224edo
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- This revision was by author genewardsmith and made on 2011-06-26 15:44:37 UTC.
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Original Wikitext content:
The //224 equal temperament// divides the [[octave]] into 224 equal parts of 5.357 [[cent]]s 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. It is the twelfth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. 224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112. =Music= [[http://www.archive.org/details/Dreyfus|Dreyfus]] [[http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3|play]] by [[Gene Ward Smith]]
Original HTML content:
<html><head><title>224edo</title></head><body>The <em>224 equal temperament</em> divides the <a class="wiki_link" href="/octave">octave</a> into 224 equal parts of 5.357 <a class="wiki_link" href="/cent">cent</a>s each. It is a very strong <a class="wiki_link" href="/13-limit">13-limit</a> system, tempering out 32805/32768 in the <a class="wiki_link" href="/5-limit">5-limit</a>; 4375/4374, 16875/16807 and 65625/65536 in the <a class="wiki_link" href="/7-limit">7-limit</a>; 540/530, 1375/1372 and 4000/3993 in the <a class="wiki_link" href="/11-limit">11-limit</a>; and 729/728, 1575/1573 and 2200/2197 in the <a class="wiki_link" href="/13-limit">13-limit</a>. 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. It is the twelfth <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta integral edo</a>. <br /> <br /> 224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1> <a class="wiki_link_ext" href="http://www.archive.org/details/Dreyfus" rel="nofollow">Dreyfus</a> <a class="wiki_link_ext" href="http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a></body></html>