Mu badness: Difference between revisions
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Lériendil prefers to set the denominator to <math>\frac{\pi^{2}}{20}</math> instead, as it can be shown that this represents a stricter bound on μ and has the advantage of the maximal possible badness for an [[EDO]] being a rational number, 5/9. This also flips the result so that higher values represent worse tunings, as would be expected from a "badness" function. | Lériendil prefers to set the denominator to <math>\frac{\pi^{2}}{20}</math> instead, as it can be shown that this represents a stricter bound on μ and has the advantage of the maximal possible badness for an [[EDO]] being a rational number, 5/9. This also flips the result so that higher values represent worse tunings, as would be expected from a "badness" function. | ||
[[File:Mu badness.png|alt=Mu badness.png|1024x107px]] | |||
{| class="wikitable" | {| class="wikitable" | ||
|+Mu badness (μ<sub>s</sub>(x)) for edos, calculated up to k=100 | |+Mu badness (μ<sub>s</sub>(x)) for edos, calculated up to k=100 | ||