992edo

← 991edo

992edo

993edo →

Prime factorization	25 × 31
Step size	1.20968¢
Fifth	580\992 (701.613¢) (→145\248)
Semitones (A1:m2)	92:76 (111.3¢ : 91.94¢)
Consistency limit	7
Distinct consistency limit	7

992 equal divisions of the octave (abbreviated 992edo or 992ed2), also called 992-tone equal temperament (992tet) or 992 equal temperament (992et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 992 equal parts of about 1.21 ¢ each. Each step represents a frequency ratio of 2^1/992, or the 992nd root of 2.

992edo is a decent 7-limit system, although it is inconsistent in the 9-odd-limit. In the 13-limit the 992def val ⟨992 1572 2303 2784 3431 3670], the 992ef val ⟨992 1572 2303 2785 3431 3670] as well as the patent val ⟨992 1572 2303 2785 3432 3671] are worth considering.

The equal temperament supports windrose in the 7-limit.

Odd harmonics

Approximation of odd harmonics in 992edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	absolute (¢)	-0.342	-0.427	+0.126	+0.525	+0.295	+0.198	+0.441	+0.287	+0.068	-0.216	-0.452
	relative (%)	-28	-35	+10	+43	+24	+16	+36	+24	+6	-18	-37
Steps (reduced)		1572 (580)	2303 (319)	2785 (801)	3145 (169)	3432 (456)	3671 (695)	3876 (900)	4055 (87)	4214 (246)	4357 (389)	4487 (519)

Subsets and supersets

Since 992 factors into 2⁵ × 31, 992edo has subset edos 2, 4, 8, 16, 31, 32, 62, 124, 248, and 496.