224edo: Difference between revisions

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**Imported revision 238828523 - Original comment: **
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**Imported revision 338047410 - 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>2011-06-26 15:44:37 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-21 16:27:00 UTC</tt>.<br>
: The original revision id was <tt>238828523</tt>.<br>
: The original revision id was <tt>338047410</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">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]].  
<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]].  


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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[[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]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;224edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;224 equal temperament&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 224 equal parts of 5.357 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It is a very strong &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; system, tempering out 32805/32768 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;; 4375/4374, 16875/16807 and 65625/65536 in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;; 540/530, 1375/1372 and 4000/3993 in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;; and 729/728, 1575/1573 and 2200/2197 in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;. It defines the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;octoid temperament&lt;/a&gt; in the 7-, 11- and 13-limit, and for &lt;a class="wiki_link" href="/Mirkwai%20family"&gt;mirkwai&lt;/a&gt;, the 7-limit planar temperament tempering out 16875/16807. It also provides an excellent tuning for &lt;a class="wiki_link" href="/Mirkwai%20family"&gt;indra&lt;/a&gt; and &lt;a class="wiki_link" href="/Mirkwai%20family"&gt;shibi&lt;/a&gt; temperaments. It is the twelfth &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta integral edo&lt;/a&gt;. &lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;224edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;224 equal temperament&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 224 equal parts of 5.357 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It is a very strong &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; system, tempering out 32805/32768 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;; 4375/4374, 16875/16807 and 65625/65536 in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;; 540/530, 1375/1372 and 4000/3993 in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;; and 625/624, 729/728, 1575/1573 and 2200/2197 in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;, leading to an abundance of precisely-tuned essentially tempered chords. It defines the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;octoid temperament&lt;/a&gt; in the 7-, 11- and 13-limit, and for &lt;a class="wiki_link" href="/Mirkwai%20family"&gt;mirkwai&lt;/a&gt;, the 7-limit planar temperament tempering out 16875/16807. It also provides an excellent tuning for &lt;a class="wiki_link" href="/Mirkwai%20family"&gt;indra&lt;/a&gt; and &lt;a class="wiki_link" href="/Mirkwai%20family"&gt;shibi&lt;/a&gt; temperaments. It is the twelfth &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists"&gt;zeta integral edo&lt;/a&gt;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.&lt;br /&gt;
224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.&lt;br /&gt;

Revision as of 16:27, 21 May 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-05-21 16:27:00 UTC.
The original revision id was 338047410.
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 [[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]]. 

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 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 />
<br />
224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.<br />
<br />
<!-- 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/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>