640edo - Revision history

ArrowHead294 at 15:43, 20 February 2025

2025-02-20T15:43:47Z

← Older revision		Revision as of 15:43, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|640~~}}		{{ED intro}}

	640edo is [[enfactoring\|enfactored]] in the 5-limit, [[tempering out]] the [[vishnuzma]], {{monzo\| 23 6 -14 }}, with the same tuning as [[320edo]]. In the 7-limit it tempers out [[19683/19600]] and {{monzo\| 16 2 -1 -6 }} and in the 11-limit it tempers out [[540/539]], [[8019/8000]] and {{monzo\| 14 -1 -2 -4 1 }}. It provides the [[optimal patent val]] for the rank-3 [[albus]] temperament tempering out 540/539 and 8019/8000, and [[hemipental]], the 255 & 385 temperament.		640edo is [[enfactoring\|enfactored]] in the 5-limit, [[tempering out]] the [[vishnuzma]], {{monzo\| 23 6 -14 }}, with the same tuning as [[320edo]]. In the 7-limit it tempers out [[19683/19600]] and {{monzo\| 16 2 -1 -6 }} and in the 11-limit it tempers out [[540/539]], [[8019/8000]] and {{monzo\| 14 -1 -2 -4 1 }}. It provides the [[optimal patent val]] for the rank-3 [[albus]] temperament tempering out 540/539 and 8019/8000, and [[hemipental]], the 255 & 385 temperament.

FloraC: Adopt template: Factorization

2023-11-02T13:01:58Z

Adopt template: Factorization

← Older revision		Revision as of 13:01, 2 November 2023
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 640 factors into ~~2<sup>7</sup> × 5~~, 640edo has subset edos {{EDOs\| 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, and 320 }}.		Since 640 factors into {{factorization\|640}}, 640edo has subset edos {{EDOs\| 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, and 320 }}.

	[[Category:Albus]]		[[Category:Albus]]
	[[Category:Hemipental]]		[[Category:Hemipental]]

FloraC: Adopt template: EDO intro; +prime error table; +subsets and supersets

2023-10-25T06:32:38Z

Adopt template: EDO intro; +prime error table; +subsets and supersets

← Older revision		Revision as of 06:32, 25 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The '''640 equal divisions''' divides the octave into~~ 640 ~~equal parts of precisely 1.875 cents each. It~~ is [[~~contorted~~]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14~~>~~, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 ~~>~~ and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 ~~>~~. It provides the [[~~Optimal_patent_val\|~~optimal patent val]] for the rank ~~three~~ [[~~Cataharry_family\|~~albus ~~temperament~~]] tempering out 540/539 and 8019/8000, and the ~~125~~&~~130~~ temperament.		{{EDO intro\|640}}

			640edo is [[enfactoring\|enfactored]] in the 5-limit, [[tempering out]] the [[vishnuzma]], {{monzo\| 23 6 -14 }}, with the same tuning as [[320edo]]. In the 7-limit it tempers out [[19683/19600]] and {{monzo\| 16 2 -1 -6 }} and in the 11-limit it tempers out [[540/539]], [[8019/8000]] and {{monzo\| 14 -1 -2 -4 1 }}. It provides the [[optimal patent val]] for the rank-3 [[albus]] temperament tempering out 540/539 and 8019/8000, and [[hemipental]], the 255 & 385 temperament.

			=== Odd harmonics ===
			{{Harmonics in equal\|640}}

			=== Subsets and supersets ===
			Since 640 factors into 2<sup>7</sup> × 5, 640edo has subset edos {{EDOs\| 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, and 320 }}.

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

BudjarnLambeth at 06:42, 9 July 2023

2023-07-09T06:42:40Z

← Older revision		Revision as of 06:42, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.		The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.

BudjarnLambeth at 05:36, 9 July 2023

2023-07-09T05:36:49Z

← Older revision		Revision as of 05:36, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.		The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.

Plumtree: Infobox ET added

2022-10-04T22:00:48Z

Infobox ET added

← Older revision		Revision as of 22:00, 4 October 2022
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			{{Infobox ET}}
	The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.		The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.

Fredg999 category edits: Categories

2022-07-04T01:04:14Z

Cmloegcmluin: remove temporary link to defactoring

2021-11-12T23:09:50Z

remove temporary link to defactoring

← Older revision		Revision as of 23:09, 12 November 2021
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	The ''640 equal divisions'' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] ~~(or [[enfactored]])~~ in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.		The ''640 equal divisions'' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.
	[[Category:albus]]		[[Category:albus]]
	[[Category:vishnuzma]]		[[Category:vishnuzma]]

Cmloegcmluin: add link for defactoring

2021-09-29T19:45:27Z

add link for defactoring

← Older revision		Revision as of 19:45, 29 September 2021
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	The ''640 equal divisions'' divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.		The ''640 equal divisions'' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] (or [[enfactored]]) in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.
	[[Category:albus]]		[[Category:albus]]
	[[Category:vishnuzma]]		[[Category:vishnuzma]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		The ''640 equal divisions'' divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:albus]]
	~~: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2016-12-08 14:18:23 UTC</tt>.<br>~~		[[Category:vishnuzma]]
	~~: The original revision id was <tt>601730480</tt>.<br>~~
	~~: The revision comment was: <tt></tt><br>~~
	The ~~revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //640 equal divisions// divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[optimal patent val]] for the rank three [[~~Cataharry family~~\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.~~</pre></div>~~
	~~<h4>Original HTML content~~:~~</h4>~~
	~~<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border~~: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>640edo</title></head><body>The <em>640 equal divisions</em> divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, \|23 6 -14&gt;, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 &gt; and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 &gt;. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank three <a class="wiki_link" href="/Cataharry%20family">albus temperament</a> tempering out 540/539 and 8019/8000, and the 125&amp;130 temperament.</body></html></pre></div>

← Older revision		Revision as of 01:04, 4 July 2022
Line 1:		Line 1:
	The ''640 equal divisions'' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.		The '''640 equal divisions''' divides the octave into 640 equal parts of precisely 1.875 cents each. It is [[contorted]] in the 5-limit, tempering out the vishnuzma, \|23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and \| 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and \| 14 -1 -2 -4 1 >. It provides the [[Optimal_patent_val\|optimal patent val]] for the rank three [[Cataharry_family\|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.
	[[Category:~~albus~~]]
	[[Category:~~vishnuzma~~]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
			[[Category:Albus]]
			[[Category:Vishnuzma]]