343edo: Difference between revisions
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* [[36afdo]]: 11 10 9 10 9 10 9 9 8 9 8 9 8 8 8 8 7 8 7 8 7 7 7 7 14 13 13 12 12 12 12 11 11 11 11 10 | * [[36afdo]]: 11 10 9 10 9 10 9 9 8 9 8 9 8 8 8 8 7 8 7 8 7 7 7 7 14 13 13 12 12 12 12 11 11 11 11 10 | ||
* [[72afdo]]: 5 6 5 5 4 5 5 5 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6 5 5 5 | * [[72afdo]]: 5 6 5 5 4 5 5 5 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6 5 5 5 | ||
; 343ed16 | |||
''343ed16'' is contained within 343edo (it is every 4th step of 343edo). It is like [[86edo]] with the [[octave stretching|octave stretched]] by 3.5 [[cents]]. | |||
It is quite similar to [[136edt]]. | |||
Compared to 86edo it improves harmonics 3, 5, 7 and 11. Its mappings of multiple-of-2 harmonics are very inconsistent, though some composers may enjoy this due to the potential to play tricks on the listener by having [[octave equivalence]] fall on a scale step one might not expect. | |||
Many temperaments and scales from 86edo can be used here in 343ed16 too. | |||
{{Harmonics in equal|343|16|1|intervals=integer|columns=12}} | |||
{{Harmonics in equal|86|2|1|intervals=integer|columns=12|collapsed=1|86edo for comparison}} | |||
; Others | ; Others | ||
* [[Equiheptatonic]] (as from [[7edo]]): 49 49 49 49 49 49 49 | * [[Equiheptatonic]] (as from [[7edo]]): 49 49 49 49 49 49 49 | ||
* [[49edo]]: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 | * [[49edo]]: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 | ||