Temperament Question

[Paul S. Larudee]

Luca,

It's me again.  The most complete source is "Tuning" by Owen Jorgensen.  I think it
is published by Michigan State University Press.

Paul S. Larudee

luca pacha wrote:

> Hello list
>
> Is there any location where I can find the exact definition of
> all these temperaments, including the more recent ones ?
> Pietro Aaron temperament, ... and others ?
> Thank you
>
> A440A@AOL.COM wrote:
>
> > Keith writes:
> > <<  I'd like to tune her piano in a temperament in
> > which she will be able to hear as much just intonation as possible. I have
> > Jorgensen's book, and have been looking at the Pietro Aaron temperament,
> > which has a lot of just thirds, but no just fifths; and the Kirnberger
> > which has some just triads. Question: which temperament has the most just
> > intervals, or which temperament do you think will give my customer the best
> > experience of just temperament. >>
> >
> > Greetings,
> >     The "Just Intonation" is not a definitive term.  You can tune all the
> > fifths perfect, (except the last one) and have "JI".  Of course, the thirds
> > will be screaming.  You can tune eight out of 12 thirds Just, you must decide
> > which ones.  The acoustical fact with 12 note octaves is that fifths and
> > thirds will be in opposition.  Help one, damage the other!
> >    To stay in the traditional temperaments, the Kirnberger II give several
> > Just thirds and fifths, but there is a lot of tempering in there.
> > I would use the Kirnberger, since there will be a lot of string movement
> > required to reach a Aaron 1/4 comma tuning, and it is hard on the piano's
> > stability.
> > Good luck,
> > Ed Foote