133edo - Revision history

ArrowHead294 at 19:24, 20 February 2025

2025-02-20T19:24:19Z

← Older revision		Revision as of 19:24, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	133edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out\|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.		133edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out\|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.

FloraC: +one-liner overview

2024-05-27T16:22:37Z

+one-liner overview

← Older revision		Revision as of 16:22, 27 May 2024
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	{{EDO intro}}		{{EDO intro}}

	The equal temperament [[tempering out\|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.		133edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out\|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.

	Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].		Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].

FloraC: +subsets and supersets

2024-05-27T16:17:19Z

+subsets and supersets

← Older revision		Revision as of 16:17, 27 May 2024
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	Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].		Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].

	=== ~~Odd~~ harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|133}}		{{Harmonics in equal\|133}}

			=== Subsets and supersets ===
			Since 133 factors into {{factorization\|133}}, 133edo contains [[7edo]] and [[19edo]] as its subsets.

FloraC: Adopt template: EDO intro; -redundant categories; misc. cleanup

2024-05-27T16:15:46Z

Adopt template: EDO intro; -redundant categories; misc. cleanup

← Older revision		Revision as of 16:15, 27 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''133edo''' is the [[~~EDO~~\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.~~		{{EDO intro}}

	~~Using the patent val, it supports~~ [[~~superenneadecal~~]]~~, it tempers out 245/243, 1029/1024 and 395136~~/390625 ~~in the 7-limit; 385/384, 441/440, 896/891 and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363~~ and ~~3146~~/~~3125~~ in the 13-limit.		The equal temperament [[tempering out\|tempers out]] 393216/390625 ([[würschmidt comma]]) and 131072000/129140163 (rodan comma) in the 5-limit.

	Using the ~~133d~~ val, it ~~supports~~ [[~~enneadecal~~]], ~~it tempers 1728~~/~~1715~~, ~~4000~~/~~3969~~ and ~~4375~~/~~4374~~.		Using the [[patent val]], it tempers out [[245/243]], [[1029/1024]] and 395136/390625 in the 7-limit; [[385/384]], [[441/440]], [[896/891]] and 43923/43750 in the 11-limit; [[196/195]], [[325/324]], [[352/351]], [[364/363]] and 3146/3125 in the 13-limit. It [[support]]s [[rodan]] and [[superenneadecal]].

			Using the 133d val, it tempers out [[1728/1715]], [[4000/3969]] and [[4375/4374]]. It supports [[enneadecal]].

			=== Odd harmonics ===
	{{Harmonics in equal\|133}}		{{Harmonics in equal\|133}}
	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T02:59:40Z

Added "harmonics in equal" table

← Older revision		Revision as of 02:59, 24 June 2023
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	Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.		Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.

			{{Harmonics in equal\|133}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Aura at 18:57, 4 October 2022

2022-10-04T18:57:03Z

← Older revision		Revision as of 18:57, 4 October 2022
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			{{Infobox ET}}
	'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.		'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.

Fredg999 category edits: Sort key

2022-07-02T16:34:35Z

Sort key

← Older revision		Revision as of 16:34, 2 July 2022
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	Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.		Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.

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

Gud2228 at 08:24, 4 May 2022

2022-05-04T08:24:27Z

← Older revision		Revision as of 08:24, 4 May 2022
Line 1:		Line 1:
	'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.		'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.

	Using the patent val, it supports [[superenneadecal]], it tempers out 245/243, 1029/1024, and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891, and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363, and 3146/3125 in the 13-limit.		Using the patent val, it supports [[superenneadecal]], it tempers out 245/243, 1029/1024 and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891 and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363 and 3146/3125 in the 13-limit.

	Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.		Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

Gud2228 at 08:24, 4 May 2022

2022-05-04T08:24:00Z

← Older revision		Revision as of 08:24, 4 May 2022
Line 1:		Line 1:
	'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.		'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.
	Using the patent val it supports [[superenneadecal]], it tempers out 245/243, 1029/1024, and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891, and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363, and 3146/3125 in the 13-limit.
			Using the patent val, it supports [[superenneadecal]], it tempers out 245/243, 1029/1024, and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891, and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363, and 3146/3125 in the 13-limit.

	Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.		Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

Gud2228 at 08:23, 4 May 2022

2022-05-04T08:23:27Z

← Older revision		Revision as of 08:23, 4 May 2022
Line 1:		Line 1:
	'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit. Using the patent val, it tempers out 245/243, 1029/1024, and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891, and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363, and 3146/3125 in the 13-limit.		'''133edo''' is the [[EDO\|equal division of the octave]] into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.
			Using the patent val it supports [[superenneadecal]], it tempers out 245/243, 1029/1024, and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891, and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363, and 3146/3125 in the 13-limit.

			Using the 133d val, it supports [[enneadecal]], it tempers 1728/1715, 4000/3969 and 4375/4374.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]