7033edo
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- This revision was by author genewardsmith and made on 2015-08-21 13:09:10 UTC.
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Original Wikitext content:
The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak and integral edo]]; it is not known at this time (2015) if it is a gap edo, but it seems unlikely. This excellence is explained by the fact that it is very strong in the 17-limit, with a lower [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any smaller division, and a lower [[Tenney-Euclidean metrics#Logflat TE badness| TE loglfat badness]] than any lower edo excepting [[72edo|72]]. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.Original HTML content:
<html><head><title>7033edo</title></head><body>The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak and integral edo</a>; it is not known at this time (2015) if it is a gap edo, but it seems unlikely. This excellence is explained by the fact that it is very strong in the 17-limit, with a lower <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any smaller division, and a lower <a class="wiki_link" href="/Tenney-Euclidean%20metrics#Logflat TE badness"> TE loglfat badness</a> than any lower edo excepting <a class="wiki_link" href="/72edo">72</a>. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.</body></html>