164edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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~~-12-~~21 16~~:04:29 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-09-08 18:29:09 UTC</tt>.<br>

: The original revision id was <tt>~~288013894~~</tt>.<br>

: The original revision id was <tt>363076988</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>

<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 //164 equal division// divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the [[optimal patent val]] for [[Würschmidt family|würschmidt temperament]]. ~~It does not particularly shine in~~ higher limits, ~~but it does~~ also ~~supply~~ the optimal patent val for the 7-limit 41&123 temperament ~~which also tempers~~ out ~~1029~~/~~1024~~.

<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 //164 equal division// divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the [[optimal patent val]] for [[Würschmidt family|würschmidt temperament]]. In higher limits, also supplies the optimal patent val for the 7-limit, 1/41 octave period 41&123 temperament, and the 13-limit [[Gamelismic family#Portent|momentous temperament]], the rank-three temperament tempering out 196/195, 352/351, 385/384 and 441/440.

164 = 4 * 41, with divisors 2, 4, 41, 82</pre></div>

164 = 4 * 41, with divisors 2, 1/41 cotave4, 41, 82</pre></div>

<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"><html><head><title>164edo</title></head><body>The <em>164 equal division</em> divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/W%C3%BCrschmidt%20family">würschmidt temperament</a>. ~~It does not particularly shine in~~ higher limits, ~~but it does~~ also ~~supply~~ the optimal patent val for the 7-limit 41&amp;123 temperament ~~which also tempers~~ out ~~1029~~/~~1024~~.<br />

<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>164edo</title></head><body>The <em>164 equal division</em> divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/W%C3%BCrschmidt%20family">würschmidt temperament</a>. In higher limits, also supplies the optimal patent val for the 7-limit, 1/41 octave period 41&amp;123 temperament, and the 13-limit <a class="wiki_link" href="/Gamelismic%20family#Portent">momentous temperament</a>, the rank-three temperament tempering out 196/195, 352/351, 385/384 and 441/440.<br />

<br />

164 = 4 * 41, with divisors 2, 4, 41, 82</body></html></pre></div>

164 = 4 * 41, with divisors 2, 1/41 cotave4, 41, 82</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-12-21 16:04:29 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-09-08 18:29:09 UTC</tt>.<br>
-: The original revision id was <tt>288013894</tt>.<br>
+: The original revision id was <tt>363076988</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>
 <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 //164 equal division// divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the [[optimal patent val]] for [[Würschmidt family|würschmidt temperament]]. It does not particularly shine in higher limits, but it does also supply the optimal patent val for the 7-limit 41&amp;123 temperament which also tempers out 1029/1024.
+<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 //164 equal division// divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the [[optimal patent val]] for [[Würschmidt family|würschmidt temperament]]. In higher limits, also supplies the optimal patent val for the 7-limit, 1/41 octave period 41&amp;123 temperament, and the 13-limit [[Gamelismic family#Portent|momentous temperament]], the rank-three temperament tempering out 196/195, 352/351, 385/384 and 441/440.
-= 4 * 41, with divisors 2, 4, 41, 82</pre></div>
+= 4 * 41, with divisors 2, 1/41 cotave4, 41, 82</pre></div>
 <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;164edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;164 equal division&lt;/em&gt; divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/W%C3%BCrschmidt%20family"&gt;würschmidt temperament&lt;/a&gt;. It does not particularly shine in higher limits, but it does also supply the optimal patent val for the 7-limit 41&amp;amp;123 temperament which also tempers out 1029/1024.&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;164edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;164 equal division&lt;/em&gt; divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/W%C3%BCrschmidt%20family"&gt;würschmidt temperament&lt;/a&gt;. In higher limits, also supplies the optimal patent val for the 7-limit, 1/41 octave period 41&amp;amp;123 temperament, and the 13-limit &lt;a class="wiki_link" href="/Gamelismic%20family#Portent"&gt;momentous temperament&lt;/a&gt;, the rank-three temperament tempering out 196/195, 352/351, 385/384 and 441/440.&lt;br /&gt;
 &lt;br /&gt;
-= 4 * 41, with divisors 2, 4, 41, 82&lt;/body&gt;&lt;/html&gt;</pre></div>
+= 4 * 41, with divisors 2, 1/41 cotave4, 41, 82&lt;/body&gt;&lt;/html&gt;</pre></div>