992edo

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← 991edo992edo993edo →
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 992-tone equal temperament (992tet), 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 of 992edo represents a frequency ratio of 21/992, 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.