441-et 1/4.015-comma meantone

441-et supports an almost exact 1/4-comma meantone; the 5 of 441-et is
2^10 = 1024 steps, a number which is, obviously, divisible by 4. Hence
we may notate every note of 441 in what is, effectively, 1/4-comma
meantone notation. That means we can do ennealimmal, semithirds, and
effective 7-limit JI in 1/4-comma meantone notation, or close enough
for government work. Of course, the results will be a mess unless more
symbols are introduced.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <genewardsmith@...>
wrote:
>
> 441-et supports an almost exact 1/4-comma meantone; the 5 of 441-et
is
> 2^10 = 1024 steps, a number which is, obviously, divisible by 4.
Hence
> we may notate every note of 441 in what is, effectively, 1/4-comma
> meantone notation.

If someone really wants to do this, here's how: the 1/4 comma meantone
fifth of 441 is 256 steps, so if n is the number of steps associated by
<441 699 1024 1238| to a 7-limit, then n/256 mod 441, which is the same
as 205*n mod 441, is how many fifths up or down (using the range -220
to +220) to get to the octave class in question. So, for instance, the
fifth, which is 258 steps, is 205*258 mod 441 = -30 meantone fifths,
and is notated as Bbbbbb. A pure major triad is C-E-Bbbbbb. B followed
by 30 sharps is a 7. One may suspect this system isn't really very
practical.