An incomplete list of chords in 31edo
Name Symbol Symbol (Kite) Notation (from C) Steps Approximate JI Notes
major (M) (M) C E G 0 10 18 4:5:6
minor m m C Eb G 0 8 18 10:12:15
neutral n ~ C Ed G 0 9 18 18:22:27
subminor sm vm C Edb G 0 7 18 6:7:9
supermajor SM ^ C Et G 0 11 18 14:18:21
suspended 4 sus4 4 C F G 0 13 18 6:8:9
suspended 2 sus2 2 C D G 0 5 18 8:9:12
suspended d4 susd4 (v4) C Fd G 0 12 18 16:21:24
suspended t4 sust4 (^4) C Ft G 0 14 18 8:11:12
suspended #4 sus#4 (#4) C F# G 0 15 18 10:14:15
suspended t2 sust2 (^2) C Dt G 0 6 18 14:16:21
suspended d2 susd2 (v2) C Dd G 0 4 18 10:11:15
suspended b2 susb2 (b2) C Db G 0 3 18 14:15:21
major 7th M7 M7 C E G B 0 10 18 28 8:10:12:15
minor 7th m7 m7 C Eb G Bb 0 8 18 26 10:12:15:18
neutral 7th n7 ~7 C Ed G Bd 0 9 18 27 18:22:27:33
subminor 7th sm7 vm7 C Edb G Bdb 0 7 18 25 12:14:18:21
supermajor 7th SM7 ^M7 C Et G Bt 0 11 18 29 14:18:21:27
(dominant) 7th 7 7 C E G Bb 0 10 18 26 20:25:30:36
harmonic 7th h7 ,v7 C E G Bdb 0 10 18 25 4:5:6:7
7th t3 7(t3) ^,7 C Et G Bb 0 11 18 26 70:90:105:126
harmonic 7th t3 h7(t3) ^,v7 C Et G Bdb 0 11 18 25 28:36:42:49 "tritone" is a super 4th (~11:8)
harmonic 9th h9 9(v7) C E G Bdb D 0 10 18 25 36 4:5:6:7:9
harmonic 11th h9(t11) 9~11(v7) C E G Bdb D Ft 0 10 18 25 36 45 4:5:6:7:9:11
harmonic 13th h9(d13,t11) 9~11~13(v7) C E G Bdb D Ft Ad 0 10 18 25 36 45 53 4:5:6:7:9:11:13
subminor d7 sm(d7) vm,~7 C Edb G Bd 0 7 18 27 6:7:9:11
subharmonic 7th sh7 vm7(vb5) C Edb Gdb Bdb 0 7 15 25 60:70:84:105 = sm7(db5)
major add 2 add2 ,2 C D E G 0 5 10 18 8:9:10:12
major add t4 addt4 ,^4 C E Ft G 0 10 14 18 8:10:11:12
major add 2,t4 add2,t4 ,2,^4 C D E Ft G 0 5 10 14 18 8:9:10:11:12
minor add d2 m(addd2) m,v2 C Dd Eb G 0 4 8 18 10:11:12:15
minor add #4 m(add#4) m,#4 C Eb F# G 0 8 15 18 10:12:14:15
minor add d2,#4 m(addd2,#4) m,v2,#4 C Dd Eb F# G 0 4 8 15 18 10:11:12:14:15
subminor add 4 sm(add4) vm,4 C Edb F G 0 7 13 18 6:7:8:9
supermajor add t2 SM(addt2) ^,^2 C Dt Et G 0 6 11 18 14:16:18:21
suspended t2,d4 sust2,d4 ^2,v4 C Dt Fd G 0 6 12 18 686:784:896:(1024 ≈ 1029) essentially tempered slendric
6/9 6/9 6,9 C D E G A 0 5 10 18 23 64:72:(80 ≈ 81):96:108 essentially tempered meantone
major 6th 6 6 C E G A 0 10 18 23 12:15:18:20 inversion of Am7
minor 6th m6 m6 C Eb G A 0 8 18 23 30:36:45:50 inversion of Am7(b5)
subminor add 6 sm(add6) vm,6 C Edb G A 0 7 18 23 6:7:9:10
subharmonic 6th sh6 m,^6 C Eb G At 0 8 18 24 70:84:105:120 inversion of Atsh7
diminished ° d C Eb Gb 0 8 16 25:30:36
diminished 7th °7 d7 C Eb Gb Bbb 0 8 16 24 not symmetrical unlike in 12edo
minor 7th b5 m7(b5) d,7 C Eb Gb Bb 0 8 16 26
supermajor b5 SM(b5) ^(b5) C Et Gb 0 11 16 7:9:10
supermajor b5 add 2 SM(b5)(add2) ^,2(b5) C D Et Gb 0 6 11 16 7:8:9:10
augmented + a C E G# 0 10 20 16:20:25 not symmetrical unlike in 12edo
major d5 (d5) (v5) C E Gd 0 10 17 36:45:52 oneirotonic R-M3-M5 ("falling major")
minor d5 m(d5) m(v5) C Eb Gd 0 8 17 45:54:65
subminor d5 sm(d5) vm(v5) C Edb Gd 0 7 17 18:21:26 oneirotonic R-m3-M5 ("falling minor")
major t5 (t5) (^5) C E Gt 0 10 19 84:105:128 oneirotonic R-M3-P6 ("rising major")
minor t5 m(t5) m(^5) C Eb Gt 0 8 19 105:126:160
subminor t5 sm(t5) vm(^5) C Edb Gt 0 7 19 42:49:64 oneirotonic R-m3-P6 ("rising minor")
Harmonic series approximations in 31edo (with prime limit 11)
Approximate JI Notation (from C) Steps
8:9:10:11:12:14:15:16 C D E Ft G Bdb B C 0 5 10 14 18 25 28 31
9:10:11:12:14:15:16:18 C D Ed F G# A Bb C 0 5 9 13 20 23 26 31
10:11:12:14:15:16:18:20 C Dd Eb F# G Ab Bb C 0 4 8 15 18 21 26 31
11:12:14:15:16:18:20:21:22 C Dd Et Ft Gd Ad Bd Bt C 0 4 11 14 17 22 27 29 31
12:14:15:16:18:20:21:22:24 C Edb E F G A Bdb Bd C 0 7 10 13 18 23 25 27 31
14:15:16:18:20:21:22:24:25:27:28 C Db Dt Et F# G G# At Bb Bt C 0 3 6 11 15 18 20 24 26 29 31
15:16:18:20:21:22:24:25:27:28:30 C Db Eb F F# Gd Ab A Bb B C 0 3 8 13 15 17 21 23 26 28 31
16:18:20:21:22:24:25:27:28:30:32 C D E Fb Ft G G# A Bdb B C 0 5 10 12 14 18 20 23 25 28 31
18:20:21:22:24:25:27:28:30:32:33:35:36 C D Edb Ed F F# G G# A Bb Bd Cd C 0 5 7 9 13 15 18 20 23 26 27 29 31
20:21:22:24:25:27:28:30:32:33:35:36:40 C C# Dd Eb E F F# G Ab Ad Bdb Bb C 0 2 4 8 10 13 15 18 21 22 25 26 31
21:22:24:25:27:28:30:32:33:35:36:40:42 C C# Dt Eb Et F F# Gt G# A At Bt C 0 2 6 8 11 13 15 19 20 23 24 29 31