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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 = 8 14 -13 |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-26 20:55:59 UTC</tt>.<br>
| | | Name = parakleisma |
| : The original revision id was <tt>248734129</tt>.<br>
| | | Color name = g<sup>13</sup>3, thegu 3rd |
| : 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 '''parakleisma''' ([[monzo]]: {{monzo| 8 14 -13 }}), is a [[small comma]] of 5.292 [[cent]]s which is the amount by which thirteen [[6/5|classical minor thirds]] exceed 32/3; in other words (6/5)<sup>13</sup>/(32/3). Tempering it out leads to the 5-limit [[parakleismic]] 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;white-space: pre-wrap ! important" class="old-revision-html">|8 14 -13>, the parakleisma, is an interval of 5.292 cents which is the amount by which thirteen minor thirds exceed 32/3; in other words (6/5)^13/(32/3). Tempering it out leads to [[Ragismic microtemperaments#Parakleismic|parakleismic temperament]].</pre></div>
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| <h4>Original HTML content:</h4>
| | == Etymology == |
| <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>parakleisma</title></head><body>|8 14 -13&gt;, the parakleisma, is an interval of 5.292 cents which is the amount by which thirteen minor thirds exceed 32/3; in other words (6/5)^13/(32/3). Tempering it out leads to <a class="wiki_link" href="/Ragismic%20microtemperaments#Parakleismic">parakleismic temperament</a>.</body></html></pre></div>
| | This comma was named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''parakleismic'', for the temperament was similar to [[kleismic]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group | Kleismic & co]</ref>. ''Parakleisma'' was back-formed from ''parakleismic'' later<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>. |
| | |
| | == Notes == |
| | |
| | [[Category:Parakleismic]] |
| | [[Category:Commas named for their regular temperament properties]] |
| Factorization
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28 × 314 × 5-13
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| Monzo
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[8 14 -13⟩
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| Size in cents
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5.291732¢
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| Name
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parakleisma
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| Color name
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g133, thegu 3rd
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| FJS name
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[math]\displaystyle{ \text{5d3}_{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 height (log2 nd)
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60.3745
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| Weil height (log2 max(n, d))
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60.379
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| Wilson height (sopfr(nd))
|
123
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| Comma size
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small
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| Open this interval in xen-calc
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The parakleisma (monzo: [8 14 -13⟩), is a small comma of 5.292 cents which is the amount by which thirteen classical minor thirds exceed 32/3; in other words (6/5)13/(32/3). Tempering it out leads to the 5-limit parakleismic temperament.
Etymology
This comma was named by Gene Ward Smith in 2001 in terms of the corresponding temperament, parakleismic, for the temperament was similar to kleismic[1]. Parakleisma was back-formed from parakleismic later[2].
Notes