265edo - Revision history

ArrowHead294 at 14:26, 20 February 2025

2025-02-20T14:26:01Z

← Older revision		Revision as of 14:26, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|265~~}}		{{ED intro}}

	265 = 5 × 53, and 265edo is [[enfactoring\|enfactored]] in the 5-limit, [[tempering out]] the same [[comma]]s as [[53edo]], including [[15625/15552]] and [[32805/32768]]. In the 7-limit it tempers out [[16875/16807]] and [[420175/419904]], so that it [[support]]s [[sqrtphi]], for which it provides the [[optimal patent val]]. In the 11-limit it tempers out [[540/539]], 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		265 = 5 × 53, and 265edo is [[enfactoring\|enfactored]] in the 5-limit, [[tempering out]] the same [[comma]]s as [[53edo]], including [[15625/15552]] and [[32805/32768]]. In the 7-limit it tempers out [[16875/16807]] and [[420175/419904]], so that it [[support]]s [[sqrtphi]], for which it provides the [[optimal patent val]]. In the 11-limit it tempers out [[540/539]], 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

FloraC: Rework and expand

2024-03-11T04:50:48Z

Rework and expand

← Older revision		Revision as of 04:50, 11 March 2024
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	{{EDO intro\|265}}		{{EDO intro\|265}}

	It is [[~~contorted~~]] in the 5-limit, tempering out the same ~~commas~~ as [[~~53edo\|~~53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[~~Kleismic_family#Sqrtphi\|~~sqrtphi ~~temperament~~]], for which it provides the [[~~Optimal_patent_val\|~~optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		265 = 5 × 53, and 265edo is [[enfactoring\|enfactored]] in the 5-limit, [[tempering out]] the same [[comma]]s as [[53edo]], including [[15625/15552]] and [[32805/32768]]. In the 7-limit it tempers out [[16875/16807]] and [[420175/419904]], so that it [[support]]s [[sqrtphi]], for which it provides the [[optimal patent val]]. In the 11-limit it tempers out [[540/539]], 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|265}}		{{Harmonics in equal\|265}}

			=== Subsets and supersets ===
			265edo contains [[5edo]] and [[53edo]] as subsets. [[795edo]], which triples it, corrects its harmonic 5 to near-just quality.

			A step of 265edo is exactly 40 [[türk sent]]s.

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

Eliora at 18:10, 3 June 2023

2023-06-03T18:10:12Z

← Older revision		Revision as of 18:10, 3 June 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The '''265 equal division''' divides the octave into~~ 265 ~~equal parts of 4.528 cents each.~~ It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		{{EDO intro\|265}}

			It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.
			=== Prime harmonics ===
			{{harmonics in equal\|265}}

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

Plumtree: Infobox ET added

2022-10-04T21:29:31Z

Infobox ET added

← Older revision		Revision as of 21:29, 4 October 2022
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			{{Infobox ET}}
	The '''265 equal division''' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		The '''265 equal division''' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

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

Fredg999 category edits: Categories

2022-07-03T19:06:06Z

Cmloegcmluin: link to new page for Supports

2022-01-25T18:03:57Z

link to new page for Supports

← Older revision		Revision as of 18:03, 25 January 2022
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	The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it ~~supports~~ [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

Cmloegcmluin: remove temporary link to defactoring

2021-11-12T23:10:14Z

remove temporary link to defactoring

← Older revision		Revision as of 23:10, 12 November 2021
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	The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] ~~(or [[enfactored]])~~ in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

Cmloegcmluin: add link for defactoring

2021-09-29T19:44:53Z

add link for defactoring

← Older revision		Revision as of 19:44, 29 September 2021
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	The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] (or [[enfactored]]) in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

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 ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-07-08 00:22:23 UTC</tt>.<br>~~
	~~: The original revision id was <tt>240470073</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 //265 equal division// divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as [[53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[~~Kleismic family~~#Sqrtphi\|sqrtphi temperament]], for which it provides the [[optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi 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>265edo</title></head><body>The <em>265 equal division</em> divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as <a class="wiki_link" href="/53edo">53edo</a>, including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports <a class="wiki_link" href="/Kleismic%20family#Sqrtphi">sqrtphi temperament</a>, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 240470073 - Original comment:

2011-07-08T00:22:23Z

**Imported revision 240470073 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-08 00:22:23 UTC</tt>.<br>
: The original revision id was <tt>240470073</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 //265 equal division// divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as [[53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports [[Kleismic family#Sqrtphi|sqrtphi temperament]], for which it provides the [[optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi 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>265edo</title></head><body>The <em>265 equal division</em> divides the octave into 265 equal parts of 4.528 cents each. It is contorted in the 5-limit, tempering out the same commas as <a class="wiki_link" href="/53edo">53edo</a>, including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it supports <a class="wiki_link" href="/Kleismic%20family#Sqrtphi">sqrtphi temperament</a>, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.</body></html></pre></div>

← Older revision		Revision as of 19:06, 3 July 2022
Line 1:		Line 1:
	The ''265 equal division'' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.		The '''265 equal division''' divides the octave into 265 equal parts of 4.528 cents each. It is [[contorted]] in the 5-limit, tempering out the same commas as [[53edo\|53edo]], including 15625/15552 and 32805/32768. In the 7-limit it tempers out 16875/16807 and 420175/419904, so that it [[support]]s [[Kleismic_family#Sqrtphi\|sqrtphi temperament]], for which it provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 540/539, 1375/1372 and 4375/4356, and gives the optimal patent val for 11-limit sqrtphi temperament.

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