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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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-08 14:18:23 UTC</tt>.<br>
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| : The original revision id was <tt>601730480</tt>.<br>
| | 640edo is [[enfactoring|enfactored]] in the 5-limit, [[tempering out]] the [[vishnuzma]], {{monzo| 23 6 -14 }}, with the same tuning as [[320edo]]. In the 7-limit it tempers out [[19683/19600]] and {{monzo| 16 2 -1 -6 }} and in the 11-limit it tempers out [[540/539]], [[8019/8000]] and {{monzo| 14 -1 -2 -4 1 }}. It provides the [[optimal patent val]] for the rank-3 [[albus]] temperament tempering out 540/539 and 8019/8000, and [[hemipental]], the 255 & 385 temperament. |
| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | === Odd harmonics === |
| <h4>Original Wikitext content:</h4>
| | {{Harmonics in equal|640}} |
| <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 //640 equal divisions// divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, |23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and | 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and | 14 -1 -2 -4 1 >. It provides the [[optimal patent val]] for the rank three [[Cataharry family|albus temperament]] tempering out 540/539 and 8019/8000, and the 125&130 temperament.</pre></div>
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| <h4>Original HTML content:</h4>
| | === Subsets and supersets === |
| <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>640edo</title></head><body>The <em>640 equal divisions</em> divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, |23 6 -14&gt;, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and | 16 2 -1 -6 &gt; and in the 11-limit it tempers out 540/539, 8019/8000 and | 14 -1 -2 -4 1 &gt;. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank three <a class="wiki_link" href="/Cataharry%20family">albus temperament</a> tempering out 540/539 and 8019/8000, and the 125&amp;130 temperament.</body></html></pre></div>
| | Since 640 factors into {{factorization|640}}, 640edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, and 320 }}. |
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| | [[Category:Albus]] |
| | [[Category:Hemipental]] |