Escapade comma: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 248663457 - Original comment: **
Jerdle (talk | contribs)
Fixed typo. ssp^94 would be very different.
 
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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 = 4294967296/4271484375
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-26 13:09:10 UTC</tt>.<br>
| Monzo = 32 -7 -9
: The original revision id was <tt>248663457</tt>.<br>
| Name = escapade comma
: The revision comment was: <tt></tt><br>
| Color name = ssg<sup>9</sup>4, sasa-tritrigu 4th
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| Comma = yes
<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">The **escapade comma** |32 -7 -9&gt; has a size of 9.492 [[cent]]s. It is the difference between nine just major thirds and seven just fourths, that is, (4/3)^7/(5/4)^9. This can also be written as (16/15)^7/(5/4)^2.
The '''escapade comma''' ({{monzo|legend=1| 32 -7 -9 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (5/3)/(16/15)<sup>8</sup>, that is, the difference between a stack of eight [[16/15|classic diatonic semitones]] and a [[5/3|classic major sixth]]. In terms of commas, it is equal to two [[128/125|lesser dieses]] minus three [[81/80|syntonic commas]] and one [[15625/15552|kleisma]], that is, (128/125)<sup>2</sup>/((15625/15552)(81/80)<sup>3</sup>).


The [[escapade family]] tempers out this [[comma]].</pre></div>
== Temperaments ==
<h4>Original HTML content:</h4>
Temperaments in the [[escapade family]] tempers out this comma.  
<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;escapade comma&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;escapade comma&lt;/strong&gt; |32 -7 -9&amp;gt; has a size of 9.492 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s. It is the difference between nine just major thirds and seven just fourths, that is, (4/3)^7/(5/4)^9. This can also be written as (16/15)^7/(5/4)^2.&lt;br /&gt;
 
&lt;br /&gt;
== Etymology ==
The &lt;a class="wiki_link" href="/escapade%20family"&gt;escapade family&lt;/a&gt; tempers out this &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
The escapade comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by [[Carl Lumma]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>.  
 
== Notes ==
 
[[Category:Escapade]]
[[Category:Commas named following events]]