 7 8 9 10 11 8 10 :0 1 2 3 4 5 7 9 10 11 9 :0 1 2 3 4 6 8 10 11 9 11 :0 1 2 3 4 6 8 9 10 11 10 :0 1 2 3 5 7 9 10 10 :0 1 2 3 4 5 7 9 10 10 :0 1 2 3 5 6 7 9 10 10 :0 1 2 3 5 7 8 9 10 10 :0 1 2 3 5 7 9 10 11 10 :0 1 2 3 4 5 6 7 9 10 11 :0 1 2 4 6 7 8 9 11 :0 1 2 3 4 6 7 8 9 11 :0 1 2 4 5 6 7 8 9 11 :0 1 2 4 6 7 8 9 10 11 :0 1 2 4 6 7 8 9 11 11 :0 1 2 3 4 5 6 7 8 9 11 :0 1 2 3 4 5 6 8 9 11 Subset Chord Types By Family Chord Type Roots Unison (Scale Degrees: 1) 0 = root, unison, octave | 0 1 3 5 7 8 11 = 0: 0 1 3 5 7 8 11 = 1: 0 2 4 6 7 10 11 = 3: 0 2 4 5 8 9 10 = 5: 0 2 3 6 7 8 10 = 7: 0 1 4 5 6 8 10 = 8: 0 3 4 5 7 9 11 = 11: 0 1 2 4 6 8 9 2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12) 0 1 = semitone, min. 2nd, min. 9th | 0 7 11 = 0: 0 7 11 = 7: 0 4 5 = 11: 0 1 8 0 2 = maj. 2nd, dim., maj. 9th | 1 3 5 11 = 1: 0 2 4 10 = 3: 0 2 8 10 = 5: 0 6 8 10 = 11: 0 2 4 6 3rds / 10ths (Scale Degrees: 13) 0 3 = aug. 2nd, min. 3rd, aug. 9th | 0 5 8 = 0: 0 5 8 = 5: 0 3 7 = 8: 0 4 9 0 4 = maj. 3rd, maj. 10th, dim. 4th | 1 3 7 8 11 = 1: 0 2 6 7 10 = 3: 0 4 5 8 10 = 7: 0 1 4 6 8 = 8: 0 3 5 7 11 = 11: 0 2 4 8 9 4ths / 11ths (Scale Degrees: 14) 0 5 = 4th, 11th, 2 in 4ths | 0 3 7 8 = 0: 0 3 7 8 = 3: 0 4 5 9 = 7: 0 1 5 8 = 8: 0 4 7 11 0 6 = tritone, aug. 4th, dim. 5th, aug. 11th | 1 5 7 11 = 1: 0 4 6 10 = 5: 0 2 6 8 = 7: 0 4 6 10 = 11: 0 2 6 8 5ths / 12ths (Scale Degrees: 15) 0 7 = 5th, 2 in 5ths | 0 1 5 8 = 0: 0 1 5 8 = 1: 0 4 7 11 = 5: 0 3 7 8 = 8: 0 4 5 9 6ths / 13ths (Scale Degrees: 16) 0 8 = aug. 5th, min. 6th, aug. 12th, min. 13th | 0 3 5 7 11 = 0: 0 3 5 7 11 = 3: 0 2 4 8 9 = 5: 0 2 6 7 10 = 7: 0 4 5 8 10 = 11: 0 1 4 6 8 0 9 = maj. 6th, maj. 13th, dim. 7th | 3 8 11 = 3: 0 5 8 = 8: 0 3 7 = 11: 0 4 9 7ths / 14ths (Scale Degrees: 17) 0 10 = aug. 6th, min. 7th, aug. 13th | 1 3 5 7 = 1: 0 2 4 6 = 3: 0 2 4 10 = 5: 0 2 8 10 = 7: 0 6 8 10 0 11 = maj. 7th, maj. 14th | 0 1 8 = 0: 0 1 8 = 1: 0 7 11 = 8: 0 4 5 chromatic trichord (Scale Degrees: 122) 0 1 2 = 1st 3 chromatics | 11 = 11: 0 1st 3 notes of diamorphic scale (Scale Degrees: 123) 0 1 3 | 0 = 0: 0 0 1 4 | 7 11 = 7: 0 4 = 11: 0 8 0 2 3 = min. trichord | 5 = 5: 0 0 2 4 = maj. trichord | 1 3 11 = 1: 0 2 10 = 3: 0 8 10 = 11: 0 2 4 0 3 4 | 8 = 8: 0 Sus2 triads (Scale Degrees: 125) 0 1 7 | 0 = 0: 0 0 2 7 = sus2, 3 in 5ths | 1 5 = 1: 0 4 = 5: 0 8 Root with upper and lower neighbors (Scale Degrees: 127) 0 1 11 = root & chr. neighbors | 0 = 0: 0 0 2 11 | 1 = 1: 0 Scale Degrees: 134 0 3 5 | 0 8 = 0: 0 8 = 8: 0 4 0 4 5 | 3 7 8 = 3: 0 4 5 = 7: 0 1 8 = 8: 0 7 11 Triads (Scale Degrees: 135) 0 3 6 = dim. | 5 = 5: 0 0 3 7 = m = minor | 0 5 8 = 0: 0 5 8 = 5: 0 3 7 = 8: 0 4 9 0 4 6 = Mb5 | 1 7 11 = 1: 0 6 10 = 7: 0 4 6 = 11: 0 2 8 0 4 7 = M = major | 1 8 = 1: 0 7 = 8: 0 5 0 4 8 = + = augmented | 3 7 11 = 3: 0 4 8 = 7: 0 4 8 = 11: 0 4 8 6ths chords no 5th (Scale Degrees: 136) 0 3 9 = m6 no 5th | 8 = 8: 0 0 4 9 = M6 no 5th | 3 8 11 = 3: 0 5 8 = 8: 0 3 7 = 11: 0 4 9 7th chords no 5th (Scale Degrees: 137) 0 3 10 = m7 no 5th | 5 = 5: 0 0 3 11 = mM7 no 5th | 0 8 = 0: 0 8 = 8: 0 4 0 4 10 = 7 no 5th | 1 3 7 = 1: 0 2 6 = 3: 0 4 10 = 7: 0 6 8 0 4 11 = M7 no 5th | 1 8 = 1: 0 7 = 8: 0 5 Sus4 Triads (Scale Degrees: 145) 0 5 7 = sus4 | 0 8 = 0: 0 8 = 8: 0 4 0 6 7 = sus#4, Viennese trichord | 1 5 = 1: 0 4 = 5: 0 8 7sus chords no 5th (Scale Degrees: 147) 0 5 10 = 3 in 4ths | 3 7 = 3: 0 4 = 7: 0 8 6th chords no 3rd (Scale Degrees: 156) 0 7 8 | 0 5 = 0: 0 5 = 5: 0 7 0 7 9 | 8 = 8: 0 7th chords no 3rd (Scale Degrees: 157) 0 7 10 = m power chord | 1 5 = 1: 0 4 = 5: 0 8 0 7 11 = M power chord | 0 1 8 = 0: 0 1 8 = 1: 0 7 11 = 8: 0 4 5 Scale Degrees: 167 0 10 11 | 1 = 1: 0 chromatic tetrachord (Scale Degrees: 1223) 0 1 2 4 | 11 = 11: 0 1st 3 notes of diamorphic scale (Scale Degrees: 1234) 0 1 3 5 = Greek diatonic tetrachord | 0 = 0: 0 0 1 4 5 = Greek chromatic tetrachord | 7 = 7: 0 0 2 4 5 = maj. tetrachord | 3 = 3: 0 0 2 4 6 = whole tone tetrachord | 1 11 = 1: 0 10 = 11: 0 2 0 3 4 5 | 8 = 8: 0 Add 9 Chords (Scale Degrees: 1235) 0 1 3 7 = m add b9, all-int | 0 = 0: 0 0 2 3 6 = dim. add 9 | 5 = 5: 0 0 2 3 7 = m add9 | 5 = 5: 0 0 2 4 7 = add9 , Mu chord | 1 = 1: 0 0 3 4 7 = add #9, maj-min chord | 8 = 8: 0 6/9 chord no 5th (Scale Degrees: 1236) 0 1 4 9 | 11 = 11: 0 0 2 4 9 | 3 11 = 3: 0 8 = 11: 0 4 0 3 4 9 | 8 = 8: 0 9th chords no 5th (Scale Degrees: 1237) 0 1 3 11 = Mm7b9 no 5th | 0 = 0: 0 0 1 4 10 = 7b9 no 5th | 7 = 7: 0 0 2 3 10 = m9 no 5th | 5 = 5: 0 0 2 4 10 = 9 no 5th | 1 3 = 1: 0 2 = 3: 0 10 0 2 4 11 = M9 no 5th | 1 = 1: 0 0 3 4 11 = M7#9 no 5th | 8 = 8: 0 11th chords no 3rd no 7th (Scale Degrees: 1245) 0 1 5 7 | 0 = 0: 0 0 2 6 7 | 1 5 = 1: 0 4 = 5: 0 8 6/9 chords no 3rd (Scale Degrees: 1256) 0 1 7 8 | 0 = 0: 0 0 2 7 8 | 5 = 5: 0 9th chords no 3rd (Scale Degrees: 1257) 0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd | 0 = 0: 0 0 2 7 10 = 9 no 3rd, m9 no 3rd | 1 5 = 1: 0 4 = 5: 0 8 0 2 7 11 = M9 no 3rd, mM9 no 3rd | 1 = 1: 0 13th chords no 3rd no 5th no 11th (Scale Degrees: 1267) 0 2 9 10 | 3 = 3: 0 0 2 10 11 | 1 = 1: 0 Add 11 Chords (Scale Degrees: 1345) 0 3 5 7 = m add 11 | 0 8 = 0: 0 8 = 8: 0 4 0 3 6 7 = m add #11 | 5 = 5: 0 0 4 5 6 = Mb5 add 11 | 7 = 7: 0 0 4 5 7 = M add 11 | 8 = 8: 0 0 4 6 7 = Madd#11, Jetsons, all-int | 1 = 1: 0 11th chords no 5th no 9th (Scale Degrees: 1347) 0 3 5 11 = all-int | 0 8 = 0: 0 8 = 8: 0 4 0 4 5 10 | 3 7 = 3: 0 4 = 7: 0 8 0 4 5 11 | 8 = 8: 0 6th Chords (Scale Degrees: 1356) 0 3 7 8 = mb6 | 0 5 = 0: 0 5 = 5: 0 7 0 3 7 9 = m6 , Tristan chord | 8 = 8: 0 0 4 7 9 = 6 | 8 = 8: 0 7th Chords (Scale Degrees: 1357) 0 3 6 10 = m7b5, Tristan chord, half-dim. 7th | 5 = 5: 0 0 3 7 10 = m7 | 5 = 5: 0 0 3 7 11 = mM7 | 0 8 = 0: 0 8 = 8: 0 4 0 4 6 10 = 7b5, French aug. 6th chord | 1 7 = 1: 0 6 = 7: 0 6 0 4 6 11 = M7b5 | 1 = 1: 0 0 4 7 10 = 7, German aug. 6th chord | 1 = 1: 0 0 4 7 11 = M7 | 1 8 = 1: 0 7 = 8: 0 5 0 4 8 10 = 7#5 | 3 7 = 3: 0 4 = 7: 0 8 6/7 chords no 5th (Scale Degrees: 1367) 0 3 9 11 = mM7/6 no 5th | 8 = 8: 0 0 4 9 10 = 7/6 no 5th, all-int | 3 = 3: 0 0 4 9 11 = M7/6 no 5th | 8 = 8: 0 0 4 10 11 = M7/#6 no 5th | 1 = 1: 0 Scale Degrees: 1456 0 5 7 8 | 0 = 0: 0 0 5 7 9 | 8 = 8: 0 0 6 7 8 | 5 = 5: 0 Sus 4 7th Chords (Scale Degrees: 1457) 0 5 7 11 = M7sus4 | 0 8 = 0: 0 8 = 8: 0 4 0 6 7 10 = 7sus#4, all-int | 1 5 = 1: 0 4 = 5: 0 8 0 6 7 11 = M7sus#4 | 1 = 1: 0 Scale Degrees: 1567 0 7 8 10 | 5 = 5: 0 0 7 8 11 | 0 = 0: 0 0 7 9 11 | 8 = 8: 0 0 7 10 11 | 1 = 1: 0 Scale Degrees: 12234 0 1 2 4 6 | 11 = 11: 0 Scale Degrees: 12235 0 1 2 4 8 | 11 = 11: 0 Scale Degrees: 12236 0 1 2 4 9 | 11 = 11: 0 1st 5 notes of diamorphic scale (Scale Degrees: 12345) 0 1 3 5 7 = phrygilocrian pentachord | 0 = 0: 0 0 2 3 6 7 = lydian min. pentachord | 5 = 5: 0 0 2 4 6 7 = lydian pentachord | 1 = 1: 0 0 3 4 5 7 | 8 = 8: 0 11th chords no 5th (Scale Degrees: 12347) 0 1 4 5 10 | 7 = 7: 0 0 3 4 5 11 | 8 = 8: 0 6/9 chords (Scale Degrees: 12356) 0 1 3 7 8 | 0 = 0: 0 0 2 3 7 8 = min. Hirajoshi, tizita min. | 5 = 5: 0 0 2 4 6 8 = whole tone pentachord | 11 = 11: 0 0 3 4 7 9 = slendro | 8 = 8: 0 9th chords (Scale Degrees: 12357) 0 1 3 7 11 = mM7b9 | 0 = 0: 0 0 1 4 6 10 = 7b5b9 | 7 = 7: 0 0 1 4 8 10 = 7#5b9 | 7 = 7: 0 0 2 3 6 10 = m9b5 | 5 = 5: 0 0 2 3 7 10 = m9 | 5 = 5: 0 0 2 4 6 10 = 9b5, alt. chord | 1 = 1: 0 0 2 4 6 11 = M9b5 | 1 = 1: 0 0 2 4 7 10 = 9 | 1 = 1: 0 0 2 4 7 11 = M9 | 1 = 1: 0 0 2 4 8 10 = 9#5, alt. chord | 3 = 3: 0 0 3 4 7 11 = M7#9 | 8 = 8: 0 13th chords no 5th no 11th (Scale Degrees: 12367) 0 2 4 9 10 = 13 no 5th no 11th | 3 = 3: 0 0 2 4 10 11 = M#13 no 5th no 11th | 1 = 1: 0 0 3 4 9 11 = M13#9 no 5th no 11th | 8 = 8: 0 Scale Degrees: 12456 0 1 5 7 8 = In, Sakura pent., kumoi joshi | 0 = 0: 0 0 2 6 7 8 | 5 = 5: 0 11th chords no 3rd (Scale Degrees: 12457) 0 1 5 7 11 | 0 = 0: 0 0 2 6 7 10 | 1 5 = 1: 0 4 = 5: 0 8 0 2 6 7 11 | 1 = 1: 0 13th chords no 3rd no 11th (Scale Degrees: 12567) 0 1 7 8 11 | 0 = 0: 0 0 2 7 8 10 | 5 = 5: 0 0 2 7 10 11 | 1 = 1: 0 Scale Degrees: 13456 0 3 5 7 8 | 0 = 0: 0 0 3 5 7 9 | 8 = 8: 0 0 3 6 7 8 | 5 = 5: 0 0 4 5 6 8 | 7 = 7: 0 0 4 5 7 9 | 8 = 8: 0 11th Chords no 9th (Scale Degrees: 13457) 0 3 5 7 11 = mM11 no 9th | 0 8 = 0: 0 8 = 8: 0 4 0 3 6 7 10 = m7#11 no 9th, batti min. #4 | 5 = 5: 0 0 4 5 6 10 = 11b5 no 9th | 7 = 7: 0 0 4 5 7 11 = M11 no 9th, ryukuan | 8 = 8: 0 0 4 6 7 10 = 7#11 no 9th | 1 = 1: 0 0 4 6 7 11 = M#11 no 9th lydian chord, batti maj. #4, Hiraj. | 1 = 1: 0 7/6 Chords (Scale Degrees: 13567) 0 3 7 8 10 = m7/b6 | 5 = 5: 0 0 3 7 8 11 = mM7/b6 | 0 = 0: 0 0 3 7 9 11 = mM7/6 | 8 = 8: 0 0 4 6 10 11 = M7b5/#6 | 1 = 1: 0 0 4 7 9 11 = M7/6 | 8 = 8: 0 0 4 7 10 11 = M7#6 | 1 = 1: 0 0 4 8 9 10 = 7#5/6 | 3 = 3: 0 13th chords no 3rd no 9th (Scale Degrees: 14567) 0 5 7 8 11 | 0 = 0: 0 0 5 7 9 11 | 8 = 8: 0 0 6 7 8 10 | 5 = 5: 0 0 6 7 10 11 | 1 = 1: 0 Scale Degrees: 122345 0 1 2 4 6 8 | 11 = 11: 0 Scale Degrees: 122356 0 1 2 4 8 9 | 11 = 11: 0 1st 6 notes of diamorphic scale = diamorphic scales no 7th (Scale Degrees: 123456) 0 1 3 5 7 8 | 0 = 0: 0 0 2 3 6 7 8 | 5 = 5: 0 0 3 4 5 7 9 = scale of harmonics | 8 = 8: 0 11th chords = diamorphic scales no 6th (Scale Degrees: 123457) 0 1 3 5 7 11 = mM11b9 | 0 = 0: 0 0 1 4 6 8 10 = 7#5#11b9 | 7 = 7: 0 0 2 3 6 7 10 = m#11 | 5 = 5: 0 0 2 4 6 7 10 = 7#11, alt. chord | 1 = 1: 0 0 2 4 6 7 11 = M7#11 | 1 = 1: 0 0 3 4 5 7 11 = M11#9 | 8 = 8: 0 13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567) 0 1 3 7 8 11 = mMb13b9 no 11th | 0 = 0: 0 0 2 3 7 8 10 = mb13 no 11th | 5 = 5: 0 0 2 4 7 10 11 = M#13 no 11th | 1 = 1: 0 0 2 4 8 9 10 = 13#5 no 11th | 3 = 3: 0 0 3 4 7 9 11 = M13#9 no 11th | 8 = 8: 0 diamorphic scales no 3rd (Scale Degrees: 124567) 0 1 5 7 8 11 | 0 = 0: 0 0 2 6 7 8 10 | 5 = 5: 0 0 2 6 7 10 11 | 1 = 1: 0 diamorphic scales no 2nd (Scale Degrees: 134567) 0 3 5 7 8 11 = mM7b13 no 9th | 0 = 0: 0 0 3 5 7 9 11 = mM13 no 9th | 8 = 8: 0 0 3 6 7 8 10 = m7#11b13 no 9th | 5 = 5: 0 0 4 5 7 9 11 = M13 no 9th | 8 = 8: 0 0 4 6 7 10 11 = M#13#11 no 9th | 1 = 1: 0 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 5 7 8 11 = mMb13b9, Neapolitan min., harm. phrygian, Dhenuka | 0 = 0: 0 0 1 4 5 6 8 10 = 7b13#5b9#11 | 7 = 7: 0 0 2 3 6 7 8 10 = mb13#11, Gypsy, Hungarian min. I, Aeolean #4, Shanmukhapriya | 5 = 5: 0 0 2 4 5 8 9 10 = 13#5 | 3 = 3: 0 0 2 4 6 7 10 11 = M#13#11, Chitrambari | 1 = 1: 0 0 3 4 5 7 9 11 = M13#9, Shulini | 8 = 8: 0 Superset Chord Types By Family Chord Type Roots 13th chords, diamorphic scales (Scale Degrees: 1234567) 0 1 3 5 7 8 11 = mMb13b9, Neapolitan min., harm. phrygian, Dhenuka | 0 = 0: 0 0 1 4 5 6 8 10 = 7b13#5b9#11 | 7 = 7: 0 0 2 3 6 7 8 10 = mb13#11, Gypsy, Hungarian min. I, Aeolean #4, Shanmukhapriya | 5 = 5: 0 0 2 4 5 8 9 10 = 13#5 | 3 = 3: 0 0 2 4 6 7 10 11 = M#13#11, Chitrambari | 1 = 1: 0 0 3 4 5 7 9 11 = M13#9, Shulini | 8 = 8: 0 Scale Degrees: 12234566 0 1 2 4 6 7 8 9 | 11 = 11: 0 diamorphic with supplementary 2nd (Scale Degrees: 12234567) 0 1 2 3 5 7 8 11 | 0 = 0: 0 0 1 2 3 5 7 9 10 | 10 = 10: 0 0 1 2 3 6 7 8 10 | 5 = 5: 0 0 1 2 4 6 7 10 11 | 1 = 1: 0 0 1 3 4 5 7 8 11 | 0 = 0: 0 0 1 3 4 5 7 9 11 | 8 = 8: 0 0 2 3 4 5 7 9 11 = ionian & mel. min. | 8 = 8: 0 0 2 3 4 6 7 8 10 | 5 = 5: 0 0 2 3 4 6 7 10 11 = 2367AB & dom.7, 2367AB & M7 | 1 = 1: 0 Scale Degrees: 12235667 0 1 3 4 7 8 9 11 | 4 = 4: 0 Scale Degrees: 12244567 0 1 2 5 6 7 9 11 | 6 = 6: 0 diamorphic with supplementary 4th (Scale Degrees: 12344567) 0 1 3 5 6 7 8 11 | 0 = 0: 0 0 1 4 5 6 7 8 10 | 7 = 7: 0 0 1 4 5 6 8 10 11 = Persian | 7 = 7: 0 0 2 3 5 6 7 8 10 | 5 = 5: 0 0 2 4 5 6 7 10 11 | 1 = 1: 0 0 3 4 5 6 7 9 11 | 8 = 8: 0 diamorphic with supplementary 6th (Scale Degrees: 12345667) 0 1 3 5 6 9 10 11 | 2 = 2: 0 0 1 3 5 7 8 9 11 | 0 = 0: 0 0 1 3 5 7 8 10 11 | 0 = 0: 0

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

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

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

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

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

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

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

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

2nds / 9ths = 1st 2 notes of diamorphic scale (Scale Degrees: 12)
0 1 = semitone, min. 2nd, min. 9th	\|	0 7 11 = 0: 0 7 11 = 7: 0 4 5 = 11: 0 1 8
0 2 = maj. 2nd, dim., maj. 9th	\|	1 3 5 11 = 1: 0 2 4 10 = 3: 0 2 8 10 = 5: 0 6 8 10 = 11: 0 2 4 6

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

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

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

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

7ths / 14ths (Scale Degrees: 17)
0 10 = aug. 6th, min. 7th, aug. 13th	\|	1 3 5 7 = 1: 0 2 4 6 = 3: 0 2 4 10 = 5: 0 2 8 10 = 7: 0 6 8 10
0 11 = maj. 7th, maj. 14th	\|	0 1 8 = 0: 0 1 8 = 1: 0 7 11 = 8: 0 4 5

chromatic trichord (Scale Degrees: 122)
0 1 2 = 1st 3 chromatics	\|	11 = 11: 0

1st 3 notes of diamorphic scale (Scale Degrees: 123)
0 1 3	\|	0 = 0: 0
0 1 4	\|	7 11 = 7: 0 4 = 11: 0 8
0 2 3 = min. trichord	\|	5 = 5: 0
0 2 4 = maj. trichord	\|	1 3 11 = 1: 0 2 10 = 3: 0 8 10 = 11: 0 2 4
0 3 4	\|	8 = 8: 0

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

Root with upper and lower neighbors (Scale Degrees: 127)
0 1 11 = root & chr. neighbors	\|	0 = 0: 0
0 2 11	\|	1 = 1: 0

Scale Degrees: 134
0 3 5	\|	0 8 = 0: 0 8 = 8: 0 4
0 4 5	\|	3 7 8 = 3: 0 4 5 = 7: 0 1 8 = 8: 0 7 11

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

6ths chords no 5th (Scale Degrees: 136)
0 3 9 = m6 no 5th	\|	8 = 8: 0
0 4 9 = M6 no 5th	\|	3 8 11 = 3: 0 5 8 = 8: 0 3 7 = 11: 0 4 9

7th chords no 5th (Scale Degrees: 137)
0 3 10 = m7 no 5th	\|	5 = 5: 0
0 3 11 = mM7 no 5th	\|	0 8 = 0: 0 8 = 8: 0 4
0 4 10 = 7 no 5th	\|	1 3 7 = 1: 0 2 6 = 3: 0 4 10 = 7: 0 6 8
0 4 11 = M7 no 5th	\|	1 8 = 1: 0 7 = 8: 0 5

Sus4 Triads (Scale Degrees: 145)
0 5 7 = sus4	\|	0 8 = 0: 0 8 = 8: 0 4
0 6 7 = sus#4, Viennese trichord	\|	1 5 = 1: 0 4 = 5: 0 8

7sus chords no 5th (Scale Degrees: 147)
0 5 10 = 3 in 4ths	\|	3 7 = 3: 0 4 = 7: 0 8

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

7th chords no 3rd (Scale Degrees: 157)
0 7 10 = m power chord	\|	1 5 = 1: 0 4 = 5: 0 8
0 7 11 = M power chord	\|	0 1 8 = 0: 0 1 8 = 1: 0 7 11 = 8: 0 4 5

Scale Degrees: 167
0 10 11	\|	1 = 1: 0

chromatic tetrachord (Scale Degrees: 1223)
0 1 2 4	\|	11 = 11: 0

1st 3 notes of diamorphic scale (Scale Degrees: 1234)
0 1 3 5 = Greek diatonic tetrachord	\|	0 = 0: 0
0 1 4 5 = Greek chromatic tetrachord	\|	7 = 7: 0
0 2 4 5 = maj. tetrachord	\|	3 = 3: 0
0 2 4 6 = whole tone tetrachord	\|	1 11 = 1: 0 10 = 11: 0 2
0 3 4 5	\|	8 = 8: 0

Add 9 Chords (Scale Degrees: 1235)
0 1 3 7 = m add b9, all-int	\|	0 = 0: 0
0 2 3 6 = dim. add 9	\|	5 = 5: 0
0 2 3 7 = m add9	\|	5 = 5: 0
0 2 4 7 = add9 , Mu chord	\|	1 = 1: 0
0 3 4 7 = add #9, maj-min chord	\|	8 = 8: 0

6/9 chord no 5th (Scale Degrees: 1236)
0 1 4 9	\|	11 = 11: 0
0 2 4 9	\|	3 11 = 3: 0 8 = 11: 0 4
0 3 4 9	\|	8 = 8: 0

9th chords no 5th (Scale Degrees: 1237)
0 1 3 11 = Mm7b9 no 5th	\|	0 = 0: 0
0 1 4 10 = 7b9 no 5th	\|	7 = 7: 0
0 2 3 10 = m9 no 5th	\|	5 = 5: 0
0 2 4 10 = 9 no 5th	\|	1 3 = 1: 0 2 = 3: 0 10
0 2 4 11 = M9 no 5th	\|	1 = 1: 0
0 3 4 11 = M7#9 no 5th	\|	8 = 8: 0

11th chords no 3rd no 7th (Scale Degrees: 1245)
0 1 5 7	\|	0 = 0: 0
0 2 6 7	\|	1 5 = 1: 0 4 = 5: 0 8

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

9th chords no 3rd (Scale Degrees: 1257)
0 1 7 11 = M7b5 no 3rd, mM7b9 no 3rd	\|	0 = 0: 0
0 2 7 10 = 9 no 3rd, m9 no 3rd	\|	1 5 = 1: 0 4 = 5: 0 8
0 2 7 11 = M9 no 3rd, mM9 no 3rd	\|	1 = 1: 0

13th chords no 3rd no 5th no 11th (Scale Degrees: 1267)
0 2 9 10	\|	3 = 3: 0
0 2 10 11	\|	1 = 1: 0

Add 11 Chords (Scale Degrees: 1345)
0 3 5 7 = m add 11	\|	0 8 = 0: 0 8 = 8: 0 4
0 3 6 7 = m add #11	\|	5 = 5: 0
0 4 5 6 = Mb5 add 11	\|	7 = 7: 0
0 4 5 7 = M add 11	\|	8 = 8: 0
0 4 6 7 = Madd#11, Jetsons, all-int	\|	1 = 1: 0

11th chords no 5th no 9th (Scale Degrees: 1347)
0 3 5 11 = all-int	\|	0 8 = 0: 0 8 = 8: 0 4
0 4 5 10	\|	3 7 = 3: 0 4 = 7: 0 8
0 4 5 11	\|	8 = 8: 0

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

7th Chords (Scale Degrees: 1357)
0 3 6 10 = m7b5, Tristan chord, half-dim. 7th	\|	5 = 5: 0
0 3 7 10 = m7	\|	5 = 5: 0
0 3 7 11 = mM7	\|	0 8 = 0: 0 8 = 8: 0 4
0 4 6 10 = 7b5, French aug. 6th chord	\|	1 7 = 1: 0 6 = 7: 0 6
0 4 6 11 = M7b5	\|	1 = 1: 0
0 4 7 10 = 7, German aug. 6th chord	\|	1 = 1: 0
0 4 7 11 = M7	\|	1 8 = 1: 0 7 = 8: 0 5
0 4 8 10 = 7#5	\|	3 7 = 3: 0 4 = 7: 0 8

6/7 chords no 5th (Scale Degrees: 1367)
0 3 9 11 = mM7/6 no 5th	\|	8 = 8: 0
0 4 9 10 = 7/6 no 5th, all-int	\|	3 = 3: 0
0 4 9 11 = M7/6 no 5th	\|	8 = 8: 0
0 4 10 11 = M7/#6 no 5th	\|	1 = 1: 0

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

Sus 4 7th Chords (Scale Degrees: 1457)
0 5 7 11 = M7sus4	\|	0 8 = 0: 0 8 = 8: 0 4
0 6 7 10 = 7sus#4, all-int	\|	1 5 = 1: 0 4 = 5: 0 8
0 6 7 11 = M7sus#4	\|	1 = 1: 0

Scale Degrees: 1567
0 7 8 10	\|	5 = 5: 0
0 7 8 11	\|	0 = 0: 0
0 7 9 11	\|	8 = 8: 0
0 7 10 11	\|	1 = 1: 0

Scale Degrees: 12234
0 1 2 4 6	\|	11 = 11: 0

Scale Degrees: 12235
0 1 2 4 8	\|	11 = 11: 0

Scale Degrees: 12236
0 1 2 4 9	\|	11 = 11: 0

1st 5 notes of diamorphic scale (Scale Degrees: 12345)
0 1 3 5 7 = phrygilocrian pentachord	\|	0 = 0: 0
0 2 3 6 7 = lydian min. pentachord	\|	5 = 5: 0
0 2 4 6 7 = lydian pentachord	\|	1 = 1: 0
0 3 4 5 7	\|	8 = 8: 0

11th chords no 5th (Scale Degrees: 12347)
0 1 4 5 10	\|	7 = 7: 0
0 3 4 5 11	\|	8 = 8: 0

6/9 chords (Scale Degrees: 12356)
0 1 3 7 8	\|	0 = 0: 0
0 2 3 7 8 = min. Hirajoshi, tizita min.	\|	5 = 5: 0
0 2 4 6 8 = whole tone pentachord	\|	11 = 11: 0
0 3 4 7 9 = slendro	\|	8 = 8: 0

9th chords (Scale Degrees: 12357)
0 1 3 7 11 = mM7b9	\|	0 = 0: 0
0 1 4 6 10 = 7b5b9	\|	7 = 7: 0
0 1 4 8 10 = 7#5b9	\|	7 = 7: 0
0 2 3 6 10 = m9b5	\|	5 = 5: 0
0 2 3 7 10 = m9	\|	5 = 5: 0
0 2 4 6 10 = 9b5, alt. chord	\|	1 = 1: 0
0 2 4 6 11 = M9b5	\|	1 = 1: 0
0 2 4 7 10 = 9	\|	1 = 1: 0
0 2 4 7 11 = M9	\|	1 = 1: 0
0 2 4 8 10 = 9#5, alt. chord	\|	3 = 3: 0
0 3 4 7 11 = M7#9	\|	8 = 8: 0

13th chords no 5th no 11th (Scale Degrees: 12367)
0 2 4 9 10 = 13 no 5th no 11th	\|	3 = 3: 0
0 2 4 10 11 = M#13 no 5th no 11th	\|	1 = 1: 0
0 3 4 9 11 = M13#9 no 5th no 11th	\|	8 = 8: 0

Scale Degrees: 12456
0 1 5 7 8 = In, Sakura pent., kumoi joshi	\|	0 = 0: 0
0 2 6 7 8	\|	5 = 5: 0

11th chords no 3rd (Scale Degrees: 12457)
0 1 5 7 11	\|	0 = 0: 0
0 2 6 7 10	\|	1 5 = 1: 0 4 = 5: 0 8
0 2 6 7 11	\|	1 = 1: 0

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

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

11th Chords no 9th (Scale Degrees: 13457)
0 3 5 7 11 = mM11 no 9th	\|	0 8 = 0: 0 8 = 8: 0 4
0 3 6 7 10 = m7#11 no 9th, batti min. #4	\|	5 = 5: 0
0 4 5 6 10 = 11b5 no 9th	\|	7 = 7: 0
0 4 5 7 11 = M11 no 9th, ryukuan	\|	8 = 8: 0
0 4 6 7 10 = 7#11 no 9th	\|	1 = 1: 0
0 4 6 7 11 = M#11 no 9th lydian chord, batti maj. #4, Hiraj.	\|	1 = 1: 0

7/6 Chords (Scale Degrees: 13567)
0 3 7 8 10 = m7/b6	\|	5 = 5: 0
0 3 7 8 11 = mM7/b6	\|	0 = 0: 0
0 3 7 9 11 = mM7/6	\|	8 = 8: 0
0 4 6 10 11 = M7b5/#6	\|	1 = 1: 0
0 4 7 9 11 = M7/6	\|	8 = 8: 0
0 4 7 10 11 = M7#6	\|	1 = 1: 0
0 4 8 9 10 = 7#5/6	\|	3 = 3: 0

13th chords no 3rd no 9th (Scale Degrees: 14567)
0 5 7 8 11	\|	0 = 0: 0
0 5 7 9 11	\|	8 = 8: 0
0 6 7 8 10	\|	5 = 5: 0
0 6 7 10 11	\|	1 = 1: 0

Scale Degrees: 122345
0 1 2 4 6 8	\|	11 = 11: 0

Scale Degrees: 122356
0 1 2 4 8 9	\|	11 = 11: 0

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

11th chords = diamorphic scales no 6th (Scale Degrees: 123457)
0 1 3 5 7 11 = mM11b9	\|	0 = 0: 0
0 1 4 6 8 10 = 7#5#11b9	\|	7 = 7: 0
0 2 3 6 7 10 = m#11	\|	5 = 5: 0
0 2 4 6 7 10 = 7#11, alt. chord	\|	1 = 1: 0
0 2 4 6 7 11 = M7#11	\|	1 = 1: 0
0 3 4 5 7 11 = M11#9	\|	8 = 8: 0

13th chords no 11th = diamorphic scales no 4th (Scale Degrees: 123567)
0 1 3 7 8 11 = mMb13b9 no 11th	\|	0 = 0: 0
0 2 3 7 8 10 = mb13 no 11th	\|	5 = 5: 0
0 2 4 7 10 11 = M#13 no 11th	\|	1 = 1: 0
0 2 4 8 9 10 = 13#5 no 11th	\|	3 = 3: 0
0 3 4 7 9 11 = M13#9 no 11th	\|	8 = 8: 0

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

diamorphic scales no 2nd (Scale Degrees: 134567)
0 3 5 7 8 11 = mM7b13 no 9th	\|	0 = 0: 0
0 3 5 7 9 11 = mM13 no 9th	\|	8 = 8: 0
0 3 6 7 8 10 = m7#11b13 no 9th	\|	5 = 5: 0
0 4 5 7 9 11 = M13 no 9th	\|	8 = 8: 0
0 4 6 7 10 11 = M#13#11 no 9th	\|	1 = 1: 0

13th chords, diamorphic scales (Scale Degrees: 1234567)
0 1 3 5 7 8 11 = mMb13b9, Neapolitan min., harm. phrygian, Dhenuka	\|	0 = 0: 0
0 1 4 5 6 8 10 = 7b13#5b9#11	\|	7 = 7: 0
0 2 3 6 7 8 10 = mb13#11, Gypsy, Hungarian min. I, Aeolean #4, Shanmukhapriya	\|	5 = 5: 0
0 2 4 5 8 9 10 = 13#5	\|	3 = 3: 0
0 2 4 6 7 10 11 = M#13#11, Chitrambari	\|	1 = 1: 0
0 3 4 5 7 9 11 = M13#9, Shulini	\|	8 = 8: 0