992edo: Difference between revisions

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A more accurate description would prolly not label it as "decent" in the 19-limit
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{{EDO intro|992}}
{{EDO intro|992}}


== Theory ==
992edo is a decent 7-limit system, although it is in[[consistent]] in the [[9-odd-limit]]. In the 13-limit the 992def [[val]] {{val| 992 1572 2303 '''2784''' '''3431''' '''3670''' }}, the 992ef val {{val| 992 1572 2303 2785 '''3431''' '''3670''' }} as well as the [[patent val]] {{val| 992 1572 2303 2785 3432 3671 }} are worth considering.  
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.
The equal temperament supports [[windrose]] in the 7-limit.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|992}}
{{Harmonics in equal|992}}

Revision as of 16:00, 19 October 2023

← 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

Template:EDO intro

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 (%) -28.3 -35.3 +10.4 +43.4 +24.4 +16.4 +36.5 +23.7 +5.6 -17.9 -37.3
Steps
(reduced)
1572
(580)
2303
(319)
2785
(801)
3145
(169)
3432
(456)
3671
(695)
3876
(900)
4055
(87)
4214
(246)
4357
(389)
4487
(519)