User:Aura/4191814edo: Difference between revisions

Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 6: Line 6:


In this system, the [[perfect fifth]] at 2452054\4191814 is divisible by the prime factors of 2, 11, 227 and 491.  However, the [[perfect fourth]], at 1739760\4191814, has more prime divisors, namely the prime factors of 2^4, 3, 5, 11 and 659.  The latter means that just as in [[159edo]], the perfect fourth is divisible by 33, and thus, this system can offer not only a more accurate version of [[Ozan Yarman]]'s original 79-tone system.
In this system, the [[perfect fifth]] at 2452054\4191814 is divisible by the prime factors of 2, 11, 227 and 491.  However, the [[perfect fourth]], at 1739760\4191814, has more prime divisors, namely the prime factors of 2^4, 3, 5, 11 and 659.  The latter means that just as in [[159edo]], the perfect fourth is divisible by 33, and thus, this system can offer not only a more accurate version of [[Ozan Yarman]]'s original 79-tone system.
Meanwhile, although less accurate, the [[5/4]] major third at 1349463\4191814 is divisible by the prime factors of 3 and 449821, while the [[8/5]] minor sixth at 2842351\4191814 is on a prime scale step.


{{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 -->