381edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave" to "Octave-reduced form, reduced to the first half-octave"

2026-03-13T13:34:35Z

Text replacement - "Octave-reduced form, reduced to the first half-octave" to "Octave-reduced form, reduced to the first half-octave"

← Older revision		Revision as of 13:34, 13 March 2026
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	\| [[Nessafof]]		\| [[Nessafof]]
	\|}		\|}
	<nowiki/>* [[Normal forms\|Octave-reduced form]], reduced to the first half-octave, and [[Normal forms\|minimal form]] in parentheses if distinct		<nowiki/>* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[Normal forms\|minimal form]] in parentheses if distinct

	[[Category:Porwell]]		[[Category:Porwell]]
	[[Category:Nessafof]]		[[Category:Nessafof]]

FloraC: Expand

2025-10-24T11:03:51Z

Expand

@@ Line 2: / Line 2: @@
 {{ED intro}}
 edo is [[consistent]] to the [[13-odd-limit]] and almost the [[15-odd-limit]]; the only inconsistently mapped intervals in the 15-odd-limit are [[15/11]] and its [[octave complement]]. It has a sharp tendency, with odd [[harmonic]]s 3 through 15 all tuned sharp except for 11, which is very slightly flat.
@@ Line 11: / Line 12: @@
 === Subsets and supersets ===
 Since 381 factors into primes as {{nowrap| 3 × 127 }}, 381edo contains [[3edo]] and [[127edo]] as subsets.
 [[Category:Porwell]]
 [[Category:Nessafof]]

FloraC: Expand

2025-10-24T10:44:10Z

Expand

← Older revision		Revision as of 10:44, 24 October 2025
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	{{ED intro}}		{{ED intro}}

	381edo is [[consistent]] to the [[13-odd-limit]] ~~with~~ a sharp tendency. It [[tempering out\|tempers out]] the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 ([[porwell comma]]) and 250047/250000 ([[landscape comma]]) in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 99 &~~amp;~~ 282 temperament tempering out it and the landscape comma 250047/250000.		381edo is [[consistent]] to the [[13-odd-limit]] and almost the [[15-odd-limit]]; the only inconsistently mapped intervals in the 15-odd-limit are [[15/11]] and its [[octave complement]]. It has a sharp tendency, with odd [[harmonic]]s 3 through 15 all tuned sharp except for 11, which is very slightly flat.

			As an equal temperament, it [[tempering out\|tempers out]] the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 ([[porwell comma]]) and 250047/250000 ([[landscape comma]]) in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the {{nowrap\| 99 & 282 }} temperament tempering out it and the landscape comma 250047/250000.

	=== Prime harmonics ===		=== Prime harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 381 factors into {{~~factorization~~\|~~381~~}}, 381edo contains [[3edo]] and [[127edo]] as subsets.		Since 381 factors into primes as {{nowrap\| 3 × 127 }}, 381edo contains [[3edo]] and [[127edo]] as subsets.

	[[Category:Porwell]]		[[Category:Porwell]]
	[[Category:Nessafof]]		[[Category:Nessafof]]

ArrowHead294 at 14:49, 20 February 2025

2025-02-20T14:49:05Z

← Older revision		Revision as of 14:49, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|381~~}}		{{ED intro}}

	381edo is [[consistent]] to the [[13-odd-limit]] with a sharp tendency. ~~The equal temperament~~ [[tempering out\|tempers out]] the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 ([[porwell comma]]) and 250047/250000 ([[landscape comma]]) in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 99 & 282 temperament tempering out it and the landscape comma 250047/250000.		381edo is [[consistent]] to the [[13-odd-limit]] with a sharp tendency. It [[tempering out\|tempers out]] the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 ([[porwell comma]]) and 250047/250000 ([[landscape comma]]) in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 99 & 282 temperament tempering out it and the landscape comma 250047/250000.

	=== Prime harmonics ===		=== Prime harmonics ===

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

2023-11-09T14:11:08Z

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

← Older revision		Revision as of 14:11, 9 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]],~~ {{~~monzo~~\| ~~24 -21 4~~ }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.		{{EDO intro\|381}}

	[[~~Category:Equal divisions of~~ the ~~octave~~\|~~###~~]] <!-- 3-~~digit number -->~~		381edo is [[consistent]] to the [[13-odd-limit]] with a sharp tendency. The equal temperament [[tempering out\|tempers out]] the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 ([[porwell comma]]) and 250047/250000 ([[landscape comma]]) in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 99 & 282 temperament tempering out it and the landscape comma 250047/250000.

			=== Prime harmonics ===
			{{Harmonics in equal\|381\|intervals=prime}}

			=== Subsets and supersets ===
			Since 381 factors into {{factorization\|381}}, 381edo contains [[3edo]] and [[127edo]] as subsets.

			[[Category:Porwell]]
			[[Category:Nessafof]]

Plumtree: Infobox ET added

2022-10-04T21:53:41Z

Infobox ET added

← Older revision		Revision as of 21:53, 4 October 2022
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			{{Infobox ET}}
	'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.		'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.

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

Fredg999 category edits: Sort key

2022-07-03T21:43:59Z

Sort key

← Older revision		Revision as of 21:43, 3 July 2022
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	'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.		'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.

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

Xenwolf: lc monzo

2021-01-17T12:11:34Z

lc monzo

← Older revision		Revision as of 12:11, 17 January 2021
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	'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{~~Monzo~~\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.		'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

Xenwolf: formatting, links, cat

2020-12-25T19:59:10Z

formatting, links, cat

← Older revision		Revision as of 19:59, 25 December 2020
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	~~The~~ ''~~381 equal division~~'' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the vulture comma, \|24 -21 4~~>~~, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[~~Optimal_patent_val\|~~optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[~~Porwell_temperaments#Nessafof\|~~nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.		'''381edo''' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the [[vulture comma]], {{Monzo\| 24 -21 4 }}, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.

			[[Category:Equal divisions of the octave]]

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 ''381 equal division'' divides the octave into 381 equal parts of 3.150 cents each. It tempers out the vulture comma, \|24 -21 4>, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[Optimal_patent_val\|optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[Porwell_temperaments#Nessafof\|nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.
	~~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>2011-08-18 14:41:37 UTC</tt>.<br>~~
	~~: The original revision id was <tt>246765587</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 //381 equal division// divides the octave into 381 equal parts of 3.150 cents each. It tempers out the vulture comma, \|24 -21 4>, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the [[optimal patent val]] for the porwell planar temperament tempering out 6144/6125, and [[~~Porwell temperaments~~#Nessafof\|nessafof]], the 15&69 tempering out it and the landscape comma 250047/250000.~~</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>381edo</title></head><body>The <em>381 equal division</em> divides the octave into 381 equal parts of 3.150 cents each. It tempers out the vulture comma, \|24 -21 4&gt;, in the 5-limit and 6144/6125 and 250047/250000 in the 7-limit. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the porwell planar temperament tempering out 6144/6125, and <a class="wiki_link" href="/Porwell%20temperaments#Nessafof">nessafof</a>, the 15&amp;69 tempering out it and the landscape comma 250047/250000.</body></html></pre></div>