User:Flirora/31edo chords: Difference between revisions

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Flirora (talk | contribs)
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290 edits
add Kite notation symbols
Line 3: Line 3:
!Name
!Name
!Symbol
!Symbol
!Symbol (Kite)
!Notation (from C)
!Notation (from C)
!Steps
!Steps
Line 9: Line 10:
|-
|-
|major
|major
|(M)
|(M)
|(M)
|C E G
|C E G
Line 16: Line 18:
|-
|-
|minor
|minor
|m
|m
|m
|C Eb G
|C Eb G
Line 24: Line 27:
|neutral
|neutral
|n
|n
|~
|C Ed G
|C Ed G
|0 9 18
|0 9 18
Line 31: Line 35:
|subminor
|subminor
|sm
|sm
|vm
|C Edb G
|C Edb G
|0 7 18
|0 7 18
Line 38: Line 43:
|supermajor
|supermajor
|SM
|SM
|^
|C Et G
|C Et G
|0 11 18
|0 11 18
Line 45: Line 51:
|suspended 4
|suspended 4
|sus4
|sus4
|4
|C F G
|C F G
|0 13 18
|0 13 18
Line 52: Line 59:
|suspended 2
|suspended 2
|sus2
|sus2
|2
|C D G
|C D G
|0 5 18
|0 5 18
Line 59: Line 67:
|suspended d4
|suspended d4
|susd4
|susd4
|(v4)
|C Fd G
|C Fd G
|0 12 18
|0 12 18
Line 66: Line 75:
|suspended t4
|suspended t4
|sust4
|sust4
|(^4)
|C Ft G
|C Ft G
|0 14 18
|0 14 18
Line 73: Line 83:
|suspended #4
|suspended #4
|sus#4
|sus#4
|(#4)
|C F# G
|C F# G
|0 15 18
|0 15 18
Line 80: Line 91:
|suspended t2
|suspended t2
|sust2
|sust2
|(^2)
|C Dt G
|C Dt G
|0 6 18
|0 6 18
Line 87: Line 99:
|suspended d2
|suspended d2
|susd2
|susd2
|(v2)
|C Dd G
|C Dd G
|0 4 18
|0 4 18
Line 94: Line 107:
|suspended b2
|suspended b2
|susb2
|susb2
|(b2)
|C Db G
|C Db G
|0 3 18
|0 3 18
Line 100: Line 114:
|-
|-
|major 7th
|major 7th
|M7
|M7
|M7
|C E G B
|C E G B
Line 107: Line 122:
|-
|-
|minor 7th
|minor 7th
|m7
|m7
|m7
|C Eb G Bb
|C Eb G Bb
Line 115: Line 131:
|neutral 7th
|neutral 7th
|n7
|n7
|~7
|C Ed G Bd
|C Ed G Bd
|0 9 18 27
|0 9 18 27
Line 122: Line 139:
|subminor 7th
|subminor 7th
|sm7
|sm7
|vm7
|C Edb G Bdb
|C Edb G Bdb
|0 7 18 25
|0 7 18 25
Line 129: Line 147:
|supermajor 7th
|supermajor 7th
|SM7
|SM7
|^7
|C Et G Bt
|C Et G Bt
|0 11 18 29
|0 11 18 29
Line 135: Line 154:
|-
|-
|(dominant) 7th
|(dominant) 7th
|7
|7
|7
|C E G Bb
|C E G Bb
Line 143: Line 163:
|harmonic 7th
|harmonic 7th
|h7
|h7
|,v7
|C E G Bdb
|C E G Bdb
|0 10 18 25
|0 10 18 25
Line 150: Line 171:
|7th t3
|7th t3
|7(t3)
|7(t3)
|^,7
|C Et G Bb
|C Et G Bb
|0 11 18 26
|0 11 18 26
Line 157: Line 179:
|harmonic 7th t3
|harmonic 7th t3
|h7(t3)
|h7(t3)
|^,v7
|C Et G Bdb
|C Et G Bdb
|0 11 18 25
|0 11 18 25
Line 164: Line 187:
|harmonic 9th
|harmonic 9th
|h9
|h9
|9(v7)
|C E G Bdb D
|C E G Bdb D
|0 10 18 25 36
|0 10 18 25 36
Line 171: Line 195:
|harmonic 11th
|harmonic 11th
|h9(t11)
|h9(t11)
|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
Line 178: Line 203:
|harmonic 13th
|harmonic 13th
|h9(d13,t11)
|h9(d13,t11)
|
|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
Line 185: Line 211:
|subminor d7
|subminor d7
|sm(d7)
|sm(d7)
|vm,~7
|C Edb G Bd
|C Edb G Bd
|0 7 18 27
|0 7 18 27
Line 192: Line 219:
|subharmonic 7th
|subharmonic 7th
|sh7
|sh7
|vm7(vb5)
|C Edb Gdb Bdb
|C Edb Gdb Bdb
|0 7 15 25
|0 7 15 25
Line 199: Line 227:
|major add 2
|major add 2
|add2
|add2
|,2
|C D E G
|C D E G
|0 5 10 18
|0 5 10 18
Line 206: Line 235:
|major add t4
|major add t4
|addt4
|addt4
|,^4
|C E Ft G
|C E Ft G
|0 10 14 18
|0 10 14 18
Line 213: Line 243:
|major add 2,t4
|major add 2,t4
|add2,t4
|add2,t4
|,2,^4
|C D E Ft G
|C D E Ft G
|0 5 10 14 18
|0 5 10 14 18
Line 220: Line 251:
|minor add d2
|minor add d2
|m(addd2)
|m(addd2)
|m,v2
|C Dd Eb G
|C Dd Eb G
|0 4 8 18
|0 4 8 18
Line 227: Line 259:
|minor add #4
|minor add #4
|m(add#4)
|m(add#4)
|m,#4
|C Eb F# G
|C Eb F# G
|0 8 15 18
|0 8 15 18
Line 234: Line 267:
|minor add d2,#4
|minor add d2,#4
|m(addd2,#4)
|m(addd2,#4)
|m,v2,#4
|C Dd Eb F# G
|C Dd Eb F# G
|0 4 8 15 18
|0 4 8 15 18
Line 241: Line 275:
|subminor add 4
|subminor add 4
|sm(add4)
|sm(add4)
|vm,4
|C Edb F G
|C Edb F G
|0 7 13 18
|0 7 13 18
Line 248: Line 283:
|supermajor add t2
|supermajor add t2
|SM(addt2)
|SM(addt2)
|^,^2
|C Dt Et G
|C Dt Et G
|0 6 11 18
|0 6 11 18
Line 255: Line 291:
|suspended t2,d4
|suspended t2,d4
|sust2,d4
|sust2,d4
|^2,v4
|C Dt Fd G
|C Dt Fd G
|0 6 12 18
|0 6 12 18
Line 260: Line 297:
|essentially tempered slendric
|essentially tempered slendric
|-
|-
|6/9
|6/9
|6/9
|6/9
|6/9
Line 268: Line 306:
|-
|-
|major 6th
|major 6th
|6
|6
|6
|C E G A
|C E G A
Line 275: Line 314:
|-
|-
|minor 6th
|minor 6th
|m6
|m6
|m6
|C Eb G A
|C Eb G A
Line 283: Line 323:
|subminor add 6
|subminor add 6
|sm(add6)
|sm(add6)
|vm,6
|C Edb G A
|C Edb G A
|0 7 18 23
|0 7 18 23
Line 290: Line 331:
|subharmonic 6th
|subharmonic 6th
|sh6
|sh6
|m,^6
|C Eb G At
|C Eb G At
|0 8 18 24
|0 8 18 24
Line 297: Line 339:
|diminished
|diminished
|°
|°
|o
|C Eb Gb
|C Eb Gb
|0 8 16
|0 8 16
Line 304: Line 347:
|diminished 7th
|diminished 7th
|°7
|°7
|
|C Eb Gb Bbb
|C Eb Gb Bbb
|0 8 16 24
|0 8 16 24
Line 310: Line 354:
|-
|-
|minor 7th b5
|minor 7th b5
|m7(b5)
|m7(b5)
|m7(b5)
|C Eb Gb Bb
|C Eb Gb Bb
Line 318: Line 363:
|supermajor b5
|supermajor b5
|SM(b5)
|SM(b5)
|^(b5)
|C Et Gb
|C Et Gb
|0 11 16
|0 11 16
Line 325: Line 371:
|supermajor b5 add t2
|supermajor b5 add t2
|SM(b5)(addt2)
|SM(b5)(addt2)
|^(b5),^2
|C D Et Gb
|C D Et Gb
|0 6 11 16
|0 6 11 16
Line 331: Line 378:
|-
|-
|augmented
|augmented
| +
| +
| +
|C E G#
|C E G#
Line 339: Line 387:
|major d5
|major d5
|(d5)
|(d5)
|(v5)
|C E Gd
|C E Gd
|0 10 17
|0 10 17
Line 346: Line 395:
|minor d5
|minor d5
|m(d5)
|m(d5)
|m(v5)
|C Eb Gd
|C Eb Gd
|0 8 17
|0 8 17
Line 353: Line 403:
|subminor d5
|subminor d5
|sm(d5)
|sm(d5)
|vm(v5)
|C Edb Gd
|C Edb Gd
|0 7 17
|0 7 17
Line 360: Line 411:
|major t5
|major t5
|(t5)
|(t5)
|(^5)
|C E Gt
|C E Gt
|0 10 19
|0 10 19
Line 367: Line 419:
|minor t5
|minor t5
|m(t5)
|m(t5)
|m(^5)
|C Eb Gt
|C Eb Gt
|0 8 19
|0 8 19
Line 374: Line 427:
|subminor t5
|subminor t5
|sm(t5)
|sm(t5)
|vm(^5)
|C Edb Gt
|C Edb Gt
|0 7 19
|0 7 19

Revision as of 04:52, 4 March 2021

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 ^7 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) 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 ° o C Eb Gb 0 8 16 25:30:36
diminished 7th °7 C Eb Gb Bbb 0 8 16 24 not symmetrical unlike in 12edo
minor 7th b5 m7(b5) m7(b5) 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) ^(b5),^2 C D Et Gb 0 6 11 16 7:8:9:10
augmented + + 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
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
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
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