154edo: Difference between revisions

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**Imported revision 240948923 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: 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&amp;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>
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 &amp; 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]].
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;154edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;&lt;strong&gt;154edo&lt;/strong&gt;&lt;/em&gt; divides the octave into 154 equal parts of 7.79221 cents each. It is a &lt;a class="wiki_link" href="/contorted"&gt;contorted&lt;/a&gt; 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;amp;123 temperament, for which 154 provides a good tuning, though &lt;a class="wiki_link" href="/185edo"&gt;185edo&lt;/a&gt; gives the patent val. In the 13-limit, it tempers out 196/195, 364/363 and 676/675.&lt;br /&gt;
=== Prime harmonics ===
&lt;br /&gt;
{{Harmonics in equal|154}}
154 = 2 * 7 * 11, with divisors &lt;a class="wiki_link" href="/2edo"&gt;2&lt;/a&gt;, &lt;a class="wiki_link" href="/7edo"&gt;7&lt;/a&gt;, &lt;a class="wiki_link" href="/11edo"&gt;11&lt;/a&gt;, &lt;a class="wiki_link" href="/14edo"&gt;14&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt; and &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
=== Subsets and supersets ===
154 = {{factorization|154}}, 154edo has subset edos {{EDOs| 2, 7, 11, 14, 22, and 77 }}.