The Riemann zeta function and tuning: Difference between revisions
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If we want to find the second-best edos ranked by zeta peaks, then given a full list of zeta peaks, we can remove the successively higher peaks to get another sequence of succesively higher peaks, which correspond to edos called '''Parker edos'''. | If we want to find the second-best edos ranked by zeta peaks, then given a full list of zeta peaks, we can remove the successively higher peaks to get another sequence of succesively higher peaks, which correspond to edos called '''Parker edos'''. | ||
Named after the Parker square in recreational mathematics, ''Parker edos'' may be defined as non-zeta-peak edos with a higher zeta peak than any smaller non-zeta-peak edo. This list can be used finding an alternative to any given zeta peak edo of similar size and still-okay accuracy, but with different regular temperament properties (e.g. 9 as alternative to 10, 17 as alternative to 19). | |||
Named after the Parker square in mathematics, ''Parker edos'' may be defined as non-zeta-peak edos with a higher zeta peak than any smaller non-zeta-peak edo. | |||
{{EDOs| 6, 8, 9, 14, 15, 17, 24, 34, 46, 58, 65, 77, 87, 111, 140, 183, 243, 301, 311, 460, 472, 525, 571, 581, 814, 836, 882, 1205,}} … | {{EDOs| 6, 8, 9, 14, 15, 17, 24, 34, 46, 58, 65, 77, 87, 111, 140, 183, 243, 301, 311, 460, 472, 525, 571, 581, 814, 836, 882, 1205,}} … | ||
We can then remove those secondary peaks again to get '''tertiary-peak edos''' | We can then remove those secondary peaks again to get '''tertiary-peak edos''': non-zeta-peak edos with a higher zeta peak than any smaller non-zeta-peak ''or'' Parker edo. | ||
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