18edo

Revision as of 21:32, 3 May 2010 by Wikispaces>igliashon (**Imported revision 139194417 - Original comment: **)
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This revision was by author igliashon and made on 2010-05-03 21:32:11 UTC.
The original revision id was 139194417.
The revision comment was:

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Original Wikitext content:

=18 Equal Divisions of the Octave= 

==Basis== 
===<span style="font-size: 13px; font-weight: normal; line-height: 19px;"> </span>=== 
===**Representations of Just Intervals**=== 

<span style="font-size: 14px; line-height: 21px;">**Relationship to Other EDOs** </span>

18-EDO, aka the "third-tone" system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET "whole tone" is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone.
===Representations of Linear Temperaments=== 

=== === 

Original HTML content:

<html><head><title>18edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x18 Equal Divisions of the Octave"></a><!-- ws:end:WikiTextHeadingRule:0 -->18 Equal Divisions of the Octave</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x18 Equal Divisions of the Octave-Basis"></a><!-- ws:end:WikiTextHeadingRule:2 -->Basis</h2>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><!-- ws:end:WikiTextHeadingRule:4 --><span style="font-size: 13px; font-weight: normal; line-height: 19px;"> </span></h3>
 <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x18 Equal Divisions of the Octave-Basis-Representations of Just Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 --><strong>Representations of Just Intervals</strong></h3>
 <br />
<span style="font-size: 14px; line-height: 21px;"><strong>Relationship to Other EDOs</strong> </span><br />
<br />
18-EDO, aka the &quot;third-tone&quot; system, is related to 12-tET by the whole-tone scale (which is 6-EDO), since 18=6*3 and 12=6*2; hence a 12-tET &quot;whole tone&quot; is divided into 3 equal parts in 18-EDO. Since 18=9*2, 18-EDO contains two sets of 9-EDO, offset from each other by a third-tone.<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x18 Equal Divisions of the Octave-Basis-Representations of Linear Temperaments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Representations of Linear Temperaments</h3>
 <br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><!-- ws:end:WikiTextHeadingRule:10 --> </h3>
</body></html>