15601edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo|665]], before [[31867edo|31867]], and has a fifth which is 0.000002 cents stretched.  
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-23 11:52:40 UTC</tt>.<br>
 
: The original revision id was <tt>557205469</tt>.<br>
This system is at its best behavior in the 2.3.19.23 subgroup.  
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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>
=== Prime harmonics ===
<h4>Original Wikitext content:</h4>
{{Harmonics in equal|15601}}
<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 15601 division divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log2(3) past 665, and has a fifth which is 2 x 10^(-6) cents sharp.</pre></div>
 
<h4>Original HTML content:</h4>
=== Subsets and supersets ===
<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;15601edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 15601 division divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log2(3) past 665, and has a fifth which is 2 x 10^(-6) cents sharp.&lt;/body&gt;&lt;/html&gt;</pre></div>
15601edo is the 1819th [[prime edo]].
 
31202edo, which doubles 15601edo, provides a good correction to harmonics 5, 7, 11, 13 and 17. [[78005edo]], which slices each step of 15601edo in five, is notable for an exceptional approximation quality of the 5-limit.
 
 
{{Todo|inline=1|explain its xenharmonic value}}
[[Category:3-limit record edos|#####]] <!-- 5-digit number -->