142edo: Difference between revisions

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**Imported revision 155502483 - 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>2010-08-06 22:00:03 UTC</tt>.<br>
 
: The original revision id was <tt>155502483</tt>.<br>
The equal temperament [[tempering out|tempers out]] 32805/32768 ([[schisma]]) in the 5-limit; [[1728/1715]], [[3136/3125]], and [[16875/16807]] in the 7-limit; [[176/175]], [[540/539]] and 1375/1372 in the 11-limit. It is an excellent tuning for [[orwellismic]], the rank-3 temperament tempering out 1728/1715, and a good one for [[guanyin]], the 11-limit [[extension]] also tempering out 176/175. It is also excellent for [[semisept]], the 31 &amp; 111 temperament tempering out 1728/1715 and 3136/3125 and the 53 &amp; 89 temperament tempering out both 1728/1715 and 32805/32768.
: 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>
=== Prime harmonics ===
<h4>Original Wikitext content:</h4>
{{Harmonics in equal|142}}
<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">//142edo// divides the octave into 142 equal parts, each of size 8.45 cents. It tempers out 1728/1715, 3136/3125, 16875/16807, 32805/32768, 176/175, 540/539 and 1375/1372. It is an excellent tuning for the 7-limit rank three temperament tempering out 1728/1715 and a good one for the 11-limit temperament also tempering out 176/175. It is also excellent for semisept, the 31&amp;111 temperament tempering out 1728/1715 and 3136/3125 and the 53&amp;89 temperament tempering out both 1728/1715 and 32805/32768.</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;142edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;142edo&lt;/em&gt; divides the octave into 142 equal parts, each of size 8.45 cents. It tempers out 1728/1715, 3136/3125, 16875/16807, 32805/32768, 176/175, 540/539 and 1375/1372. It is an excellent tuning for the 7-limit rank three temperament tempering out 1728/1715 and a good one for the 11-limit temperament also tempering out 176/175. It is also excellent for semisept, the 31&amp;amp;111 temperament tempering out 1728/1715 and 3136/3125 and the 53&amp;amp;89 temperament tempering out both 1728/1715 and 32805/32768.&lt;/body&gt;&lt;/html&gt;</pre></div>
142edo has subset edos [[2edo]] and [[71edo]].