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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>2012-05-20 15:37:36 UTC</tt>.<br>
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| : The original revision id was <tt>337607418</tt>.<br>
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| : 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>
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| <h4>Original Wikitext content:</h4>
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| <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 //446 equal division// divides the octave into 446 equal parts of 2.691 cents each. It tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the hemimean temperament tempering out 3136/3125 and [[Hemimean clan#Sengagen|sengagen]], the 49&50 temperament. In the 11-limit it tempers out 9801/9800 and gives the optimal patent val for the 50&198 temperament.
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| **PRIME FACTORIZATION:**
| | 446edo is only [[consistent]] to the [[5-odd-limit]] and the error of [[harmonic]] [[5/1|5]] is quite large. The equal temperament [[tempering out|tempers out]] [[3136/3125]] and 420175/419904 in the 7-limit, and provides the [[optimal patent val]] for the [[hemimean]] temperament tempering out 3136/3125, and [[sengagen]], the {{nowrap|99 & 347}} temperament. In the 11-limit it tempers out [[9801/9800]] and gives the optimal patent val for the 198 & 248 temperament. |
| [[2edo|2]] * [[223edo|223]]</pre></div> | | |
| <h4>Original HTML content:</h4>
| | === Odd harmonics === |
| <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>446edo</title></head><body>The <em>446 equal division</em> divides the octave into 446 equal parts of 2.691 cents each. It tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the hemimean temperament tempering out 3136/3125 and <a class="wiki_link" href="/Hemimean%20clan#Sengagen">sengagen</a>, the 49&amp;50 temperament. In the 11-limit it tempers out 9801/9800 and gives the optimal patent val for the 50&amp;198 temperament.<br />
| | {{Harmonics in equal|446}} |
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| <strong>PRIME FACTORIZATION:</strong><br />
| | === Subsets and supersets === |
| <a class="wiki_link" href="/2edo">2</a> * <a class="wiki_link" href="/223edo">223</a></body></html></pre></div>
| | Since 446 factors into {{factorization|446}}, 446edo contains [[2edo]] and [[223edo]] as subsets. |
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| | [[Category:Hemimean]] |
| | [[Category:Sengagen]] |