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| <h2>IMPORTED REVISION FROM WIKISPACES</h2> | | <span style="display: block; text-align: right;">[[:de:50/49 Deutsch]]</span> |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2017-11-23 15:16:58 UTC</tt>.<br>
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| : The original revision id was <tt>622274741</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <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"><span style="display: block; text-align: right;">[[xenharmonie/50_49|Deutsch]]
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| </span>
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| The **septimal sixth-tone** or **jubilisma**, 50/49, is the only [[superparticular]] [[comma]] aside from [[126_125|126/125]] which has a numerator which is neither square nor triangular, meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, 50/49 = ([[10_7|10/7]])/([[7_5|7/5]]). [[tempering out|Tempering it out]] equates the two, leading to temperaments where the square root of two does service for both. Equal temperaments tempering out 50/49 include [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]] and [[54edo]].
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| [[http://en.wikipedia.org/wiki/Septimal_sixth-tone]]</pre></div>
| | The '''septimal sixth-tone''' or '''jubilisma''', 50/49, is the only [[superparticular|superparticular]] [[Comma|comma]] aside from [[126/125|126/125]] which has a numerator which is neither square nor triangular, meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, 50/49 = ([[10/7|10/7]])/([[7/5|7/5]]). [[tempering_out|Tempering it out]] equates the two, leading to temperaments where the square root of two does service for both. Equal temperaments tempering out 50/49 include [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]] and [[54edo|54edo]]. |
| <h4>Original HTML content:</h4>
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| <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>50_49</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/50_49">Deutsch</a><br />
| | [http://en.wikipedia.org/wiki/Septimal_sixth-tone http://en.wikipedia.org/wiki/Septimal_sixth-tone] [[Category:comma]] |
| </span><br />
| | [[Category:definition]] |
| The <strong>septimal sixth-tone</strong> or <strong>jubilisma</strong>, 50/49, is the only <a class="wiki_link" href="/superparticular">superparticular</a> <a class="wiki_link" href="/comma">comma</a> aside from <a class="wiki_link" href="/126_125">126/125</a> which has a numerator which is neither square nor triangular, meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, 50/49 = (<a class="wiki_link" href="/10_7">10/7</a>)/(<a class="wiki_link" href="/7_5">7/5</a>). <a class="wiki_link" href="/tempering%20out">Tempering it out</a> equates the two, leading to temperaments where the square root of two does service for both. Equal temperaments tempering out 50/49 include <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/38edo">38</a>, <a class="wiki_link" href="/48edo">48</a> and <a class="wiki_link" href="/54edo">54edo</a>.<br /> | | [[Category:interval]] |
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| | [[Category:jubilisma]] |
| <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_sixth-tone</a></body></html></pre></div>
| | [[Category:ratio]] |
de:50/49 Deutsch
The septimal sixth-tone or jubilisma, 50/49, is the only superparticular comma aside from 126/125 which has a numerator which is neither square nor triangular, meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, 50/49 = (10/7)/(7/5). Tempering it out equates the two, leading to temperaments where the square root of two does service for both. Equal temperaments tempering out 50/49 include 12, 22, 26, 38, 48 and 54edo.
http://en.wikipedia.org/wiki/Septimal_sixth-tone