Adaptive JI (was Re: [tuning] Introduction)

On Mon, 1 Mar 1999, John deLaubenfels <102074.2214@compuserve.com> wrote:
> Chords such as full diminished 7ths
> and augmented triads, creatures of equal temperament, my software simply
> leaves tuned in equal temperament.

I agree about the augmented triads, but (being a 31-toner) I kind of
like the way full diminished 7ths come out in 31TET, with the "augmented
second" going to 7:6 and the tritones going to 7:5s or 10:7s.

> Other problem chords, such as those
> with four or more notes forming consecutive fifths, may also be tuned in
> 12-tone, in which fifths aren't too bad, and thirds are at least
> preferable to those generated in 3-limit tuning!

I think most people would prefer those in something meantonish, in the
1/4 or 1/5 comma range, though IIRC (and I'm not positive that I do)
Paul Erlich has advocated something closer to 2/7 comma. I lean towards
1/4 myself--again, me being a 31-toner, that's probably not surprising.

--pH <manynote@lib-rary.wustl.edu> http://library.wustl.edu/~manynote
O
/\ "Well, so far, every time I break he runs out.
-\-\-- o But he's gotta slip up sometime . . . "

NOTE: dehyphenate node to remove spamblock. <*>