The Riemann zeta function and tuning: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
m "Cosine relative error" isn't a proper noun |
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Let's take a breather and see what we've got. | Let's take a breather and see what we've got. | ||
=== Interpretation of results: " | === Interpretation of results: "cosine relative error" === | ||
For every strictly positive rational n/d, there is a cosine with period 2π log<sub>2</sub>(n/d). This cosine peaks at {{nowrap|x {{=}} N/log<sub>2</sub>(n/d)}} for all integer N, or in other words, the Nth-equal division of the rational number n/d, and hits troughs midway between. | For every strictly positive rational n/d, there is a cosine with period 2π log<sub>2</sub>(n/d). This cosine peaks at {{nowrap|x {{=}} N/log<sub>2</sub>(n/d)}} for all integer N, or in other words, the Nth-equal division of the rational number n/d, and hits troughs midway between. | ||