50/49: Difference between revisions
Wikispaces>genewardsmith **Imported revision 244913719 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 244988225 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-09 03:11:33 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>244988225</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | 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> | <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 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. | <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 **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]]. | ||
[[http://en.wikipedia.org/wiki/Septimal_sixth-tone]]</pre></div> | [[http://en.wikipedia.org/wiki/Septimal_sixth-tone]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>50_49</title></head><body>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. | <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>The <strong>septimal sixth-tone</strong> or <strong>jubilisma</strong>, 50/49, is the only superparticular <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 /> | ||
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<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> | <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> | ||