User:Fredg999/99693edo: Difference between revisions

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-{{Infobox ET
+{{Mathematical interest}}
-| Prime factorization = 3<sup>2</sup> × 11 × 19 × 53
+{{Infobox ET|debug=1}}
-| Step size = 0.012037¢
+{{ED intro}}
-| Fifth = 58317\99693 = 701.959¢
-| Major 2nd = 16941\99693 = 203.918¢
-| Minor 2nd = 7494\99693 = 90.205¢
-| Augmented 1sn = 9447\99693 = 113.713¢
-}}
-{{todo|add introduction}}
-'''99693 equal divisions of the octave''' ('''99693edo''') is the tuning that divides the [[octave]] into 99693 equal steps of about 0.012 [[cent|cents]]. It is notable for being the [[edo]] below 100000 with the lowest maximum error for the first 547 harmonics (547 being the 100th prime number).
-== Theory ==
+edo is notable for being the [[edo]] below 100000 with the lowest maximum error, using direct approximation for each harmonic, for the first 547 harmonics (547 being the 100th prime number).
-{{Odd harmonics in edo|99693|prec=3}}
-[[Category:Equal divisions of the octave]]
+=== Prime harmonics ===
-[[Category:99693edo| ]] <!-- main article -->
+{{Harmonics in equal|99693|columns=15|prec=3}}