19-limit: Difference between revisions
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[[EDO]]s which provides an excellent tuning for 19-limit intervals are: 80, 94, 111, 121, 217, 270, 282, 311, 320, 364, 388, 400, 422, 436, 460, 525, 581, 597, 624, 643, 653, 692, 718, 742, 771, 860, 867, 882, 908, 925, 935, 954, and 997 among others. | [[EDO]]s which provides an excellent tuning for 19-limit intervals are: 80, 94, 111, 121, 217, 270, 282, 311, 320, 364, 388, 400, 422, 436, 460, 525, 581, 597, 624, 643, 653, 692, 718, 742, 771, 860, 867, 882, 908, 925, 935, 954, and 997 among others. | ||
== Intervals == | |||
Here are all the 21-odd-limit intervals of 19: | |||
{| class="wikitable" | |||
!Ratio | |||
!Cents Value | |||
! colspan="2" |Color Name | |||
!Interval Name | |||
|- | |||
|20/19 | |||
|88.801 | |||
|19uy1 | |||
|nuyo 1son | |||
|small undevicesimal semitone | |||
|- | |||
|19/18 | |||
|93.603 | |||
|19o2 | |||
|ino 2nd | |||
|large undevicesimal semitone | |||
|- | |||
|21/19 | |||
|173.268 | |||
|19uz2 | |||
|nuzo 2nd | |||
|small undevicesimal whole tone | |||
|- | |||
|19/17 | |||
|192.558 | |||
|19o17u2 | |||
|nosu 2nd | |||
|large undevicesimal whole tone, quasi-meantone | |||
|- | |||
|22/19 | |||
|253.805 | |||
|19u1o2 | |||
|nolu 2nd | |||
|undevicesimal second-third | |||
|- | |||
|19/16 | |||
|297.513 | |||
|19o3 | |||
|ino 3rd | |||
|undevicesimal minor third | |||
|- | |||
|24/19 | |||
|404.442 | |||
|19u3 | |||
|inu 3rd | |||
|small undevicesimal major third | |||
|- | |||
|19/15 | |||
|409.244 | |||
|19og4 | |||
|nogu 4th | |||
|large undevicesimal major third | |||
|- | |||
|19/14 | |||
|528.687 | |||
|19or4 | |||
|noru 4th | |||
|undevicesimal acute fourth | |||
|- | |||
|26/19 | |||
|543.015 | |||
|19u3o5 | |||
|nutho 5th | |||
|undevicesimal super fourth | |||
|- | |||
|19/13 | |||
|656.985 | |||
|19o3u4 | |||
|nothu 4th | |||
|undevicesimal sub fifth | |||
|- | |||
|28/19 | |||
|671.313 | |||
|19uz5 | |||
|nuzo 5th | |||
|undevicesimal grave fifth | |||
|- | |||
|30/19 | |||
|790.756 | |||
|19uy5 | |||
|nuyo 5th | |||
|small undevicesimal minor sixth | |||
|- | |||
|19/12 | |||
|795.558 | |||
|19o6 | |||
|ino 6th | |||
|large undevicesimal minor sixth | |||
|- | |||
|32/19 | |||
|902.487 | |||
|19u6 | |||
|inu 6th | |||
|undevicesimal major sixth | |||
|- | |||
|19/11 | |||
|946.195 | |||
|19o1u7 | |||
|nolu 7th | |||
|undevicesimal sixth-seventh | |||
|- | |||
|34/19 | |||
|1007.442 | |||
|19u17o7 | |||
|nuso 7th | |||
|small undevicesimal minor seventh | |||
|- | |||
|38/21 | |||
|1026.732 | |||
|19or7 | |||
|noru 7th | |||
|large undevicesimal minor seventh | |||
|- | |||
|36/19 | |||
|1106.397 | |||
|19u7 | |||
|inu 7th | |||
|small undevicesimal major seventh | |||
|- | |||
|19/10 | |||
|1111.199 | |||
|19og8 | |||
|nogu 8ve | |||
|large undevicesimal major seventh | |||
|} | |||
== See Also == | |||
* [[Harmonic_Limit|Harmonic Limit]] | |||
* [[19-odd-limit]] | |||
[[Category:19-limit]] | [[Category:19-limit]] | ||
[[Category:limit]] | [[Category:limit]] | ||
[[Category:prime_limit]] | [[Category:prime_limit]] | ||
[[Category:rank_8]] | [[Category:rank_8]] | ||