97ed9: Difference between revisions
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This system can be approximated as 30.6001 [[EDO]], meaning each step of 97ed9 corresponds closely to five steps of [[153edo]]. | This system can be approximated as 30.6001 [[EDO]], meaning each step of 97ed9 corresponds closely to five steps of [[153edo]]. | ||
This non-octave, non-tritave scale 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. | This non-octave, non-tritave scale 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 30.59745 EDO. This record remains unbeaten until approximately 41.3478 EDO. | 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. | ||