378edo - Revision history

ArrowHead294 at 14:48, 20 February 2025

2025-02-20T14:48:41Z

← Older revision		Revision as of 14:48, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|378~~}}		{{ED intro}}

	The equal temperament [[tempering out\|tempers out]] 32805/32768 ([[schisma]]) in the 5-limit and [[3136/3125]] in the 7-limit, so that it [[support]]s [[bischismic]], and in fact provides the [[optimal patent val]]. It tempers out [[441/440]] and [[8019/8000]] in the 11-limit and [[729/728]] and [[1001/1000]] in the 13-limit so that it supports 11- and 13-limit bischismatic, and it also gives the optimal patent val for 13-limit bischismic.		The equal temperament [[tempering out\|tempers out]] 32805/32768 ([[schisma]]) in the 5-limit and [[3136/3125]] in the 7-limit, so that it [[support]]s [[bischismic]], and in fact provides the [[optimal patent val]]. It tempers out [[441/440]] and [[8019/8000]] in the 11-limit and [[729/728]] and [[1001/1000]] in the 13-limit so that it supports 11- and 13-limit bischismatic, and it also gives the optimal patent val for 13-limit bischismic.

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

2023-11-09T14:39:58Z

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

← Older revision		Revision as of 14:39, 9 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The '''378 equal division''' divides the octave into~~ 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.		{{EDO intro\|378}}

	[[~~Category:Equal divisions of~~ the ~~octave\|###~~]] <!-- 3-~~digit number~~ -->		The equal temperament [[tempering out\|tempers out]] 32805/32768 ([[schisma]]) in the 5-limit and [[3136/3125]] in the 7-limit, so that it [[support]]s [[bischismic]], and in fact provides the [[optimal patent val]]. It tempers out [[441/440]] and [[8019/8000]] in the 11-limit and [[729/728]] and [[1001/1000]] in the 13-limit so that it supports 11- and 13-limit bischismatic, and it also gives the optimal patent val for 13-limit bischismic.

			=== Prime harmonics ===
			{{Harmonics in equal\|378}}

			=== Subsets and supersets ===
			Since 378 factors into {{factorization\|378}}, 378edo has subset edos {{EDOs\| 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, and 189 }}.

			[[Category:Bischismic]]

Plumtree: Infobox ET added

2022-10-04T21:53:14Z

Infobox ET added

← Older revision		Revision as of 21:53, 4 October 2022
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			{{Infobox ET}}
	The '''378 equal division''' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.		The '''378 equal division''' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.

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

Fredg999 category edits: Categories

2022-07-03T21:42:17Z

Cmloegcmluin: link to new page for Supports

2022-01-25T17:50:43Z

link to new page for Supports

← Older revision		Revision as of 17:50, 25 January 2022
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	The ''378 equal division'' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it ~~supports~~ [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.		The ''378 equal division'' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.

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 ''378 equal division'' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it supports [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.
	~~This is an imported revision from Wikispaces.~~ The ~~revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2016-12-08 00:07:19 UTC</tt>.<br>~~
	~~: The original revision id was <tt>601677382</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 //378 equal division// divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it supports [[~~Schismatic family~~#Bischismatic\|bischismatic temperament]] and in fact provides the [[optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.~~</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>378edo</title></head><body>The <em>378 equal division</em> divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Bischismatic">bischismatic temperament</a> and in fact provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</body></html></pre></div>

Wikispaces>JosephRuhf: Imported revision 601677382 - Original comment:

2016-12-08T00:07:19Z

**Imported revision 601677382 - Original comment: **

← Older revision		Revision as of 00:07, 8 December 2016
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 01~~:12:32 UTC</tt>.<br>		: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2016-12-08 00:07:19 UTC</tt>.<br>
	: The original revision id was <tt>~~241117695~~</tt>.<br>		: The original revision id was <tt>601677382</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 //378 equal division// divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and ~~31363125~~ in the 7-limit, so that it supports [[Schismatic family#Bischismatic\|bischismatic temperament]] and in fact provides the [[optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</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 //378 equal division// divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it supports [[Schismatic family#Bischismatic\|bischismatic temperament]] and in fact provides the [[optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</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>378edo</title></head><body>The <em>378 equal division</em> divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and ~~31363125~~ in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Bischismatic">bischismatic temperament</a> and in fact provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</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>378edo</title></head><body>The <em>378 equal division</em> divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Bischismatic">bischismatic temperament</a> and in fact provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 241117695 - Original comment:

2011-07-13T01:12:32Z

**Imported revision 241117695 - 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>2011-07-13 01:12:32 UTC</tt>.<br>
: The original revision id was <tt>241117695</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 //378 equal division// divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 31363125 in the 7-limit, so that it supports [[Schismatic family#Bischismatic|bischismatic temperament]] and in fact provides the [[optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</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>378edo</title></head><body>The <em>378 equal division</em> divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 31363125 in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Bischismatic">bischismatic temperament</a> and in fact provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.</body></html></pre></div>

← Older revision		Revision as of 21:42, 3 July 2022
Line 1:		Line 1:
	The ''378 equal division'' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.		The '''378 equal division''' divides the octave into 378 equal parts of 3.175 cents each. It tempers out 32805/32768 in the 5-limit and 3136/3125 in the 7-limit, so that it [[support]]s [[Schismatic_family#Bischismatic\|bischismatic temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. It tempers out 441/440 and 8019/8000 in the 11-limit and 729/728 and 1001/1000 in the 13-limit so that it supports 11 and 13 limit bischismatic, and it also gives the optimal patent val for 13-limit bischismatic.

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