442edo

← 441edo

442edo

443edo →

Prime factorization	2 × 13 × 17
Step size	2.71493 ¢
Fifth	259\442 (703.167 ¢)
Semitones (A1:m2)	45:31 (122.2 ¢ : 84.16 ¢)
Dual sharp fifth	259\442 (703.167 ¢)
Dual flat fifth	258\442 (700.452 ¢) (→ 129\221)
Dual major 2nd	75\442 (203.62 ¢)
Consistency limit	3
Distinct consistency limit	3

442 equal divisions of the octave (abbreviated 442edo or 442ed2), also called 442-tone equal temperament (442tet) or 442 equal temperament (442et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 442 equal parts of about 2.71 ¢ each. Each step represents a frequency ratio of 2^1/442, or the 442nd root of 2.

There is a very good 6/5 at 116\442.

Harmonics

Approximation of odd harmonics in 442edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.21	-0.79	+0.40	-0.29	-0.19	+1.10	+0.42	+0.93	+1.13	-1.10	-1.13
	Relative (%)	+44.7	-29.2	+14.9	-10.7	-6.9	+40.6	+15.4	+34.1	+41.6	-40.4	-41.4
Steps (reduced)		701 (259)	1026 (142)	1241 (357)	1401 (75)	1529 (203)	1636 (310)	1727 (401)	1807 (39)	1878 (110)	1941 (173)	1999 (231)

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