7033edo

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Revision as of 22:20, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
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← 7032edo 7033edo 7034edo →
Prime factorization 13 × 541
Step size 0.170624 ¢ 
Fifth 4114\7033 (701.948 ¢)
Semitones (A1:m2) 666:529 (113.6 ¢ : 90.26 ¢)
Consistency limit 17
Distinct consistency limit 17

The 7033 equal division divides the octave into 7033 equal parts of 0.17062 cents each. It is a 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 relative error than any smaller division, and a lower TE loglfat badness than any lower edo excepting 72. A basis for its 17-limit commas is {28561/28560, 31213/31212, 37180/37179, 918750/918731, 1257795/1257728, 3070625/3070548}.