25-odd-limit: Difference between revisions
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{{Odd-limit navigation|25}} | |||
{{Odd-limit intro|25}} | |||
* '''[[26/25]] | * [[1/1]] | ||
* '''[[25/24]] | * '''[[26/25]], [[25/13]]''' | ||
* '''[[25/24]], [[48/25]]''' | |||
* [[24/23]], [[23/12]] | * [[24/23]], [[23/12]] | ||
* [[23/22]], [[44/23]] | * [[23/22]], [[44/23]] | ||
| Line 15: | Line 17: | ||
* [[14/13]], [[13/7]] | * [[14/13]], [[13/7]] | ||
* [[13/12]], [[24/13]] | * [[13/12]], [[24/13]] | ||
* '''[[25/23]] | * '''[[25/23]], [[46/25]]''' | ||
* [[12/11]], [[11/6]] | * [[12/11]], [[11/6]] | ||
* [[23/21]], [[42/23]] | * [[23/21]], [[42/23]] | ||
| Line 22: | Line 24: | ||
* [[10/9]], [[9/5]] | * [[10/9]], [[9/5]] | ||
* [[19/17]], [[34/19]] | * [[19/17]], [[34/19]] | ||
* '''[[28/25]] | * '''[[28/25]], [[25/14]]''' | ||
* [[9/8]], [[16/9]] | * [[9/8]], [[16/9]] | ||
* [[26/23]], [[23/13]] | * [[26/23]], [[23/13]] | ||
* [[17/15]], [[30/17]] | * [[17/15]], [[30/17]] | ||
* '''[[25/22]] | * '''[[25/22]], [[44/25]]''' | ||
* [[8/7]], [[7/4]] | * [[8/7]], [[7/4]] | ||
* [[23/20]], [[40/23]] | * [[23/20]], [[40/23]] | ||
| Line 35: | Line 37: | ||
* [[13/11]], [[22/13]] | * [[13/11]], [[22/13]] | ||
* [[19/16]], [[32/19]] | * [[19/16]], [[32/19]] | ||
* '''[[25/21]] | * '''[[25/21]], [[42/25]]''' | ||
* [[6/5]], [[5/3]] | * [[6/5]], [[5/3]] | ||
* [[23/19]], [[38/23]] | * [[23/19]], [[38/23]] | ||
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* [[14/11]], [[11/7]] | * [[14/11]], [[11/7]] | ||
* [[23/18]], [[36/23]] | * [[23/18]], [[36/23]] | ||
* '''[[32/25]] | * '''[[32/25]], [[25/16]]''' | ||
* [[9/7]], [[14/9]] | * [[9/7]], [[14/9]] | ||
* [[22/17]], [[17/11]] | * [[22/17]], [[17/11]] | ||
| Line 56: | Line 58: | ||
* [[17/13]], [[26/17]] | * [[17/13]], [[26/17]] | ||
* [[21/16]], [[32/21]] | * [[21/16]], [[32/21]] | ||
* '''[[25/19]] | * '''[[25/19]], [[38/25]]''' | ||
* [[4/3]], [[3/2]] | * [[4/3]], [[3/2]] | ||
* [[23/17]], [[34/23]] | * [[23/17]], [[34/23]] | ||
* [[19/14]], [[28/19]] | * [[19/14]], [[28/19]] | ||
* '''[[34/25]] | * '''[[34/25]], [[25/17]]''' | ||
* [[15/11]], [[22/15]] | * [[15/11]], [[22/15]] | ||
* [[26/19]], [[19/13]] | * [[26/19]], [[19/13]] | ||
* [[11/8]], [[16/11]] | * [[11/8]], [[16/11]] | ||
* [[18/13]], [[13/9]] | * [[18/13]], [[13/9]] | ||
* '''[[25/18]] | * '''[[25/18]], [[36/25]]''' | ||
* [[32/23]], [[23/16]] | * [[32/23]], [[23/16]] | ||
* [[7/5]], [[10/7]] | * [[7/5]], [[10/7]] | ||
* [[24/17]], [[17/12]] | * [[24/17]], [[17/12]] | ||
[[ | {| class="wikitable center-all right-2 left-5" | ||
[[Category: | ! Ratio | ||
! Size ([[cents|¢]]) | |||
! colspan="2" | [[Color name]] | |||
! Name | |||
|- | |||
| [[26/25]] | |||
| 67.900 | |||
| 3ogg | |||
| thogugu 2nd | |||
| greater tridecimal chroma <br>large tridecimal third-tone | |||
|- | |||
| [[25/24]] | |||
| 70.672 | |||
| yy1 | |||
| yoyo unison | |||
| classic chromatic semitone | |||
|- | |||
| [[25/23]] | |||
| 144.353 | |||
| 23uyy2 | |||
| twethuyoyo 2nd | |||
| small vicesimotertial neutral second | |||
|- | |||
| [[28/25]] | |||
| 196.198 | |||
| zgg3 | |||
| zogugu 3rd | |||
| septimal middle major second <br>sepimal middle whole tone | |||
|- | |||
| [[25/22]] | |||
| 221.309 | |||
| 1uyy2 | |||
| luyoyo 2nd | |||
| undecimal acute major second <br>undecimal acute whole tone | |||
|- | |||
| [[25/21]] | |||
| 301.847 | |||
| ryy2 | |||
| ruyoyo 2nd | |||
| septimal quasi-tempered minor third | |||
|- | |||
| [[32/25]] | |||
| 427.373 | |||
| gg4 | |||
| gugu 4th | |||
| classic diminished fourth | |||
|- | |||
| [[25/19]] | |||
| 475.114 | |||
| 19uyy3 | |||
| nuyoyo 3rd | |||
| undevicesimal augmented third <br>undevicesimal grave fourth | |||
|- | |||
| [[34/25]] | |||
| 532.328 | |||
| 17ogg5 | |||
| sogugu 5th | |||
| septendecimal acute fourth | |||
|- | |||
| [[25/18]] | |||
| 568.717 | |||
| yy4 | |||
| yoyo 4th | |||
| classic narrow tritone <br>classic augmented fourth | |||
|- | |||
| [[36/25]] | |||
| 631.283 | |||
| gg5 | |||
| gugu 5th | |||
| classic high tritone <br>classic diminished fifth | |||
|- | |||
| [[25/17]] | |||
| 667.672 | |||
| 17uyy4 | |||
| suyoyo 4th | |||
| septendecimal grave fifth | |||
|- | |||
| [[38/25]] | |||
| 724.886 | |||
| 19ogg6 | |||
| nogugu 6th | |||
| undevicesimal diminished sixth <br>undevicesimal acute fifth | |||
|- | |||
| [[25/16]] | |||
| 772.627 | |||
| yy5 | |||
| yoyo 5th | |||
| classic augmented fifth | |||
|- | |||
| [[42/25]] | |||
| 898.153 | |||
| zgg7 | |||
| zogugu 7th | |||
| septimal quasi-tempered major sixth | |||
|- | |||
| [[44/25]] | |||
| 978.691 | |||
| 1ogg7 | |||
| logugu 7th | |||
| undecimal grave minor seventh | |||
|- | |||
| [[25/14]] | |||
| 1003.802 | |||
| ryy6 | |||
| ruyoyo 6th | |||
| septimal middle minor seventh | |||
|- | |||
| [[46/25]] | |||
| 1055.647 | |||
| 23ogg7 | |||
| twethogugu 7th | |||
| large vicesimotertial neutral seventh | |||
|- | |||
| [[48/25]] | |||
| 1129.328 | |||
| gg8 | |||
| gugu octave | |||
| classic diminished octave | |||
|- | |||
| [[25/13]] | |||
| 1132.100 | |||
| 3uyy7 | |||
| thuyoyo 7th | |||
| lesser tridecimal diminished octave | |||
|} | |||
The smallest [[equal division of the octave]] that comes closest to being [[consistent]] in the 25-odd-limit is [[217edo]] (misses [[23/14]], [[23/21]], [[28/23]], [[42/23]]). | |||
The one which is truly consistent is [[282edo]] (by virtue of it being consistent through the 29-odd-limit) | |||
The one which is distinctly consistent in the same is [[388edo]] (by virtue of it being distinctly consistent through the 27-odd-limit). | |||
[[Category:25-odd-limit| ]] <!-- main article --> | |||