User:Sintel/Zeta working page: Difference between revisions
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We then sum these weighted scores across the entire harmonic series. | We then sum these weighted scores across the entire harmonic series. | ||
The resulting value tells us how well a given equal temperament approximates the harmonic series. A higher score indicates that many important harmonics are well-represented by the system. Remarkably, this final scoring function turns out to be equivalent to the famous Riemann zeta function. | The resulting value tells us how well a given equal temperament approximates the harmonic series. A higher score indicates that many important harmonics are well-represented by the system. Remarkably, this final scoring function (given certain mathematical choices) turns out to be equivalent to the famous Riemann zeta function. | ||
== Derivation == | == Derivation == | ||