Mutt comma: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 248728935 - Original comment: **
 
m He revised it later
 
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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>
| Ratio = 476837158203125/474989023199232
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-26 19:52:58 UTC</tt>.<br>
| Name = mutt comma
: The original revision id was <tt>248728935</tt>.<br>
| Color name = L<sup>3</sup>y<sup>21</sup>-6, trila-septriyo negative 6th
: The revision comment was: <tt></tt><br>
| Comma = yes
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">|-44 -3 21&gt;, the mutt comma of 6.723 cents, is the amount by which three [[25_24|chromatic semitones]] exceed five 128/125 [[128_125|diesis]]; in other words (25/24)^3/(128/125)^5. Tempering it out leads to [[Mutt family|mutt temperament]].</pre></div>
The '''mutt comma''' ({{monzo|legend=1| -44 -3 21 }}, [[ratio]]: 476837158203125/474989023199232) is a [[small comma|small]] [[5-limit]] [[comma]] of about 6.7 [[cent]]s. It is the amount by which three [[25/24|classical chromas]] exceed five [[128/125|dieses]]; in other words (25/24)<sup>3</sup>/(128/125)<sup>5</sup>.  
<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;mutt comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;|-44 -3 21&amp;gt;, the mutt comma of 6.723 cents, is the amount by which three &lt;a class="wiki_link" href="/25_24"&gt;chromatic semitones&lt;/a&gt; exceed five 128/125 &lt;a class="wiki_link" href="/128_125"&gt;diesis&lt;/a&gt;; in other words (25/24)^3/(128/125)^5. Tempering it out leads to &lt;a class="wiki_link" href="/Mutt%20family"&gt;mutt temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
== Temperaments ==
[[Tempering out]] this comma leads to the 5-limit version of the [[mutt]] temperament.
 
== Etymology ==
This comma was named by [[Gene Ward Smith]] in 2004 in terms of the corresponding temperament, mutt, for "<u>M</u>IDI <u>u</u>nit <u>t</u>empered <u>t</u>uning".  
 
[[Category:Mutt]]
[[Category:Commas named for their regular temperament properties]]