15edo: Difference between revisions

Wikispaces>spt3125
**Imported revision 480720476 - Original comment: **
Wikispaces>spt3125
**Imported revision 480721332 - 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:spt3125|spt3125]] and made on <tt>2014-01-05 14:48:58 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-05 14:52:57 UTC</tt>.<br>
: The original revision id was <tt>480720476</tt>.<br>
: The original revision id was <tt>480721332</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">[[toc]]
<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">[[toc]]
=15-tone equal temperament=
=15-tone equal temperament=  


From [[@http://en.wikipedia.org/wiki/15_equal_temperament|Wikipedia]]:
From [[@http://en.wikipedia.org/wiki/15_equal_temperament|Wikipedia]]:
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=Practical Theory / Books=  
=Practical Theory / Books=  
[[image:http://ronsword.com/images/Pendecaphonic_coversm.jpg width="112" height="149" link="http://www.ronsword.com"]][[http://www.ronsword.com|Sword, Ronald. "Pendecaphonic Scales for Guitar" IAAA Press, UK-USA. First Ed: June 2009.]] - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions.
[[http://www.swordguitars.com|Sword, Ronald. "Pendecaphonic Scales for Guitar" IAAA Press, UK-USA. First Ed: June 2009.]] - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions.


=**Compositions**=  
=Compositions=


**[[@http://micro.soonlabel.com/15-ET/|XA 15-ET Directory]]**
**[[@http://micro.soonlabel.com/15-ET/|XA 15-ET Directory]]**
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&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x15-tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;15-tone equal temperament&lt;/h1&gt;
&lt;br /&gt;
&lt;br /&gt;
From &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/15_equal_temperament" rel="nofollow" target="_blank"&gt;Wikipedia&lt;/a&gt;:&lt;br /&gt;
From &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/15_equal_temperament" rel="nofollow" target="_blank"&gt;Wikipedia&lt;/a&gt;:&lt;br /&gt;
&amp;quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of &lt;a class="wiki_link" href="/5edo"&gt;5 equal divisions of the octave&lt;/a&gt; (or five scales of &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;).&amp;quot;&lt;br /&gt;
&amp;quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 15 equal steps. Each step represents a frequency ratio of 2^(1/15), or 80 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of &lt;a class="wiki_link" href="/5edo"&gt;5 equal divisions of the octave&lt;/a&gt; (or five scales of &lt;a class="wiki_link" href="/3edo"&gt;3edo&lt;/a&gt;).&amp;quot;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24802896?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;24802896&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/15ed2-001.svg"&gt;alt : Your browser has no SVG support.&lt;/object&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextFileRule:736:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/15ed2-001.svg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@15ed2-001.svg&amp;quot; title=&amp;quot;File: 15ed2-001.svg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/15ed2-001.svg/480716490/15ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/15ed2-001.svg/480716490/15ed2-001.svg');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="15ed2-001.svg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/15ed2-001.svg/480716490/15ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/15ed2-001.svg/480716490/15ed2-001.svg');" class="filename" title="15ed2-001.svg"&gt;15ed2-001.svg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/15ed2-001.svg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/15ed2-001.svg/480716490/15ed2-001.svg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;16 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:736 --&gt;&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Practical Theory / Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Practical Theory / Books&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Practical Theory / Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Practical Theory / Books&lt;/h1&gt;
  &lt;!-- ws:start:WikiTextRemoteImageRule:737:&amp;lt;a href=&amp;quot;http://www.ronsword.com&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://ronsword.com/images/Pendecaphonic_coversm.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 149px; width: 112px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="http://www.ronsword.com" rel="nofollow"&gt;&lt;img src="http://ronsword.com/images/Pendecaphonic_coversm.jpg" alt="external image Pendecaphonic_coversm.jpg" title="external image Pendecaphonic_coversm.jpg" style="height: 149px; width: 112px;" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:737 --&gt;&lt;a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow"&gt;Sword, Ronald. &amp;quot;Pendecaphonic Scales for Guitar&amp;quot; IAAA Press, UK-USA. First Ed: June 2009.&lt;/a&gt; - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions.&lt;br /&gt;
  &lt;a class="wiki_link_ext" href="http://www.swordguitars.com" rel="nofollow"&gt;Sword, Ronald. &amp;quot;Pendecaphonic Scales for Guitar&amp;quot; IAAA Press, UK-USA. First Ed: June 2009.&lt;/a&gt; - A large repository of all known scales and temperament families in the 15-edo system. 300+ examples /w chord-scale progressions.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Compositions&lt;/h1&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;strong&gt;Compositions&lt;/strong&gt;&lt;/h1&gt;
&lt;br /&gt;
&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/" rel="nofollow" target="_blank"&gt;XA 15-ET Directory&lt;/a&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/" rel="nofollow" target="_blank"&gt;XA 15-ET Directory&lt;/a&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;br /&gt;
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&lt;a class="wiki_link_ext" href="http://youtu.be/6TyQ9kDm2fk" rel="nofollow"&gt;Ode For Ada&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/5f07ebbdf8b4ba8ef067ed3d00a38357-158.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://youtu.be/6TyQ9kDm2fk" rel="nofollow"&gt;Ode For Ada&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/5f07ebbdf8b4ba8ef067ed3d00a38357-158.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)&lt;br /&gt;
Suite in 15-Note Equal Tuning, opus 33 by Easley Blackwood (as well as one of the Twelve Microtonal Etudes, opus 28)&lt;br /&gt;
&lt;!-- ws:start:WikiTextFileRule:739:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/15edo-Chords.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@15edo-Chords.ogg&amp;quot; title=&amp;quot;File: 15edo-Chords.ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="15edo-Chords.ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');" class="filename" title="15edo-Chords.ogg"&gt;15edo-Chords.ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/15edo-Chords.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:739 --&gt; Some nice sounds I found in 15 EDO&lt;br /&gt;
&lt;!-- ws:start:WikiTextFileRule:737:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/15edo-Chords.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@15edo-Chords.ogg&amp;quot; title=&amp;quot;File: 15edo-Chords.ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="15edo-Chords.ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg" onclick="ws.common.trackFileLink('/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg');" class="filename" title="15edo-Chords.ogg"&gt;15edo-Chords.ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/15edo-Chords.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/15edo-Chords.ogg/252472844/15edo-Chords.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;2 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:737 --&gt; Some nice sounds I found in 15 EDO&lt;br /&gt;
&lt;!-- ws:start:WikiTextFileRule:740:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/happenstance15.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@happenstance15.ogg&amp;quot; title=&amp;quot;File: happenstance15.ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg" onclick="ws.common.trackFileLink('/file/view/happenstance15.ogg/257380320/happenstance15.ogg');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="happenstance15.ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg" onclick="ws.common.trackFileLink('/file/view/happenstance15.ogg/257380320/happenstance15.ogg');" class="filename" title="happenstance15.ogg"&gt;happenstance15.ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/happenstance15.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;6 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:740 --&gt;Sonic experiment in 15. Somewhat familiar tonality.&lt;br /&gt;
&lt;!-- ws:start:WikiTextFileRule:738:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/happenstance15.ogg?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@happenstance15.ogg&amp;quot; title=&amp;quot;File: happenstance15.ogg&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg" onclick="ws.common.trackFileLink('/file/view/happenstance15.ogg/257380320/happenstance15.ogg');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="happenstance15.ogg" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg" onclick="ws.common.trackFileLink('/file/view/happenstance15.ogg/257380320/happenstance15.ogg');" class="filename" title="happenstance15.ogg"&gt;happenstance15.ogg&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/happenstance15.ogg"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/happenstance15.ogg/257380320/happenstance15.ogg"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;6 MB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:738 --&gt;Sonic experiment in 15. Somewhat familiar tonality.&lt;br /&gt;
&lt;span class="long-title"&gt;&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=kQECU5ecCd4" rel="nofollow" target="_blank"&gt;Portrait of insects with 15-tone equal tempered guitar music &lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class="long-title"&gt;&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=kQECU5ecCd4" rel="nofollow" target="_blank"&gt;Portrait of insects with 15-tone equal tempered guitar music &lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.reverbnation.com/ffffiale/song/3073160-pentadecafonicoda-15et" rel="nofollow"&gt;PentadecafoniCoda (15et)&lt;/a&gt; by &lt;span class="wiki_link_ext"&gt;F.F.F. Fiale&lt;/span&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.reverbnation.com/ffffiale/song/3073160-pentadecafonicoda-15et" rel="nofollow"&gt;PentadecafoniCoda (15et)&lt;/a&gt; by &lt;span class="wiki_link_ext"&gt;F.F.F. Fiale&lt;/span&gt;&lt;br /&gt;
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