Mark Gould's scale

I analyzed the tuning information Mark Gould used in his recorder
duet, and it doesn't seem to have anything much to do with either
19-equal or semisixths, so I certainly can't make a 46-equal version
of it. Instead, it seems best described in terms of the scale
[-8, -5, -3, -2, 0, 1, 2, 3, 5, 6, 8] of meantone. The tuning is
slightly irregular, sometimes 1/5 comma, sometimes closer to 1/4 comma.
74 or 105 would be good choices, especially the latter, but there
doesn't seem much reason why we would need to stick to this region of
meantone.

--- In MakeMicroMusic@yahoogroups.com, "Gene Ward Smith"
<gwsmith@s...> wrote:

> 74 or 105 would be good choices, especially the latter, but there
> doesn't seem much reason why we would need to stick to this region of
> meantone.

Another good choice is a tuning I recently mention on tuning-math in
connection with 17 notes of meantone, (8192/13)^(1/16), which is
697.467 cents, right in the correct range. The idea behind this is
that it makes an exact 13/8 one of the intervals of the scale.

--- In MakeMicroMusic@yahoogroups.com, "Gene Ward Smith"
<gwsmith@s...> wrote:

> I analyzed the tuning information Mark Gould used in his recorder
> duet, and it doesn't seem to have anything much to do with either
> 19-equal

Really . . . well, perhaps it would be helpful for you guys to sort
out the differences between what Mark intended and what he got.
Surely if anything technical should get discussed on this list, it's
how to implement the tunings you want and get the scales you want.
The more theoretical stuff belongs elsewhere.