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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The ''224 equal temperament'' divides the [[Octave|octave]] into 224 equal parts of 5.357 [[cent|cent]]s each. It is a very strong [[13-limit|13-limit]] system, tempering out 32805/32768 in the [[5-limit|5-limit]]; 4375/4374, 16875/16807 and 65625/65536 in the [[7-limit|7-limit]]; 540/530, 1375/1372 and 4000/3993 in the [[11-limit|11-limit]]; and 625/624, 729/728, 1575/1573 and 2200/2197 in the [[13-limit|13-limit]], leading to an abundance of precisely-tuned essentially tempered chords. It defines the [[Optimal_patent_val|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]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-21 16:27:00 UTC</tt>.<br>
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| : The original revision id was <tt>338047410</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">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 625/624, 729/728, 1575/1573 and 2200/2197 in the [[13-limit]], leading to an abundance of precisely-tuned essentially tempered chords. 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]].
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| 224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112. | | 224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112. |
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| =Music= | | =Music= |
| [[http://www.archive.org/details/Dreyfus|Dreyfus]] [[http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3|play]] by [[Gene Ward Smith]]</pre></div>
| | [http://www.archive.org/details/Dreyfus Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play] by [[Gene_Ward_Smith|Gene Ward Smith]] [[Category:edo]] |
| <h4>Original HTML content:</h4>
| | [[Category:indra]] |
| <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>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 625/624, 729/728, 1575/1573 and 2200/2197 in the <a class="wiki_link" href="/13-limit">13-limit</a>, leading to an abundance of precisely-tuned essentially tempered chords. 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 />
| | [[Category:listen]] |
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| | [[Category:mirkwai]] |
| 224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.<br />
| | [[Category:octoid]] |
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| | [[Category:shibi]] |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>
| | [[Category:theory]] |
| <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></pre></div>
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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 625/624, 729/728, 1575/1573 and 2200/2197 in the 13-limit, leading to an abundance of precisely-tuned essentially tempered chords. It defines the optimal patent val for octoid temperament in the 7-, 11- and 13-limit, and for mirkwai, the 7-limit planar temperament tempering out 16875/16807. It also provides an excellent tuning for indra and shibi temperaments. It is the twelfth zeta integral edo.
224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.
Music
Dreyfus play by Gene Ward Smith