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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:genewardsmith|genewardsmith]] and made on <tt>2013-09-09 13:12:40 UTC</tt>.<br>
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| : The original revision id was <tt>449703270</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">**271 EDO** divides the [[octave]] into 271 [[equal]] intervals, each 4.428 [[cent]]s in size. It tempers out 4000/3969 and 65625/65536 in the 7-limit, 896/891 and 1375/1372 in the 11-limit, and 352/351, 364/363, 676/675, 1575/1573 and 2200/2197 in the 13-limit. It is an optimal patent val by some measures for the 13-limit pentacircle temperament, tempering out 352/351 and 364/363 on the 2.11/7.13/7 subgroup of the 13-limit.
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| =Scales= | | == Theory == |
| [[pepperoni7]] | | 271edo is the highest edo where the [[3/2|perfect fifth]] has greater absolute error than [[12edo]]. It is in[[consistent]] in the [[5-odd-limit]]. Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[4000/3969]] and [[65625/65536]] in the 7-limit, [[896/891]] and 1375/1372 in the 11-limit, and [[352/351]], [[364/363]], [[676/675]], [[1575/1573]] and [[2200/2197]] in the 13-limit. It is the [[optimal patent val]] for the [[pepperoni]] temperament, tempering out 352/351 and 364/363 on the 2.3.11/7.13/7 [[subgroup]] of the 13-limit. |
| [[pepperoni12]] | | |
| [[cantonpenta]]</pre></div> | | === Odd harmonics === |
| <h4>Original HTML content:</h4>
| | {{Harmonics in equal|271}} |
| <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>271edo</title></head><body><strong>271 EDO</strong> divides the <a class="wiki_link" href="/octave">octave</a> into 271 <a class="wiki_link" href="/equal">equal</a> intervals, each 4.428 <a class="wiki_link" href="/cent">cent</a>s in size. It tempers out 4000/3969 and 65625/65536 in the 7-limit, 896/891 and 1375/1372 in the 11-limit, and 352/351, 364/363, 676/675, 1575/1573 and 2200/2197 in the 13-limit. It is an optimal patent val by some measures for the 13-limit pentacircle temperament, tempering out 352/351 and 364/363 on the 2.11/7.13/7 subgroup of the 13-limit.<br />
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| <br />
| | === Subsets and supersets === |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
| | 271edo is the 58th [[prime edo]]. |
| <a class="wiki_link" href="/pepperoni7">pepperoni7</a><br />
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| <a class="wiki_link" href="/pepperoni12">pepperoni12</a><br />
| | == Scales == |
| <a class="wiki_link" href="/cantonpenta">cantonpenta</a></body></html></pre></div>
| | * [[Pepperoni7]] |
| | * [[Pepperoni12]] |
| | * [[Cantonpenta]] |
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| | [[Category:Pepperoni]] |