23-odd-limit: Difference between revisions

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Line 71: Line 71:
| 73.681
| 73.681
| 23u1
| 23u1
| twenty-thu unison
| twethu unison
| lesser vicesimotertial semitone
| lesser vicesimotertial semitone
|-
|-
Line 77: Line 77:
| 76.956
| 76.956
| 23o1u2
| 23o1u2
| twenty-tholu 2nd
| twetholu 2nd
| greater vicesimotertial semitone
| greater vicesimotertial semitone
|-
|-
Line 83: Line 83:
| 157.493
| 157.493
| 23or2
| 23or2
| twenty-thoru 2nd
| twethoru 2nd
| vicesimotertial neutral second
| vicesimotertial neutral second
|-
|-
Line 89: Line 89:
| 212.253
| 212.253
| 23u3o2
| 23u3o2
| twenty-thutho 2nd
| twethutho 2nd
| vicesimotertial whole tone
| vicesimotertial whole tone
|-
|-
Line 95: Line 95:
| 241.961
| 241.961
| 23og3
| 23og3
| twenty-thogu 3rd
| twethogu 3rd
| vicesimotertial subminor third
| vicesimotertial subminor third
|-
|-
Line 101: Line 101:
| 330.761
| 330.761
| 23o19u3
| 23o19u3
| twenty-thonu 3rd
| twethonu 3rd
| vicesimotertial supraminor third
| vicesimotertial supraminor third
|-
|-
Line 107: Line 107:
| 340.552
| 340.552
| 23uz3
| 23uz3
| twenty-thuzo 3rd
| twethuzo 3rd
| vicesimotertial neutral third
| vicesimotertial neutral third
|-
|-
Line 113: Line 113:
| 424.364
| 424.364
| 23o4
| 23o4
| twenty-tho 4th
| twetho 4th
| vicesimotertial diminished fourth
| vicesimotertial diminished fourth
|-
|-
Line 119: Line 119:
| 459.994
| 459.994
| 23uy3
| 23uy3
| twenty-thuyo 3rd
| twethuyo 3rd
| vicesimotertial ultramajor third
| vicesimotertial ultramajor third
|-
|-
Line 125: Line 125:
| 523.319
| 523.319
| 23o17u4
| 23o17u4
| twenty-thosu 4th
| twethosu 4th
| vicesimotertial acute fourth
| vicesimotertial acute fourth
|-
|-
Line 131: Line 131:
| 571.726
| 571.726
| 23u4
| 23u4
| twenty-thu 4th
| twethu 4th
| vicesimotertial narrow tritone
| vicesimotertial narrow tritone
|-
|-
Line 137: Line 137:
| 628.274
| 628.274
| 23o5
| 23o5
| twenty-tho 5th
| twetho 5th
| vicesimotertial high tritone
| vicesimotertial high tritone
|-
|-
Line 143: Line 143:
| 676.681
| 676.681
| 23u17o5
| 23u17o5
| twenty-thuso 5th
| twethuso 5th
| vicesimotertial grave fifth
| vicesimotertial grave fifth
|-
|-
Line 149: Line 149:
| 740.006
| 740.006
| 23og6
| 23og6
| twenty-thogu 6th
| twethogu 6th
| vicesimotertial ultraminor sixth
| vicesimotertial ultraminor sixth
|-
|-
Line 155: Line 155:
| 775.636
| 775.636
| 23u5
| 23u5
| twenty-thu 5th
| twethu 5th
| vicesimotertial augmented fifth
| vicesimotertial augmented fifth
|-
|-
Line 161: Line 161:
| 859.448
| 859.448
| 23or6
| 23or6
| twenty-thoru 6th
| twethoru 6th
| vicesimotertial neutral sixth
| vicesimotertial neutral sixth
|-
|-
Line 167: Line 167:
| 869.239
| 869.239
| 23u19o6
| 23u19o6
| twenty-thuno 6th
| twethuno 6th
| vicesimotertial submajor sixth
| vicesimotertial submajor sixth
|-
|-
Line 173: Line 173:
| 958.039
| 958.039
| 23uy6
| 23uy6
| twenty-thuyo 6th
| twethuyo 6th
| vicesimotertial supermajor sixth
| vicesimotertial supermajor sixth
|-
|-
Line 179: Line 179:
| 987.747
| 987.747
| 23o3u7
| 23o3u7
| twenty-thothu 7th
| twethothu 7th
| vicesimotertial minor seventh
| vicesimotertial minor seventh
|-
|-
Line 185: Line 185:
| 1042.507
| 1042.507
| 23uz7
| 23uz7
| twenty-thuzo 7th
| twethuzo 7th
| vicesimotertial neutral seventh
| vicesimotertial neutral seventh
|-
|-
Line 191: Line 191:
| 1123.044
| 1123.044
| 23u1o7
| 23u1o7
| twenty-thulo 7th
| twethulo 7th
| vicesimotertial major seventh
| vicesimotertial major seventh
|-
|-
Line 197: Line 197:
| 1126.319
| 1126.319
| 23o8
| 23o8
| twenty-tho octave
| twetho octave
| vicesimotertial diminished octave
| vicesimotertial diminished octave
|}
|}

Revision as of 22:55, 13 December 2020

Odd limits:

This is a list of 23-odd-limit intervals. To 21-odd-limit, it adds 11 interval pairs involving 23. It contains all the wonders of 94edo. See also 23-limit

Ratio Size (¢) Color name Name
24/23 73.681 23u1 twethu unison lesser vicesimotertial semitone
23/22 76.956 23o1u2 twetholu 2nd greater vicesimotertial semitone
23/21 157.493 23or2 twethoru 2nd vicesimotertial neutral second
26/23 212.253 23u3o2 twethutho 2nd vicesimotertial whole tone
23/20 241.961 23og3 twethogu 3rd vicesimotertial subminor third
23/19 330.761 23o19u3 twethonu 3rd vicesimotertial supraminor third
28/23 340.552 23uz3 twethuzo 3rd vicesimotertial neutral third
23/18 424.364 23o4 twetho 4th vicesimotertial diminished fourth
30/23 459.994 23uy3 twethuyo 3rd vicesimotertial ultramajor third
23/17 523.319 23o17u4 twethosu 4th vicesimotertial acute fourth
32/23 571.726 23u4 twethu 4th vicesimotertial narrow tritone
23/16 628.274 23o5 twetho 5th vicesimotertial high tritone
34/23 676.681 23u17o5 twethuso 5th vicesimotertial grave fifth
23/15 740.006 23og6 twethogu 6th vicesimotertial ultraminor sixth
36/23 775.636 23u5 twethu 5th vicesimotertial augmented fifth
23/14 859.448 23or6 twethoru 6th vicesimotertial neutral sixth
38/23 869.239 23u19o6 twethuno 6th vicesimotertial submajor sixth
40/23 958.039 23uy6 twethuyo 6th vicesimotertial supermajor sixth
23/13 987.747 23o3u7 twethothu 7th vicesimotertial minor seventh
42/23 1042.507 23uz7 twethuzo 7th vicesimotertial neutral seventh
44/23 1123.044 23u1o7 twethulo 7th vicesimotertial major seventh
23/12 1126.319 23o8 twetho octave vicesimotertial diminished octave
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