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tetrachords in Little Piece for Lou Harrison

🔗Christopher Bailey <cb202@...>

2/22/2003 4:54:52 PM

Oh yes. . . .some deets:

I'm experimenting with some "tetrachordal" stuff from the Chalmers book.

Each phrase is in a different tetrachord. They are all actually
pentachords, with hyperhypate (the tone some kind of whole step below the
"tonic").

In the final phrase, the two instruments are in two different
tetrachords, a diatonic and a chromatic.

phrase 1: Archytas' enharmonic:
28/27 36/35 5/4 4/3

phrase 2: Ptolemy's soft chromatic:
28/27 15/14 6/5 4/3

phrase 3:
pitches, not intervals:
1/1 49/48 6/5 4/3 7/4
I made that one up, so the second note forms a 7/6 with the
hyperhypate.

phrase 4:

flute:
pitches, not intervals:
9/8 10/9 16/15 27/20
(Again, I made it up. a chromatic, with second degree forming a
5/4 with the degree "below" the tonic.)

harp:
pitches, not intervals:
1/1 49/48 21/20 4/3 7/4