15edo: Difference between revisions

Wikispaces>Osmiorisbendi
**Imported revision 144415029 - Original comment: **
Wikispaces>guest
**Imported revision 150596805 - 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>2010-05-24 22:31:36 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2010-06-26 02:07:01 UTC</tt>.<br>
: The original revision id was <tt>144415029</tt>.<br>
: The original revision id was <tt>150596805</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">=15 tone equal temperament=  
<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">=15 tone equal temperament=  


15-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.
15-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.
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[[image:http://www.swordguitars.com/Sword_15edoclassicalsm.JPG]](15-tone Classical Guitar by Ron Sword)
[[image:http://www.swordguitars.com/Sword_15edoclassicalsm.JPG]](//15-tone Classical Guitar by Ron Sword// / //Sword Guitars//)


**__15-EDO Notation:__**
=Theory=
F, F*, G, G*, H, H*, A, A*, B, B*, C, C*, D, D* and E.
[[http://home.comcast.net/%7Ebrentishere/15noteequaltempermenttutorial.html|15-EDO Tutorial]] by Brent Carson.


==Theory==  
=Practical Theory / Books=  
[[http://home.comcast.net/%7Ebrentishere/15noteequaltempermenttutorial.html|15-EDO Tutorial]] by Brent Carson.
[[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
Sword, Ronald. "Pentadecaphonic Scales for Guitar" IAAA Press, UK-USA. First Ed: June 2009.
==**Compositions**==  
==**Compositions**==  
[[http://teamouse.googlepages.com/MizarianPorcupineOverture.mp3|Mizarian Porcupine Overture]] by [[http://teamouse.googlepages.com/home|Herman Miller]] ([[Regular Temperaments#porcupine|porcupine]] chord progressions)
[[http://teamouse.googlepages.com/MizarianPorcupineOverture.mp3|Mizarian Porcupine Overture]] by [[http://teamouse.googlepages.com/home|Herman Miller]] ([[Regular Temperaments#porcupine|porcupine]] chord progressions)
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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;15edo&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="x15 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;15 tone equal temperament&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;15edo&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="x15 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;15 tone equal temperament&lt;/h1&gt;
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15-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.&lt;br /&gt;
15-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.&lt;br /&gt;
15-edo has been labeled a &amp;quot;Porcupine&amp;quot; temperament, by Paul Erlich, which has stuck ever since. The name comes from a piece called the &amp;quot;Mizarian Porcupine Overture&amp;quot; by Herman Miller. It also falls into the category of kleisma tunings along with 53 and 19.&lt;br /&gt;
15-edo has been labeled a &amp;quot;Porcupine&amp;quot; temperament, by Paul Erlich, which has stuck ever since. The name comes from a piece called the &amp;quot;Mizarian Porcupine Overture&amp;quot; by Herman Miller. It also falls into the category of kleisma tunings along with 53 and 19.&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;!-- ws:start:WikiTextRemoteImageRule:6:&amp;lt;img src=&amp;quot;http://www.swordguitars.com/Sword_15edoclassicalsm.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.swordguitars.com/Sword_15edoclassicalsm.JPG" alt="external image Sword_15edoclassicalsm.JPG" title="external image Sword_15edoclassicalsm.JPG" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:6 --&gt;(15-tone Classical Guitar by Ron Sword)&lt;br /&gt;
&lt;!-- ws:start:WikiTextRemoteImageRule:8:&amp;lt;img src=&amp;quot;http://www.swordguitars.com/Sword_15edoclassicalsm.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.swordguitars.com/Sword_15edoclassicalsm.JPG" alt="external image Sword_15edoclassicalsm.JPG" title="external image Sword_15edoclassicalsm.JPG" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:8 --&gt;(&lt;em&gt;15-tone Classical Guitar by Ron Sword&lt;/em&gt; / &lt;em&gt;Sword Guitars&lt;/em&gt;)&lt;br /&gt;
&lt;br /&gt;
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&lt;strong&gt;&lt;u&gt;15-EDO Notation:&lt;/u&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Theory&lt;/h1&gt;
F, F*, G, G*, H, H*, A, A*, B, B*, C, C*, D, D* and E.&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://home.comcast.net/%7Ebrentishere/15noteequaltempermenttutorial.html" rel="nofollow"&gt;15-EDO Tutorial&lt;/a&gt; by Brent Carson.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x15 tone equal temperament-Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Theory&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Practical Theory / Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Practical Theory / Books&lt;/h1&gt;
  &lt;a class="wiki_link_ext" href="http://home.comcast.net/%7Ebrentishere/15noteequaltempermenttutorial.html" rel="nofollow"&gt;15-EDO Tutorial&lt;/a&gt; by Brent Carson.&lt;br /&gt;
  &lt;!-- ws:start:WikiTextRemoteImageRule:10:&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:10 --&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;
Sword, Ronald. &amp;quot;Pentadecaphonic Scales for Guitar&amp;quot; IAAA Press, UK-USA. First Ed: June 2009.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Practical Theory / Books-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;strong&gt;Compositions&lt;/strong&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x15 tone equal temperament-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;strong&gt;Compositions&lt;/strong&gt;&lt;/h2&gt;
  &lt;a class="wiki_link_ext" href="http://teamouse.googlepages.com/MizarianPorcupineOverture.mp3" rel="nofollow"&gt;Mizarian Porcupine Overture&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://teamouse.googlepages.com/home" rel="nofollow"&gt;Herman Miller&lt;/a&gt; (&lt;a class="wiki_link" href="/Regular%20Temperaments#porcupine"&gt;porcupine&lt;/a&gt; chord progressions)&lt;br /&gt;
  &lt;a class="wiki_link_ext" href="http://teamouse.googlepages.com/MizarianPorcupineOverture.mp3" rel="nofollow"&gt;Mizarian Porcupine Overture&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://teamouse.googlepages.com/home" rel="nofollow"&gt;Herman Miller&lt;/a&gt; (&lt;a class="wiki_link" href="/Regular%20Temperaments#porcupine"&gt;porcupine&lt;/a&gt; chord progressions)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/15edostudy.mp3" rel="nofollow"&gt;Study for Bells&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://danielthompson.blogspot.com/" rel="nofollow"&gt;Daniel Thompson&lt;/a&gt; (Jan. 2007)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.microtonalmusic.net/audio/15edostudy.mp3" rel="nofollow"&gt;Study for Bells&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://danielthompson.blogspot.com/" rel="nofollow"&gt;Daniel Thompson&lt;/a&gt; (Jan. 2007)&lt;br /&gt;