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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 additional interval pairs involving 23. It contains all the wonders of [[94edo]].
{{odd-limit intro|23}} It contains all the wonders of [[94edo]].


* [[1/1]], ([[2/1]])
* [[1/1]]
* '''[[24/23]], [[23/12]]'''
* '''[[24/23]], [[23/12]]'''
* '''[[23/22]], [[44/23]]'''
* '''[[23/22]], [[44/23]]'''
Line 62: Line 62:
* [[24/17]], [[17/12]]
* [[24/17]], [[17/12]]


{| class="wikitable"
{| class="wikitable center-all right-2 left-5"
! Ratio
! Size ([[cents|¢]])
! colspan="2" | [[Color name]]
! Name
|-
|-
! | Ratio
| [[24/23]]
! | Cents Value
| 73.681
! colspan="2" |[[Kite's color notation|Color name]]
| 23u1
! | Name
| twethu unison
| lesser vicesimotertial semitone
|-
|-
| | [[24/23]]
| [[23/22]]
| | 73.681
| 76.956
| | 23u1
| 23o1u2
| | twenty-thu unison
| twetholu 2nd
| | lesser vicesimotertial semitone
| greater vicesimotertial semitone
|-
|-
| | [[23/22]]
| [[23/21]]
| | 76.956
| 157.493
| | 23o1u2
| 23or2
| | twenty-tholu 2nd
| twethoru 2nd
| | greater vicesimotertial semitone
| vicesimotertial neutral second
|-
|-
| | 23/21
| [[26/23]]
| | 157.493
| 212.253
| | 23or2
| 23u3o2
| | twenty-thoru 2nd
| twethutho 2nd
| | vicesimotertial neutral second
| vicesimotertial whole tone
|-
|-
| | 26/23
| [[23/20]]
| | 212.253
| 241.961
| | 23u3o2
| 23og3
| | twenty-thutho 2nd
| twethogu 3rd
| | vicesimotertial whole tone
| vicesimotertial inframinor third
|-
|-
| | 23/20
| [[23/19]]
| | 241.961
| 330.761
| | 23og3
| 23o19u3
| | twenty-thogu 3rd
| twethonu 3rd
| | vicesimotertial subminor third
| vicesimotertial supraminor third
|-
|-
| | 23/19
| [[28/23]]
| | 330.761
| 340.552
| | 23o19u3
| 23uz3
| | twenty-thonu 3rd
| twethuzo 3rd
| | vicesimotertial supraminor third
| vicesimotertial neutral third
|-
|-
| | 28/23
| [[23/18]]
| | 340.552
| 424.364
| | 23uz3
| 23o4
| | twenty-thuzo 3rd
| twetho 4th
| | vicesimotertial neutral third
| vicesimotertial diminished fourth
|-
|-
| | [[23/18]]
| [[30/23]]
| | 424.364
| 459.994
| | 23o4
| 23uy3
| | twenty-tho 4th
| twethuyo 3rd
| | vicesimotertial diminished fourth
| vicesimotertial ultramajor third
|-
|-
| | 30/23
| [[23/17]]
| | 459.994
| 523.319
| | 23uy3
| 23o17u4
| | twenty-thuyo 3rd
| twethosu 4th
| | vicesimotertial ultramajor third
| vicesimotertial acute fourth
|-
|-
| | 23/17
| [[32/23]]
| | 523.319
| 571.726
| | 23o17u4
| 23u4
| | twenty-thosu 4th
| twethu 4th
| | vicesimotertial acute fourth
| vicesimotertial narrow tritone
|-
|-
| | [[32/23]]
| [[23/16]]
| | 571.726
| 628.274
| | 23u4
| 23o5
| | twenty-thu 4th
| twetho 5th
| | vicesimotertial narrow tritone
| vicesimotertial high tritone
|-
|-
| | [[23/16]]
| [[34/23]]
| | 628.274
| 676.681
| | 23o5
| 23u17o5
| | twenty-tho 5th
| twethuso 5th
| | vicesimotertial high tritone
| vicesimotertial grave fifth
|-
|-
| | 34/23
| [[23/15]]
| | 676.681
| 740.006
| | 23u17o5
| 23og6
| | twenty-thuso 5th
| twethogu 6th
| | vicesimotertial grave fifth
| vicesimotertial ultraminor sixth
|-
|-
| | 23/15
| [[36/23]]
| | 740.006
| 775.636
| | 23og6
| 23u5
| | twenty-thogu 6th
| twethu 5th
| | vicesimotertial ultraminor sixth
| vicesimotertial augmented fifth
|-
|-
| | 36/23
| [[23/14]]
| | 775.636
| 859.448
| | 23u5
| 23or6
| | twenty-thu 5th
| twethoru 6th
| | vicesimotertial augmented fifth
| vicesimotertial neutral sixth
|-
|-
| | [[23/14]]
| [[38/23]]
| | 859.448
| 869.239
| | 23or6
| 23u19o6
| | twenty-thoru 6th
| twethuno 6th
| | vicesimotertial neutral sixth
| vicesimotertial submajor sixth
|-
|-
| | 38/23
| [[40/23]]
| | 869.239
| 958.039
| | 23u19o6
| 23uy6
| | twenty-thuno 6th
| twethuyo 6th
| | vicesimotertial submajor sixth
| vicesimotertial ultramajor sixth
|-
|-
| | 40/23
| [[23/13]]
| | 958.039
| 987.747
| | 23uy6
| 23o3u7
| | twenty-thuyo 6th
| twethothu 7th
| | vicesimotertial supermajor sixth
| vicesimotertial minor seventh
|-
|-
| | [[23/13]]
| [[42/23]]
| | 987.747
| 1042.507
| | 23o3u7
| 23uz7
| | twenty-thothu 7th
| twethuzo 7th
| | vicesimotertial minor seventh
| vicesimotertial neutral seventh
|-
|-
| | 42/23
| [[44/23]]
| | 1042.507
| 1123.044
| | 23uz7
| 23u1o7
| | twenty-thuzo 7th
| twethulo 7th
| | vicesimotertial neutral seventh
| vicesimotertial major seventh
|-
|-
| | 44/23
| [[23/12]]
| | 1123.044
| 1126.319
| | 23u1o7
| 23o8
| | twenty-thulo 7th
| twetho octave
| | vicesimotertial major seventh
| vicesimotertial diminished octave
|-
| | 23/12
| | 1126.319
| | 23o8
| | twenty-tho 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]].
== See also ==
* [[23-limit]] ([[prime limit]])


[[Category:Just interval]]
[[Category:23-odd-limit| ]] <!-- main article -->
[[Category:Odd limit]]
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