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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = tricesimoprimal ultramajor third, tricesimoprimal subfourth
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 15:28:52 UTC</tt>.<br>
| Color name = 31o3, thiwo 3rd
: The original revision id was <tt>513255140</tt>.<br>
| Sound = jid_31_24_pluck_adu_dr220.mp3
: 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>
In [[31-limit]] [[just intonation]], '''31/24''' is either the '''tricesimoprimal ultramajor third''' or '''tricesimoprimal subfourth'''. It is sharp of the [[81/64|Pythagorean major third (81/64)]] by [[248/243]], and flat of the [[4/3|perfect fourth (4/3)]] by [[32/31]]. It can be used as a [[generator]] tuning for the [[sensi]] temperament, and more accurate interpretations of the extended harmony of the [[5-limit]] [[sensipent]] temperament. In this context, it is equated to its complement relative to [[5/3]], that is, [[40/31]].
<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">**31/24**
= 2&lt;span style="font-size: 80%; vertical-align: super;"&gt;-3&lt;/span&gt; * 3&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt; * 31
443.0806 cents
[[media type="file" key="jid_31_24_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_31_24_pluck_adu_dr220.mp3|sound sample]]


The sensi supermajor third, 31/24, can be used as a generator tuning for [[Sensipent family#Sensi|sensi temperament]], especially for the 5-limit sensipent temperament. It is very close to the 24\[[65edo|65]] generator.</pre></div>
In general, it can serve as an alternative sharp [[major third (interval region)|supermajor third]] to [[9/7]], which is flat of it by [[217/216]], for greater flexibility in [[otonal]] chords containing intervals that do not have a 7 in their denominator.
<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;31_24&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;31/24&lt;/strong&gt;&lt;br /&gt;
== Approximation ==
= 2&lt;span style="font-size: 80%; vertical-align: super;"&gt;-3&lt;/span&gt; * 3&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt; * 31&lt;br /&gt;
31/24 is approximated by [[19edo|7\19]], and is extremely close to [[65edo|24\65]] (being just 0.0036{{c}} sharp of it).
443.0806 cents&lt;br /&gt;
 
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== See also ==
&lt;br /&gt;
* [[48/31]] – its [[octave complement]]
The sensi supermajor third, 31/24, can be used as a generator tuning for &lt;a class="wiki_link" href="/Sensipent%20family#Sensi"&gt;sensi temperament&lt;/a&gt;, especially for the 5-limit sensipent temperament. It is very close to the 24\&lt;a class="wiki_link" href="/65edo"&gt;65&lt;/a&gt; generator.&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[36/31]] – its [[fifth complement]]
 
[[Category:Third]]
[[Category:Supermajor third]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]
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