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French Temperament Ordinaire

🔗arl_123@hotmail.com

8/10/2001 5:04:49 AM

Hello, everyone. Can someone describe the subject temperament in terms
of the circle of fifths for a 12-tone system? IOW, starting with the
note C how is the Pythagorean (ditonic) comma destributed in terms of
each of the 12 fifths in order to achieve closure? Thanks for your
comment. Sincerely,

🔗Paul Erlich <paul@stretch-music.com>

8/10/2001 1:03:32 PM

--- In tuning@y..., arl_123@h... wrote:
> Hello, everyone. Can someone describe the subject temperament in
terms
> of the circle of fifths for a 12-tone system? IOW, starting with
the
> note C how is the Pythagorean (ditonic) comma destributed in terms
of
> each of the 12 fifths in order to achieve closure? Thanks for your
> comment. Sincerely,

The French Temperament Ordinaire differs from other well-temperaments
in that it has a few perfect fifths _wider_ than pure -- typically
the fifth Bb-F and adjacent fifths. Thus the remaining fifths have to
be narrowed by a total of more than one pythagorean comma. Generally
this means that all keys from F major through A major will be very
pure and meantone-like. Manuel may have some specific examples.