404edo - Revision history

ArrowHead294 at 13:21, 21 February 2025

2025-02-21T13:21:45Z

← Older revision		Revision as of 13:21, 21 February 2025
Line 13:		Line 13:
	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
			\|-
	! rowspan="2" \| [[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	! colspan="2" \| Tuning ~~Error~~		! colspan="2" \| Tuning error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
Line 29:		Line 30:
	\| 9.50		\| 9.50
	\|}		\|}

	== Trivia ==		== Trivia ==
	A Scala file for this EDO is used as the 404 page of [[Sevish]]'s website.		A Scala file for this EDO is used as the 404 page of [[Sevish]]'s website.

	== Music ==		== Music ==
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]

Francium: changed EDO intro to ED intro

2025-02-21T05:36:39Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:36, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|404~~}}		{{ED intro}}

	== Theory ==		== Theory ==

CompactStar at 07:34, 12 February 2024

2024-02-12T07:34:14Z

← Older revision		Revision as of 07:34, 12 February 2024
Line 29:		Line 29:
	\| 9.50		\| 9.50
	\|}		\|}
			== Trivia ==
			A Scala file for this EDO is used as the 404 page of [[Sevish]]'s website.
	== Music ==		== Music ==
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]

FloraC: Rework

2023-11-06T15:19:50Z

Rework

← Older revision		Revision as of 15:19, 6 November 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|404}}		{{EDO intro\|404}}
	==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~~.		== 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}}
	==Regular temperament properties==
			=== 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"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \|[[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Comma list\|Comma List]]		! rowspan="2" \| [[Comma list\|Comma List]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \|Optimal<br>8ve Stretch (¢)		! rowspan="2" \| Optimal<br>8ve Stretch (¢)
	! colspan="2" \|Tuning Error		! 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~~		! [[TE error\|Absolute]] (¢)
	\|~~441/440, 540/539, 8019/8000, 65625/65536~~		! [[TE simple badness\|Relative]] (%)
	~~\|{{val\| 404 640 938 1134 1398}}~~
	~~\| +0.1061~~
	~~\| 0.3049~~
	~~\| 10.26~~
	\|-		\|-
	\|2.3.5.7.11.13		\| 2.3.5.7.11.13
	\|441/440, ~~540~~/~~539, 8019/8000~~, 4225/4224, ~~86625~~/~~86528~~		\| 243/242, 441/440, 4000/3993, 4225/4224, 65625/65536
	\|{{~~val~~\| 404 640 938 1134 1398 1495}}		\| {{mapping\| 404 640 938 1134 1398 1495 }} (404)
	\| +0.0854		\| +0.0854
	\| 0.2821		\| 0.2821
Line 51:		Line 30:
	\|}		\|}

	==Music==		== Music ==
	* [https://~~www~~.~~youtube.com~~/~~watch~~?v=~~CDQMtcI542U~~ ''Error 404: Tuning Not Found''] ~~by Francium~~		; [[User:Francium\|Francium]]
			* [https://youtu.be/CDQMtcI542U?si=gvXoTa6CGuT36hCu ''Error 404: Tuning Not Found''] (2023)

	[[Category:Listen]]		[[Category:Listen]]

BudjarnLambeth at 06:32, 9 July 2023

2023-07-09T06:32:27Z

← Older revision		Revision as of 06:32, 9 July 2023
Line 1:		Line 1:
	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|404}}		{{EDO intro\|404}}
	==Theory==		==Theory==

BudjarnLambeth at 05:57, 9 July 2023

2023-07-09T05:57:14Z

← Older revision		Revision as of 05:57, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|404}}		{{EDO intro\|404}}
	==Theory==		==Theory==

Francium at 19:54, 26 March 2023

2023-03-26T19:54:45Z

@@ Line 1: / Line 1: @@
 {{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.
+{{EDO intro|404}}
 ==Theory==
 {{Harmonics in equal|404}}
 ==Music==
 * [https://www.youtube.com/watch?v=CDQMtcI542U ''Error 404: Tuning Not Found''] by Francium
 [[Category:Listen]]

Eliora: category listen

2023-03-11T23:51:58Z

category listen

← Older revision		Revision as of 23:51, 11 March 2023
Line 4:		Line 4:
	{{Harmonics in equal\|404}}		{{Harmonics in equal\|404}}

	=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]]

Francium at 11:07, 9 March 2023

2023-03-09T11:07:33Z

← Older revision		Revision as of 11:07, 9 March 2023
Line 3:		Line 3:
	==Theory==		==Theory==
	{{Harmonics in equal\|404}}		{{Harmonics in equal\|404}}

			=Music=

			* [https://www.youtube.com/watch?v=CDQMtcI542U ''Error 404: Tuning Not Found''] by Francium

Francium: Created page with "{{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 an..."

2023-03-01T20:20:05Z

Created page with "{{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 an..."

New page

{{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.
==Theory==
{{Harmonics in equal|404}}