97ed9: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | |||
== Theory == | |||
97ed9 corresponds to 30.6001…edo. Each step of 97ed9 corresponds closely to five steps of [[153edo]]. | |||
97ed9 features a well-balanced [[harmonic series segment]] from 4 to 9 and another from 39 to 50. It performs well across all [[prime harmonics]] from 5 to 19, with the exception of 13, which is slightly flat. | 97ed9 features a well-balanced [[harmonic series segment]] from 4 to 9 and another from 39 to 50. It performs well across all [[prime harmonics]] from 5 to 19, with the exception of 13, which is slightly flat. | ||
97ed9 sets a height record on the [[The Riemann zeta function and tuning|Riemann zeta function]] with [[The Riemann zeta function and tuning#Removing primes|primes 2 and 3 removed]], approximating 30. | 97ed9 sets a height record on the [[The Riemann zeta function and tuning|Riemann zeta function]] with [[The Riemann zeta function and tuning #Removing primes|primes 2 and 3 removed]], approximating 30.59745…edo. This record remains unbeaten until approximately 41.3478…edo. | ||
Additionally, 97ed9 is close to [[125zpi]] (see [[Zeta peak index]]). | Additionally, 97ed9 is close to [[125zpi]] (see [[Zeta peak index]]). | ||
== Harmonic series == | === Harmonic series === | ||
=== 2 to 19 === | === 2 to 19 === | ||
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== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||