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Set mapping the 2x5 pentatonic (proper)

🔗Dan Stearns <stearns@capecod.net>

1/23/1999 6:43:28 PM

"w" is the non-specific (or generic) denomination of a whole step
"h" is the non-specific (or generic) denomination of a half step
"Es" is the h = -n Exterior set
"Ps" is the h = 0 Perimeter set
"Is" is the Interior set where n-tET > w � n-tad and h greater than or equal
to 1/n-tET
___________________________________________

0+h1+h2+w4+h5+w7

0. h(hw)(hw)
1. (hw)(hw)h
2. [wh][wh]h
4. (hw)h(hw)
5. [wh]h[wh]
7. h(hw)(hw)

2 5
4 7 5x2
6 9�
8
2x5

2 4 1 3 5
7� 9� 6� 8� 10�

Es @ 1, 3, and 5
Ps @ 2, 4, 6, 8, and 10
Is @ 7 and 9

w=2 h=1
0 1 2 4 5 7
0 171 343 686 857 1200

w=3 h=2 0 2 4 7 9 12
w=4 h=3 0 3 6 10 13 17
w=5 h=4 0 4 8 13 17 22
w=6 h=5 0 5 10 16 21 27
w=7 h=6 0 6 12 19 25 32
...
w=3 h=1
0 1 2 5 6 9
0 133 267 667 800 1200

w=4 h=2 0 2 4 8 10 14
w=5 h=3 0 3 6 11 14 19
w=6 h=4 0 4 8 14 18 24
w=7 h=5 0 5 10 17 22 29
w=8 h=6 0 6 12 20 26 34
...
w=4 h=1 0 1 2 6 7 11
w=5 h=2 0 2 4 9 11 16
w=6 h=3 0 3 6 12 15 21
w=7 h=4 0 4 8 15 19 26
w=8 h=5 0 5 10 18 23 31
...
w=5 h=1 0 1 2 7 8 13
w=6 h=2 0 2 4 10 12 18
w=7 h=3 0 3 6 13 16 23
w=8 h=4 0 4 8 16 20 28
w=9 h=5 0 5 10 19 24 33
...
w=6 h=1 0 1 2 8 9 15
w=7 h=2 0 2 4 11 13 20
w=8 h=3 0 3 6 14 17 25
w=9 h=4 0 4 8 17 21 30
w=10 h=5 0 5 10 20 25 35

Dan