404edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|404}}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.
+{{ED intro}}
-==Theory==
+== Theory ==
+edo 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}}
-==Music==
+=== 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.
-* [https://www.youtube.com/watch?v=CDQMtcI542U ''Error 404: Tuning Not Found''] by Francium
+== Music ==
+; [[User:Francium|Francium]]
+* [https://youtu.be/CDQMtcI542U?si=gvXoTa6CGuT36hCu ''Error 404: Tuning Not Found''] (2023)
 [[Category:Listen]]