7033edo: Difference between revisions
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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}. | 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}. | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | ||
Revision as of 22:20, 4 October 2022
| ← 7032edo | 7033edo | 7034edo → |
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}.