1984edo: Difference between revisions
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{{EDO intro|1984}} | {{EDO intro|1984}} | ||
1984edo is [[consistent]] in the [[7-odd-limit]] and is a mostly sharp system, with [[3/1|3]], [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[17/1|17]] all tuned sharp. Though, the harmonics 9 and 15 are tuned flat and in consistent mapping they are one step off their [[direct approximation]]. In higher limit, 1984edo approximates well the 2.9.19.31.33 subgroup. | 1984edo is [[consistent]] in the [[7-odd-limit]] and is a mostly sharp system, with [[3/1|3]], [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[17/1|17]] all tuned sharp. Though, the harmonics 9 and 15 are tuned flat and in consistent mapping they are one step off their [[direct approximation]]. In higher limit, 1984edo approximates well the 2.9.19.31.33 [[subgroup]]. | ||
In the 7-limit the equal temperament [[tempering out|tempers out]] the [[wizma]] (420175/419904), the [[garischisma]] (33554432/33480783), and the [[pessoalisma]] (2147483648/2144153025). | In the 7-limit the equal temperament [[tempering out|tempers out]] the [[wizma]] (420175/419904), the [[garischisma]] (33554432/33480783), and the [[pessoalisma]] (2147483648/2144153025). | ||
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=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|1984}} | {{Harmonics in equal|1984}} | ||
=== Subsets and supersets === | |||
Since 1984 factors into {{factorization|1984}}, 1984edo has subset edos {{EDOs| 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, and 992 }}. | |||