The Riemann zeta function and tuning: Difference between revisions
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We may define the '''strict zeta edos''' to be the edos that are in all four of the above lists. The list of strict zeta edos begins {{EDOs| 2, 5, 7, 12, 19, 31, 53, 270, 1395, 1578, 8539, 14348, 58973,}} …. | We may define the '''strict zeta edos''' to be the edos that are in all four of the above lists. The list of strict zeta edos begins {{EDOs| 2, 5, 7, 12, 19, 31, 53, 270, 1395, 1578, 8539, 14348, 58973,}} …. | ||
This, however, requires that an EDO's zeta peak be record-holding with both pure and detuned octaves. It is actually debatable whether or not this constraint is a good idea, as it does not account for tuning tendencies that are skewed sharpward or flatward. If detuned octaves are allowed, the two smallest additional edos that are strict zeta edos would be [[72edo]] and [[954edo]]. | |||
==== List of record zeta edos ==== | ==== List of record zeta edos ==== |