8539edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2014-05-25 17:55:53 UTC.
- The original revision id was 511123830.
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Original Wikitext content:
The 8539 equal temperament divides the octave into 8539 equal parts of 0.1405 cents each. While it may strike many people as too large to be practical, it's seen actual use as a bookeeping device to keep track of higher-limit intervals which have been allowed to freely modulate, and has been proposed as a unit of interval measure, the [[tina]] (see http://www.tonalsoft.com/enc/t/tina.aspx.) This is because it is a very strong higher limit system, distinctly consistent through the 27 limit, and is both a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak]] and zeta integral tuning. In the 13-limit, the only smaller systems with a lower logflat badness are 72, 270, 494, 5585 and 6079; in the 17-limit, that becomes 72, 494, 1506, 3395 and 7033. In the 19-limit, where it really shines, nothing beats it in terms of logflat badness until 20203
Original HTML content:
<html><head><title>8539edo</title></head><body>The 8539 equal temperament divides the octave into 8539 equal parts of 0.1405 cents each. While it may strike many people as too large to be practical, it's seen actual use as a bookeeping device to keep track of higher-limit intervals which have been allowed to freely modulate, and has been proposed as a unit of interval measure, the <a class="wiki_link" href="/tina">tina</a> (see <!-- ws:start:WikiTextUrlRule:2:http://www.tonalsoft.com/enc/t/tina.aspx --><a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/t/tina.aspx" rel="nofollow">http://www.tonalsoft.com/enc/t/tina.aspx</a><!-- ws:end:WikiTextUrlRule:2 -->.) This is because it is a very strong higher limit system, distinctly consistent through the 27 limit, and is both a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak</a> and zeta integral tuning. In the 13-limit, the only smaller systems with a lower logflat badness are 72, 270, 494, 5585 and 6079; in the 17-limit, that becomes 72, 494, 1506, 3395 and 7033. In the 19-limit, where it really shines, nothing beats it in terms of logflat badness until 20203</body></html>