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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>, 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>
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| <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"><html><head><title>enneadeca</title></head><body>|-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 <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/38edo">38edo</a>, <a class="wiki_link" href="/57edo">57edo</a>, <a class="wiki_link" href="/76edo">76edo</a>, <a class="wiki_link" href="/114edo">114edo</a>, <a class="wiki_link" href="/152edo">152edo</a>, <a class="wiki_link" href="/171edo">171edo</a>, <a class="wiki_link" href="/190edo">190edo</a> and <a class="wiki_link" href="/228edo">228edo</a>.</body></html></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]] |
| Factorization
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2-14 × 3-19 × 519
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| Monzo
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[-14 -19 19⟩
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| Size in cents
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2.815547¢
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| Names
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enneadeca,
19-tone-comma
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| Color name
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y19-4, Neyo comma
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| FJS name
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[math]\displaystyle{ \text{8d}{-4}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
|
| Special properties
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reduced
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| Tenney norm (log2 nd)
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88.2309
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| Weil norm (log2 max(n, d))
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88.2333
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| Wilson norm (sopfr(nd))
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180
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| Comma size
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unnoticeable
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| Open this interval in xen-calc
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[-14 -19 19⟩, the enneadeca or 19-tone-comma, is an unnoticeable 5-limit comma of 2.816 cents which is the amount by which nineteen classical minor thirds fall short of five octaves, that is, 25/(6/5)19.
Temperament
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[1], for the temperament has 19 periods per octave. The comma was at one point dubbed enneadecima[2], though it was enneadeca that stuck.
See also
Notes