154edo - Revision history

ArrowHead294 at 17:07, 18 February 2025

2025-02-18T17:07:58Z

← Older revision		Revision as of 17:07, 18 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	154edo is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out [[126/125]], [[1029/1024]] and [[243/242]], which define the 11-limit 31 & 123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the [[optimal patent val]]. In the 13-limit, it tempers out [[196/195]], [[364/363]] and [[676/675]].		154edo is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out [[126/125]], [[1029/1024]] and [[243/242]], which define the 11-limit 31 & 123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the [[optimal patent val]]. In the 13-limit, it tempers out [[196/195]], [[364/363]] and [[676/675]].

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

2024-05-11T09:19:02Z

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

← Older revision		Revision as of 09:19, 11 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	The '''154edo''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		{{EDO intro}}

	154 = 2 * 7 * 11, ~~with divisors~~ [[~~2edo\|2~~]], [[~~7edo\|7~~]], [[~~11edo\|11~~]], [[~~14edo\|14~~]], [[~~22edo\|22~~]] and [[~~77edo\|77~~]].		154edo is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out [[126/125]], [[1029/1024]] and [[243/242]], which define the 11-limit 31 & 123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the [[optimal patent val]]. In the 13-limit, it tempers out [[196/195]], [[364/363]] and [[676/675]].

	~~[[Category:Equal divisions of the octave~~\|~~###]] <!-- 3-digit number -->~~		=== Prime harmonics ===
			{{Harmonics in equal\|154}}

			=== Subsets and supersets ===
			154 = {{factorization\|154}}, 154edo has subset edos {{EDOs\| 2, 7, 11, 14, 22, and 77 }}.

Aura at 19:08, 4 October 2022

2022-10-04T19:08:48Z

← Older revision		Revision as of 19:08, 4 October 2022
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			{{Infobox ET}}
	The '''154edo''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		The '''154edo''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

Fredg999 category edits: Categories

2022-07-02T21:09:17Z

Cmloegcmluin: remove temporary link to defactoring

2021-11-12T23:10:20Z

remove temporary link to defactoring

← Older revision		Revision as of 23:10, 12 November 2021
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	The '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] ~~(or [[enfactored]])~~ 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		The '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

	154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].		154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].

Cmloegcmluin: add link for defactoring

2021-09-29T19:43:25Z

add link for defactoring

← Older revision		Revision as of 19:43, 29 September 2021
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	The '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[~~contorted\|~~contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		The '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] (or [[enfactored]]) 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

	154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].		154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].

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 '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted\|contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:Osmiorisbendi\|Osmiorisbendi]] and made on <tt>2011-07-12 03:04:47 UTC</tt>.<br>~~
	~~: The original revision id was <tt>240948923</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 //154edo// divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

	154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].~~</pre></div>~~		154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].
	~~<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>154edo</title></head><body>The <em><strong>154edo</strong></em> divides the octave into 154 equal parts of 7.79221 cents each. It is a <a class="wiki_link" href="/contorted">contorted</a> 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&amp;123 temperament, for which 154 provides a good tuning, though <a class="wiki_link" href="/185edo">185edo</a> gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.<br />
	~~<br />~~
	154 = 2 * 7 * 11, with divisors <a class="wiki_link" href="/2edo">2</a>, <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/11edo">11</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/22edo">22</a> and <a class="wiki_link" href="/77edo">77</a>.</body></html></pre></div>

Wikispaces>Osmiorisbendi: Imported revision 240948923 - Original comment:

2011-07-12T03:04:47Z

**Imported revision 240948923 - Original comment: **

← Older revision		Revision as of 03:04, 12 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:Osmiorisbendi\|Osmiorisbendi]] and made on <tt>2011-07-~~01 00~~:47~~:08~~ UTC</tt>.<br>		: This revision was by author [[User:Osmiorisbendi\|Osmiorisbendi]] and made on <tt>2011-07-12 03:04:47 UTC</tt>.<br>
	: The original revision id was <tt>~~239611519~~</tt>.<br>		: The original revision id was <tt>240948923</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>
Line 8:		Line 8:
	<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 //154edo// divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		<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 //154edo// divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

	154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</pre></div>		154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].</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>154edo</title></head><body>The <em><strong>154edo</strong></em> divides the octave into 154 equal parts of 7.79221 cents each. It is a <a class="wiki_link" href="/contorted">contorted</a> 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&amp;123 temperament, for which 154 provides a good tuning, though <a class="wiki_link" href="/185edo">185edo</a> gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.<br />		<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>154edo</title></head><body>The <em><strong>154edo</strong></em> divides the octave into 154 equal parts of 7.79221 cents each. It is a <a class="wiki_link" href="/contorted">contorted</a> 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&amp;123 temperament, for which 154 provides a good tuning, though <a class="wiki_link" href="/185edo">185edo</a> gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.<br />
	<br />		<br />
	154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</body></html></pre></div>		154 = 2 * 7 * 11, with divisors <a class="wiki_link" href="/2edo">2</a>, <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/11edo">11</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/22edo">22</a> and <a class="wiki_link" href="/77edo">77</a>.</body></html></pre></div>

Wikispaces>Osmiorisbendi: Imported revision 239611519 - Original comment:

2011-07-01T00:47:08Z

**Imported revision 239611519 - Original comment: **

Wikispaces>genewardsmith: Imported revision 214229390 - Original comment:

2011-03-26T15:06:09Z

**Imported revision 214229390 - 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>2011-03-26 15:06:09 UTC</tt>.<br>
: The original revision id was <tt>214229390</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 //154 equal division// divides the octave into 154 equal parts of 7.792 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</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>154edo</title></head><body>The <em>154 equal division</em> divides the octave into 154 equal parts of 7.792 cents each. It is a <a class="wiki_link" href="/contorted">contorted</a> 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&amp;123 temperament, for which 154 provides a good tuning, though <a class="wiki_link" href="/185edo">185edo</a> gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.<br />
<br />
154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</body></html></pre></div>

← Older revision		Revision as of 21:09, 2 July 2022
Line 1:		Line 1:
	The '''''154edo''''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		The '''154edo''' divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo\|185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

	154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].		154 = 2 * 7 * 11, with divisors [[2edo\|2]], [[7edo\|7]], [[11edo\|11]], [[14edo\|14]], [[22edo\|22]] and [[77edo\|77]].

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

← Older revision		Revision as of 00:47, 1 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>2011-03-~~26 15~~:06:09 UTC</tt>.<br>		: This revision was by author [[User:Osmiorisbendi\|Osmiorisbendi]] and made on <tt>2011-07-01 00:47:08 UTC</tt>.<br>
	: The original revision id was <tt>~~214229390~~</tt>.<br>		: The original revision id was <tt>239611519</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 //~~154 equal division~~// divides the octave into 154 equal parts of 7.~~792~~ cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.		<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 //154edo// divides the octave into 154 equal parts of 7.79221 cents each. It is a [[contorted]] 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&123 temperament, for which 154 provides a good tuning, though [[185edo]] gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.

	154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</pre></div>		154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</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>154edo</title></head><body>The <em>~~154 equal division~~</em> divides the octave into 154 equal parts of 7.~~792~~ cents each. It is a <a class="wiki_link" href="/contorted">contorted</a> 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&amp;123 temperament, for which 154 provides a good tuning, though <a class="wiki_link" href="/185edo">185edo</a> gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.<br />		<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>154edo</title></head><body>The <em><strong>154edo</strong></em> divides the octave into 154 equal parts of 7.79221 cents each. It is a <a class="wiki_link" href="/contorted">contorted</a> 77et in the 7-limit; in the 11-limit, it tempers out 126/125, 1029/1024 and 243/242, which define the 11-limit 31&amp;123 temperament, for which 154 provides a good tuning, though <a class="wiki_link" href="/185edo">185edo</a> gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.<br />
	<br />		<br />
	154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</body></html></pre></div>		154 = 2 * 7 * 11, with divisors 2, 7, 11, 14, 22 and 77.</body></html></pre></div>