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🔗Robert Walker <robertwalker@...>

6/28/2002 4:27:01 PM

Hi Paul,

> here, since the fifth is less than 4/7 octave, the 12-tone scale
> comes up out of order. pretty neat, though hardly anyone would call
> it meantone . . . this temperament is in fact defined by the comma
> obtained by dividing 11/9 by 32/27, namely 33:32.

I might just leave it like that- it is easy enough to re-order
the scale in ascending order in the Scale window.

> yes they make perfect sense, and are examples of linear temperaments
> (not meantone in principle, though), in particular they are examples
> of the subset of linear temperaments where the ~3:2 ("perfect fifth")
> is the generator

What' I've done is to change the window caption if the user
selects or enters anything other than a syntonic comma.

🔗paulerlich <paul@...>

6/28/2002 8:55:16 PM

--- In MakeMicroMusic@y..., "Robert Walker" <robertwalker@n...> wrote:

> > yes they make perfect sense, and are examples of linear
temperaments
> > (not meantone in principle, though), in particular they are
examples
> > of the subset of linear temperaments where the ~3:2 ("perfect
fifth")
> > is the generator
>
> What' I've done is to change the window caption if the user
> selects or enters anything other than a syntonic comma.

i'm not in possession of the program right now (i bought a copy for
ara's computer), but i plan to use it a lot for linear temperaments.

even ones with a "perfect fifth" as generator.

one of my favorites is "pelogic", defined by the "comma" 135:128.

think about it!

hey, i think it's really cool you're delving into dan's ideas with
him. few have been able to understand them so far. if you come up
with any interesting proofs or anything, please report them at tuning-
math!

much love,
paul