391edo - Revision history

FloraC at 06:50, 7 June 2026

2026-06-07T06:50:33Z

← Older revision		Revision as of 06:50, 7 June 2026
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	{{ED intro}}		{{ED intro}}

	391edo has a sharp tendency, with [[prime harmonic]]s 3 to 13 all tuned sharp. The equal temperament [[tempering out\|tempers out]] [[5120/5103]], 420175/419904, and 29360128/29296875 in the 7-limit, and provides the [[optimal patent val]] for the [[hemifamity]] temperament, and [[septiquarter]], the {{nowrap\|99 & 292}} temperament. It tempers out [[3025/3024]], [[4000/3993]], [[5632/5625]], and [[6250/6237]] in the 11-limit; and [[676/675]], [[1716/1715]] and [[4225/4224]] in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[alphaquarter]].		391edo has a sharp tendency, with [[prime harmonic]]s 3 to 13 all tuned sharp.

	The 391bcde [[val]] provides a tuning for 11-limit miracle very close to the POTE tuning.		As an equal temperament, it [[tempering out\|tempers out]] [[5120/5103]], [[420175/419904]], and [[29360128/29296875]] in the [[7-limit]], and provides the [[optimal patent val]] for the [[aberschismic]] temperament, and [[septiquarter]], the {{nowrap\| 99 & 292 }} temperament. It tempers out [[3025/3024]], [[4000/3993]], [[5632/5625]], and [[6250/6237]] in the [[11-limit]]; and [[676/675]], [[1716/1715]] and [[4225/4224]] in the [[13-limit]], and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[alphaquarter]].

			The 391bcde [[val]] provides a tuning for 11-limit miracle very close to the [[POTE tuning]].

	=== Odd harmonics ===		=== Odd harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 391 factors into {{~~factorization~~\|~~391~~}}, 391edo contains [[17edo]] and [[23edo]] as subsets.		Since 391 factors into primes as {{nowrap\| 17 × 23}}, 391edo contains [[17edo]] and [[23edo]] as subsets.

	[[Category:Aberschismic]]		[[Category:Aberschismic]]
	[[Category:Septiquarter]]		[[Category:Septiquarter]]
	[[Category:Alphaquarter]]		[[Category:Alphaquarter]]

FloraC: Text replacement - "Category:Hemifamity" to "Category:Aberschismic"

2026-06-06T12:39:16Z

Text replacement - "Category:Hemifamity" to "Category:Aberschismic"

← Older revision		Revision as of 12:39, 6 June 2026
Line 12:		Line 12:
	Since 391 factors into {{factorization\|391}}, 391edo contains [[17edo]] and [[23edo]] as subsets.		Since 391 factors into {{factorization\|391}}, 391edo contains [[17edo]] and [[23edo]] as subsets.

	[[Category:~~Hemifamity~~]]		[[Category:Aberschismic]]
	[[Category:Septiquarter]]		[[Category:Septiquarter]]
	[[Category:Alphaquarter]]		[[Category:Alphaquarter]]

ArrowHead294 at 14:50, 20 February 2025

2025-02-20T14:50:18Z

← Older revision		Revision as of 14:50, 20 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|391~~}}		{{ED intro}}

	391edo has a sharp tendency, with [[prime harmonic]]s 3 to 13 all tuned sharp. The equal temperament [[tempering out\|tempers out]] [[5120/5103]], 420175/419904, and 29360128/29296875 in the 7-limit, and provides the [[optimal patent val]] for the [[hemifamity]] temperament, and [[septiquarter]], the 99 & 292 temperament. It tempers out [[3025/3024]], [[4000/3993]], [[5632/5625]], and [[6250/6237]] in the 11-limit; and [[676/675]], [[1716/1715]] and [[4225/4224]] in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[alphaquarter]].		391edo has a sharp tendency, with [[prime harmonic]]s 3 to 13 all tuned sharp. The equal temperament [[tempering out\|tempers out]] [[5120/5103]], 420175/419904, and 29360128/29296875 in the 7-limit, and provides the [[optimal patent val]] for the [[hemifamity]] temperament, and [[septiquarter]], the {{nowrap\|99 & 292}} temperament. It tempers out [[3025/3024]], [[4000/3993]], [[5632/5625]], and [[6250/6237]] in the 11-limit; and [[676/675]], [[1716/1715]] and [[4225/4224]] in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[alphaquarter]].

	The 391bcde [[val]] provides a tuning for 11-limit miracle very close to the POTE tuning.		The 391bcde [[val]] provides a tuning for 11-limit miracle very close to the POTE tuning.

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

2023-11-06T16:29:43Z

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

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-The '''391 equal division''' divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[Optimal_patent_val|optimal patent val]] for the hemifamity planar temperament and [[Hemifamity_temperaments#Septiquarter|septiquarter]], the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity_temperaments#Alphaquarter|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.
+{{EDO intro|391}}
 [[Category:Hemifamity]]

Plumtree: Infobox ET added

2022-10-04T21:54:18Z

Infobox ET added

← Older revision		Revision as of 21:54, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	The '''391 equal division''' divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemifamity planar temperament and [[Hemifamity_temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity_temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.		The '''391 equal division''' divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemifamity planar temperament and [[Hemifamity_temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity_temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.

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

Fredg999 category edits: Categories

2022-07-03T21:44:47Z

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
Line 1:		Line 1:
	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		The ''391 equal division'' divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemifamity planar temperament and [[Hemifamity_temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity_temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:hemifamity]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-02-07 10:45:19 UTC</tt>.<br>~~
	~~: The original revision id was <tt>299299338</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and [[~~Hemifamity temperaments~~#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[~~Hemifamity temperaments~~#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.~~</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and <a class="wiki_link" href="/Hemifamity%20temperaments#Septiquarter">septiquarter</a>, the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as <a class="wiki_link" href="/Hemifamity%20temperaments#Alphaquarter">alphaquarter</a>. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 299299338 - Original comment:

2012-02-07T10:45:19Z

**Imported revision 299299338 - Original comment: **

← Older revision		Revision as of 10:45, 7 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>2012-02-07 10:45:02 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-02-07 10:45:19 UTC</tt>.<br>
	: The original revision id was <tt>~~299299192~~</tt>.<br>		: The original revision id was <tt>299299338</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and [[Hemifamity+temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and [[Hemifamity temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and [[Hemifamity~~+temperaments~~#Septiquarter\|septiquarter]], the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as <a class="wiki_link" href="/Hemifamity%20temperaments#Alphaquarter">alphaquarter</a>. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and <a class="wiki_link" href="/Hemifamity%20temperaments#Septiquarter">septiquarter</a>, the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as <a class="wiki_link" href="/Hemifamity%20temperaments#Alphaquarter">alphaquarter</a>. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 299299192 - Original comment:

2012-02-07T10:45:02Z

**Imported revision 299299192 - Original comment: **

← Older revision		Revision as of 10:45, 7 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>~~2011~~-11-~~11 16~~:19:39 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-02-07 10:45:02 UTC</tt>.<br>
	: The original revision id was <tt>~~274495490~~</tt>.<br>		: The original revision id was <tt>299299192</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and [[Hemifamity+temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and [[Hemifamity+temperaments#Septiquarter\|septiquarter]], the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as <a class="wiki_link" href="/Hemifamity%20temperaments#Alphaquarter">alphaquarter</a>. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 274495490 - Original comment:

2011-11-11T16:19:39Z

**Imported revision 274495490 - Original comment: **

← Older revision		Revision as of 16:19, 11 November 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-~~13 14~~:51:06 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-11-11 16:19:39 UTC</tt>.<br>
	: The original revision id was <tt>~~241206429~~</tt>.<br>		: The original revision id was <tt>274495490</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103.</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 //391 equal division// divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemifamity planar temperament and the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103.</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>391edo</title></head><body>The <em>391 equal division</em> divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemifamity planar temperament and the 5&amp;94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.</body></html></pre></div>

← Older revision		Revision as of 21:44, 3 July 2022
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	The ''391 equal division'' divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemifamity planar temperament and [[Hemifamity_temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity_temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.		The '''391 equal division''' divides the octave into 391 equal parts of 3.069 cents each. It tempers out 5120/5103 and 420175/419904 in the 7-limit, and provides the [[Optimal_patent_val\|optimal patent val]] for the hemifamity planar temperament and [[Hemifamity_temperaments#Septiquarter\|septiquarter]], the 5&94 temperament. It tempers out 6250/6237, 4000/3993, 5632/5625 and 3025/3024 in the 11-limit and 676/675, 1716/1715 and 4225/4224 in the 13-limit, and provides further optimal patent vals for temperaments tempering out 5120/5103 such as [[Hemifamity_temperaments#Alphaquarter\|alphaquarter]]. The 391bcde val provides a tuning for 11-limit miracle very close to the POTE tuning.
	[[Category:~~hemifamity~~]]
			[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
			[[Category:Hemifamity]]