636edo

← 635edo

636edo

637edo →

Prime factorization	22 × 3 × 53
Step size	1.88679 ¢
Fifth	372\636 (701.887 ¢) (→ 31\53)
Semitones (A1:m2)	60:48 (113.2 ¢ : 90.57 ¢)
Consistency limit	5
Distinct consistency limit	5

636 equal divisions of the octave (abbreviated 636edo or 636ed2), also called 636-tone equal temperament (636tet) or 636 equal temperament (636et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 636 equal parts of about 1.89 ¢ each. Each step represents a frequency ratio of 2^1/636, or the 636th root of 2.

Theory

Since 636 = 12 × 53, 636edo shares the excellent harmonic 3 with 53edo.

Odd harmonics

Approximation of odd harmonics in 636edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.068	+0.479	-0.901	-0.136	-0.375	-0.905	+0.411	+0.705	+0.600	+0.917	+0.028
	Relative (%)	-3.6	+25.4	-47.8	-7.2	-19.9	-48.0	+21.8	+37.4	+31.8	+48.6	+1.5
Steps (reduced)		1008 (372)	1477 (205)	1785 (513)	2016 (108)	2200 (292)	2353 (445)	2485 (577)	2600 (56)	2702 (158)	2794 (250)	2877 (333)

Subsets and supersets

Since 636 factors into 2² × 3 × 53, 636edo has subset edos 2, 3, 4, 6, 12, 53, 106, 159, 212, and 318.

Intervals

Main article: Table of 636edo intervals