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193edo: Difference between revisions

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Wikispaces>Osmiorisbendi
**Imported revision 241438051 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 268204890 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-07-14 23:36:14 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-24 23:33:09 UTC</tt>.<br>
: The original revision id was <tt>241438051</tt>.<br>
: The original revision id was <tt>268204890</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">=&lt;span style="color: #003838; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;193 tone equal temperament&lt;/span&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;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="color: #003838; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;193 tone equal temperament&lt;/span&gt;=  
The //193-EDO// divides the octave into 193 equal parts of 6.21762 cents each. It provides the [[optimal patent val]] for [[Kleismic family#Sqrtphi|sqrtphi temperament]] in the 13-, 17- and 19-limits.
The //193-EDO// divides the octave into 193 equal parts of 6.21762 cents each. It provides the [[optimal patent val]] for [[Kleismic family#Sqrtphi|sqrtphi temperament]] in the 13-, 17- and 19-limits, and for 13-limit [[Swetismic temperaments#Minos-13-limit|minos]] and [[Mirkwai family#Indra-Vish|visdh]] temperamernts/


Approximation of the intervals:
Approximation of the intervals:
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<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;193edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x193 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #003838; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;193 tone equal temperament&lt;/span&gt;&lt;/h1&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;193edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x193 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #003838; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;193 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
  The &lt;em&gt;193-EDO&lt;/em&gt; divides the octave into 193 equal parts of 6.21762 cents each. It provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Kleismic%20family#Sqrtphi"&gt;sqrtphi temperament&lt;/a&gt; in the 13-, 17- and 19-limits.&lt;br /&gt;
  The &lt;em&gt;193-EDO&lt;/em&gt; divides the octave into 193 equal parts of 6.21762 cents each. It provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for &lt;a class="wiki_link" href="/Kleismic%20family#Sqrtphi"&gt;sqrtphi temperament&lt;/a&gt; in the 13-, 17- and 19-limits, and for 13-limit &lt;a class="wiki_link" href="/Swetismic%20temperaments#Minos-13-limit"&gt;minos&lt;/a&gt; and &lt;a class="wiki_link" href="/Mirkwai%20family#Indra-Vish"&gt;visdh&lt;/a&gt; temperamernts/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Approximation of the intervals:&lt;br /&gt;
Approximation of the intervals:&lt;br /&gt;
Square root of Pi: &lt;strong&gt;159\193&lt;/strong&gt; (988.60104 cents), and&lt;br /&gt;
Square root of Pi: &lt;strong&gt;159\193&lt;/strong&gt; (988.60104 cents), and&lt;br /&gt;
Phi: &lt;strong&gt;134\193&lt;/strong&gt; (833.16062 cents), both inside of the scale &lt;a class="wiki_link" href="/7L%202s"&gt;7L 2s&lt;/a&gt;: 25 25 25 9 25 25 25 25 9&lt;/body&gt;&lt;/html&gt;</pre></div>
Phi: &lt;strong&gt;134\193&lt;/strong&gt; (833.16062 cents), both inside of the scale &lt;a class="wiki_link" href="/7L%202s"&gt;7L 2s&lt;/a&gt;: 25 25 25 9 25 25 25 25 9&lt;/body&gt;&lt;/html&gt;</pre></div>
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