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Re: Moonlight 15-edo

🔗Herman Miller <hmiller@IO.COM>

12/15/2003 7:10:21 PM

On Mon, 15 Dec 2003 10:29:09 -0500 (EST), Kami ROUSSEAU
<kamikulture@yahoo.ca> wrote:

>The 3rd movement had me wishing for a pitch drift in the first bars. The
>desired xenharmonic effect arrives after 4 minutes. What exactly is happening
>at this point?

There's a modulation from F# minor to G major at that point in the
original, and back to F# minor after only a few bars.

F#m | D D7 | G | D7 | G | C#7 | F#m

Nothing really exotic in 12-ET, but in 15-ET the 7th of the D\7 chord (C)
ends up splitting the minor third between the D\ and the third of the G\
major chord (B\\). There's also some nice chromaticism here (in particular
the descending G\ F/ E in the melody).

F/m | D\ D\7 | G\ | D\7 | G\ | C/7 | F/m

Most of it falls directly out of the mapping from 12-ET to 15-ET that I
used, but I did change a few notes here and there to improve the melody or
harmony.

B#=0 C#=1 D=2 D#=4 E=5 E#=6 F#=7 G=9 G#=10 A=11 A#=13 B=14