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Vishnu comma: Difference between revisions

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**Imported revision 248752601 - Original comment: **
 
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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 = 6115295232/6103515625
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-27 00:09:34 UTC</tt>.<br>
| Name = vishnu comma, vishnuzma, semisuper comma
: The original revision id was <tt>248752601</tt>.<br>
| Color name = sg<sup>14</sup>4, sasepbigu 4th
: 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>
The '''vishnu comma''', '''vishnuzma''' or '''semisuper comma''' ([[ratio]]: 6 115 295 232 / 6 103 515 625, [[monzo]]: {{monzo| 23 6 -14 }}), is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 3.34 [[cent]]s. It is the amount by which a stack of seven [[25/24|classical chromatic semitones]] falls short of a [[4/3|just perfect fourth]], in other words the interval (4/3)/(25/24)<sup>7</sup>. Equivalently, it is the amount by which a stack of fourteen [[5/4|classical major thirds]] misses the [[729/512|Pythagorean augmented fourth]].
<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">6115295232/6103515625 = |23 6 -14&gt;, the vishnuzma or semisuper comma of 3.338 cents, is the amount by which seven [[25_24|chromatic semitones]] fall short of a just fourth; in other words, the interval (4/3)/(25/24)^7. Tempering it out leads to [[Vishnuzmic family|vishmuzzmic temperament]].</pre></div>
 
<h4>Original HTML content:</h4>
== Temperaments ==
<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;vishnuzma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;6115295232/6103515625 = |23 6 -14&amp;gt;, the vishnuzma or semisuper comma of 3.338 cents, is the amount by which seven &lt;a class="wiki_link" href="/25_24"&gt;chromatic semitones&lt;/a&gt; fall short of a just fourth; in other words, the interval (4/3)/(25/24)^7. Tempering it out leads to &lt;a class="wiki_link" href="/Vishnuzmic%20family"&gt;vishmuzzmic temperament&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Tempering out]] this comma leads to the 5-limit [[vishnu]] temperament.
 
See [[Vishnu family]] for the [[family]] of rank-2 temperaments where it is tempered out.
 
== Etymology ==
This comma was first named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''semisuper'', for one possible generator of the temperament was a "semisuper fourth"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>. ''Semisuper comma'' appeared shortly after<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>. It is not clear yet how and why the later names ''vishnu'' (for the temperament) and ''vishnuzma'' (for the comma) were added.
 
== References ==
 
[[Category:Vishnu]]
[[Category:Commas with unknown etymology]]
Retrieved from "https://en.xen.wiki/w/Vishnu_comma"