43edf - Revision history

ArrowHead294 at 20:57, 11 February 2025

2025-02-11T20:57:48Z

← Older revision		Revision as of 20:57, 11 February 2025
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	== Related temperament ==		== Related temperament ==
	===7-limit 441&4631&12276===		===7-limit 441 & 4631 & 12276===
	Comma: \|-135 135 -86 43>		Comma: \|-135 135 -86 43>

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	EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742}}		EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742}}

	===13-limit 441&4631&12276===		===13-limit 441 & 4631 & 12276===
	Commas: 33792000/33787663, 703096443/703040000, 33319272448/33317578125		Commas: 33792000/33787663, 703096443/703040000, 33319272448/33317578125

FloraC: Cleanup

2025-01-17T17:15:04Z

Cleanup

← Older revision		Revision as of 17:15, 17 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''43EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent\|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]).~~		{{ED intro}}

	It is related to the [[microtemperament]] which [[tempers out]] \|-135 135 -86 43~~>~~ (0.45970 cents) in the [[7-limit]], which is supported by {{EDOs\|441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and ~~16466~~}} ~~EDOs~~.		== Theory ==
			43edf corresponds to 73.5090 [[edo]], similar to every second step of [[147edo]]. It is related to the [[microtemperament]] which [[tempering out\|tempers out]] {{monzo\| -135 135 -86 43 }} (0.45970 cents) in the [[7-limit]], which is supported by {{EDOs\| 441-, 4190-, 4631-, 5072-, 7204-, 11394-, 11835-, 12276-, and 16466edo }}.

	==Related temperament==		=== Harmonics ===
			{{Harmonics in equal\|43\|3\|2}}
			{{Harmonics in equal\|43\|3\|2\|start=12\|collapsed=true\|title=Approximation of harmonics in 43edf (continued)}}

			== Related temperament ==
	===7-limit 441&4631&12276===		===7-limit 441&4631&12276===
	Comma: \|-135 135 -86 43>		Comma: \|-135 135 -86 43>
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	EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}		EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}

	~~==Harmonics==~~		{{Todo\|cleanup\|expand}}
	{{~~Harmonics in equal~~\|~~43\|3\|2}}~~
	~~{{Harmonics in equal\|43\|3\|2\|start=12\|title=(contd.)}}~~

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

BudjarnLambeth: Harmonics, links, todo:expand

2024-12-18T04:53:32Z

Harmonics, links, todo:expand

← Older revision		Revision as of 04:53, 18 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''43EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent\|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]). It is related to the [[~~microtempering\|~~microtemperament]] which tempers out \|-135 135 -86 43> (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.		'''43EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent\|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]).

			It is related to the [[microtemperament]] which [[tempers out]] \|-135 135 -86 43> (0.45970 cents) in the [[7-limit]], which is supported by {{EDOs\|441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466}} EDOs.

	==Related temperament==		==Related temperament==
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	EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}		EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}

			==Harmonics==
			{{Harmonics in equal\|43\|3\|2}}
			{{Harmonics in equal\|43\|3\|2\|start=12\|title=(contd.)}}

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

Francium: /* Related temperament */

2023-05-03T16:26:32Z

Related temperament

← Older revision		Revision as of 16:26, 3 May 2023
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	Mapping: [<1 1 0 0\|, <0 43 0 -135\|, <0 0 1 2\|]		Mapping: [<1 1 0 0\|, <0 43 0 -135\|, <0 0 1 2\|]

	EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111		EDOs: {{EDOs\|441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111}}

	===11-limit 441&4631&12276===		===11-limit 441&4631&12276===
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	Mapping: [<1 1 0 0 -2\|, <0 43 0 -135 572\|, <0 0 1 2 -1\|]		Mapping: [<1 1 0 0 -2\|, <0 43 0 -135 572\|, <0 0 1 2 -1\|]

	EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742		EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742}}

	===13-limit 441&4631&12276===		===13-limit 441&4631&12276===
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	Mapping: [<1 1 0 0 -2 2\|, <0 43 0 -135 572 125\|, <0 0 1 2 -1 0\|]		Mapping: [<1 1 0 0 -2 2\|, <0 43 0 -135 572 125\|, <0 0 1 2 -1 0\|]

	EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276		EDOs: {{EDOs\|441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276}}

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

Plumtree: Infobox ET added

2022-10-05T18:45:59Z

Infobox ET added

← Older revision		Revision as of 18:45, 5 October 2022
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			{{Infobox ET}}
	'''43EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent\|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]). It is related to the [[microtempering\|microtemperament]] which tempers out \|-135 135 -86 43> (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.		'''43EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent\|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]). It is related to the [[microtempering\|microtemperament]] which tempers out \|-135 135 -86 43> (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.

Cmloegcmluin: map → mapping

2021-11-05T19:46:34Z

map → mapping

← Older revision		Revision as of 19:46, 5 November 2021
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	POTE generators: ~5/4 = 386.3143, ~\|-22 22 -14 7> = 16.3245		POTE generators: ~5/4 = 386.3143, ~\|-22 22 -14 7> = 16.3245

	~~Map~~: [<1 1 0 0\|, <0 43 0 -135\|, <0 0 1 2\|]		Mapping: [<1 1 0 0\|, <0 43 0 -135\|, <0 0 1 2\|]

	EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111		EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111
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	POTE generators: ~5/4 = 386.3178, ~\|-22 22 -14 7> = 16.3245		POTE generators: ~5/4 = 386.3178, ~\|-22 22 -14 7> = 16.3245

	~~Map~~: [<1 1 0 0 -2\|, <0 43 0 -135 572\|, <0 0 1 2 -1\|]		Mapping: [<1 1 0 0 -2\|, <0 43 0 -135 572\|, <0 0 1 2 -1\|]

	EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742		EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742
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	POTE generators: ~5/4 = 386.3240, ~\|-22 22 -14 7> = 16.3246		POTE generators: ~5/4 = 386.3240, ~\|-22 22 -14 7> = 16.3246

	~~Map~~: [<1 1 0 0 -2 2\|, <0 43 0 -135 572 125\|, <0 0 1 2 -1 0\|]		Mapping: [<1 1 0 0 -2 2\|, <0 43 0 -135 572 125\|, <0 0 1 2 -1 0\|]

	EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276		EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276

Xenllium: Created page with "'''43EDF''' is the equal division of the just perfect fifth into 43 parts of 16.3245 cents each, corresponding to 73.5090 edo (similar to every second ste..."

2019-02-11T04:52:53Z

Created page with "'''43EDF''' is the equal division of the just perfect fifth into 43 parts of 16.3245 cents each, corresponding to 73.5090 edo (similar to every second ste..."

New page

'''43EDF''' is the [[EDF|equal division of the just perfect fifth]] into 43 parts of 16.3245 [[cent|cents]] each, corresponding to 73.5090 [[edo]] (similar to every second step of [[147edo]]). It is related to the [[microtempering|microtemperament]] which tempers out |-135 135 -86 43> (0.45970 cents) in the 7-limit, which is supported by 441, 4190, 4631, 5072, 7204, 11394, 11835, 12276, and 16466 EDOs.

==Related temperament==
===7-limit 441&4631&12276===
Comma: |-135 135 -86 43>

POTE generators: ~5/4 = 386.3143, ~|-22 22 -14 7> = 16.3245

Map: [<1 1 0 0|, <0 43 0 -135|, <0 0 1 2|]

EDOs: 441, 3749, 4190, 4631, 5072, 5513, 6763, 7204, 11394, 11835, 12276, 12717, 16466, 23229, 24111

===11-limit 441&4631&12276===
Commas: |-31 29 -11 5 -1>, |20 -10 -31 18 5>

POTE generators: ~5/4 = 386.3178, ~|-22 22 -14 7> = 16.3245

Map: [<1 1 0 0 -2|, <0 43 0 -135 572|, <0 0 1 2 -1|]

EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 11835, 12276, 16466, 16907, 24111, 28742

===13-limit 441&4631&12276===
Commas: 33792000/33787663, 703096443/703040000, 33319272448/33317578125

POTE generators: ~5/4 = 386.3240, ~|-22 22 -14 7> = 16.3246

Map: [<1 1 0 0 -2 2|, <0 43 0 -135 572 125|, <0 0 1 2 -1 0|]

EDOs: 441, 3455, 3749, 3896, 4190, 4631, 7645, 8086, 8821, 12276

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