870edo

← 869edo

870edo

871edo →

Prime factorization	2 × 3 × 5 × 29
Step size	1.37931 ¢
Fifth	509\870 (702.069 ¢)
Semitones (A1:m2)	83:65 (114.5 ¢ : 89.66 ¢)
Consistency limit	7
Distinct consistency limit	7

870edo is notably strong in the subgroup of Fermat primes, 2.3.5.17.

Odd harmonics

Approximation of prime harmonics in 870edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.114	-0.107	-0.550	+0.406	-0.528	-0.128	+0.418	-0.688	-0.612	-0.208
	Relative (%)	+0.0	+8.3	-7.7	-39.9	+29.4	-38.3	-9.3	+30.3	-49.9	-44.3	-15.1
Steps (reduced)		870 (0)	1379 (509)	2020 (280)	2442 (702)	3010 (400)	3219 (609)	3556 (76)	3696 (216)	3935 (455)	4226 (746)	4310 (830)

Subsets and supersets

Since 870 factors into 2 × 3 × 5 × 29, 870edo has subset edos 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, and 435.

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