The Riemann zeta function and tuning: Difference between revisions

BudjarnLambeth (talk | contribs)
Yourmusic Productions (talk | contribs)
m Non-record edos: Fix math. 79 and 80 can't both be better than both their adjacent edos and 80 is clearly superior. 1-4 are zeta peaks, so making them also indecisive makes no sense.
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Edos with a higher zeta peak than the edos on either side of them. A helpful list for finding edos that approximate primes well in size ranges that lack any record-holding zeta edos (e.g. between 60 and 70 tones).
Edos with a higher zeta peak than the edos on either side of them. A helpful list for finding edos that approximate primes well in size ranges that lack any record-holding zeta edos (e.g. between 60 and 70 tones).


{{EDOs|5, 7, 10, 12, 15, 17, 19, 22, 24, 27, 29, 31, 34, 36, 38, 41, 43, 46, 48, 50, 53, 56, 58, 60, 63, 65, 68, 72, 75, 77, 79, 80, 82, 84, 87, 89, 91, 94, 96, 99}}…
{{EDOs|5, 7, 10, 12, 15, 17, 19, 22, 24, 27, 29, 31, 34, 36, 38, 41, 43, 46, 48, 50, 53, 56, 58, 60, 63, 65, 68, 72, 75, 77, 80, 82, 84, 87, 89, 91, 94, 96, 99}}…




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Edos which are neither local zeta edos, nor anti-zeta edos. Helpful for finding edos that are more restrictive than local zeta edos, but not as far off the deep end as anti-zeta edos. They might narrow down the range of compositional choices available so as to be not so much to promote indecision, but not so few as to promote frustration.
Edos which are neither local zeta edos, nor anti-zeta edos. Helpful for finding edos that are more restrictive than local zeta edos, but not as far off the deep end as anti-zeta edos. They might narrow down the range of compositional choices available so as to be not so much to promote indecision, but not so few as to promote frustration.


{{EDOs|1, 2, 3, 4, 9, 14, 21, 26, 32, 39, 45, 51, 54, 62, 67, 70, 74, 85, 93, 98}}…
{{EDOs| 9, 14, 21, 26, 32, 39, 45, 51, 62, 67, 70, 74, 85, 93, 98}}…