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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | ''81edo'' divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for [[Meantone_family|meantone]] and related temperaments and is the [[Optimal_patent_val|optimal patent val]] for a number of them. In particular it is the optimal patent val for 5-limit meantone, 7-limit meantone, 11-limit meanpop, 13-limit meanpop, and the rank three temperament [[Didymus_rank_three_family|erato]]. The electronic music pioneer [http://daphneoram.org/2012/01/13/letter-from-yehudi-menuhin/ Daphne Oram] was interested in 81edo. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-22 17:51:11 UTC</tt>.<br>
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| : The original revision id was <tt>294309150</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">//81edo// divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for [[Meantone family|meantone]] and related temperaments and is the [[optimal patent val]] for a number of them. In particular it is the optimal patent val for 5-limit meantone, 7-limit meantone, 11-limit meanpop, 13-limit meanpop, and the rank three temperament [[Didymus rank three family|erato]]. The electronic music pioneer [[http://daphneoram.org/2012/01/13/letter-from-yehudi-menuhin/|Daphne Oram]] was interested in 81edo.
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| =Commas= | | =Commas= |
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| 5-limit commas: 81/80, |-48 1 20> | | 5-limit commas: 81/80, |-48 1 20> |
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| 13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591 | | 13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591 |
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| | =Scales= |
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| =Scales=
| | [[leantone6|leantone6]] |
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| [[leantone6]] | | [[leantone7|leantone7]] |
| [[leantone7]] | | |
| [[leantone13]]</pre></div> | | [[leantone13|leantone13]] [[Category:81edo]] |
| <h4>Original HTML content:</h4>
| | [[Category:edo]] |
| <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>81edo</title></head><body><em>81edo</em> divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for <a class="wiki_link" href="/Meantone%20family">meantone</a> and related temperaments and is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for a number of them. In particular it is the optimal patent val for 5-limit meantone, 7-limit meantone, 11-limit meanpop, 13-limit meanpop, and the rank three temperament <a class="wiki_link" href="/Didymus%20rank%20three%20family">erato</a>. The electronic music pioneer <a class="wiki_link_ext" href="http://daphneoram.org/2012/01/13/letter-from-yehudi-menuhin/" rel="nofollow">Daphne Oram</a> was interested in 81edo.<br />
| | [[Category:erato]] |
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| | [[Category:meanpop]] |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commas</h1>
| | [[Category:meantone]] |
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| | [[Category:theory]] |
| 5-limit commas: 81/80, |-48 1 20&gt;<br />
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| 7-limit commas: 81/80, 126/125, |-24 1 0 8&gt;<br />
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| 11-limit commas: 81/80, 126/125, 385/384, 12005/11979<br />
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| 13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591<br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:2 -->Scales</h1>
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| <a class="wiki_link" href="/leantone6">leantone6</a><br />
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| <a class="wiki_link" href="/leantone7">leantone7</a><br />
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| <a class="wiki_link" href="/leantone13">leantone13</a></body></html></pre></div>
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81edo divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for meantone and related temperaments and is the optimal patent val for a number of them. In particular it is the optimal patent val for 5-limit meantone, 7-limit meantone, 11-limit meanpop, 13-limit meanpop, and the rank three temperament erato. The electronic music pioneer Daphne Oram was interested in 81edo.
Commas
5-limit commas: 81/80, |-48 1 20>
7-limit commas: 81/80, 126/125, |-24 1 0 8>
11-limit commas: 81/80, 126/125, 385/384, 12005/11979
13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591
Scales
leantone6
leantone7
leantone13