50/49
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2011-08-09 03:11:33 UTC.
- The original revision id was 244988225.
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Original Wikitext content:
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]]
Original HTML content:
<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 /> <br /> <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>