855edo

← 854edo

855edo

856edo →

Prime factorization	32 × 5 × 19
Step size	1.40351 ¢
Fifth	500\855 (701.754 ¢) (→ 100\171)
Semitones (A1:m2)	80:65 (112.3 ¢ : 91.23 ¢)
Consistency limit	13
Distinct consistency limit	13

855 equal divisions of the octave (abbreviated 855edo or 855ed2), also called 855-tone equal temperament (855tet) or 855 equal temperament (855et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 855 equal parts of about 1.4 ¢ each. Each step represents a frequency ratio of 2^1/855, or the 855th root of 2.

855edo divides the steps of 171edo in five, and like 171edo, it is consistent to the 13-odd-limit, tempering out 1575/1573, 4225/4224, 6656/6655, 39366/39325, and 50421/50336 using the patent val.

Prime harmonics

Approximation of prime harmonics in 855edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.201	-0.349	-0.405	+0.261	+0.174	+0.308	+0.031	+0.498	+0.598	+0.228
	Relative (%)	+0.0	-14.3	-24.9	-28.8	+18.6	+12.4	+21.9	+2.2	+35.5	+42.6	+16.2
Steps (reduced)		855 (0)	1355 (500)	1985 (275)	2400 (690)	2958 (393)	3164 (599)	3495 (75)	3632 (212)	3868 (448)	4154 (734)	4236 (816)

Subsets and supersets

Since 855 factors into 3² × 5 × 19, 855edo has subset edos 3, 5, 9, 15, 19, 45, 57, 95, 171, and 285.