Re: Digest Number 223

rtomes@kcbbs.gen.nz (Ray Tomes) writes:
>Subject: Re: the "7 +/- 2" rule
>
>In the harmonics theory after the 7 note major scale the two notes that
>are the most significant are Eb and Bb at 7/6 and 7/4. That makes 9
>notes but I don't know whether you would think of it as a scale or not.
>
> C D Eb E F G A Bb B
>24 27 28 30 32 36 40 42 45

Very reasonable scale, but what leads you to name the new notes Eb and
Bb? A major third of 9/7 is larger even than the Pythagorean 81/64,
which is itself larger than ET12. They would be good as D# and A#,
though even then the major third from B to D# is flatter than just.

The thought has just struck me that these notes are the harmonic
sevenths (Kirnberger, 1771) of F and C, so this scale would give you a
beautiful perfect cadence in the key of F major.

--
Ken Moore
ken@hpsl.demon.co.uk
Web site: http://www.hpsl.demon.co.uk/