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Notation suggested by structures

🔗Pierre Lamothe <plamothe@aei.ca>

2/13/2002 1:52:18 PM

I'm not musician, so I can't see fine practical implications of notation. However, understanding so well
the structures combining melodic and harmonic just relations in scales, I show in the following link a
notation suggested by the structures. The symbols used are not the point, but the entire logic and the
continuity with the past in the passage from heptatonic basis toward decatonic basis.

I would have many remarks about that, but I wait to see, first, if all that has sense for musicians.

http://www.aei.ca/~plamothe/sys72/notation.htm

Any comments ?

Pierre

🔗Pierre Lamothe <plamothe@aei.ca>

2/14/2002 12:17:10 AM

I corrected errors in notation.htm, N-arabic.gif and N-lydian.gif.

I used ib-index relative to l-miracle for certain substructures. I corrected for absolute index.
ib1215 = [1 3 5 7 9 11 15 21] = l-miracle
ib1183 = [1 3 5 7 9 .. 15 21] = l-canasta
ib151. = [1 3 5 . 9 .. 15 ..] = zarlino
ib1047 = [1 3 . 7 9 .. .. 21] = slendro
ib55.. = [1 3 5 . 9 11 .. ..] = arabic
ib183. = [1 3 5 . 9 11 15 ..] = lydian

I drawed arabic from lydian and I forgot to change the reference scale which is not lydian but RAST.

0 - 11 - 21 - 30 - 42 - 53 - 63 - 72

(11) (10) (9) (12) (11) (10) (9)

C - d# - Ev - F - G - A - Bv - C

1 - 10/9 - 11/9 - 4/3 - 3/2 - 5/3 - 11/6 - 2

Cf. <http://www.aei.ca/~plamothe/sys72/notation.htm>

Pierre