343edo: Difference between revisions
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{{Harmonics in equal|343|16|1|intervals=integer|columns=12}} | {{Harmonics in equal|343|16|1|intervals=integer|columns=12}} | ||
{{Harmonics in equal|86|2|1|intervals=integer|columns=12|collapsed=1|title=86edo for comparison}} | {{Harmonics in equal|86|2|1|intervals=integer|columns=12|collapsed=1|title=86edo for comparison}} | ||
=== 34.3edo === | |||
'''34.3edo''' is contained within 343edo (it is every 10th step of 343edo). It is like [[34edo]] with the [[octave shrinking|octave compressed]] by 11.51 [[cents]]. | |||
It has a step size of 34.985{{c}}. | |||
It was discovered by chaseofspades513 and yovariable on the [[Xenharmonic Alliance]] Discord server and further described by [[Gordon Wery]], | |||
Compared to 34edo it improves harmonics 7, 11 and 13, at the expense of 2, 3 and 5. Its mappings of multiple-of-2 and multiple-of-3 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 [[34edo#Scales|scales from 34edo]] can be used here in 34.3edo too. | |||
{{Harmonics in cet|34.985|intervals=integer|columns=12|title=Approximation of harmonics in 34.3edo}} | |||
{{Harmonics in equal|34|2|1|intervals=integer|columns=12|collapsed=1|title=34edo for comparison}} | |||
=== Scales approximated from JI === | === Scales approximated from JI === | ||