532edo - Revision history

ArrowHead294 at 23:00, 20 February 2025

2025-02-20T23:00:02Z

← Older revision		Revision as of 23:00, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|532~~}}		{{ED intro}}

	532edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1\|7]] is about halfway between its steps. As 532 = 19 × 28, 532edo [[tempering out\|tempers out]] both the [[enneadeca]], which sets 6/5 to 5\19, and the [[oquatonic comma]], which sets 5/4 to 9\28. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]]. In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.		532edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1\|7]] is about halfway between its steps. As 532 = 19 × 28, 532edo [[tempering out\|tempers out]] both the [[enneadeca]], which sets 6/5 to 5\19, and the [[oquatonic comma]], which sets 5/4 to 9\28. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]]. In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.

FloraC: Adopt template: Factorization

2023-11-02T13:46:33Z

Adopt template: Factorization

← Older revision		Revision as of 13:46, 2 November 2023
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 532 factors into ~~2<sup>2</sup> × 7 × 19~~, 532edo has subset edos {{EDOs\| 2, 4, 7, 14, 19, 28, 38, 76, 133, and 266 }}.		Since 532 factors into {{factorization\|532}}, 532edo has subset edos {{EDOs\| 2, 4, 7, 14, 19, 28, 38, 76, 133, and 266 }}.

FloraC: Cleanup; -redundant categories

2023-10-29T11:29:02Z

Cleanup; -redundant categories

← Older revision		Revision as of 11:29, 29 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|532}}		{{EDO intro\|532}}
	~~==Theory==~~
	~~{{harmonics in equal\|532}}~~
	Since 532 = 19 x 28, 532edo tempers out both the [[enneadeca]], which sets 6/5 to be 5\19 of the octave, and the [[oquatonic comma]], which sets 5/4 to be 9\28 of the octave. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]].

	In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.		532edo is only [[consistent]] to the [[5-odd-limit]] since [[harmonic]] [[7/1\|7]] is about halfway between its steps. As 532 = 19 × 28, 532edo [[tempering out\|tempers out]] both the [[enneadeca]], which sets 6/5 to 5\19, and the [[oquatonic comma]], which sets 5/4 to 9\28. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]]. In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.

	~~Its 7th harmonic is halfway between two notes. In the~~ patent val~~, 532edo~~ tempers out 65625/65536 and ~~the~~ [[dimcomp comma]]. ~~In the~~ 532d val it tempers out 4375/4374 and the [[~~meter~~]].		The [[patent val]] tempers out 65625/65536 ([[horwell comma]]) and 390625/388962 ([[dimcomp comma]]) in the 7-limit. The 532d [[val]] tempers out 4375/4374 ([[ragisma]]) and 703125/702464 ([[meter]]). In the 11-limit, 532d val supports the [[hemienneadecal]] temperament.

	~~In the 11-limit, 532d val supports the [[hemienneadecal]] temperament.~~		=== Prime harmonics ===
	~~[[Category:Equal divisions of the octave~~\|~~###]]~~ <~~!-- 3-digit number --~~>		{{Harmonics in equal\|532}}

			=== Subsets and supersets ===
			Since 532 factors into 2<sup>2</sup> × 7 × 19, 532edo has subset edos {{EDOs\| 2, 4, 7, 14, 19, 28, 38, 76, 133, and 266 }}.

BudjarnLambeth at 06:38, 9 July 2023

2023-07-09T06:38:34Z

← Older revision		Revision as of 06:38, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|532}}		{{EDO intro\|532}}
	==Theory==		==Theory==

BudjarnLambeth at 05:42, 9 July 2023

2023-07-09T05:42:40Z

← Older revision		Revision as of 05:42, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|532}}		{{EDO intro\|532}}
	==Theory==		==Theory==

Plumtree: Infobox ET now computes most parameters automatically

2022-10-04T19:25:16Z

Infobox ET now computes most parameters automatically

← Older revision		Revision as of 19:25, 4 October 2022
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	{{Infobox ET		{{Infobox ET}}
	~~\| Prime factorization = 19 × 7 × 2<sup>2</sup>~~
	~~\| Step size = 2.25564¢~~
	~~\| Fifth = 311\532 (701.504¢)~~
	~~\| Major 2nd = 90\532 (203.008¢)~~
	~~\| Semitones = 49:41 (110.526¢:92.481¢)~~
	~~\| Consistency = 5~~
	}}
	{{EDO intro\|532}}		{{EDO intro\|532}}
	==Theory==		==Theory==

Gud2228: /* Theory */

2022-09-09T02:33:19Z

Theory

← Older revision		Revision as of 02:33, 9 September 2022
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	In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.		In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.

	Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the [[dimcomp comma]]. In the 532d val it tempers out 4375/4374.		Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the [[dimcomp comma]]. In the 532d val it tempers out 4375/4374 and the [[meter]].

	In the 11-limit, 532d val supports the [[hemienneadecal]] temperament.		In the 11-limit, 532d val supports the [[hemienneadecal]] temperament.
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Eliora at 18:01, 25 August 2022

2022-08-25T18:01:32Z

← Older revision		Revision as of 18:01, 25 August 2022
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	==Theory==		==Theory==
	{{harmonics in equal\|532}}		{{harmonics in equal\|532}}
	~~Tempering~~ both [[enneadeca]] and [[oquatonic comma]] ~~sends~~ to 532edo ~~since 19×28~~.		Since 532 = 19 x 28, 532edo tempers out both the [[enneadeca]], which sets 6/5 to be 5\19 of the octave, and the [[oquatonic comma]], which sets 5/4 to be 9\28 of the octave. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]].

			In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit.

			Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the [[dimcomp comma]]. In the 532d val it tempers out 4375/4374.

			In the 11-limit, 532d val supports the [[hemienneadecal]] temperament.
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Eliora at 17:52, 25 August 2022

2022-08-25T17:52:56Z

← Older revision		Revision as of 17:52, 25 August 2022
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	~~Tempering both [[enneadeca]] and [[oquatonic comma]] sends to 532edo since 19×28.~~
	{{Infobox ET		{{Infobox ET
	\| Prime factorization = 19 × 7 × 2<sup>2</sup>		\| Prime factorization = 19 × 7 × 2<sup>2</sup>
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	\| Consistency = 5		\| Consistency = 5
	}}		}}
			{{EDO intro\|532}}
			==Theory==
			{{harmonics in equal\|532}}
			Tempering both [[enneadeca]] and [[oquatonic comma]] sends to 532edo since 19×28.
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Fredg999 category edits: Sort key

2022-07-04T01:38:21Z

Sort key

← Older revision		Revision as of 01:38, 4 July 2022
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	}}		}}

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->