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| {{Infobox ET | | {{Mathematical interest}} |
| | Prime factorization = 3<sup>2</sup> × 11 × 19 × 53
| | {{Infobox ET}} |
| | Step size = 0.012037¢
| | {{ED intro}} |
| | Fifth = 58317\99693 = 701.959¢
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| | Major 2nd = 16941\99693 = 203.918¢
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| | Minor 2nd = 7494\99693 = 90.205¢
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| | Augmented 1sn = 9447\99693 = 113.713¢
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| }} | |
| {{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, using inconsistent approximation for each harmonic, for the first 547 harmonics (547 being the 100th prime number).
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| == Theory ==
| | 99693edo 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}}
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| [[Category:Equal divisions of the octave]]
| | === Prime harmonics === |
| [[Category:99693edo| ]] <!-- main article -->
| | {{Harmonics in equal|99693|columns=15|prec=3}} |