379edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|379}} It is the 75th prime edo. == Theory == 379 tempers out 4096000/4084101, 5120/5103 and 2401/2400 in the 7-limit; 2097152/2096325, 1..." |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|379}} | {{EDO intro|379}} | ||
== Theory == | ==Theory== | ||
379 tempers out 4096000/4084101, [[5120/5103]] and [[2401/2400]] in the 7-limit; 2097152/2096325, 1953125/1951488, [[6250/6237]], 42875/42768, 5767168/5764801, 180224/180075, [[5632/5625]], 537109375/536870912, 422576/421875, 9453125/9437184, 166375/165888, 67110351/67108864, 3294225/3294172, 43923/43904, 102487/102400, 20614528/20588575, 644204/643125 and 781258401/781250000 in the 11-limit. It provides the optimal patent val for the [[subneutral]] temperament. | 379 tempers out 4096000/4084101, [[5120/5103]] and [[2401/2400]] in the 7-limit; 2097152/2096325, 1953125/1951488, [[6250/6237]], 42875/42768, 5767168/5764801, 180224/180075, [[5632/5625]], 537109375/536870912, 422576/421875, 9453125/9437184, 166375/165888, 67110351/67108864, 3294225/3294172, 43923/43904, 102487/102400, 20614528/20588575, 644204/643125 and 781258401/781250000 in the 11-limit. It provides the optimal patent val for the [[subneutral]] temperament. | ||
379edo is the 75th [[prime edo]]. | |||
{{Harmonics in equal|379}} | {{Harmonics in equal|379}} | ||
==Regular temperament properties== | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |[[Subgroup]] | |||
! rowspan="2" |[[Comma list|Comma List]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | |||
! colspan="2" |Tuning Error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{monzo| 601 -379}} | |||
|{{val| 379 601}} | |||
| -0.2989 | |||
|0.2988 | |||
|9.43 | |||
|- | |||
|2.3.5 | |||
|{{monzo| 35 -25 2}}, {{monzo| 38 -2 -15}} | |||
|{{val| 379 601 880}} | |||
| -0.1944 | |||
|0.2852 | |||
|9.01 | |||
|- | |||
|2.3.5.7 | |||
|5120/5103, 2401/2400, {{monzo| -23 -11 15 2}} | |||
|{{val| 379 601 880 1064}} | |||
| -0.1493 | |||
|0.2591 | |||
|8.18 | |||
|- | |||
|2.3.5.7.11 | |||
|5120/5103, 5632/5625, 2401/2400, 166375/165888 | |||
|{{val| 379 601 880 1064 1311}} | |||
| -0.0967 | |||
|0.2545 | |||
|8.04 | |||
|- | |||
|2.3.5.7.11.13 | |||
|325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655 | |||
|{{val| 379 601 880 1064 1311 1402}} | |||
| -0.014 | |||
|0.2969 | |||
|9.38 | |||
|} | |||
==Scales== | ==Scales== | ||
* [[Subneutral31]] | *[[Subneutral31]] | ||