--- In tuning@y..., "monz" <monz@a...> wrote:
> i've just made a new webpage analyzing Vicentino's
> adaptive-JI tuning scheme, his "2nd tuning of 1555",
> as paul erlich always calls it.
>
> http://sonic-arts.org/monzo/vicentino/vicentino.htm

hi monz,

nice work! really, it's the meantone chain itself that should be
latticed -- the 19-tone chain is a 5-limit periodicity block with
81:80 tempered out, of course . . . the slight difference between the
chains allows one to obtain pure JI sonorities, but doesn't affect
the basic structure or function of the scale.

i like what you're saying about 217-equal, but see below.

perhaps a more impressive coincidence is that 1/4-comma meantone, if
carried out beyond 31 notes, actually repeats itself about 6 cents
away -- close to 1/4-comma! along these lines, margo schulter has
proposed a 62-tone 1/4-comma meantone chain as a marvelous tuning
system, since it practically encompasses vicentino's tuning while
allowing one to circulate around the cycle of 31 meantone fifths (or
thirds or whatever). this is an example of an NMOS (currently being
discussed on tuning-math), since 62 = 2 * the 31-tone MOS of
meantone . . . other NMOSs are helmholtz 24 and groven 36, multiples
of the 12-tone MOS of schismic temperament . . .

. . . if you take a look, i'm sure you'll find that 205-equal
provides a much better approximation of vicentino's tuning than 217-
equal does. 205-equal also gives a better approximation, than 217-
equal, of schulter 62, but 174-equal positively excels in the latter
regard.

btw, who's aaron hunt?