224edo

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Revision as of 13:49, 25 March 2011 by Wikispaces>genewardsmith (**Imported revision 214032428 - Original comment: **)
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This revision was by author genewardsmith and made on 2011-03-25 13:49:22 UTC.
The original revision id was 214032428.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The //224 equal temperament// divides the octave into 224 equal parts of 5.357 cents each. It is a very strong 13-limit system, tempering out 32805/32768 in the 5-limit; 4375/4374, 16875/16807 and 65625/65536 in the 7-limit; 540/530, 1375/1372 and 4000/3993 in the 11-limit; and 729/728, 1575/1573 and 2200/2197 in the 13-limit. It defines the [[optimal patent val]] for [[Ragismic microtemperaments|octoid temperament]] in the 7-, 11- and 13-limit, and for [[Mirkwai family|mirkwai]], the 7-limit planar temperament tempering out 16875/16807. It also provides an excellent tuning for [[Mirkwai family|indra]] and [[Mirkwai family|shibi]] temperaments.

224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.

=Music=
[[http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3|Dreyfus]], by [[Gene Ward Smith]]

Original HTML content:

<html><head><title>224edo</title></head><body>The <em>224 equal temperament</em> divides the octave into 224 equal parts of 5.357 cents each. It is a very strong 13-limit system, tempering out 32805/32768 in the 5-limit; 4375/4374, 16875/16807 and 65625/65536 in the 7-limit; 540/530, 1375/1372 and 4000/3993 in the 11-limit; and 729/728, 1575/1573 and 2200/2197 in the 13-limit. It defines the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Ragismic%20microtemperaments">octoid temperament</a> in the 7-, 11- and 13-limit, and for <a class="wiki_link" href="/Mirkwai%20family">mirkwai</a>, the 7-limit planar temperament tempering out 16875/16807. It also provides an excellent tuning for <a class="wiki_link" href="/Mirkwai%20family">indra</a> and <a class="wiki_link" href="/Mirkwai%20family">shibi</a> temperaments.<br />
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224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.<br />
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>
<a class="wiki_link_ext" href="http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3" rel="nofollow">Dreyfus</a>, by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a></body></html>