15edo: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:guest|guest]] and made on <tt>~~2009~~-06~~-03 17~~:59:09 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2010-02-19 06:15:39 UTC</tt>.<br>

: The original revision id was <tt>~~76664493~~</tt>.<br>

: The original revision id was <tt>121498917</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>

<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=

15-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.

15-edo has been labeled a "Porcupine" temperament by Paul Erlich, which has stuck ever since. The name comes from a piece called the "Mizarian Porcupine Overture" by Herman Miller. It also falls into the catagory of kleisma tunings along with 53 and 19.

""In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the octave into 15 equal steps. Each step represents a frequency ratio of 2 1/15, or 80 cents. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of 5 equal divisions of the octave. 15-ET matches the 11:8 and 16:11 ratios, and does not match the 7:5 or 10:7 tritone."

[[image:http://www.swordguitars.com/Sword_15edoclassicalsm.JPG]](15-tone Classical Guitar by Ron Sword)

==Theory==

Line 25:

Line 35:

<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"><html><head><title>15edo</title></head><body><h1 id="toc0"><a name="x15 tone equal temperament"></a>15 tone equal temperament</h1>

<br />

15-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.<br />

15-edo has been labeled a &quot;Porcupine&quot; temperament by Paul Erlich, which has stuck ever since. The name comes from a piece called the &quot;Mizarian Porcupine Overture&quot; by Herman Miller. It also falls into the catagory of kleisma tunings along with 53 and 19.<br />

<br />

&quot;&quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the octave into 15 equal steps. Each step represents a frequency ratio of 2 1/15, or 80 cents. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of 5 equal divisions of the octave. 15-ET matches the 11:8 and 16:11 ratios, and does not match the 7:5 or 10:7 tritone.&quot;<br />

<br />

<img src="http://www.swordguitars.com/Sword_15edoclassicalsm.JPG" alt="external image Sword_15edoclassicalsm.JPG" title="external image Sword_15edoclassicalsm.JPG" />(15-tone Classical Guitar by Ron Sword)<br />

<br />

<h2 id="toc1"><a name="x15 tone equal temperament-Theory"></a>Theory</h2>

<a class="wiki_link_ext" href="http://home.comcast.net/%7Ebrentishere/15noteequaltempermenttutorial.html" rel="nofollow">15-EDO Tutorial</a> by Brent Carson.<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:guest|guest]] and made on <tt>2009-06-03 17:59:09 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2010-02-19 06:15:39 UTC</tt>.<br>
-: The original revision id was <tt>76664493</tt>.<br>
+: The original revision id was <tt>121498917</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>
 <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=
+-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.
+-edo has been labeled a "Porcupine" temperament by Paul Erlich, which has stuck ever since. The name comes from a piece called the "Mizarian Porcupine Overture" by Herman Miller. It also falls into the catagory of kleisma tunings along with 53 and 19.
+""In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the octave into 15 equal steps. Each step represents a frequency ratio of 2 1/15, or 80 cents. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of 5 equal divisions of the octave. 15-ET matches the 11:8 and 16:11 ratios, and does not match the 7:5 or 10:7 tritone."
+[[image:http://www.swordguitars.com/Sword_15edoclassicalsm.JPG]](15-tone Classical Guitar by Ron Sword)
 ==Theory==
@@ Line 25: / Line 35: @@
 <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;
   &lt;br /&gt;
+-edo is a 7-limit tuning because of the amount of septimal intervals, but it does contain 11-limit intervals.&lt;br /&gt;
+-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 catagory of kleisma tunings along with 53 and 19.&lt;br /&gt;
+&lt;br /&gt;
+&amp;quot;&amp;quot;In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the octave into 15 equal steps. Each step represents a frequency ratio of 2 1/15, or 80 cents. Because 15 factors into 3 times 5, it can be seen as being made up of three scales of 5 equal divisions of the octave. 15-ET matches the 11:8 and 16:11 ratios, and does not match the 7:5 or 10:7 tritone.&amp;quot;&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
+&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;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;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;