14/13: Difference between revisions

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<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:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>~~2012~~-04-~~05 21~~:09~~:19~~ UTC</tt>.<br>

: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 22:49:09 UTC</tt>.<br>

: The original revision id was <tt>~~318105244~~</tt>.<br>

: The original revision id was <tt>513214224</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">14/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of [[5_4|5/4]]. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable [[EDO]]s 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.

<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**

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128.29824 cents

[[media type="file" key="jid_14_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_14_13_pluck_adu_dr220.mp3|sound sample]]

14/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of [[5_4|5/4]]. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable [[EDO]]s 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.)

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See: [[Gallery of Just Intervals]]</pre></div>

<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"><html><head><title>14_13</title></head><body>14/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of <a class="wiki_link" href="/5_4">5/4</a>. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable <a class="wiki_link" href="/EDO">EDO</a>s 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.<br />

|1 0 0 1 0 -1&gt;<br />

128.29824 cents<br />

<embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_14_13_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed> <a href="http://xenharmonic.wikispaces.com/file/view/jid_14_13_pluck_adu_dr220.mp3/513214122/jid_14_13_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_14_13_pluck_adu_dr220.mp3/513214122/jid_14_13_pluck_adu_dr220.mp3');">sound sample</a><br />

<br />

14/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of <a class="wiki_link" href="/5_4">5/4</a>. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable <a class="wiki_link" href="/EDO">EDO</a>s 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.<br />

<br />

The trienthird was a favorite interval of <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Avicenna" rel="nofollow">Avicenna</a> (Ibn Sina) for his scale constructions, and may be considered a smaller size of neutral second (a second between major and minor.)<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:genewardsmith|genewardsmith]] and made on <tt>2012-04-05 21:09:19 UTC</tt>.<br>
+: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 22:49:09 UTC</tt>.<br>
-: The original revision id was <tt>318105244</tt>.<br>
+: The original revision id was <tt>513214224</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">14/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of [[5_4|5/4]]. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable [[EDO]]s 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.
+<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**
+|1 0 0 1 0 -1&gt;
+.29824 cents
+[[media type="file" key="jid_14_13_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_14_13_pluck_adu_dr220.mp3|sound sample]]
+/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of [[5_4|5/4]]. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable [[EDO]]s 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.)
@@ Line 14: / Line 19: @@
 See: [[Gallery of Just Intervals]]</pre></div>
 <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 trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s 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;
+<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;&lt;strong&gt;14/13&lt;/strong&gt;&lt;br /&gt;
+|1 0 0 1 0 -1&amp;gt;&lt;br /&gt;
+.29824 cents&lt;br /&gt;
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+&lt;br /&gt;
+/13, the 2/3-tone or trienthird (one-third third) interval is a somewhat exotic 13-limit interval which, measuring about 128.3¢, is almost exactly 1/3 of a major third of &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;. The small comma (5/4)/(14/13)^3 = 10985/10976 is tempered out in such notable &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s 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;br /&gt;