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-This is a list of [[23-odd-limit]] intervals. It contains all the wonders of [[94edo]].
+{{odd-limit navigation}}
+{{odd-limit intro|23}} It contains all the wonders of [[94edo]].
-<ul><li>[[18/17]], [[17/9]]</li><li>[[17/16]], [[32/17]]</li><li>[[16/15]], [[15/8]]</li><li>[[15/14]], [[28/15]]</li><li>[[14/13]], [[13/7]]</li><li>[[13/12]], [[24/13]]</li><li>[[12/11]], [[11/6]]</li><li>[[11/10]], [[20/11]]</li><li>[[10/9]], [[9/5]]</li><li>[[9/8]], [[16/9]]</li><li>[[17/15]], [[30/17]]</li><li>[[8/7]], [[7/4]]</li><li>[[15/13]], [[26/15]]</li><li>[[7/6]], [[12/7]]</li><li>[[20/17]], [[17/10]]</li><li>[[13/11]], [[22/13]]</li><li>[[6/5]], [[5/3]]</li><li>[[17/14]], [[28/17]]</li><li>[[11/9]], [[18/11]]</li><li>[[16/13]], [[13/8]]</li><li>[[5/4]], [[8/5]]</li><li>[[14/11]], [[11/7]]</li><li>[[9/7]], [[14/9]]</li><li>[[22/17]], [[17/11]]</li><li>[[13/10]], [[20/13]]</li><li>[[17/13]], [[26/17]]</li><li>[[4/3]], [[3/2]]</li><li>[[15/11]], [[22/15]]</li><li>[[11/8]], [[16/11]]</li><li>[[18/13]], [[13/9]]</li><li>[[7/5]], [[10/7]]</li><li>[[24/17]], [[17/12]]</li></ul>
+* [[1/1]]
+* '''[[24/23]], [[23/12]]'''
+* '''[[23/22]], [[44/23]]'''
+* [[22/21]], [[21/11]]
+* [[21/20]], [[40/21]]
+* [[20/19]], [[19/10]]
+* [[19/18]], [[36/19]]
+* [[18/17]], [[17/9]]
+* [[17/16]], [[32/17]]
+* [[16/15]], [[15/8]]
+* [[15/14]], [[28/15]]
+* [[14/13]], [[13/7]]
+* [[13/12]], [[24/13]]
+* [[12/11]], [[11/6]]
+* '''[[23/21]], [[42/23]]'''
+* [[11/10]], [[20/11]]
+* [[21/19]], [[38/21]]
+* [[10/9]], [[9/5]]
+* [[19/17]], [[34/19]]
+* [[9/8]], [[16/9]]
+* '''[[26/23]], [[23/13]]'''
+* [[17/15]], [[30/17]]
+* [[8/7]], [[7/4]]
+* '''[[23/20]], [[40/23]]'''
+* [[15/13]], [[26/15]]
+* [[22/19]], [[19/11]]
+* [[7/6]], [[12/7]]
+* [[20/17]], [[17/10]]
+* [[13/11]], [[22/13]]
+* [[19/16]], [[32/19]]
+* [[6/5]], [[5/3]]
+* '''[[23/19]], [[38/23]]'''
+* [[17/14]], [[28/17]]
+* '''[[28/23]], [[23/14]]'''
+* [[11/9]], [[18/11]]
+* [[16/13]], [[13/8]]
+* [[21/17]], [[34/21]]
+* [[26/21]], [[21/13]]
+* [[5/4]], [[8/5]]
+* [[24/19]], [[19/12]]
+* [[19/15]], [[30/19]]
+* [[14/11]], [[11/7]]
+* '''[[23/18]], [[36/23]]'''
+* [[9/7]], [[14/9]]
+* [[22/17]], [[17/11]]
+* [[13/10]], [[20/13]]
+* '''[[30/23]], [[23/15]]'''
+* [[17/13]], [[26/17]]
+* [[21/16]], [[32/21]]
+* [[4/3]], [[3/2]]
+* '''[[23/17]], [[34/23]]'''
+* [[19/14]], [[28/19]]
+* [[15/11]], [[22/15]]
+* [[26/19]], [[19/13]]
+* [[11/8]], [[16/11]]
+* [[18/13]], [[13/9]]
+* '''[[32/23]], [[23/16]]'''
+* [[7/5]], [[10/7]]
+* [[24/17]], [[17/12]]
-todo:add 19, 21 and 23 there.
+{| class="wikitable center-all right-2 left-5"
+! Ratio
+! Size ([[cents|¢]])
+! colspan="2" | [[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 inframinor 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 ultramajor 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
+|}
+[[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 ==
+* [[23-limit]] ([[prime limit]])
+[[Category:23-odd-limit| ]] <!-- main article -->

23-odd-limit: Difference between revisions