34edo: Difference between revisions

Wikispaces>phylingual
**Imported revision 322400186 - Original comment: **
Wikispaces>guest
**Imported revision 322497592 - 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:phylingual|phylingual]] and made on <tt>2012-04-18 21:34:55 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-19 03:32:38 UTC</tt>.<br>
: The original revision id was <tt>322400186</tt>.<br>
: The original revision id was <tt>322497592</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>
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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">= =  
<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">= =  


34edo divides the octave into 34 equal steps of approximately 35.29412 cents. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents.
34edo divides the octave into 34 equal steps of approximately 35.29412 [[cent]]s. 34edo contains two [[xenharmonic/17edo|17edo]]'s and the half-octave tritone of 600 cents.


===Approximations to Just Intonation===  
===Approximations to Just Intonation===  
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||= 20000/19683 || &lt;span style="background-color: #ffffff; display: block; text-align: left;"&gt;| 5 -9 4 &gt;&lt;/span&gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;27.660&lt;/span&gt; ||= Minimal Diesis ||= Tetracot Comma ||  ||
||= 20000/19683 || &lt;span style="background-color: #ffffff; display: block; text-align: left;"&gt;| 5 -9 4 &gt;&lt;/span&gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;27.660&lt;/span&gt; ||= Minimal Diesis ||= Tetracot Comma ||  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;2048/2025&lt;/span&gt; ||&lt; | 11 -4 -2 &gt; ||&gt; 19.553 ||= Diaschisma ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;Semicomma Majeur&lt;/span&gt; ||=  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;2048/2025&lt;/span&gt; ||&lt; | 11 -4 -2 &gt; ||&gt; 19.553 ||= Diaschisma ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;Semicomma Majeur&lt;/span&gt; ||=  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt; || |&lt;span style="text-align: left;"&gt;17 1 -8 &gt;&lt;/span&gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt; ||= Würschmidt comma ||=  ||  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt; || |
&lt;span style="display: block; text-align: left;"&gt;17 1 -8 &gt;&lt;/span&gt; ||&gt; &lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt; ||= Würschmidt comma ||=  ||  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;15625/15552&lt;/span&gt; || &lt;span style="display: block; text-align: left;"&gt;| -6 -5 6 &gt;&lt;/span&gt; ||&gt; &lt;span style="display: block; text-align: right;"&gt;8.1073&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;Kleisma&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;Semicomma Majeur&lt;/span&gt; ||  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;15625/15552&lt;/span&gt; || &lt;span style="display: block; text-align: left;"&gt;| -6 -5 6 &gt;&lt;/span&gt; ||&gt; &lt;span style="display: block; text-align: right;"&gt;8.1073&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;Kleisma&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;Semicomma Majeur&lt;/span&gt; ||  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;1212717/1210381&lt;/span&gt;&lt;/span&gt; ||&lt; &lt;span style="background-color: #ffffff;"&gt;| 23 6 -14 &gt;&lt;/span&gt; ||&gt; 3.338 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;Vishnuzma&lt;/span&gt; ||= Semisuper ||=  ||
||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;1212717/1210381&lt;/span&gt;&lt;/span&gt; ||&lt; &lt;span style="background-color: #ffffff;"&gt;| 23 6 -14 &gt;&lt;/span&gt; ||&gt; 3.338 ||= &lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;Vishnuzma&lt;/span&gt; ||= Semisuper ||=  ||
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;34edo&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;!-- ws:end:WikiTextHeadingRule:0 --&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;34edo&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;!-- ws:end:WikiTextHeadingRule:0 --&gt; &lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
34edo divides the octave into 34 equal steps of approximately 35.29412 cents. 34edo contains two &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17edo&lt;/a&gt;'s and the half-octave tritone of 600 cents.&lt;br /&gt;
34edo divides the octave into 34 equal steps of approximately 35.29412 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. 34edo contains two &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17edo&lt;/a&gt;'s and the half-octave tritone of 600 cents.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Approximations to Just Intonation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Approximations to Just Intonation&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Approximations to Just Intonation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Approximations to Just Intonation&lt;/h3&gt;
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         &lt;td style="text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: center;"&gt;393216/390625&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;|&lt;span style="text-align: left;"&gt;17 1 -8 &amp;gt;&lt;/span&gt;&lt;br /&gt;
         &lt;td&gt;|&lt;br /&gt;
&lt;span style="display: block; text-align: left;"&gt;17 1 -8 &amp;gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: right;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;&lt;span style="background-color: #ffffff; display: block; text-align: right;"&gt;11.445&lt;/span&gt;&lt;br /&gt;