Xenharmonic Wiki

23-odd-limit: Difference between revisions

← Older edit
VisualWikitext
No edit summary
Contribution (talk | contribs)
2,880 edits
No edit summary
 
(23 intermediate revisions by 8 users not shown)
Line 1: Line 1:
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 -->
Retrieved from "https://en.xen.wiki/w/23-odd-limit"