5544edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
5544edo is consistent in the 17-odd-limit. Past the 17-limit, it has good approximations to prime harmonics 31, 37, 43, 61, 71, 79, 83, 97. | 5544edo is consistent in the 17-odd-limit. Past the 17-limit, it has good approximations to prime harmonics 31, 37, 43, 61, 71, 79, 83, 97. | ||
=== Divisors === | === Divisors === | ||
A notable divisor is [[1848edo]], which which it shares the mapping for the 11-limit. To the set of divisors of 1848edo, 5544edo also adds 18, 72, 36, 63, 126, 168, 198, 252, 396, 504, 693, 792, 924, 1386, 2772. | A notable divisor is [[1848edo]], which which it shares the mapping for the 11-limit. To the set of divisors of 1848edo, 5544edo also adds {{EDOs|18, 72, 36, 63, 126, 168, 198, 252, 396, 504, 693, 792, 924, 1386, 2772}}. | ||
In addition, it is every fifth step of 27720edo, which is a [[highly composite EDO]]. | In addition, it is every fifth step of [[27720edo]], which is a [[highly composite EDO]]. | ||
{{Harmonics in equal|5544}} | === Proposal for an interval size measure === | ||
Eliora proposes that one step of 5544edo be called '''lale''' /`leil/, due to the fact that this EDO maps lalesu-agu comma, {{Monzo|14 21 -1 0 0 0 -11}}, to one step.{{Harmonics in equal|5544}} | |||