65/64: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
In [[Just_intonation|Just Intonation]], 65/64, the wilsorma, is a [[superparticular|superparticular]] interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between [[5/4|5/4]] and [[16/13|16/13]]; [[8/5|8/5]] and [[13/8|13/8]]; [[13/12|13/12]] and [[16/15|16/15]]; [[15/8|15/8]] and [[24/13|24/13]], [[13/10|13/10]] and [[32/25|32/25]]; [[20/13|20/13]] and [[25/16|25/16]], and of course, infinitely many other pairs of just intervals.
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>2014-06-15 13:14:16 UTC</tt>.<br>
: The original revision id was <tt>513997262</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">In [[Just Intonation]], 65/64, the wilsorma, is a [[superparticular]] interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between [[5_4|5/4]] and [[16_13|16/13]]; [[8_5|8/5]] and [[13_8|13/8]]; [[13_12|13/12]] and [[16_15|16/15]]; [[15_8|15/8]] and [[24_13|24/13]], [[13_10|13/10]] and [[32_25|32/25]]; [[20_13|20/13]] and [[25_16|25/16]], and of course, infinitely many other pairs of just intervals.


See: [[Gallery of Just Intervals]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
<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;65_64&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 65/64, the wilsorma, is a &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; and &lt;a class="wiki_link" href="/16_13"&gt;16/13&lt;/a&gt;; &lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt; and &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;; &lt;a class="wiki_link" href="/13_12"&gt;13/12&lt;/a&gt; and &lt;a class="wiki_link" href="/16_15"&gt;16/15&lt;/a&gt;; &lt;a class="wiki_link" href="/15_8"&gt;15/8&lt;/a&gt; and &lt;a class="wiki_link" href="/24_13"&gt;24/13&lt;/a&gt;, &lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt; and &lt;a class="wiki_link" href="/32_25"&gt;32/25&lt;/a&gt;; &lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt; and &lt;a class="wiki_link" href="/25_16"&gt;25/16&lt;/a&gt;, and of course, infinitely many other pairs of just intervals.&lt;br /&gt;
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

In Just Intonation, 65/64, the wilsorma, is a superparticular interval of around 26.8¢, nearly a quarter of a semitone or eighth of a tone. It belongs to the 13-prime limit, which means that the highest prime in the ratio is 13. 65 is 5 times 13, which means that 65/64 can be treated as a harmonic 13th above a harmonic 5th or vice versa. It is the difference between 5/4 and 16/13; 8/5 and 13/8; 13/12 and 16/15; 15/8 and 24/13, 13/10 and 32/25; 20/13 and 25/16, and of course, infinitely many other pairs of just intervals.

See: Gallery of Just Intervals