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> [Paul Erlich, TD 499.16]
>
> [Paul]
>>> Aha! By the way, Busoni would probably have no qualms about
>>> writing an Ab for a G# or vice-versa.
>
> [me, monz]
>> I wouldn't be too hasty to assert that.
>
>> Even tho (AFAIK) Busoni left no microtonal compositions,
>> theoretically, he was an advocate of 36-tET/-EDO.
>> (see Busoni 1962, p 93-95)
>
> [Paul]
> That doesn't matter. 36-tET has the basic structural intervals
> of tonal music (fifths and thirds) in exactly the same tuning
> as 12-tET. Therefore, Ab and G# are unequivocally the same
> in 36-tET. Busoni wasn't after restoring the subtle pitch
> distinction of the meantone era. He was satisfied with his
> Bach in 12-tET. 36-tET was meant to be an expansion for
> future music, not past music.

OK, those are both good points.

But still, 36-tET *does* provide 2^(23/36) = ~767 cents,
which is a pretty good approximation of 16:25 = ~773 cents,
and which I would be tempted to use in some of Busoni/Bach's
'augmented chords'.

The other possibility, 2^25/36 = ~833 cents, doesn't have
as obvious a cognate in 5-limit JI, the only ones close
enough being 16384/10125 = (3^-4)*(5^-3) = ~833 cents and
its schismatic relative 81/25 = (3^4)*(5^-2) = ~835 cents.
I say that these are not as obvious because they're quite
far from 1/1, and thus would most likely only be implied
in a fairly large set of pitches; unless 'extended-reference'
comes into play (heh heh...).

Do you have a reference that confirms that Busoni 'was
satisfied with his Bach in 12-tET'?

Altho not tuning-related, I would like to point out that
Busoni made a 'concert arrangement' of the 2nd of Schoenberg's
_3 Piano Pieces, op 11_ (changing 'octave'-registration, etc.,
to make it 'more pianistic', and for which he was severely
criticized by Schoenberg), indicating that he had no problem
with producing his own version of 'past music', even when
the composer was still alive.

-monz

Joseph L. Monzo Philadelphia monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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> [Scott Whitman, TD 501.5]
> Please remove my name and e-mail address from all your
> lists immediately.
>
> [then Scott quoted my musings on Busoni and 36-tET]

It's nice to finally have proof that *I* drove away
one of the unworthy. :)

-monz

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🔗ProGRRLBoi@xxx.xxx

🔗Scott Whitman <azoth@att.net>

🔗Joe Monzo <monz@juno.com>