2190edo: Difference between revisions

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**Imported revision 556819719 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 2190 equal division divides the octave into 2190 equal parts of 0.5479 cents each. It is is a very strong 13-limit system; no smaller division has a smaller 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], and nothing beats it until [[2684edo|2684]]. A basis for the 13-limit commas is {9801/9800, 10648/10647, 105644/105625, 140625/140608, 196625/196608}; also tempered out are 123201/123200 and 151263/151250.
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>2015-08-17 14:09:47 UTC</tt>.<br>
: The original revision id was <tt>556819719</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 2190 equal division divides the octave into 2190 equal parts of 0.5479 cents each. It is is a very strong 13-limit system; no smaller division has a smaller 13-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]], and nothing beats it until [[2684edo|2684]]. A basis for the 13-limit commas is {9801/9800, 10648/10647, 105644/105625, 140625/140608, 196625/196608}; also tempered out are 123201/123200 and 151263/151250.


2160 factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, [[730edo|730]].</pre></div>
2160 factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, [[730edo|730]].
<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;2190edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 2190 equal division divides the octave into 2190 equal parts of 0.5479 cents each. It is is a very strong 13-limit system; no smaller division has a smaller 13-limit &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness"&gt;relative error&lt;/a&gt;, and nothing beats it until &lt;a class="wiki_link" href="/2684edo"&gt;2684&lt;/a&gt;. A basis for the 13-limit commas is {9801/9800, 10648/10647, 105644/105625, 140625/140608, 196625/196608}; also tempered out are 123201/123200 and 151263/151250.&lt;br /&gt;
&lt;br /&gt;
2160 factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, &lt;a class="wiki_link" href="/730edo"&gt;730&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>