53edf - Revision history

FloraC: Cleanup

2025-01-17T17:20:50Z

Cleanup

← Older revision		Revision as of 17:20, 17 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''53EDF''' is the [[EDF~~\|~~equal division of the just perfect fifth]] into~~ 53 ~~parts of 13.2444 [[cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]).~~		{{ED intro\|53}}

	It is related to the [[regular temperament]] which [[tempers out]] \|-44 44 53 -53~~>~~ in the [[7-limit]], which is supported by {{EDOs\|90, 91, 181, 453, 544, 634, 725, 997, 1087, and ~~1178~~}} ~~EDOs~~.		== Theory ==
			53edf corresponds to 90.6041[[edo]], similar to every fifth step of [[453edo]]. It is related to the [[regular temperament]] which [[tempering out\|tempers out]] {{monzo\| -44 44 53 -53 }} in the [[7-limit]], which is supported by {{EDOs\| 90-, 91-, 181-, 453-, 544-, 634-, 725-, 997-, 1087-, and 1178edo }}.

	==Related temperament==		=== Harmonics ===
			{{Harmonics in equal\|53\|3\|2\|intervals=prime}}
			{{Harmonics in equal\|53\|3\|2\|intervals=prime\|collapsed=1\|start=12\|Approximation of prime harmonics in 53edf (continued)}}

			== Related temperament ==
	===7-limit 453&544&634===		===7-limit 453&544&634===
	Comma: \|-44 44 53 -53>		Comma: \|-44 44 53 -53>
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	EDOs: {{EDOs\|453, 725, 1178, 1631, 2084, 2809}}		EDOs: {{EDOs\|453, 725, 1178, 1631, 2084, 2809}}

	~~== Harmonics ==~~		{{Todo\|cleanup\|expand}}
	{{~~Harmonics in equal~~\|~~53\|3\|2\|intervals=prime}}~~
	~~{{Harmonics in equal\|53\|3\|2\|intervals=prime\|collapsed=1\|start=12}}~~

	~~{{todo~~\|expand}}
	~~[[Category:Edf]]~~
	~~[[Category:Edonoi]]~~

BudjarnLambeth: Add {{EDOs}}, {{todo|expand}} and harmonics table

2024-12-18T04:05:12Z

Add {{EDOs}}, {{todo|expand}} and harmonics table

← Older revision		Revision as of 04:05, 18 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''53EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 53 parts of 13.2444 [[~~cent\|~~cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]). It is related to the regular temperament which tempers out \|-44 44 53 -53> in the 7-limit, which is supported by 90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178 EDOs.		'''53EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 53 parts of 13.2444 [[cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]).

			It is related to the [[regular temperament]] which [[tempers out]] \|-44 44 53 -53> in the [[7-limit]], which is supported by {{EDOs\|90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178}} EDOs.

	==Related temperament==		==Related temperament==
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	EDOs: {{EDOs\|453, 725, 1178, 1631, 2084, 2809}}		EDOs: {{EDOs\|453, 725, 1178, 1631, 2084, 2809}}

			== Harmonics ==
			{{Harmonics in equal\|53\|3\|2\|intervals=prime}}
			{{Harmonics in equal\|53\|3\|2\|intervals=prime\|collapsed=1\|start=12}}

			{{todo\|expand}}
	[[Category:Edf]]		[[Category:Edf]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Francium at 17:12, 27 November 2023

2023-11-27T17:12:53Z

← Older revision		Revision as of 17:12, 27 November 2023
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	Mapping: [<1 1 0 0\|, <0 53 0 44\|, <0 0 1 1\|]		Mapping: [<1 1 0 0\|, <0 53 0 44\|, <0 0 1 1\|]

	EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178		EDOs: {{EDOs\|90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178}}

	===7-limit 453&1178===		===7-limit 453&1178===
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	Mapping: [<1 1 -1 -1\|, <0 53 301 345\|]		Mapping: [<1 1 -1 -1\|, <0 53 301 345\|]

	EDOs: 453, 725, 1178, 1631, 2084, 2809		EDOs: {{EDOs\|453, 725, 1178, 1631, 2084, 2809}}

	[[Category:Edf]]		[[Category:Edf]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T18:49:26Z

Infobox ET added

← Older revision		Revision as of 18:49, 5 October 2022
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			{{Infobox ET}}
	'''53EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 53 parts of 13.2444 [[cent\|cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]). It is related to the regular temperament which tempers out \|-44 44 53 -53> in the 7-limit, which is supported by 90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178 EDOs.		'''53EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 53 parts of 13.2444 [[cent\|cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]). It is related to the regular temperament which tempers out \|-44 44 53 -53> in the 7-limit, which is supported by 90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178 EDOs.

Cmloegcmluin: map → mapping

2021-11-05T19:47:35Z

map → mapping

← Older revision		Revision as of 19:47, 5 November 2021
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	POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434		POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434

	~~Map~~: [<1 1 0 0\|, <0 53 0 44\|, <0 0 1 1\|]		Mapping: [<1 1 0 0\|, <0 53 0 44\|, <0 0 1 1\|]

	EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178		EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178
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	POTE generator: ~3796875/3764768 = 13.2432		POTE generator: ~3796875/3764768 = 13.2432

	~~Map~~: [<1 1 -1 -1\|, <0 53 301 345\|]		Mapping: [<1 1 -1 -1\|, <0 53 301 345\|]

	EDOs: 453, 725, 1178, 1631, 2084, 2809		EDOs: 453, 725, 1178, 1631, 2084, 2809

Xenllium: Created page with "'''53EDF''' is the equal division of the just perfect fifth into 53 parts of 13.2444 cents each, corresponding to 90.6041 edo (similar to every fifth step..."

2019-02-13T23:56:42Z

Created page with "'''53EDF''' is the equal division of the just perfect fifth into 53 parts of 13.2444 cents each, corresponding to 90.6041 edo (similar to every fifth step..."

New page

'''53EDF''' is the [[EDF|equal division of the just perfect fifth]] into 53 parts of 13.2444 [[cent|cents]] each, corresponding to 90.6041 [[edo]] (similar to every fifth step of [[453edo]]). It is related to the regular temperament which tempers out |-44 44 53 -53> in the 7-limit, which is supported by 90, 91, 181, 453, 544, 634, 725, 997, 1087, and 1178 EDOs.

==Related temperament==
===7-limit 453&544&634===
Comma: |-44 44 53 -53>

POTE generators: ~5/4 = 386.2004, ~3796875/3764768 = 13.2434

Map: [<1 1 0 0|, <0 53 0 44|, <0 0 1 1|]

EDOs: 90, 91, 181, 453, 544, 634, 725, 997, 1087, 1178

===7-limit 453&1178===
Commas: 2460375/2458624, |6 -1 38 -33>

POTE generator: ~3796875/3764768 = 13.2432

Map: [<1 1 -1 -1|, <0 53 301 345|]

EDOs: 453, 725, 1178, 1631, 2084, 2809

[[Category:Edf]]
[[Category:Edonoi]]