Montal and Aristoxenes (wasHT Experience)

[Richard Moody]

----- Original Message -----
From: Michael Jorgensen <Michael.Jorgensen@cmich.edu>
To: <pianotech@ptg.org>
Sent: Tuesday, October 24, 2000 9:30 AM
Subject: Re: Montal and Aristoxenes (wasHT Experience)


> A enlightening trick to try,
>      Tune Equal Temperament using only forths, fifths, and the octave
without
> listening to any thirds and sixths.  When the temperament is all tuned and
you
> think you have it, check the thirds and sixths and see what you really
have.
> -Mike

Of course.  ANY temp including HT's and even Pythagorean tuned by ony
5ths and 4ths upon checking the 3rds and 6ths you will see what you really
have.
    What temps ever did advocate 3rds tests?   I have only two so far.
Pietro Aaron in 1600 tuning by 3rds for Meantone, and Montal in 1836 showing
3rds as tests for ET.    ---ric

ps  I shoulda said "refined" instead of "defined"  below.


>
> Richard Moody wrote:
>
> >     The modern idea is that that ET really couldn't be defined
> > until the coincident partials were understood and their beat rates could
be
> > calculated did not happen until after Helmholtz. (ca 1870).