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{{odd-limit navigation}}
{{odd-limit navigation}}
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]]
{{odd-limit intro|23}} It contains all the wonders of [[94edo]].


* [[1/1]]
* [[1/1]]
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
|-
|-
| 23/21
| [[23/21]]
| 157.493
| 157.493
| 23or2
| 23or2
| twenty-thoru 2nd
| twethoru 2nd
| vicesimotertial neutral second
| vicesimotertial neutral second
|-
|-
| 26/23
| [[26/23]]
| 212.253
| 212.253
| 23u3o2
| 23u3o2
| twenty-thutho 2nd
| twethutho 2nd
| vicesimotertial whole tone
| vicesimotertial whole tone
|-
|-
| 23/20
| [[23/20]]
| 241.961
| 241.961
| 23og3
| 23og3
| twenty-thogu 3rd
| twethogu 3rd
| vicesimotertial subminor third
| vicesimotertial inframinor third
|-
|-
| 23/19
| [[23/19]]
| 330.761
| 330.761
| 23o19u3
| 23o19u3
| twenty-thonu 3rd
| twethonu 3rd
| vicesimotertial supraminor third
| vicesimotertial supraminor third
|-
|-
| 28/23
| [[28/23]]
| 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
|-
|-
| 30/23
| [[30/23]]
| 459.994
| 459.994
| 23uy3
| 23uy3
| twenty-thuyo 3rd
| twethuyo 3rd
| vicesimotertial ultramajor third
| vicesimotertial ultramajor third
|-
|-
| 23/17
| [[23/17]]
| 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
|-
|-
| 34/23
| [[34/23]]
| 676.681
| 676.681
| 23u17o5
| 23u17o5
| twenty-thuso 5th
| twethuso 5th
| vicesimotertial grave fifth
| vicesimotertial grave fifth
|-
|-
| 23/15
| [[23/15]]
| 740.006
| 740.006
| 23og6
| 23og6
| twenty-thogu 6th
| twethogu 6th
| vicesimotertial ultraminor sixth
| vicesimotertial ultraminor sixth
|-
|-
| 36/23
| [[36/23]]
| 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
|-
|-
| 38/23
| [[38/23]]
| 869.239
| 869.239
| 23u19o6
| 23u19o6
| twenty-thuno 6th
| twethuno 6th
| vicesimotertial submajor sixth
| vicesimotertial submajor sixth
|-
|-
| 40/23
| [[40/23]]
| 958.039
| 958.039
| 23uy6
| 23uy6
| twenty-thuyo 6th
| twethuyo 6th
| vicesimotertial supermajor sixth
| vicesimotertial ultramajor sixth
|-
|-
| [[23/13]]
| [[23/13]]
| 987.747
| 987.747
| 23o3u7
| 23o3u7
| twenty-thothu 7th
| twethothu 7th
| vicesimotertial minor seventh
| vicesimotertial minor seventh
|-
|-
| 42/23
| [[42/23]]
| 1042.507
| 1042.507
| 23uz7
| 23uz7
| twenty-thuzo 7th
| twethuzo 7th
| vicesimotertial neutral seventh
| vicesimotertial neutral seventh
|-
|-
| 44/23
| [[44/23]]
| 1123.044
| 1123.044
| 23u1o7
| 23u1o7
| twenty-thulo 7th
| twethulo 7th
| vicesimotertial major seventh
| vicesimotertial major seventh
|-
|-
| 23/12
| [[23/12]]
| 1126.319
| 1126.319
| 23o8
| 23o8
| twenty-tho octave
| twetho octave
| vicesimotertial diminished octave
| vicesimotertial diminished octave
|}
|}
[[94edo]] is the smallest [[equal division of the octave]] to be consistent in the 23-odd limit; the smallest to be distinctly consistent in the same is [[282edo]].


[[Category:Just interval]]
== See also ==
[[Category:Odd limit]]
* [[23-limit]] ([[prime limit]])
 
[[Category:23-odd-limit| ]] <!-- main article -->
Retrieved from "https://en.xen.wiki/w/23-odd-limit"