404edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== | |||
== Theory == | |||
404edo is [[enfactoring|enfactored]] in the 11-limit, with the same tuning as [[202edo]]. The alternative 404e [[val]], with lower overall error, [[tempering out|tempers out]] [[3025/3024]] and [[41503/41472]] in the 11-limit; and [[847/845]], [[1001/1000]], and [[1716/1715]] in the 13-limit, whereas the [[patent val]] in the 13-limit tempers out [[4225/4224]]. | |||
=== Odd harmonics === | |||
{{Harmonics in equal|404}} | {{Harmonics in equal|404}} | ||
=== Subsets and supersets === | |||
Since 404 factors into {{factorization|404}}, 404edo has subset edos {{EDOs| 2, 4, 101, and 202 }}. | |||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 243/242, 441/440, 4000/3993, 4225/4224, 65625/65536 | |||
| {{mapping| 404 640 938 1134 1398 1495 }} (404) | |||
| +0.0854 | |||
| 0.2821 | |||
| 9.50 | |||
|} | |||
== Trivia == | |||
A Scala file for this EDO is used as the 404 page of [[Sevish]]'s website. | |||
== Music == | |||
; [[User:Francium|Francium]] | |||
* [https://youtu.be/CDQMtcI542U?si=gvXoTa6CGuT36hCu ''Error 404: Tuning Not Found''] (2023) | |||
[[Category:Listen]] | |||