404edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|404}} | {{EDO intro|404}} | ||
==Theory== | ==Theory== | ||
404et tempers out [[703125/702464]], 1959552/1953125, 65625/65536, [[2401/2400]], [[2100875/2097152]] and 201768035/201326592 in the 7-limit and [[4000/3993]], [[540/539]], [[441/440]], [[8019/8000]], [[9801/9800]] and 160083/160000 in the 11-limit. | |||
{{Harmonics in equal|404}} | {{Harmonics in equal|404}} | ||
==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| -160 101}} | |||
|{{val| 404 640}} | |||
| +0.3044 | |||
| 0.3045 | |||
| 10.25 | |||
|- | |||
|2.3.5 | |||
|{{monzo| -13 17 -6}}, {{monzo| 23 6 -14}} | |||
|{{val| 404 640 938}} | |||
| +0.2280 | |||
| 0.2710 | |||
| 9.12 | |||
|- | |||
|2.3.5.7 | |||
|2401/2400, 19683/19600, 65625/65536 | |||
|{{val| 404 640 938 1134}} | |||
| +0.2164 | |||
| 0.2356 | |||
| 7.93 | |||
|- | |||
|2.3.5.7.11 | |||
|441/440, 540/539, 8019/8000, 65625/65536 | |||
|{{val| 404 640 938 1134 1398}} | |||
| +0.1061 | |||
| 0.3049 | |||
| 10.26 | |||
|- | |||
|2.3.5.7.11.13 | |||
|441/440, 540/539, 8019/8000, 4225/4224, 86625/86528 | |||
|{{val| 404 640 938 1134 1398 1495}} | |||
| +0.0854 | |||
| 0.2821 | |||
| 9.50 | |||
|} | |||
==Music== | ==Music== | ||
* [https://www.youtube.com/watch?v=CDQMtcI542U ''Error 404: Tuning Not Found''] by Francium | * [https://www.youtube.com/watch?v=CDQMtcI542U ''Error 404: Tuning Not Found''] by Francium | ||
[[Category:Listen]] | [[Category:Listen]] | ||