The Riemann zeta function and tuning: Difference between revisions

BudjarnLambeth (talk | contribs)
Tagged my names as idiosyncratic. Added Parker edos. Added explanations of what these lists can be used for in a musical context.
BudjarnLambeth (talk | contribs)
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=== Non-record edos ===
=== Non-record edos ===


The following lists of edos are not determined by successively large measured values, they are edos that satisfy some other property relating to zeta peaks instead.  
The following lists of edos are not determined by successively large measured values, they are edos that satisfy some other property relating to zeta peaks instead.
 


'''Local zeta edos'''{{idiosyncratic}}
'''Local zeta edos'''{{idiosyncratic}}
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'''Parker edos'''{{idiosyncratic}}
'''Parker edos'''{{idiosyncratic}}


Those non-Zeta-peak edos with a higher Zeta peak than any other non-Zeta-peak edo so far. Named after the Parker square in mathematics. A helpful list for finding an alternative to any given Zeta peak edo of similar size and accuracy but with different regular temperament properties (e.g. 9 as alternative to 10, 17 as alternative to 19).
Those non-zeta-peak edos with a higher zeta peak than any other non-zeta-peak edo so far. Named after the Parker square in mathematics. A helpful list for finding an alternative to any given zeta peak edo of similar size and accuracy but with different regular temperament properties (e.g. 9 as alternative to 10, 17 as alternative to 19).


{{EDOs|6, 8, 9, 14, 15, 17, 24, 34, 46, 58, 65, 77, 87}}…
{{EDOs|6, 8, 9, 14, 15, 17, 24, 34, 46, 58, 65, 77, 87}}…