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,}} ….


It's debatable whether the constraint on pure octaves is a good idea, as it could be interpreted as allowing for accounting for tuning tendency sharpward or flatward, in which case the two smallest additional edos that are strict zeta edos are [[72edo]] and [[954edo]].
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 ====