Enneadeca: Difference between revisions

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**Imported revision 248814989 - 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>
| Monzo = -14 -19 19
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-27 16:03:52 UTC</tt>.<br>
| Name = enneadeca, 19-tone-comma
: The original revision id was <tt>248814989</tt>.<br>
| Color name = y<sup>19</sup>-4, Neyo 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>
{{Monzo| -14 -19 19 }}, the '''enneadeca''' or '''19-tone-comma''', is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] of 2.816 [[cent]]s which is the amount by which nineteen [[6/5|classical minor thirds]] fall short of five [[2/1|octaves]], that is, 2<sup>5</sup>/(6/5)<sup>19</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">|-14 -19 19&gt;, the enneadeca or 19-tone-comma, is an interval of 2.816 cents which is the amount by which nineteen minor thirds fall short of five octaves, that is, 2^5/(6/5)^19. Equal divisions divisible by 19 less than or equal to 228 temper out the enneadeca; these include [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].</pre></div>
 
<h4>Original HTML content:</h4>
== Temperament ==
<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;enneadeca&lt;/title&gt;&lt;/head&gt;&lt;body&gt;|-14 -19 19&amp;gt;, the enneadeca or 19-tone-comma, is an interval of 2.816 cents which is the amount by which nineteen minor thirds fall short of five octaves, that is, 2^5/(6/5)^19. Equal divisions divisible by 19 less than or equal to 228 temper out the enneadeca; these include &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, &lt;a class="wiki_link" href="/38edo"&gt;38edo&lt;/a&gt;, &lt;a class="wiki_link" href="/57edo"&gt;57edo&lt;/a&gt;, &lt;a class="wiki_link" href="/76edo"&gt;76edo&lt;/a&gt;, &lt;a class="wiki_link" href="/114edo"&gt;114edo&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152edo&lt;/a&gt;, &lt;a class="wiki_link" href="/171edo"&gt;171edo&lt;/a&gt;, &lt;a class="wiki_link" href="/190edo"&gt;190edo&lt;/a&gt; and &lt;a class="wiki_link" href="/228edo"&gt;228edo&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
Tempering out the enneadeca leads to the [[enneadecal]] temperament, supported by equal divisions divisible by 19 such as [[19edo]], [[38edo]], [[57edo]], [[76edo]], [[114edo]], [[152edo]], [[171edo]], [[190edo]] and [[228edo]].  
 
== Etymology ==
This comma was named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''enneadecal''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2121.html Yahoo! Tuning Group | ''Shismic & co'']</ref>, for the temperament has 19 periods per octave. The comma was at one point dubbed ''enneadecima''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>, though it was ''enneadeca'' that stuck.
 
== See also ==
* [[Septimal enneadeca]]
 
== Notes ==
 
[[Category:Enneadecal]]
[[Category:Commas named for their periods per equave]]