96ed5: Difference between revisions
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{{Infobox ET}} | |||
{{ED intro}} | |||
== Theory == | == Theory == | ||
This non-octave, non-tritave scale features a well-balanced [[harmonic series segment]] from 5 to 9, and performs exceptionally well across all [[prime harmonics]] from 5 to 23, with the exception of 19. | This non-octave, non-tritave scale features a well-balanced [[harmonic series segment]] from 5 to 9, and performs exceptionally well across all [[prime harmonics]] from 5 to 23, with the exception of 19. | ||
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{{Harmonics in equal|96|5|1|prec=1|columns=15}} | {{Harmonics in equal|96|5|1|prec=1|columns=15}} | ||
{{Harmonics in equal|96|5|1|prec=1|columns=16|start=16}} | {{Harmonics in equal|96|5|1|prec=1|columns=16|start=16}} | ||
== Optimization == | |||
The local maxima for the finite Euler product over the primes 5.7.11.13.17.23 is 29.0283 cents. | |||
{{Harmonics in cet|29.0283|columns=15|title=Approximation of harmonics in optimized 96ed5}} | |||
{{Harmonics in cet|29.0283|columns=16|start=16|title=Approximation of harmonics in optimized 96ed5}} | |||
== Intervals == | |||
{{Interval table}} | |||
{{todo|expand}} | |||