2460edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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In light of having a large amount of divisors and precise approximation of just intonation, 2460edo has been proposed as the basis for a unit, the [[mina]], which could be used in place of the cent. Moreover, a cent is exactly 2.05 [[mina]]s, and a mem, 1\205, is exactly 12 minas. | In light of having a large amount of divisors and precise approximation of just intonation, 2460edo has been proposed as the basis for a unit, the [[mina]], which could be used in place of the cent. Moreover, a cent is exactly 2.05 [[mina]]s, and a mem, 1\205, is exactly 12 minas. | ||
2460edo is also notable for being the smallest EDO that is a multiple of 12 to be [[Minimal consistent EDOs|purely consistent]] in the 15-odd-limit. | 2460edo is also notable for being the smallest EDO that is a multiple of 12 to be [[Minimal consistent EDOs|purely consistent]] in the 15-odd-limit (i.e. it is the smallest EDO that is a multiple of 12 which maintains [[relative error]]s of less than 25% on all of the first 16 harmonics of the harmonic series). [[72edo]] comes close, but its approximations to [[13/8]] and [[15/8]] are somewhat inaccurate. | ||
== Regular temperament properties == | == Regular temperament properties == | ||