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 (992edo), or 992-tone equal temperament (992tet), 992 equal temperament (992et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 992 equal parts of about 1.21 ¢ each.

Theory

992edo supports the windrose temperament in the 7-limit.

It is a decent 19-limit system, although it is no longer consistent in the 9-odd-limit due to 9/8 being 1 step off of two stacked 3/2s.

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)