333edo - Revision history

ArrowHead294 at 14:42, 20 February 2025

2025-02-20T14:42:19Z

← Older revision		Revision as of 14:42, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|333~~}}		{{ED intro}}

	The equal temperament tempers out [[15625/15552]] in the 5-limit and [[5120/5103]] in the 7-limit, so it [[support]]s [[countercata]]. In the 11-limit it tempers out 1375/1372 and [[4000/3993]], and in the 13-limit [[325/324]], [[364/363]], [[625/624]] and [[676/675]], and provides the [[optimal patent val]] for the rank-2 temperament [[novemkleismic]], for the rank-3 temperament tempering out 325/324, 625/624 and 676/675, the rank-4 temperament tempering out 325/324 and 1375/1372, and the rank-5 temperament tempering out 325/324.		The equal temperament tempers out [[15625/15552]] in the 5-limit and [[5120/5103]] in the 7-limit, so it [[support]]s [[countercata]]. In the 11-limit it tempers out 1375/1372 and [[4000/3993]], and in the 13-limit [[325/324]], [[364/363]], [[625/624]] and [[676/675]], and provides the [[optimal patent val]] for the rank-2 temperament [[novemkleismic]], for the rank-3 temperament tempering out 325/324, 625/624 and 676/675, the rank-4 temperament tempering out 325/324 and 1375/1372, and the rank-5 temperament tempering out 325/324.

FloraC: +subsets and supersets

2023-09-04T04:05:56Z

+subsets and supersets

← Older revision		Revision as of 04:05, 4 September 2023
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|333}}		{{Harmonics in equal\|333}}

			=== Subsets and supersets ===
			Since 333 factors into 3<sup>2</sup> × 37, 333edo has subset edos {{EDOs\| 3, 9, 37, and 111 }}.

	[[Category:Countercata]]		[[Category:Countercata]]
	[[Category:Marveltwin]]		[[Category:Marveltwin]]

FloraC: Adopt template: EDO intro; linking; +prime error table; -typo; -redundant categories

2023-09-04T04:02:58Z

Adopt template: EDO intro; linking; +prime error table; -typo; -redundant categories

← Older revision		Revision as of 04:02, 4 September 2023
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	{{Infobox ET}}		{{Infobox ET}}
	The ~~'''333~~ equal temperament~~''' divides the octave into 333 equal parts of 3.604 cents each. It~~ tempers out 15625/15552 in the 5-limit and 5120/~~5013~~ in the 7-limit, so it [[support]]s [[~~Kleismic_family#Countercata\|~~countercata ~~temperament~~]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[~~Optimal_patent_val\|~~optimal patent val]] for the rank ~~two~~ temperament [[~~Kleismic_family#Novemkleismic\|~~novemkleismic]], for the rank ~~three~~ temperament tempering out 325/324, 625/624 and 676/675, the rank ~~four~~ temperament tempering out 325/324 and 1375/1372, and the rank ~~five~~ temperament tempering out 325/324.		{{EDO intro\|333}}

			The equal temperament tempers out [[15625/15552]] in the 5-limit and [[5120/5103]] in the 7-limit, so it [[support]]s [[countercata]]. In the 11-limit it tempers out 1375/1372 and [[4000/3993]], and in the 13-limit [[325/324]], [[364/363]], [[625/624]] and [[676/675]], and provides the [[optimal patent val]] for the rank-2 temperament [[novemkleismic]], for the rank-3 temperament tempering out 325/324, 625/624 and 676/675, the rank-4 temperament tempering out 325/324 and 1375/1372, and the rank-5 temperament tempering out 325/324.

			=== Prime harmonics ===
			{{Harmonics in equal\|333}}

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

Plumtree: Infobox ET added

2022-10-04T21:50:46Z

Infobox ET added

← Older revision		Revision as of 21:50, 4 October 2022
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			{{Infobox ET}}
	The '''333 equal temperament''' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.		The '''333 equal temperament''' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.

Fredg999 category edits: Fixed typo

2022-07-03T19:25:36Z

Fixed typo

← Older revision		Revision as of 19:25, 3 July 2022
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	The ''.333 equal temperament'.' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.		The '''333 equal temperament''' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.

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

Fredg999 category edits: Categories

2022-07-03T19:25:19Z

Cmloegcmluin: link to new page for Supports

2022-01-25T18:14:49Z

link to new page for Supports

← Older revision		Revision as of 18:14, 25 January 2022
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	The ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it ~~supports~~ [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.		The ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it [[support]]s [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.
	[[Category:countercata]]		[[Category:countercata]]
	[[Category:marveltwin]]		[[Category:marveltwin]]

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 ''333 equal temperament'' divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[Kleismic_family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[Optimal_patent_val\|optimal patent val]] for the rank two temperament [[Kleismic_family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:countercata]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-02-09 16:33:55 UTC</tt>.<br>~~		[[Category:marveltwin]]
	~~: The original revision id was <tt>300283196</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 //333 equal temperament// divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[~~Kleismic family~~#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[optimal patent val]] for the rank two temperament [[~~Kleismic family~~#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.~~</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>333edo</title></head><body>The <em>333 equal temperament</em> divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports <a class="wiki_link" href="/Kleismic%20family#Countercata">countercata temperament</a>. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank two temperament <a class="wiki_link" href="/Kleismic%20family#Novemkleismic">novemkleismic</a>, for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 300283196 - Original comment:

2012-02-09T16:33:55Z

**Imported revision 300283196 - Original comment: **

← Older revision		Revision as of 16:33, 9 February 2012
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2012-02-09 16:33:35 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-02-09 16:33:55 UTC</tt>.<br>
	: The original revision id was <tt>~~300283078~~</tt>.<br>		: The original revision id was <tt>300283196</tt>.<br>
	: The revision comment was: <tt></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>		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>		<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 //333 equal temperament// divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[Kleismic family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the[[optimal patent val]] for the rank two temperament [[Kleismic family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</pre></div>		<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 //333 equal temperament// divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[Kleismic family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[optimal patent val]] for the rank two temperament [[Kleismic family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</pre></div>
	<h4>Original HTML content:</h4>		<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>333edo</title></head><body>The <em>333 equal temperament</em> divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports <a class="wiki_link" href="/Kleismic%20family#Countercata">countercata temperament</a>. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the<a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank two temperament <a class="wiki_link" href="/Kleismic%20family#Novemkleismic">novemkleismic</a>, for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</body></html></pre></div>		<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>333edo</title></head><body>The <em>333 equal temperament</em> divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports <a class="wiki_link" href="/Kleismic%20family#Countercata">countercata temperament</a>. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank two temperament <a class="wiki_link" href="/Kleismic%20family#Novemkleismic">novemkleismic</a>, for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 300283078 - Original comment:

2012-02-09T16:33:35Z

**Imported revision 300283078 - Original comment: **

← Older revision		Revision as of 16:33, 9 February 2012
Line 1:		Line 1:
	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2012-02-09 16:31:10 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-02-09 16:33:35 UTC</tt>.<br>
	: The original revision id was <tt>~~300282248~~</tt>.<br>		: The original revision id was <tt>300283078</tt>.<br>
	: The revision comment was: <tt></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>		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>		<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 //333 equal temperament// divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[Kleismic family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the [[optimal patent val]] for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</pre></div>		<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 //333 equal temperament// divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports [[Kleismic family#Countercata\|countercata temperament]]. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the[[optimal patent val]] for the rank two temperament [[Kleismic family#Novemkleismic\|novemkleismic]], for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</pre></div>
	<h4>Original HTML content:</h4>		<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>333edo</title></head><body>The <em>333 equal temperament</em> divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports <a class="wiki_link" href="/Kleismic%20family#Countercata">countercata temperament</a>. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</body></html></pre></div>		<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>333edo</title></head><body>The <em>333 equal temperament</em> divides the octave into 333 equal parts of 3.604 cents each. It tempers out 15625/15552 in the 5-limit and 5120/5013 in the 7-limit, so it supports <a class="wiki_link" href="/Kleismic%20family#Countercata">countercata temperament</a>. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the<a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank two temperament <a class="wiki_link" href="/Kleismic%20family#Novemkleismic">novemkleismic</a>, for the rank three temperament tempering out 325/324, 625/624 and 676/675, the rank four temperament tempering out 325/324 and 1375/1372, and the rank five temperament tempering out 325/324.</body></html></pre></div>