Jamesbond in 14-et

The jamesbond temperament, from the 007 in the wedgie <0 0 7 0 11 16|,
has TM basis {25/24, 81/80}. If you look at the TOP tuning of its
generator pair, you find one generator is almost exacly twice another;
this strongly suggests we may effectively identify jamesbond with an
et--but what et? The val for it needs to be of the form <7n 11n 16n
m|, and if we set n=2 and m=39 we find our answer: <14 22 32 39|. The
7 limit TOP tuning for this has an octave of 1209.43 cents; 1/7 of
this is g1 of the TOP generator pair <g1, g2> of jamesbond, which means
1/14 of it is g1/14 = (g2 + (g1-g2))/2, the average value of the two
nearly equal generators which are both between 86 and 87 cents in size,
g2 and g1-g2.

This looks to me like something Herman might want to think about; you
take TOP 14 with its stretched octaves and treat it in the 5-limit as
two 7-ets, meaning that it is a meantone with neutral thirds; to this
you add septimal harmony ad lib.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> The jamesbond temperament, from the 007 in the wedgie <0 0 7 0 11
16|,
> has TM basis {25/24, 81/80}. If you look at the TOP tuning of its
> generator pair, you find one generator is almost exacly twice
another;
> this strongly suggests we may effectively identify jamesbond with an
> et--but what et?

Did you see the horagram I posted?

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...> wrote:

> Did you see the horagram I posted?

You posted a lot of horagrams. So far I've not seen what you can do
with them you can't do with a little algebra, but maybe this horagram
will make me see the point of it all. Which one is it?

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:
>
> > Did you see the horagram I posted?
>
> You posted a lot of horagrams. So far I've not seen what you can do
> with them you can't do with a little algebra,

"A little algebra" to you is "a little forbidding" for most musicians.

> but maybe this horagram
> will make me see the point of it all. Which one is it?

jamesbond.bmp, zipped inside

/tuning-math/files/Erlich/sevenlimit.zip

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...> wrote:

> "A little algebra" to you is "a little forbidding" for most musicians.

My aging eyes have more trouble with these things than yours do also,
I suspect.