187edo: Difference between revisions

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**Imported revision 338473758 - Original comment: **
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.
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>2012-05-22 15:37:25 UTC</tt>.<br>
: The original revision id was <tt>338473758</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>
<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">The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent family#Sensei|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.</pre></div>
<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;187edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for &lt;a class="wiki_link" href="/Sensipent%20family#Sensei"&gt;sensei temperament&lt;/a&gt; which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for sensei temperament which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.