38edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 212589332 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 212589932 - 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>2011-03-21 18: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-21 18:33:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>212589932</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> | ||
<h4>Original Wikitext content:</h4> | <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">//38edo// divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel [[19edo]]s. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 | <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">//38edo// divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel [[19edo]]s. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 and 15625/15552. In the 7-limit, we can add 50/49, and tempering out 81/80 and 50/49 gives [[Meantone family|injera temperament]], for which 38 is the [[optimal patent val]]. In the 11-limit, we can add 121/120 and 176/175.</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"><html><head><title>38edo</title></head><body><em>38edo</em> divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel <a class="wiki_link" href="/19edo">19edo</a>s. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 | <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"><html><head><title>38edo</title></head><body><em>38edo</em> divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel <a class="wiki_link" href="/19edo">19edo</a>s. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 and 15625/15552. In the 7-limit, we can add 50/49, and tempering out 81/80 and 50/49 gives <a class="wiki_link" href="/Meantone%20family">injera temperament</a>, for which 38 is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In the 11-limit, we can add 121/120 and 176/175.</body></html></pre></div> | ||