338edo - Revision history

FloraC: Not a notable vishnu tuning

2026-06-18T06:44:04Z

Not a notable vishnu tuning

← Older revision		Revision as of 06:44, 18 June 2026
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	{{ED intro}}		{{ED intro}}

	The equal temperament [[tempering out\|tempers out]] {{monzo\| 23 6 -14 }} ([[~~vishnuzma~~]]) in the 5-limit, and [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit. It provides the [[optimal patent val]] for 7-limit [[hemififths]], the {{nowrap\|99 &~~amp;~~ 239}} temperament.		The equal temperament [[tempering out\|tempers out]] {{monzo\| 23 6 -14 }} ([[vishnu comma]]) in the [[5-limit]], and [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the [[7-limit]]. It provides the [[optimal patent val]] for 7-limit [[hemififths]], the {{nowrap\| 99 & 239 }} temperament.

	=== Odd harmonics ===		=== Odd harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 338 factors into {{~~factorization~~\|~~338~~}}, 338edo has subset edos {{EDOs\| 2, 13, 26, and 169 }}.		Since 338 factors into {{nowrap\| 2 × 13<sup>2</sup> }}, 338edo has subset edos {{EDOs\| 2, 13, 26, and 169 }}.

	[[Category:Hemififths]]		[[Category:Hemififths]]
	~~[[Category:Vishnuzmic]]~~

ArrowHead294 at 14:42, 20 February 2025

2025-02-20T14:42:38Z

← Older revision		Revision as of 14:42, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|338~~}}		{{ED intro}}

	The equal temperament [[tempering out\|tempers out]] {{monzo\| 23 6 -14 }} ([[vishnuzma]]) in the 5-limit, and [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit. It provides the [[optimal patent val]] for 7-limit [[hemififths]], the 99 & 239 temperament.		The equal temperament [[tempering out\|tempers out]] {{monzo\| 23 6 -14 }} ([[vishnuzma]]) in the 5-limit, and [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit. It provides the [[optimal patent val]] for 7-limit [[hemififths]], the {{nowrap\|99 & 239}} temperament.

	=== Odd harmonics ===		=== Odd harmonics ===

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

2023-11-15T08:09:53Z

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

← Older revision		Revision as of 08:09, 15 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	The ~~'''338~~ equal ~~division''' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it~~ tempers out ~~the~~ vishnuzma~~, 6115295232/6103515625, and~~ in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[~~Optimal_patent_val\|~~optimal patent val]] for [[~~Breedsmic_temperaments#Hemififths\|~~hemififths ~~temperament~~]].		{{EDO intro\|338}}

			The equal temperament [[tempering out\|tempers out]] {{monzo\| 23 6 -14 }} ([[vishnuzma]]) in the 5-limit, and [[2401/2400]], [[5120/5103]] and [[10976/10935]] in the 7-limit. It provides the [[optimal patent val]] for 7-limit [[hemififths]], the 99 & 239 temperament.

			=== Odd harmonics ===
			{{Harmonics in equal\|338}}

			=== Subsets and supersets ===
			Since 338 factors into {{factorization\|338}}, 338edo has subset edos {{EDOs\| 2, 13, 26, and 169 }}.

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

Plumtree: Infobox ET added

2022-10-04T21:51:13Z

Infobox ET added

← Older revision		Revision as of 21:51, 4 October 2022
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			{{Infobox ET}}
	The '''338 equal division''' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[Optimal_patent_val\|optimal patent val]] for [[Breedsmic_temperaments#Hemififths\|hemififths temperament]].		The '''338 equal division''' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[Optimal_patent_val\|optimal patent val]] for [[Breedsmic_temperaments#Hemififths\|hemififths temperament]].

Fredg999 category edits: Categories

2022-07-03T19:26:24Z

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 ''338 equal division'' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[Optimal_patent_val\|optimal patent val]] for [[Breedsmic_temperaments#Hemififths\|hemififths temperament]].
	~~This is an imported revision from Wikispaces.~~ The ~~revision metadata is included below for reference:<br>~~		[[Category:hemififths]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-07-10 21:39:50 UTC</tt>.<br>~~		[[Category:vishnuzma]]
	~~: The original revision id was <tt>240755753</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 //338 equal division// divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[optimal patent val]] for [[~~Breedsmic temperaments~~#Hemififths\|hemififths 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>338edo</title></head><body>The <em>338 equal division</em> divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths temperament</a>.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 240755753 - Original comment:

2011-07-10T21:39:50Z

**Imported revision 240755753 - 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>2011-07-10 21:39:50 UTC</tt>.<br>
: The original revision id was <tt>240755753</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 //338 equal division// divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[optimal patent val]] for [[Breedsmic temperaments#Hemififths|hemififths 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>338edo</title></head><body>The <em>338 equal division</em> divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths temperament</a>.</body></html></pre></div>

← Older revision		Revision as of 19:26, 3 July 2022
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	The ''338 equal division'' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[Optimal_patent_val\|optimal patent val]] for [[Breedsmic_temperaments#Hemififths\|hemififths temperament]].		The '''338 equal division''' divides the octave into 338 equal parts of 3.550 cents each. In the 5-limit it tempers out the vishnuzma, 6115295232/6103515625, and in the 7-limit 2401/2400, 5120/5103 and 10976/10935. It provides the [[Optimal_patent_val\|optimal patent val]] for [[Breedsmic_temperaments#Hemififths\|hemififths temperament]].
	[[Category:~~hemififths~~]]
	[[Category:~~vishnuzma~~]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
			[[Category:Hemififths]]
			[[Category:Vishnuzma]]