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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>2011-07-14 16:05:54 UTC</tt>.<br>
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| : The original revision id was <tt>241383753</tt>.<br>
| | 771edo is [[consistency|distinctly consistent]] up to the [[21-odd-limit]], with all of the [[prime harmonic]]s to 19 having a flat tendency. |
| : 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>
| | In the 5-limit it [[tempering out|tempers out]] the [[monzisma]], {{monzo| 54 -37 2 }}, and the [[mutt comma]], {{monzo| -44 -3 21 }}; in the 7-limit [[65625/65536]] and [[250047/250000]]; in the 11-limit [[3025/3024]]; in the 13-limit [[4225/4224]] and [[10648/10647]]; in the 17-limit [[833/832]], [[1225/1224]], [[2058/2057]], [[2431/2430]] and [[2601/2600]]; and in the 19-limit [[1445/1444]], 1540/1539, [[1729/1728]], 2926/2925, 3250/3249, 4200/4199 and 5985/5984. It provides the [[optimal patent val]] for the rank-6 temperament tempering out 833/832 and various other temperaments tempering it out. |
| <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 //771 equal division// divides the octave into 771 equal parts of 1.556 cents each. It is uniquely [[consistent]] up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, |54 -37 2>, and |-44 -3 21>; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the [[optimal patent val]] for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.</pre></div>
| | === Prime harmonics === |
| <h4>Original HTML content:</h4>
| | {{Harmonics in equal|771}} |
| <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>771edo</title></head><body>The <em>771 equal division</em> divides the octave into 771 equal parts of 1.556 cents each. It is uniquely <a class="wiki_link" href="/consistent">consistent</a> up to the 21-limit, with all of the primes to 19 having a flat tendency. In the 5-limit it tempers out the monzisma, |54 -37 2&gt;, and |-44 -3 21&gt;; in the 7-limit 65625/65536 and 250047/250000; in the 11-limit 3025/3024; in the 13-limit 4225/4224 and 10648/10647; in the 17-limit 833/832, 1225/1224, 2058/2057, 2431/2430 and 2601/2600; and in the 19-limit 1445/1444, 1540/1539, 1729/1728, 2926/2925, 3250/3249, 4200/4199 and 5985/5984. 771 provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank six temperament tempering out 833/832 and various other temperaments tempering it out.</body></html></pre></div>
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| | === Subsets and supersets === |
| | Since 771 factors into {{factorization|771}}, 771edo contains [[3edo]] and [[257edo]] as subsets. |
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| | [[Category:Horizmic]] |