680edo: Difference between revisions
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Its primes 11, 13, 17, and 19 are all approximated rather badly, but 680edo actually shines in very high prime limits, with great representation of prime 23 (inherited from [[170edo]]) and accurate representation of prime 31 as well as the entire stretch of primes from 41 to 73; even the remaining primes are often off by similar enough margins in the same direction that there are many instances of intervals between them that are approximated quite precisely, such as 37/29, of which 680edo is a weak circle. | Its primes 11, 13, 17, and 19 are all approximated rather badly, but 680edo actually shines in very high prime limits, with great representation of prime 23 (inherited from [[170edo]]) and accurate representation of prime 31 as well as the entire stretch of primes from 41 to 73; even the remaining primes are often off by similar enough margins in the same direction that there are many instances of intervals between them that are approximated quite precisely, such as 37/29, of which 680edo is a weak circle. | ||
{{Harmonics in equal|680|columns=11}} | {{Harmonics in equal|680|columns=11}} | ||
{{Harmonics in equal|680|columns= | {{Harmonics in equal|680|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 680edo (continued)}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||