87edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 149422583 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 186508351 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2010-06-17 18:22:27 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-08 15:39:29 UTC</tt>.<br>
: The original revision id was <tt>149422583</tt>.<br>
: The original revision id was <tt>186508351</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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224&amp;87 &lt;&lt;27 8 -67 -1 5 ...||
224&amp;87 &lt;&lt;27 8 -67 -1 5 ...||


87et is a particularly good tuning for rodan temperament.</pre></div>
87et is a particularly good tuning for rodan temperament. The 8/7 generator of 17/87 is a remarkable 0.00062 cents sharper than the 13-limit [[POTE]] generator and is close to the 11-limit POTE generator also.</pre></div>
<h4>Original HTML content:</h4>
<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;87edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 87 equal temperament, often abbreviated 87-tET, 87-EDO, or 87-ET, is the scale derived by dividing the octave into 87 equally-sized steps, where each step represents a frequency ratio of 13.79 cents. It is solid as both a 13-limit (or 15 odd limit) and as a 5-limit system, and of course does well enough in any limit in between. It represents the 13-limit tonality diamond both uniquely and consistently, and is the smallest equal temperament to do so.&lt;br /&gt;
<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;87edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 87 equal temperament, often abbreviated 87-tET, 87-EDO, or 87-ET, is the scale derived by dividing the octave into 87 equally-sized steps, where each step represents a frequency ratio of 13.79 cents. It is solid as both a 13-limit (or 15 odd limit) and as a 5-limit system, and of course does well enough in any limit in between. It represents the 13-limit tonality diamond both uniquely and consistently, and is the smallest equal temperament to do so.&lt;br /&gt;
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224&amp;amp;87 &amp;lt;&amp;lt;27 8 -67 -1 5 ...||&lt;br /&gt;
224&amp;amp;87 &amp;lt;&amp;lt;27 8 -67 -1 5 ...||&lt;br /&gt;
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87et is a particularly good tuning for rodan temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>
87et is a particularly good tuning for rodan temperament. The 8/7 generator of 17/87 is a remarkable 0.00062 cents sharper than the 13-limit &lt;a class="wiki_link" href="/POTE"&gt;POTE&lt;/a&gt; generator and is close to the 11-limit POTE generator also.&lt;/body&gt;&lt;/html&gt;</pre></div>