9&11 poptimal secor

The 9 and 11 poptimal range intersect only at the minimax for 9 and
11, which is the (18/5)^(1/19) secor. The continued fraction for this
gives
10, 31, 41, 72, 329, 2046 ... as the et convergents. The 7/72 secor is
between the poptimal range for 9 and and 11 and the range for 5 and 7,
which makes it an all-purpose utility choice, and it's actually
possible that the 11-limit poptimal range includes it, since it at
least gets quite close.

The 5 and 7 limit minimax tuning is (12/5)^(1/13), which defines the
upper part of their range. Is either of these the official George
Secor secor?

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> The 9 and 11 poptimal range intersect only at the minimax for 9 and
> 11, which is the (18/5)^(1/19) secor. The continued fraction for
this
> gives
> 10, 31, 41, 72, 329, 2046 ... as the et convergents. The 7/72 secor
is
> between the poptimal range for 9 and and 11 and the range for 5 and
7,
> which makes it an all-purpose utility choice, and it's actually
> possible that the 11-limit poptimal range includes it, since it at
> least gets quite close.
>
> The 5 and 7 limit minimax tuning is (12/5)^(1/13), which defines the
> upper part of their range. Is either of these the official George
> Secor secor?

The first one -- (18/5)^(1/19) -- is. He chose it because it's the 11-
(odd-)limit minimax.