21-odd-limit: Difference between revisions
Created page with "This is a list of 21-odd-limit intervals. *22/21, 21/11 *21/20, 40/21 *20/19, 19/10 *19/18, 36/19 *18/17, 17/9 *[[17/16]..." Tags: Mobile edit Mobile web edit |
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{{Odd-limit navigation|21}} | |||
{{Odd-limit intro|21}} | |||
*[[22/21]], [[21/11]] | * [[1/1]] | ||
*[[21/20]], [[40/21]] | * '''[[22/21]], [[21/11]]''' | ||
*[[20/19]], [[19/10]] | * '''[[21/20]], [[40/21]]''' | ||
*[[19/18]], [[36/19]] | * [[20/19]], [[19/10]] | ||
*[[18/17]], [[17/9]] | * [[19/18]], [[36/19]] | ||
*[[17/16]], [[32/17]] | * [[18/17]], [[17/9]] | ||
*[[16/15]], [[15/8]] | * [[17/16]], [[32/17]] | ||
*[[15/14]], [[28/15]] | * [[16/15]], [[15/8]] | ||
*[[14/13]], [[13/7]] | * [[15/14]], [[28/15]] | ||
*[[13/12]], [[24/13]] | * [[14/13]], [[13/7]] | ||
*[[12/11]], [[11/6]] | * [[13/12]], [[24/13]] | ||
*[[11/10]], [[20/11]] | * [[12/11]], [[11/6]] | ||
*[[21/19]], [[38/21]] | * [[11/10]], [[20/11]] | ||
*[[10/9]], [[9/5]] | * '''[[21/19]], [[38/21]]''' | ||
*[[19/17]], [[34/19]] | * [[10/9]], [[9/5]] | ||
*[[9/8]], [[16/9]] | * [[19/17]], [[34/19]] | ||
*[[17/15]], [[30/17]] | * [[9/8]], [[16/9]] | ||
*[[8/7]], [[7/4]] | * [[17/15]], [[30/17]] | ||
*[[15/13]], [[26/15]] | * [[8/7]], [[7/4]] | ||
*[[22/19]], [[19/11]] | * [[15/13]], [[26/15]] | ||
*[[7/6]], [[12/7]] | * [[22/19]], [[19/11]] | ||
*[[20/17]], [[17/10]] | * [[7/6]], [[12/7]] | ||
*[[13/11]], [[22/13]] | * [[20/17]], [[17/10]] | ||
*[[19/16]], [[32/19]] | * [[13/11]], [[22/13]] | ||
*[[6/5]], [[5/3]] | * [[19/16]], [[32/19]] | ||
*[[17/14]], [[28/17]] | * [[6/5]], [[5/3]] | ||
*[[11/9]], [[18/11]] | * [[17/14]], [[28/17]] | ||
*[[16/13]], [[13/8]] | * [[11/9]], [[18/11]] | ||
*[[21/17]], [[34/21]] | * [[16/13]], [[13/8]] | ||
*[[26/21]], [[21/13]] | * '''[[21/17]], [[34/21]]''' | ||
*[[5/4]], [[8/5]] | * '''[[26/21]], [[21/13]]''' | ||
*[[24/19]], [[19/12]] | * [[5/4]], [[8/5]] | ||
*[[19/15]], [[30/19]] | * [[24/19]], [[19/12]] | ||
*[[14/11]], [[11/7]] | * [[19/15]], [[30/19]] | ||
*[[9/7]], [[14/9]] | * [[14/11]], [[11/7]] | ||
*[[22/17]], [[17/11]] | * [[9/7]], [[14/9]] | ||
*[[13/10]], [[20/13]] | * [[22/17]], [[17/11]] | ||
*[[17/13]], [[26/17]] | * [[13/10]], [[20/13]] | ||
*[[21/16]], [[32/21]] | * [[17/13]], [[26/17]] | ||
*[[4/3]], [[3/2]] | * '''[[21/16]], [[32/21]]''' | ||
*[[19/14]], [[28/19]] | * [[4/3]], [[3/2]] | ||
*[[15/11]], [[22/15]] | * [[19/14]], [[28/19]] | ||
*[[26/19]], [[19/13]] | * [[15/11]], [[22/15]] | ||
*[[11/8]], [[16/11]] | * [[26/19]], [[19/13]] | ||
*[[18/13]], [[13/9]] | * [[11/8]], [[16/11]] | ||
*[[7/5]], [[10/7]] | * [[18/13]], [[13/9]] | ||
*[[24/17]], [[17/12]] | * [[7/5]], [[10/7]] | ||
* [[24/17]], [[17/12]] | |||
[[Category: | {| class="wikitable center-all right-2 left-5" | ||
! Ratio | |||
! Size ([[cents|¢]]) | |||
! colspan="2" | [[Color name]] | |||
! Name(s) | |||
|- | |||
| [[22/21]] | |||
| 80.537 | |||
| 1or1 | |||
| loru unison | |||
| undecimal chromatic semitone | |||
|- | |||
| [[21/20]] | |||
| 84.467 | |||
| zg2 | |||
| zogu 2nd | |||
| septimal chromatic semitone / greater septimal chroma | |||
|- | |||
| [[21/19]] | |||
| 173.268 | |||
| 19uz2 | |||
| nuzo 2nd | |||
| small undevicesimal whole tone | |||
|- | |||
| [[21/17]] | |||
| 365.825 | |||
| 17uz3 | |||
| suzo 3rd | |||
| septendecimal submajor third | |||
|- | |||
| [[26/21]] | |||
| 369.747 | |||
| 3or3 | |||
| thoru 3rd | |||
| tridecimal submajor third | |||
|- | |||
| [[21/16]] | |||
| 470.781 | |||
| z4 | |||
| zo 4th | |||
| septimal sub-fourth | |||
|- | |||
| [[32/21]] | |||
| 729.219 | |||
| r5 | |||
| ru 5th | |||
| septimal super-fifth | |||
|- | |||
| [[21/13]] | |||
| 830.253 | |||
| 3uz6 | |||
| thuzo 6th | |||
| tridecimal supraminor sixth | |||
|- | |||
| [[34/21]] | |||
| 834.175 | |||
| 17or6 | |||
| soru 6th | |||
| septendecimal supraminor sixth | |||
|- | |||
| [[38/21]] | |||
| 1026.732 | |||
| 19or7 | |||
| noru 7th | |||
| large undevicesimal minor seventh | |||
|- | |||
| [[40/21]] | |||
| 1115.533 | |||
| ry7 | |||
| ruyo 7th | |||
| large septimal major seventh | |||
|- | |||
| [[21/11]] | |||
| 1119.463 | |||
| 1uz8 | |||
| luzo octave | |||
| undecimal diminished octave | |||
|} | |||
The smallest [[equal division of the octave]] which is consistent in the 21-odd-limit is [[94edo]] (by virtue of it being consistent through the 23-odd-limit). | |||
The one which is distinctly consistent in the same is [[282edo]] (by virtue of it being distinctly consistent through the 23-odd-limit as well). | |||
[[Category:21-odd-limit| ]] <!-- main article --> | |||