215edo - Revision history

ArrowHead294 at 14:16, 20 February 2025

2025-02-20T14:16:55Z

← Older revision		Revision as of 14:16, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	215et [[tempering out\|tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].		215et [[tempering out\|tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].

FloraC: Cleanup

2025-01-17T15:32:34Z

Cleanup

← Older revision		Revision as of 15:32, 17 January 2025
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	{{EDO intro}}		{{EDO intro}}

	~~215edo~~ [[tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].		215et [[tempering out\|tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].

	=== Odd harmonics ===		=== Odd harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 215 factors into ~~{{factorization\|215}}~~, 215edo contains [[5edo]] and [[43edo]] as its subsets.		Since 215 factors into 5 × 43, 215edo contains [[5edo]] and [[43edo]] as its subsets.

	[[Category:Ditonic]]		[[Category:Ditonic]]
	[[Category:Octagar]]		[[Category:Octagar]]

ArrowHead294 at 15:59, 16 January 2025

2025-01-16T15:59:38Z

← Older revision		Revision as of 15:59, 16 January 2025
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	{{EDO intro}}		{{EDO intro}}

	~~The equal temperament~~ [[~~tempering out\|~~tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].		215edo [[tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].

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

FloraC: Rework; +subsets and supersets

2024-04-03T08:24:36Z

Rework; +subsets and supersets

← Older revision		Revision as of 08:24, 3 April 2024
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	{{Infobox ET}}		{{Infobox ET}}
	The '''215 equal temperament''' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths\|hemififths]] temperament.		{{EDO intro}}

	[[~~Category:Equal divisions of~~ the ~~octave~~\|~~###~~]] ~~<!-~~- 3~~-digit number -->~~		The equal temperament [[tempering out\|tempers out]] [[4000/3969]] and [[65625/65536]], and the [[patent val]] provides the [[optimal patent val]] for the 53 & 162 temperament ([[ditonic\|ditonic extension]]) tempering them both out, and the rank-3 temperament tempering 4000/3969 out. The 215c val tempers out [[2401/2400]], [[5120/5103]], and [[support]]s [[hemififths]].

			=== Odd harmonics ===
			{{Harmonics in equal\|215}}

			=== Subsets and supersets ===
			Since 215 factors into {{factorization\|215}}, 215edo contains [[5edo]] and [[43edo]] as its subsets.

			[[Category:Ditonic]]
			[[Category:Octagar]]

Plumtree: Infobox ET added

2022-10-04T21:23:03Z

Infobox ET added

← Older revision		Revision as of 21:23, 4 October 2022
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			{{Infobox ET}}
	The '''215 equal temperament''' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths\|hemififths]] temperament.		The '''215 equal temperament''' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths\|hemififths]] temperament.

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

Fredg999 category edits: Categories

2022-07-03T18:33:45Z

Cmloegcmluin: link to new page for Supports

2022-01-25T17:53:19Z

link to new page for Supports

← Older revision		Revision as of 17:53, 25 January 2022
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	The ''215 equal temperament'' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and ~~supports~~ [[Breedsmic_temperaments#Hemififths\|hemififths]] temperament.		The ''215 equal temperament'' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths\|hemififths]] 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 ''215 equal temperament'' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and supports [[Breedsmic_temperaments#Hemififths\|hemififths]] 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>2011-07-06 00:10:54 UTC</tt>.<br>~~
	~~: The original revision id was <tt>240149061</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 //215 equal temperament// divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and supports [[~~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>215edo</title></head><body>The <em>215 equal temperament</em> divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 3&amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and supports <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths</a> temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 240149061 - Original comment:

2011-07-06T00:10:54Z

**Imported revision 240149061 - Original comment: **

← Older revision		Revision as of 00:10, 6 July 2011
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>2011-07-06 00:09:16 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-07-06 00:10:54 UTC</tt>.<br>
	: The original revision id was <tt>~~240148957~~</tt>.<br>		: The original revision id was <tt>240149061</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 //215 equal temperament// divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out ~~2410~~/2400, 5120/5103, and supports [[Breedsmic temperaments#Hemififths\|hemififths]] temperament.</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 //215 equal temperament// divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and supports [[Breedsmic temperaments#Hemififths\|hemififths]] temperament.</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>215edo</title></head><body>The <em>215 equal temperament</em> divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 3&amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out ~~2410~~/2400, 5120/5103, and supports <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths</a> temperament.</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>215edo</title></head><body>The <em>215 equal temperament</em> divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 3&amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and supports <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths</a> temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 240148957 - Original comment:

2011-07-06T00:09:16Z

**Imported revision 240148957 - Original comment: **

← Older revision		Revision as of 00:09, 6 July 2011
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>2011-07-06 00:03:44 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-07-06 00:09:16 UTC</tt>.<br>
	: The original revision id was <tt>~~240148481~~</tt>.<br>		: The original revision id was <tt>240148957</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 //215 equal temperament// divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and provides the [[optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out.</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 //215 equal temperament// divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2410/2400, 5120/5103, and supports [[Breedsmic temperaments#Hemififths\|hemififths]] temperament.</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>215edo</title></head><body>The <em>215 equal temperament</em> divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 3&amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out.</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>215edo</title></head><body>The <em>215 equal temperament</em> divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 3&amp;53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2410/2400, 5120/5103, and supports <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths</a> temperament.</body></html></pre></div>

← Older revision		Revision as of 18:33, 3 July 2022
Line 1:		Line 1:
	The ''215 equal temperament'' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths\|hemififths]] temperament.		The '''215 equal temperament''' divides the octave into 215 equal parts of 5.581 cents each. It tempers out 4000/3969 and 65625/65536, and the patent val provides the [[Optimal_patent_val\|optimal patent val]] for the 3&53 temperament tempering them both out, and the rank three temperament tempering 4000/3969 out. The 215c val tempers out 2401/2400, 5120/5103, and [[support]]s [[Breedsmic_temperaments#Hemififths\|hemififths]] temperament.

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