14/13: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 248472841 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 248474547 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-08-25 14:34:17 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-25 14:41:22 UTC</tt>.<br>
: The original revision id was <tt>248472841</tt>.<br>
: The original revision id was <tt>248474547</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">14/13, the 2/3-tone or trienthrid (one-third third) interval is a somewhat exotic 13-limit interval which is almost exactly 1/3 of a major third of 5/4. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable divisions as 46, 84, 94, 103, 111, 121, 130, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a major third.</pre></div>
<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">14/13, the 2/3-tone or trienthrid (one-third third) interval is a somewhat exotic 13-limit interval which is almost exactly 1/3 of a major third of 5/4. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable divisions as 46, 84, 94, 103, 111, 121, 130, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a major third.
 
The trienthird was a favorite interval of [[http://en.wikipedia.org/wiki/Avicenna|Avicenna]] (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor.)</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;14_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;14/13, the 2/3-tone or trienthrid (one-third third) interval is a somewhat exotic 13-limit interval which is almost exactly 1/3 of a major third of 5/4. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable divisions as 46, 84, 94, 103, 111, 121, 130, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a major third.&lt;/body&gt;&lt;/html&gt;</pre></div>
<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;14_13&lt;/title&gt;&lt;/head&gt;&lt;body&gt;14/13, the 2/3-tone or trienthrid (one-third third) interval is a somewhat exotic 13-limit interval which is almost exactly 1/3 of a major third of 5/4. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable divisions as 46, 84, 94, 103, 111, 121, 130, 224, 270, 494 and 764, leading to a variety of temperaments in which three trienthirds make up a major third.&lt;br /&gt;
&lt;br /&gt;
The trienthird was a favorite interval of &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Avicenna" rel="nofollow"&gt;Avicenna&lt;/a&gt; (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor.)&lt;/body&gt;&lt;/html&gt;</pre></div>