888edo

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← 887edo

888edo

889edo →

Prime factorization	23 × 3 × 37
Step size	1.35135 ¢
Fifth	519\888 (701.351 ¢) (→ 173\296)
Semitones (A1:m2)	81:69 (109.5 ¢ : 93.24 ¢)
Dual sharp fifth	520\888 (702.703 ¢) (→ 65\111)
Dual flat fifth	519\888 (701.351 ¢) (→ 173\296)
Dual major 2nd	151\888 (204.054 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

Approximation of odd harmonics in 888edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.604	+0.173	+0.093	+0.144	+0.033	+0.013	-0.431	+0.450	-0.216	-0.511	+0.104
	Relative (%)	-44.7	+12.8	+6.9	+10.7	+2.5	+1.0	-31.9	+33.3	-16.0	-37.8	+7.7
Steps (reduced)		1407 (519)	2062 (286)	2493 (717)	2815 (151)	3072 (408)	3286 (622)	3469 (805)	3630 (78)	3772 (220)	3900 (348)	4017 (465)

888edo is excellent in the no-threes 13-limit, and it may possibly have little attention due to its lack of a perfect fifth. The usage of 3/2 is so deeply entrenched into nearly all musical traditions of the world, that temperaments which lack a perfect fifth do not get considered, even if other harmonics are excellently approximated.

888edo tempers out 6656/6655, 105644/105625, 4917248/4915625 and 35153041/35152000 in the no-threes 13 limit.