60edf: Difference between revisions
Create the page for 60edf in a rush because music now exists for it |
→Harmonics: Add some detail |
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=== Harmonics === | === Harmonics === | ||
{{Harmonics in equal|60|3|2|intervals=integer|columns=11}} | 60edf's approximations of primes are strange. Because of its small step size, it's difficult not to hear primes 2, 3, or even 13, even though they have a lot of [[relative error]]. | ||
{{Harmonics in equal|60|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of | |||
60edf is much more accurate on higher primes than on smaller primes. It approximates all primes from 17 through 31 with less than 29% relative error, but has over 43% rel. err. on 2, 3 and 13. | |||
So perhaps a reasonable - if clunky - way to interpret 60edf, is as a [[dual-n|dual]]-2, dual-3, dual-13 [[31-limit]] tuning. Extending it to the [[37-limit]] could also be an option. | |||
{{Harmonics in equal|60|3|2|intervals=prime|columns=13|title=Approximation of primes in 60edf (continued)}} | |||
{{Harmonics in equal|60|3|2|intervals=integer|columns=11|collapsed=true|title=Approximation of integers in 60edf (continued)}} | |||
{{Harmonics in equal|60|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of integers in 60edf (continued)}} | |||
=== Subsets and supersets === | === Subsets and supersets === | ||