2684edo
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 2015-08-18 00:44:35 UTC.
- The original revision id was 556855705.
- The revision comment was:
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Original Wikitext content:
The 2684 division divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any division until we reach [[5585edo]]. It is distinctly consistent though the 17 limit, and is both a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak and zeta integral edo]]. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that [[22edo|22]] is a divisor.Original HTML content:
<html><head><title>2684edo</title></head><body>The 2684 division divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any division until we reach <a class="wiki_link" href="/5585edo">5585edo</a>. It is distinctly consistent though the 17 limit, and is both a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak and zeta integral edo</a>. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that <a class="wiki_link" href="/22edo">22</a> is a divisor.</body></html>