Vishnuzma: 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 = 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 '''vishnuzma''' or '''semisuper comma''' ([[ratio]]: 6115295232/6103515625, [[monzo]]: {{monzo| 23 6 -14 }}) of 3.338 [[cent]]s, is the amount by which seven [[25/24|classical chromatic semitones]] fall short of a just perfect fourth and also by which fourteen [[5/4|classical major thirds]] miss the [[729/512|pythagorean augmented fourth]]; in other words the interval (4/3)/(25/24)<sup>7</sup>.  
<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 temperaments of the [[vishnuzmic family]].
 
== Etymology ==
This comma was 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 yet to be found out how and why the later name ''vishnuzma'' was added.
 
== Notes ==
 
[[Category:Vishnuzmic]]
[[Category:Commas with unknown etymology]]

Latest revision as of 05:38, 17 April 2025

Interval information
Ratio 6115295232/6103515625
Factorization 223 × 36 × 5-14
Monzo [23 6 -14⟩
Size in cents 3.338011¢
Names vishnuzma,
semisuper comma
Color name sg144, sasepbigu 4th
FJS name [math]\displaystyle{ \text{7d4}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 65.0168
Weil height (log2 max(n, d)) 65.0196
Wilson height (sopfr(nd)) 134
Comma size unnoticeable
Open this interval in xen-calc

The vishnuzma or semisuper comma (ratio: 6115295232/6103515625, monzo: [23 6 -14⟩) of 3.338 cents, is the amount by which seven classical chromatic semitones fall short of a just perfect fourth and also by which fourteen classical major thirds miss the pythagorean augmented fourth; in other words the interval (4/3)/(25/24)7.

Temperaments

Tempering out this comma leads to temperaments of the vishnuzmic family.

Etymology

This comma was 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"[1]. Semisuper comma appeared shortly after[2]. It is yet to be found out how and why the later name vishnuzma was added.

Notes

  1. ↑ Yahoo! Tuning Group | Shismic & co
  2. ↑ Yahoo! Tuning Group | 5-limit comma names
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