Vulture comma: Difference between revisions

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**Imported revision 248751015 - Original comment: **
 
m Cleanup
 
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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 = 10 485 760 000 / 10 460 353 203
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-26 23:50:56 UTC</tt>.<br>
| Name = vulture comma
: The original revision id was <tt>248751015</tt>.<br>
| Color name = ssy<sup>4</sup>2, Sasaquadyo comma
: 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">|24 -21 4&gt;, the vulture comma of 4.200 cents, is the amount by which four intervals of 320/243 exceeds 3, in other words (320/243)^4/3. Tempering it out leads to vulture temperament.</pre></div>
The '''vulture comma''' ([[monzo]]: {{monzo| 24 -21 4 }}, [[ratio]]: 10 485 760 000 / 10 460 353 203) of 4.200 [[cent]]s, is the amount by which four grave fourth intervals of [[320/243]] exceed [[3/1]], in other words (320/243)<sup>4</sup>/3. It is also the amount by which a stack of four [[syntonic comma]]s falls short of the [[256/243]] Pythagorean limma, as well as the amount by which a stack of three [[729/640]] acute whole tones fall short of a [[40/27]] classic grave fifth.
<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;vulture comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;|24 -21 4&amp;gt;, the vulture comma of 4.200 cents, is the amount by which four intervals of 320/243 exceeds 3, in other words (320/243)^4/3. Tempering it out leads to vulture temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>
== Temperaments ==
Tempering out this comma leads to the [[vulture family]] of temperaments.
 
== Etymology ==
The vulture comma was named by [[Paul Erlich]] in 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>.
 
== Notes ==
 
[[Category:Vulture]]
[[Category:Commas with unknown etymology]]

Latest revision as of 12:43, 19 February 2025

Interval information
Ratio 10485760000/10460353203
Factorization 224 × 3-21 × 54
Monzo [24 -21 4
Size in cents 4.199837¢
Name vulture comma
Color name ssy42, Sasaquadyo comma
FJS name [math]\displaystyle{ \text{m2}^{5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 66.5719
Weil norm (log2 max(n, d)) 66.5754
Wilson norm (sopfr(nd)) 131
Comma size small
Open this interval in xen-calc

The vulture comma (monzo: [24 -21 4, ratio: 10 485 760 000 / 10 460 353 203) of 4.200 cents, is the amount by which four grave fourth intervals of 320/243 exceed 3/1, in other words (320/243)4/3. It is also the amount by which a stack of four syntonic commas falls short of the 256/243 Pythagorean limma, as well as the amount by which a stack of three 729/640 acute whole tones fall short of a 40/27 classic grave fifth.

Temperaments

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

Etymology

The vulture comma was named by Paul Erlich in 2002[1].

Notes