587edo: Difference between revisions

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**Imported revision 241257147 - Original comment: **
 
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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>2011-07-13 20:49:03 UTC</tt>.<br>
 
: The original revision id was <tt>241257147</tt>.<br>
587edo is [[consistent]] to the [[7-odd-limit]], but the error of [[harmonic]] [[3/1|3]] is quite large. With good approximations to harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[11/1|11]], and [[13/1|13]], it commends itself as a 2.9.5.7.11.13 [[subgroup]] tuning.  
: 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>
Using the [[patent val]], however, the equal temperament [[tempering out|tempers out]] [[19683/19600]] and [[703125/702464]] in the 7-limit, providing the [[optimal patent val]] for the 19 &amp; 183 temperament and the planar temperament [[cataharry]] tempering out 19683/19600.  
<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 //587 equal division// divides the octave into 587 equal parts of 2.044 cents each. It tempers out 19683/19600 and 703125/702464 in the 7-limit, providing the [[optimal patent val]] for the 19&amp;183 temperament and the planar temperament cataharry tempering out 19683/19600.</pre></div>
=== Odd harmonics ===
<h4>Original HTML content:</h4>
{{Harmonics in equal|587}}
<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;587edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;587 equal division&lt;/em&gt; divides the octave into 587 equal parts of 2.044 cents each. It tempers out 19683/19600 and 703125/702464 in the 7-limit, providing the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the 19&amp;amp;183 temperament and the planar temperament cataharry tempering out 19683/19600.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
=== Subsets and supersets ===
587edo is the 107th [[prime edo]].
 
[[Category:Cataharry]]