User:Flirora/31edo chords: Difference between revisions
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+An incomplete list of chords in [[31edo]] | |+ An incomplete list of chords in [[31edo]] | ||
!Name | ! Name | ||
!Symbol | ! Symbol | ||
!Symbol (Kite) | ! Symbol (Kite) | ||
!Notation (from C) | ! Notation (from C) | ||
!Steps | ! Steps | ||
!Approximate JI | ! Approximate JI | ||
!Notes | ! Notes | ||
|- | |- | ||
|major | | major | ||
|(M) | | (M) | ||
|(M) | | (M) | ||
|C E G | | C E G | ||
|0 10 18 | | 0 10 18 | ||
|4:5:6 | | 4:5:6 | ||
| | | | ||
|- | |- | ||
|minor | | minor | ||
|m | | m | ||
|m | | m | ||
|C Eb G | | C Eb G | ||
|0 8 18 | | 0 8 18 | ||
|10:12:15 | | 10:12:15 | ||
| | | | ||
|- | |- | ||
|neutral | | neutral | ||
|n | | n | ||
|~ | | ~ | ||
|C Ed G | | C Ed G | ||
|0 9 18 | | 0 9 18 | ||
|18:22:27 | | 18:22:27 | ||
| | | | ||
|- | |- | ||
|subminor | | subminor | ||
|sm | | sm | ||
|vm | | vm | ||
|C Edb G | | C Edb G | ||
|0 7 18 | | 0 7 18 | ||
|6:7:9 | | 6:7:9 | ||
| | | | ||
|- | |- | ||
|supermajor | | supermajor | ||
|SM | | SM | ||
|^ | | ^ | ||
|C Et G | | C Et G | ||
|0 11 18 | | 0 11 18 | ||
|14:18:21 | | 14:18:21 | ||
| | | | ||
|- | |- | ||
|suspended 4 | | suspended 4 | ||
|sus4 | | sus4 | ||
|4 | | 4 | ||
|C F G | | C F G | ||
|0 13 18 | | 0 13 18 | ||
|6:8:9 | | 6:8:9 | ||
| | | | ||
|- | |- | ||
|suspended 2 | | suspended 2 | ||
|sus2 | | sus2 | ||
|2 | | 2 | ||
|C D G | | C D G | ||
|0 5 18 | | 0 5 18 | ||
|8:9:12 | | 8:9:12 | ||
| | | | ||
|- | |- | ||
|suspended d4 | | suspended d4 | ||
|susd4 | | susd4 | ||
|(v4) | | (v4) | ||
|C Fd G | | C Fd G | ||
|0 12 18 | | 0 12 18 | ||
|16:21:24 | | 16:21:24 | ||
| | | | ||
|- | |- | ||
|suspended t4 | | suspended t4 | ||
|sust4 | | sust4 | ||
|(^4) | | (^4) | ||
|C Ft G | | C Ft G | ||
|0 14 18 | | 0 14 18 | ||
|8:11:12 | | 8:11:12 | ||
| | | | ||
|- | |- | ||
|suspended #4 | | suspended #4 | ||
|sus#4 | | sus#4 | ||
|(#4) | | (#4) | ||
|C F# G | | C F# G | ||
|0 15 18 | | 0 15 18 | ||
|10:14:15 | | 10:14:15 | ||
| | | | ||
|- | |- | ||
|suspended t2 | | suspended t2 | ||
|sust2 | | sust2 | ||
|(^2) | | (^2) | ||
|C Dt G | | C Dt G | ||
|0 6 18 | | 0 6 18 | ||
|14:16:21 | | 14:16:21 | ||
| | | | ||
|- | |- | ||
|suspended d2 | | suspended d2 | ||
|susd2 | | susd2 | ||
|(v2) | | (v2) | ||
|C Dd G | | C Dd G | ||
|0 4 18 | | 0 4 18 | ||
|10:11:15 | | 10:11:15 | ||
| | | | ||
|- | |- | ||
|suspended b2 | | suspended b2 | ||
|susb2 | | susb2 | ||
|(b2) | | (b2) | ||
|C Db G | | C Db G | ||
|0 3 18 | | 0 3 18 | ||
|14:15:21 | | 14:15:21 | ||
| | | | ||
|- | |- | ||
|major 7th | | major 7th | ||
|M7 | | M7 | ||
|M7 | | M7 | ||
|C E G B | | C E G B | ||
|0 10 18 28 | | 0 10 18 28 | ||
|8:10:12:15 | | 8:10:12:15 | ||
| | | | ||
|- | |- | ||
|minor 7th | | minor 7th | ||
|m7 | | m7 | ||
|m7 | | m7 | ||
|C Eb G Bb | | C Eb G Bb | ||
|0 8 18 26 | | 0 8 18 26 | ||
|10:12:15:18 | | 10:12:15:18 | ||
| | | | ||
|- | |- | ||
|neutral 7th | | neutral 7th | ||
|n7 | | n7 | ||
|~7 | | ~7 | ||
|C Ed G Bd | | C Ed G Bd | ||
|0 9 18 27 | | 0 9 18 27 | ||
|18:22:27:33 | | 18:22:27:33 | ||
| | | | ||
|- | |- | ||
|subminor 7th | | subminor 7th | ||
|sm7 | | sm7 | ||
|vm7 | | vm7 | ||
|C Edb G Bdb | | C Edb G Bdb | ||
|0 7 18 25 | | 0 7 18 25 | ||
|12:14:18:21 | | 12:14:18:21 | ||
| | | | ||
|- | |- | ||
|supermajor 7th | | supermajor 7th | ||
|SM7 | | SM7 | ||
|^M7 | | ^M7 | ||
|C Et G Bt | | C Et G Bt | ||
|0 11 18 29 | | 0 11 18 29 | ||
|14:18:21:27 | | 14:18:21:27 | ||
| | | | ||
|- | |- | ||
|(dominant) 7th | | (dominant) 7th | ||
|7 | | 7 | ||
|7 | | 7 | ||
|C E G Bb | | C E G Bb | ||
|0 10 18 26 | | 0 10 18 26 | ||
|20:25:30:36 | | 20:25:30:36 | ||
| | | | ||
|- | |- | ||
|harmonic 7th | | harmonic 7th | ||
|h7 | | h7 | ||
|,v7 | | ,v7 | ||
|C E G Bdb | | C E G Bdb | ||
|0 10 18 25 | | 0 10 18 25 | ||
|4:5:6:7 | | 4:5:6:7 | ||
| | | | ||
|- | |- | ||
|7th t3 | | 7th t3 | ||
|7(t3) | | 7(t3) | ||
|^,7 | | ^,7 | ||
|C Et G Bb | | C Et G Bb | ||
|0 11 18 26 | | 0 11 18 26 | ||
|70:90:105:126 | | 70:90:105:126 | ||
| | | | ||
|- | |- | ||
|harmonic 7th t3 | | harmonic 7th t3 | ||
|h7(t3) | | h7(t3) | ||
|^,v7 | | ^,v7 | ||
|C Et G Bdb | | C Et G Bdb | ||
|0 11 18 25 | | 0 11 18 25 | ||
|28:36:42:49 | | 28:36:42:49 | ||
|"tritone" is a super 4th (~11:8) | | "tritone" is a super 4th (~11:8) | ||
|- | |- | ||
|harmonic 9th | | harmonic 9th | ||
|h9 | | h9 | ||
|9(v7) | | 9(v7) | ||
|C E G Bdb D | | C E G Bdb D | ||
|0 10 18 25 36 | | 0 10 18 25 36 | ||
|4:5:6:7:9 | | 4:5:6:7:9 | ||
| | | | ||
|- | |- | ||
|harmonic 11th | | harmonic 11th | ||
|h9(t11) | | h9(t11) | ||
|9~11(v7) | | 9~11(v7) | ||
|C E G Bdb D Ft | | C E G Bdb D Ft | ||
|0 10 18 25 36 45 | | 0 10 18 25 36 45 | ||
|4:5:6:7:9:11 | | 4:5:6:7:9:11 | ||
| | | | ||
|- | |- | ||
|harmonic 13th | | harmonic 13th | ||
|h9(d13,t11) | | h9(d13,t11) | ||
|9~11~13(v7) | | 9~11~13(v7) | ||
|C E G Bdb D Ft Ad | | C E G Bdb D Ft Ad | ||
|0 10 18 25 36 45 53 | | 0 10 18 25 36 45 53 | ||
|4:5:6:7:9:11:13 | | 4:5:6:7:9:11:13 | ||
| | | | ||
|- | |- | ||
|subminor d7 | | subminor d7 | ||
|sm(d7) | | sm(d7) | ||
|vm,~7 | | vm,~7 | ||
|C Edb G Bd | | C Edb G Bd | ||
|0 7 18 27 | | 0 7 18 27 | ||
|6:7:9:11 | | 6:7:9:11 | ||
| | | | ||
|- | |- | ||
|subharmonic 7th | | subharmonic 7th | ||
|sh7 | | sh7 | ||
|vm7(vb5) | | vm7(vb5) | ||
|C Edb Gdb Bdb | | C Edb Gdb Bdb | ||
|0 7 15 25 | | 0 7 15 25 | ||
|60:70:84:105 | | 60:70:84:105 | ||
|= sm7(db5) | | = sm7(db5) | ||
|- | |- | ||
|major add 2 | | major add 2 | ||
|add2 | | add2 | ||
|,2 | | ,2 | ||
|C D E G | | C D E G | ||
|0 5 10 18 | | 0 5 10 18 | ||
|8:9:10:12 | | 8:9:10:12 | ||
| | | | ||
|- | |- | ||
|major add t4 | | major add t4 | ||
|addt4 | | addt4 | ||
|,^4 | | ,^4 | ||
|C E Ft G | | C E Ft G | ||
|0 10 14 18 | | 0 10 14 18 | ||
|8:10:11:12 | | 8:10:11:12 | ||
| | | | ||
|- | |- | ||
|major add 2,t4 | | major add 2,t4 | ||
|add2,t4 | | add2,t4 | ||
|,2,^4 | | ,2,^4 | ||
|C D E Ft G | | C D E Ft G | ||
|0 5 10 14 18 | | 0 5 10 14 18 | ||
|8:9:10:11:12 | | 8:9:10:11:12 | ||
| | | | ||
|- | |- | ||
|minor add d2 | | minor add d2 | ||
|m(addd2) | | m(addd2) | ||
|m,v2 | | m,v2 | ||
|C Dd Eb G | | C Dd Eb G | ||
|0 4 8 18 | | 0 4 8 18 | ||
|10:11:12:15 | | 10:11:12:15 | ||
| | | | ||
|- | |- | ||
|minor add #4 | | minor add #4 | ||
|m(add#4) | | m(add#4) | ||
|m,#4 | | m,#4 | ||
|C Eb F# G | | C Eb F# G | ||
|0 8 15 18 | | 0 8 15 18 | ||
|10:12:14:15 | | 10:12:14:15 | ||
| | | | ||
|- | |- | ||
|minor add d2,#4 | | minor add d2,#4 | ||
|m(addd2,#4) | | m(addd2,#4) | ||
|m,v2,#4 | | m,v2,#4 | ||
|C Dd Eb F# G | | C Dd Eb F# G | ||
|0 4 8 15 18 | | 0 4 8 15 18 | ||
|10:11:12:14:15 | | 10:11:12:14:15 | ||
| | | | ||
|- | |- | ||
|subminor add 4 | | subminor add 4 | ||
|sm(add4) | | sm(add4) | ||
|vm,4 | | vm,4 | ||
|C Edb F G | | C Edb F G | ||
|0 7 13 18 | | 0 7 13 18 | ||
|6:7:8:9 | | 6:7:8:9 | ||
| | | | ||
|- | |- | ||
|supermajor add t2 | | supermajor add t2 | ||
|SM(addt2) | | SM(addt2) | ||
|^,^2 | | ^,^2 | ||
|C Dt Et G | | C Dt Et G | ||
|0 6 11 18 | | 0 6 11 18 | ||
|14:16:18:21 | | 14:16:18:21 | ||
| | | | ||
|- | |- | ||
|suspended t2,d4 | | suspended t2,d4 | ||
|sust2,d4 | | sust2,d4 | ||
|^2,v4 | | ^2,v4 | ||
|C Dt Fd G | | C Dt Fd G | ||
|0 6 12 18 | | 0 6 12 18 | ||
|686:784:896:(1024 ≈ 1029) | | 686:784:896:(1024 ≈ 1029) | ||
|essentially tempered slendric | | essentially tempered slendric | ||
|- | |- | ||
|6/9 | | 6/9 | ||
|6/9 | | 6/9 | ||
|6,9 | | 6,9 | ||
|C D E G A | | C D E G A | ||
|0 5 10 18 23 | | 0 5 10 18 23 | ||
|64:72:(80 ≈ 81):96:108 | | 64:72:(80 ≈ 81):96:108 | ||
|essentially tempered meantone | | essentially tempered meantone | ||
|- | |- | ||
|major 6th | | major 6th | ||
|6 | | 6 | ||
|6 | | 6 | ||
|C E G A | | C E G A | ||
|0 10 18 23 | | 0 10 18 23 | ||
|12:15:18:20 | | 12:15:18:20 | ||
|inversion of Am7 | | inversion of Am7 | ||
|- | |- | ||
|minor 6th | | minor 6th | ||
|m6 | | m6 | ||
|m6 | | m6 | ||
|C Eb G A | | C Eb G A | ||
|0 8 18 23 | | 0 8 18 23 | ||
|30:36:45:50 | | 30:36:45:50 | ||
|inversion of Am7(b5) | | inversion of Am7(b5) | ||
|- | |- | ||
|subminor add 6 | | subminor add 6 | ||
|sm(add6) | | sm(add6) | ||
|vm,6 | | vm,6 | ||
|C Edb G A | | C Edb G A | ||
|0 7 18 23 | | 0 7 18 23 | ||
|6:7:9:10 | | 6:7:9:10 | ||
| | | | ||
|- | |- | ||
|subharmonic 6th | | subharmonic 6th | ||
|sh6 | | sh6 | ||
|m,^6 | | m,^6 | ||
|C Eb G At | | C Eb G At | ||
|0 8 18 24 | | 0 8 18 24 | ||
|70:84:105:120 | | 70:84:105:120 | ||
|inversion of Atsh7 | | inversion of Atsh7 | ||
|- | |- | ||
|diminished | | diminished | ||
|° | | ° | ||
|d | | d | ||
|C Eb Gb | | C Eb Gb | ||
|0 8 16 | | 0 8 16 | ||
|25:30:36 | | 25:30:36 | ||
| | | | ||
|- | |- | ||
|diminished 7th | | diminished 7th | ||
|°7 | | °7 | ||
|d7 | | d7 | ||
|C Eb Gb Bbb | | C Eb Gb Bbb | ||
|0 8 16 24 | | 0 8 16 24 | ||
| | | | ||
|not symmetrical unlike in [[12edo]] | | not symmetrical unlike in [[12edo]] | ||
|- | |- | ||
|minor 7th b5 | | minor 7th b5 | ||
|m7(b5) | | m7(b5) | ||
|d,7 | | d,7 | ||
|C Eb Gb Bb | | C Eb Gb Bb | ||
|0 8 16 26 | | 0 8 16 26 | ||
| | | | ||
| | | | ||
|- | |- | ||
|supermajor b5 | | supermajor b5 | ||
|SM(b5) | | SM(b5) | ||
|^(b5) | | ^(b5) | ||
|C Et Gb | | C Et Gb | ||
|0 11 16 | | 0 11 16 | ||
|7:9:10 | | 7:9:10 | ||
| | | | ||
|- | |- | ||
|supermajor b5 add t2 | | supermajor b5 add t2 | ||
|SM(b5)(addt2) | | SM(b5)(addt2) | ||
|^,2(b5) | | ^,2(b5) | ||
|C D Et Gb | | C D Et Gb | ||
|0 6 11 16 | | 0 6 11 16 | ||
|7:8:9:10 | | 7:8:9:10 | ||
| | | | ||
|- | |- | ||
|augmented | | augmented | ||
| + | | + | ||
| a | | a | ||
|C E G# | | C E G# | ||
|0 10 20 | | 0 10 20 | ||
|16:20:25 | | 16:20:25 | ||
|not symmetrical unlike in [[12edo]] | | not symmetrical unlike in [[12edo]] | ||
|- | |- | ||
|major d5 | | major d5 | ||
|(d5) | | (d5) | ||
|(v5) | | (v5) | ||
|C E Gd | | C E Gd | ||
|0 10 17 | | 0 10 17 | ||
|36:45:52 | | 36:45:52 | ||
|oneirotonic R-M3-M5 ("falling major") | | oneirotonic R-M3-M5 ("falling major") | ||
|- | |- | ||
|minor d5 | | minor d5 | ||
|m(d5) | | m(d5) | ||
|m(v5) | | m(v5) | ||
|C Eb Gd | | C Eb Gd | ||
|0 8 17 | | 0 8 17 | ||
|45:54:65 | | 45:54:65 | ||
| | | | ||
|- | |- | ||
|subminor d5 | | subminor d5 | ||
|sm(d5) | | sm(d5) | ||
|vm(v5) | | vm(v5) | ||
|C Edb Gd | | C Edb Gd | ||
|0 7 17 | | 0 7 17 | ||
|18:21:26 | | 18:21:26 | ||
|oneirotonic R-m3-M5 ("falling minor") | | oneirotonic R-m3-M5 ("falling minor") | ||
|- | |- | ||
|major t5 | | major t5 | ||
|(t5) | | (t5) | ||
|(^5) | | (^5) | ||
|C E Gt | | C E Gt | ||
|0 10 19 | | 0 10 19 | ||
|84:105:128 | | 84:105:128 | ||
|oneirotonic R-M3-P6 ("rising major") | | oneirotonic R-M3-P6 ("rising major") | ||
|- | |- | ||
|minor t5 | | minor t5 | ||
|m(t5) | | m(t5) | ||
|m(^5) | | m(^5) | ||
|C Eb Gt | | C Eb Gt | ||
|0 8 19 | | 0 8 19 | ||
|105:126:160 | | 105:126:160 | ||
| | | | ||
|- | |- | ||
|subminor t5 | | subminor t5 | ||
|sm(t5) | | sm(t5) | ||
|vm(^5) | | vm(^5) | ||
|C Edb Gt | | C Edb Gt | ||
|0 7 19 | | 0 7 19 | ||
|42:49:64 | | 42:49:64 | ||
|oneirotonic R-m3-P6 ("rising minor") | | oneirotonic R-m3-P6 ("rising minor") | ||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Harmonic series approximations in 31edo (with prime limit 11) | |+ Harmonic series approximations in 31edo (with prime limit 11) | ||
!Approximate JI | ! Approximate JI | ||
!Notation (from C) | ! Notation (from C) | ||
!Steps | ! Steps | ||
|- | |- | ||
|8:9:10:11:12:14:15:16 | | 8:9:10:11:12:14:15:16 | ||
|C D E Ft G Bdb B C | | C D E Ft G Bdb B C | ||
|0 5 10 14 18 25 28 31 | | 0 5 10 14 18 25 28 31 | ||
|- | |- | ||
|9:10:11:12:14:15:16:18 | | 9:10:11:12:14:15:16:18 | ||
|C D Ed F G# A Bb C | | C D Ed F G# A Bb C | ||
|0 5 9 13 20 23 26 31 | | 0 5 9 13 20 23 26 31 | ||
|- | |- | ||
|10:11:12:14:15:16:18:20 | | 10:11:12:14:15:16:18:20 | ||
|C Dd Eb F# G Ab Bb C | | C Dd Eb F# G Ab Bb C | ||
|0 4 8 15 18 21 26 31 | | 0 4 8 15 18 21 26 31 | ||
|- | |- | ||
|11:12:14:15:16:18:20:21:22 | | 11:12:14:15:16:18:20:21:22 | ||
|C Dd Et Ft Gd Ad Bd Bt C | | C Dd Et Ft Gd Ad Bd Bt C | ||
|0 4 11 14 17 22 27 29 31 | | 0 4 11 14 17 22 27 29 31 | ||
|- | |- | ||
|12:14:15:16:18:20:21:22:24 | | 12:14:15:16:18:20:21:22:24 | ||
|C Edb E F G A Bdb Bd C | | C Edb E F G A Bdb Bd C | ||
|0 7 10 13 18 23 25 27 31 | | 0 7 10 13 18 23 25 27 31 | ||
|- | |- | ||
|14:15:16:18:20:21:22:24:25:27:28 | | 14:15:16:18:20:21:22:24:25:27:28 | ||
|C Db Dt Et F# G G# At Bb Bt C | | C Db Dt Et F# G G# At Bb Bt C | ||
|0 3 6 11 15 18 20 24 26 29 31 | | 0 3 6 11 15 18 20 24 26 29 31 | ||
|- | |- | ||
|15:16:18:20:21:22:24:25:27:28:30 | | 15:16:18:20:21:22:24:25:27:28:30 | ||
|C Db Eb F F# Gd Ab A Bb B C | | C Db Eb F F# Gd Ab A Bb B C | ||
|0 3 8 13 15 17 21 23 26 28 31 | | 0 3 8 13 15 17 21 23 26 28 31 | ||
|- | |- | ||
|16:18:20:21:22:24:25:27:28:30:32 | | 16:18:20:21:22:24:25:27:28:30:32 | ||
|C D E Fb Ft G G# A Bdb B C | | C D E Fb Ft G G# A Bdb B C | ||
|0 5 10 12 14 18 20 23 25 28 31 | | 0 5 10 12 14 18 20 23 25 28 31 | ||
|- | |- | ||
|18:20:21:22:24:25:27:28:30:32:33:35:36 | | 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 | | 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 | | 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 | | 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 | | 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 | | 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 | | 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 | | 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 | | 0 2 6 8 11 13 15 19 20 23 24 29 31 | ||
|} | |} | ||
Revision as of 10:34, 5 March 2021
| 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 t2 | SM(b5)(addt2) | ^,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") |
| 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 |