Definitions of tuning terms
© 1998 by Joseph L. Monzo
All definitions by Joe Monzo unless otherwise cited
poptimal
p-optimal. For some p, 2 <= p <= infinity, we have that
the
generator
is optimal for unweighted pth powers of the absolute
values of the errors.
[from
Gene Ward Smith,
Yahoo Tuning Group
message 42429, Tue Feb 18, 2003 9:23 pm]
[from
Paul Erlich,
Yahoo Tuning Group
message 42459, Fri Feb 21, 2003 1:51 pm]
after generating the graph, i decided to attempt to localize the
minimum, and it appears that it occurs at
p=2.8149
where the optimal generator is
696.1146 cents.
any generator between that and the 1/4-comma meantone generator
696.5784 cents
is therefore poptimal for meantone.
. . . that is, if you weight all the 5-limit consonance equally . . .
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