1200edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-06-14 21:16:46 UTC.
- The original revision id was 236716894.
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Original Wikitext content:
The //1200 division// divides the octave in 1200 equal parts of exactly 1 [[cent]] each. It is notable mostly because it is the equal division corresponding to cents. 1200edo is uniquely consistent through the [[11-limit]], which means the intervals of the 11-limit tonality diamond, and hence their size in cents rounded to the nearest integer, can be found by applying the 11-limit patent val <1200 1902 2786 3369 4141|. It is [[contorted]] in the [[5-limit]], having the same mapping as 600edo. In the [[7-limit]], it tempers out 2460375/2458624 and 95703125/95551488, leading to a temperament it supports with a period of 1/3 octave and a generator which is an approximate 225/224 of 7\1200, also supported by [[171edo]]. In the 11-limit, it tempers out 9801/9800, 234375/234256 and 825000/823543, leading to a temperament with a half-octave period and an approximate 99/98 generator of 17\1200, also supported by [[494edo]].
Original HTML content:
<html><head><title>1200edo</title></head><body>The <em>1200 division</em> divides the octave in 1200 equal parts of exactly 1 <a class="wiki_link" href="/cent">cent</a> each. It is notable mostly because it is the equal division corresponding to cents.<br /> <br /> 1200edo is uniquely consistent through the <a class="wiki_link" href="/11-limit">11-limit</a>, which means the intervals of the 11-limit tonality diamond, and hence their size in cents rounded to the nearest integer, can be found by applying the 11-limit patent val <1200 1902 2786 3369 4141|. It is <a class="wiki_link" href="/contorted">contorted</a> in the <a class="wiki_link" href="/5-limit">5-limit</a>, having the same mapping as 600edo. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it tempers out 2460375/2458624 and 95703125/95551488, leading to a temperament it supports with a period of 1/3 octave and a generator which is an approximate 225/224 of 7\1200, also supported by <a class="wiki_link" href="/171edo">171edo</a>. In the 11-limit, it tempers out 9801/9800, 234375/234256 and 825000/823543, leading to a temperament with a half-octave period and an approximate 99/98 generator of 17\1200, also supported by <a class="wiki_link" href="/494edo">494edo</a>.</body></html>