Xenharmonic Wiki

13edo: Difference between revisions

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Wikispaces>michaelwayneharwood
**Imported revision 609239573 - Original comment: **
Wikispaces>michaelwayneharwood
**Imported revision 609290383 - 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:michaelwayneharwood|michaelwayneharwood]] and made on <tt>2017-03-21 11:13:19 UTC</tt>.<br>
: This revision was by author [[User:michaelwayneharwood|michaelwayneharwood]] and made on <tt>2017-03-22 00:28:59 UTC</tt>.<br>
: The original revision id was <tt>609239573</tt>.<br>
: The original revision id was <tt>609290383</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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[[file:13edo-chromatic-scale.mid|13 edo chromatic ascending and descending scale on C (MIDI)]]
[[file:13edo-chromatic-scale.mid|13 edo chromatic ascending and descending scale on C (MIDI)]]
[[media type="file" key="13 Edo chromatic scale on J.wav" width="300" height="50" autoplay="false"]]
[[media type="file" key="13 Edo chromatic scale on J.wav" width="300" height="50"]]


[[media type="custom" key="24802800"]]
[[media type="custom" key="24802800"]]
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Play the 4:5:9 chord:
Play the 4:5:9 chord:
[[media type="file" key="13 edo 459 chord.wav" width="300" height="50" autoplay="false"]]
[[media type="file" key="13 edo 459 chord.wav" width="300" height="50"]]
Play the 4:5:9:11 chord:
Play the 4:5:9:11 chord:
[[media type="file" key="13 edo 45911 chord.wav" width="300" height="50" autoplay="false"]]
[[media type="file" key="13 edo 45911 chord.wav" width="300" height="50"]]
Play the 4:5:9:13 chord:
Play the 4:5:9:13 chord:
[[media type="file" key="13 edo 45913 chord.wav" width="300" height="50" autoplay="false"]]
[[media type="file" key="13 edo 45913 chord.wav" width="300" height="50"]]
Play the 4:5:9:21 chord:
Play the 4:5:9:21 chord:
[[media type="file" key="13 edo 45921 chord.wav" width="300" height="50" autoplay="false"]]
[[media type="file" key="13 edo 45921 chord.wav" width="300" height="50"]]
=Notational and Compositional Approaches to 13edo=  
=Notational and Compositional Approaches to 13edo=  
13edo has drawn the attention of numerous composers and theorists, some of whom have devoted some effort to provide a notation and an outline of a compositional approach to it. Some of these are described below.
13edo has drawn the attention of numerous composers and theorists, some of whom have devoted some effort to provide a notation and an outline of a compositional approach to it. Some of these are described below.
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Also, this approach allows for a circle of fourths to be produced:
Also, this approach allows for a circle of fourths to be produced:
[[image:xenharmonic/13 ET circle of fourths.PNG]]
[[image:xenharmonic/13 ET circle of fourths.PNG]]
Listen to Ryonian on J (F#) [[media type="file" key="13 edo Ryo mode.wav" width="300" height="50" autoplay="false"]]
Listen to Ryonian on J (F#) [[media type="file" key="13 edo Ryo mode.wav" width="300" height="50"]]
Listen to Dylathian on J: (F#) [[media type="file" key="13 edo 8 tone mode 1.wav" width="300" height="50" autoplay="false"]]
Listen to Dylathian on J: (F#) [[media type="file" key="13 edo 8 tone mode 1.wav" width="300" height="50"]]


[[xenharmonic/Kentaku's Approach to 13EDO|More on William Lynch's 13 EDO octatonic approach]]
[[xenharmonic/Kentaku's Approach to 13EDO|More on William Lynch's 13 EDO octatonic approach]]
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&lt;br /&gt;
&lt;br /&gt;
&lt;a href="/file/view/13edo-chromatic-scale.mid/389281456/13edo-chromatic-scale.mid" onclick="ws.common.trackFileLink('/file/view/13edo-chromatic-scale.mid/389281456/13edo-chromatic-scale.mid');"&gt;13 edo chromatic ascending and descending scale on C (MIDI)&lt;/a&gt;&lt;br /&gt;
&lt;a href="/file/view/13edo-chromatic-scale.mid/389281456/13edo-chromatic-scale.mid" onclick="ws.common.trackFileLink('/file/view/13edo-chromatic-scale.mid/389281456/13edo-chromatic-scale.mid');"&gt;13 edo chromatic ascending and descending scale on C (MIDI)&lt;/a&gt;&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:2:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24802800?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;24802800&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/13ed2-001.svg"&gt;alt : Your browser has no SVG support.&lt;/object&gt;&lt;!-- ws:end:WikiTextMediaRule:2 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:2:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24802800?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;24802800&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/13ed2-001.svg"&gt;alt : Your browser has no SVG support.&lt;/object&gt;&lt;!-- ws:end:WikiTextMediaRule:2 --&gt;&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
Play the 4:5:9 chord:&lt;br /&gt;
Play the 4:5:9 chord:&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:3:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%20459%20chord.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 459 chord.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot; autoplay=&amp;amp;quot;false&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+459+chord.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:3 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:3:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%20459%20chord.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 459 chord.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+459+chord.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:3 --&gt;&lt;br /&gt;
Play the 4:5:9:11 chord:&lt;br /&gt;
Play the 4:5:9:11 chord:&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:4:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%2045911%20chord.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 45911 chord.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot; autoplay=&amp;amp;quot;false&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+45911+chord.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:4 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:4:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%2045911%20chord.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 45911 chord.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+45911+chord.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:4 --&gt;&lt;br /&gt;
Play the 4:5:9:13 chord:&lt;br /&gt;
Play the 4:5:9:13 chord:&lt;br /&gt;
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&lt;!-- ws:start:WikiTextMediaRule:5:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%2045913%20chord.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 45913 chord.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+45913+chord.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:5 --&gt;&lt;br /&gt;
Play the 4:5:9:21 chord:&lt;br /&gt;
Play the 4:5:9:21 chord:&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:6:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%2045921%20chord.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 45921 chord.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot; autoplay=&amp;amp;quot;false&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+45921+chord.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:6 --&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Notational and Compositional Approaches to 13edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Notational and Compositional Approaches to 13edo&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Notational and Compositional Approaches to 13edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Notational and Compositional Approaches to 13edo&lt;/h1&gt;
  13edo has drawn the attention of numerous composers and theorists, some of whom have devoted some effort to provide a notation and an outline of a compositional approach to it. Some of these are described below.&lt;br /&gt;
  13edo has drawn the attention of numerous composers and theorists, some of whom have devoted some effort to provide a notation and an outline of a compositional approach to it. Some of these are described below.&lt;br /&gt;
Line 827: Line 827:
Also, this approach allows for a circle of fourths to be produced:&lt;br /&gt;
Also, this approach allows for a circle of fourths to be produced:&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1124:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/13%20ET%20circle%20of%20fourths.PNG/506093224/13%20ET%20circle%20of%20fourths.PNG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/13%20ET%20circle%20of%20fourths.PNG/506093224/13%20ET%20circle%20of%20fourths.PNG" alt="13 ET circle of fourths.PNG" title="13 ET circle of fourths.PNG" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1124 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1124:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/13%20ET%20circle%20of%20fourths.PNG/506093224/13%20ET%20circle%20of%20fourths.PNG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/13%20ET%20circle%20of%20fourths.PNG/506093224/13%20ET%20circle%20of%20fourths.PNG" alt="13 ET circle of fourths.PNG" title="13 ET circle of fourths.PNG" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1124 --&gt;&lt;br /&gt;
Listen to Ryonian on J (F#) &lt;!-- ws:start:WikiTextMediaRule:7:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%20Ryo%20mode.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo Ryo mode.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot; autoplay=&amp;amp;quot;false&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+Ryo+mode.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:7 --&gt;&lt;br /&gt;
Listen to Ryonian on J (F#) &lt;!-- ws:start:WikiTextMediaRule:7:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%20Ryo%20mode.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo Ryo mode.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+Ryo+mode.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:7 --&gt;&lt;br /&gt;
Listen to Dylathian on J: (F#) &lt;!-- ws:start:WikiTextMediaRule:8:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%208%20tone%20mode%201.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 8 tone mode 1.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot; autoplay=&amp;amp;quot;false&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+8+tone+mode+1.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:8 --&gt;&lt;br /&gt;
Listen to Dylathian on J: (F#) &lt;!-- ws:start:WikiTextMediaRule:8:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/13%20edo%208%20tone%20mode%201.wav?h=50&amp;amp;w=300&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;13 edo 8 tone mode 1.wav&amp;amp;quot; width=&amp;amp;quot;300&amp;amp;quot; height=&amp;amp;quot;50&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;50&amp;quot; width=&amp;quot;300&amp;quot;/&amp;gt; --&gt;&lt;embed type="audio/wav" style="cursor:hand; cursor:pointer;" src="http://xenharmonic.wikispaces.com/file/view/13+edo+8+tone+mode+1.wav" width="300" height="50" autoplay="false" target="myself" controller="true" loop="false" scale="aspect" bgcolor="#FFFFFF" pluginspage="http://www.apple.com/quicktime/download/"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:8 --&gt;&lt;br /&gt;
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&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kentaku%27s%20Approach%20to%2013EDO"&gt;More on William Lynch's 13 EDO octatonic approach&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kentaku%27s%20Approach%20to%2013EDO"&gt;More on William Lynch's 13 EDO octatonic approach&lt;/a&gt;&lt;br /&gt;
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