81edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 207530566 - Original comment: **
Wikispaces>hstraub
**Imported revision 238164727 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-05 00:56:42 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-06-22 09:57:28 UTC</tt>.<br>
: The original revision id was <tt>207530566</tt>.<br>
: The original revision id was <tt>238164727</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
<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]].
<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]].
=Commas=


5-limit commas: 81/80, |-48 1 20&gt;
5-limit commas: 81/80, |-48 1 20&gt;
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11-limit commas: 81/80, 126/125, 385/384, 12005/11979
11-limit commas: 81/80, 126/125, 385/384, 12005/11979


13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591</pre></div>
13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591
 
=Scales=
 
[[leantone6]]
[[leantone7]]
[[leantone13]]</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;81edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;81edo&lt;/em&gt; divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; and related temperaments and is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; 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 &lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;erato&lt;/a&gt;.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;81edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;81edo&lt;/em&gt; divides the octave into 81 steps of 14.815 cents each. It is notable as a tuning for &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt; and related temperaments and is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; 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 &lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;erato&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Commas&lt;/h1&gt;
&lt;br /&gt;
5-limit commas: 81/80, |-48 1 20&amp;gt;&lt;br /&gt;
5-limit commas: 81/80, |-48 1 20&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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11-limit commas: 81/80, 126/125, 385/384, 12005/11979&lt;br /&gt;
11-limit commas: 81/80, 126/125, 385/384, 12005/11979&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591&lt;/body&gt;&lt;/html&gt;</pre></div>
13-limit commas: 81/80, 105/104, 144/143, 196/195, 6655/6591&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Scales&lt;/h1&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/leantone6"&gt;leantone6&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/leantone7"&gt;leantone7&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/leantone13"&gt;leantone13&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>