5544edo

← 5543edo

5544edo

5545edo →

Prime factorization	23 × 32 × 7 × 11
Step size	0.21645 ¢
Fifth	3243\5544 (701.948 ¢) (→ 1081\1848)
Semitones (A1:m2)	525:417 (113.6 ¢ : 90.26 ¢)
Consistency limit	17
Distinct consistency limit	17

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.

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.

In addition, it is every fifth step of 27720edo, which is a highly composite EDO.

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, [14 21 -1 0 0 0 -11⟩, to one step.

Approximation of prime harmonics in 5544edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0069	+0.0499	+0.0053	-0.0192	-0.0515	+0.0229	+0.1060	+0.0806	+0.0765	-0.0139
	Relative (%)	+0.0	-3.2	+23.1	+2.4	-8.9	-23.8	+10.6	+49.0	+37.3	+35.3	-6.4
Steps (reduced)		5544 (0)	8787 (3243)	12873 (1785)	15564 (4476)	19179 (2547)	20515 (3883)	22661 (485)	23551 (1375)	25079 (2903)	26933 (4757)	27466 (5290)