User:Aura/4191814edo: Difference between revisions
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== Theory == | == Theory == | ||
This EDO has a consistency limit of 21, which is the most impressive out of all the 3-2 [[telicity|telic]] multiples of [[190537edo]]. It tempers out the [[Archangelic comma]] in the 3-limit, and though this system's 5-limit and 7-limit are rather lackluster for an EDO this size, the representation of the 11-prime is a bit better, and the representations of the 13-prime, 17-prime, and 19-prime are excellent, all which help to bridge the lackluster 5-prime and 7-prime. Thus, this system is worthy of a great deal of further exploration in the [[19-limit]]. | This EDO has a consistency limit of 21, which is the most impressive out of all the 3-2 [[telicity|telic]] multiples of [[190537edo]]. It tempers out the [[Archangelic comma]] in the 3-limit, and though this system's 5-limit and 7-limit are rather lackluster for an EDO this size, the representation of the 11-prime is a bit better, and the representations of the 13-prime, 17-prime, and 19-prime are excellent, all which help to bridge the lackluster 5-prime and 7-prime. Thus, this system is worthy of a great deal of further exploration in the [[19-limit]]. | ||
In this system, the [[perfect fourth]], at 1739760\4191814 is divisible by the prime factors of 2, 3, 5, 11 and 659. This means that as in [[159edo]], the perfect fourth is divisible by 66, and thus, this system can offer a more accurate version of [[Ozan Yarman]]'s original 79-tone system. | |||
{{Harmonics in equal|4191814}} | {{Harmonics in equal|4191814}} | ||
[[Category:Equal divisions of the octave|#######]] <!-- 7-digit number --> | [[Category:Equal divisions of the octave|#######]] <!-- 7-digit number --> | ||