David, Charles, et al,
I'm coming to this discussion late. As you know, tuplets most often
involve a greater number of notes in the space of the normal number -
8th triplets usually means 3 8ths in the space of 2. However, 8ths in
duplets normally means 2 8ths in the space of 3. More and more the
old duplet has been replaced by two dotted 8ths. In standard
notation. Normally, the triplets in the example would be quarter
notes. I suppose that Bach was thinking of the possibility of 3 8ths
in the space of 4. Even though it's not standard today, once you
figure out what is meant it's helpful to see the notes as 8ths
because of the beaming. If I were to write a piece with the same
rhythmic configuration, I think I would write it in 9/8. The cantus
canon would then be written in dotted quarters and dotted 8ths and
the accompanying canon would be in regular 8ths. In any case, it's a
fantastic double canon, one of my favorites. I haven't checked the
Neue Bach Gesellschaft.
Hal Owen
On 15-Apr-07, at 6:16 PM, David W. Fenton wrote:
On 15 Apr 2007 at 14:46, Charles Small wrote:
The phenomenon in question occurs in Bach's Orgelbuchlein, #10 (In
Dulce Jubilo). The piece is in 3/2, and there are running triplets,
three equal notes to each half-note (minim). In modern usage, we'd
write a triplet of quarters (crotchets), but Bach writes triplets of
_8ths_ (quavers). For those who'd like to see it, I've posted two
snippets from the Gesellschaft edition at
http://home.earthlink.net/~mallentn/VVWMusEx.html
--
Harold Owen
1375 Olive Street #402, Eugene, OR 97401
mailto:[EMAIL PROTECTED]
Visit my web site at:
http://uoregon.edu/~hjowen/
FAX: (509) 461-3608
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