680edo: Difference between revisions
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680edo retains a reasonable 3rd and 5th harmonic, though nowhere near the accuracy of the prior multiple [[612edo]]; as a multiple of [[34edo]], 680edo borrows that edo's accurate representation of the interval [[25/24]], implying that the error on prime 3 is approximately twice that on prime 5. However, 680edo is most notable for its approximation of the 7th harmonic, 680 being the denominator of a semiconvergent to log<sub>2</sub>([[7/4]]). It also has a very accurate 23rd harmonic, inherited from [[170edo]]. | 680edo retains a reasonable 3rd and 5th harmonic, though nowhere near the accuracy of the prior multiple [[612edo]]; as a multiple of [[34edo]], 680edo borrows that edo's accurate representation of the interval [[25/24]], implying that the error on prime 3 is approximately twice that on prime 5. However, 680edo is most notable for its approximation of the 7th harmonic, 680 being the denominator of a semiconvergent to log<sub>2</sub>([[7/4]]). It also has a very accurate 23rd harmonic, inherited from [[170edo]]. | ||
{{Harmonics in equal|680|columns=11}} | {{Harmonics in equal|680|columns=11}} | ||
{{Harmonics in equal|680|columns= | {{Harmonics in equal|680|columns=10|start=12|collapsed=true|title=Approximation of prime harmonics in 680edo (continued)}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||