80edo: Difference between revisions

Wikispaces>phylingual
**Imported revision 353015932 - Original comment: **
Wikispaces>phylingual
**Imported revision 353605850 - 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:phylingual|phylingual]] and made on <tt>2012-07-13 14:14:52 UTC</tt>.<br>
: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-17 20:42:07 UTC</tt>.<br>
: The original revision id was <tt>353015932</tt>.<br>
: The original revision id was <tt>353605850</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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=Intervals of 80edo=  
=Intervals of 80edo=  
||~ degrees ||~ cents ||~ 19 prime limit ratios ||
||~ degrees ||~ cents ||~ ratios* ||
|| 0 || 0 || 1/1 ||
|| 0 || 0 || 1/1 ||
|| 1 || 15 || 64/63 ||
|| 1 || 15 || 64/63 ||
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|| 38 || 570 || 18/13 ||
|| 38 || 570 || 18/13 ||
|| 39 || 585 || 7/5 ||
|| 39 || 585 || 7/5 ||
|| 40 || 600 || 17/12, 24/17 ||</pre></div>
|| 40 || 600 || 17/12, 24/17 ||
*based on treating 80edo as a 19-limit temperament; other approaches are possible.</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;80edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;80 equal temperament&lt;/em&gt;, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. 80et is the first equal temperament that represents the &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; &lt;a class="wiki_link" href="/tonality%20diamond"&gt;tonality diamond&lt;/a&gt; &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt;ly (it barely manages to do so), and in fact represents the 21 odd limit tonality diamond consistently also.&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;80edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;80 equal temperament&lt;/em&gt;, often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. 80et is the first equal temperament that represents the &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; &lt;a class="wiki_link" href="/tonality%20diamond"&gt;tonality diamond&lt;/a&gt; &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt;ly (it barely manages to do so), and in fact represents the 21 odd limit tonality diamond consistently also.&lt;br /&gt;
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         &lt;th&gt;cents&lt;br /&gt;
         &lt;th&gt;cents&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;19 prime limit ratios&lt;br /&gt;
         &lt;th&gt;ratios*&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
*based on treating 80edo as a 19-limit temperament; other approaches are possible.&lt;/body&gt;&lt;/html&gt;</pre></div>