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}.

{{EDO intro|7033}} It is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak and integral edo]], though not a gap edo. 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 temperament measures #TE simple badness|TE logflat 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}.

=== Prime harmonics ===

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 {{Infobox ET}}
-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}.
+{{EDO intro|7033}} It is a  [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak and integral edo]], though not a gap edo. 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 temperament measures #TE simple badness|TE logflat 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}.
 === Prime harmonics ===
 {{Harmonics in equal|7033}}