38edo

Revision as of 18:33, 21 March 2011 by Wikispaces>genewardsmith (**Imported revision 212589932 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-03-21 18:33:28 UTC.
The original revision id was 212589932.
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Original Wikitext content:

//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.

Original HTML content:

<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>