83edo: Difference between revisions

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**Imported revision 340182620 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 83 equal temperament divides the octave into 83 equal parts of 14.458 cents each. The 3 is six and  a half cents sharp and the 5 four cents sharp, with 7, 11, and 13 more accurate but a little flat. It tempers out 15625/15552 in the 5-limit and 686/675, 4000/3969 and 6144/6125 in the 7-limit, and provides the optimal patent val for the 7-limit 27&amp;56 temperament with wedgie &lt;&lt;5 18 17 17 13 -11||. In the 11-limit it tempers out 121/120, 176/175 and 385/384, and in the 13-limit 91/90, 169/168 and 196/195, and it provides the optimal patent val for the 11-limit 22&amp;61 temperament and the 13-limit 15&amp;83 temperament. 83 is the 23rd prime number.
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>2012-05-28 14:38:01 UTC</tt>.<br>
: The original revision id was <tt>340182620</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 83 equal temperament divides the octave into 83 equal parts of 14.458 cents each. The 3 is six and  a half cents sharp and the 5 four cents sharp, with 7, 11, and 13 more accurate but a little flat. It tempers out 15625/15552 in the 5-limit and 686/675, 4000/3969 and 6144/6125 in the 7-limit, and provides the optimal patent val for the 7-limit 27&amp;56 temperament with wedgie &lt;&lt;5 18 17 17 13 -11||. In the 11-limit it tempers out 121/120, 176/175 and 385/384, and in the 13-limit 91/90, 169/168 and 196/195, and it provides the optimal patent val for the 11-limit 22&amp;61 temperament and the 13-limit 15&amp;83 temperament. 83 is the 23rd prime number.</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;83edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 83 equal temperament divides the octave into 83 equal parts of 14.458 cents each. The 3 is six and  a half cents sharp and the 5 four cents sharp, with 7, 11, and 13 more accurate but a little flat. It tempers out 15625/15552 in the 5-limit and 686/675, 4000/3969 and 6144/6125 in the 7-limit, and provides the optimal patent val for the 7-limit 27&amp;amp;56 temperament with wedgie &amp;lt;&amp;lt;5 18 17 17 13 -11||. In the 11-limit it tempers out 121/120, 176/175 and 385/384, and in the 13-limit 91/90, 169/168 and 196/195, and it provides the optimal patent val for the 11-limit 22&amp;amp;61 temperament and the 13-limit 15&amp;amp;83 temperament. 83 is the 23rd prime number.&lt;/body&gt;&lt;/html&gt;</pre></div>