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]].  However, the downside is that the step size is many times smaller than the JND.
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]].


{{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 -->