The 3 5 7 cube-continued

D--------A
/| /|
/ | / |
E--------B |
| | | |
| Bb----|--F
| / | /
|/ |/
C--------G

This contains the gamut of chords-62 total-that i have formed out of the basic 8-note"cube"of factors 3,5 and 7.

http://www.angelfire.com/mo/oljare/cubetest.mid

-Sprout From Tonic-

t 3 5 7
-==-==-==-
C G E Bb (harmonic)
G C B F
E B C D
B E G A
Bb F D C
F Bb A G
D A Bb E
A D F B (utonal)

-Series-

t 3 5 7
-==-==-==-
C G B A
G C E D
E B G F
B E C Bb
Bb F A B
F Bb D E
D A F G
A D Bb C

t 3 7 5
-==-==-==-
C G F A
G C Bb D
E B A F
B E D Bb
Bb F G B
F Bb C E
D A B G
A D E C

t 5 3 7
-==-==-==-
C E B A
G B E D
E C G F
B G C Bb
Bb D A G
F A D E
D Bb F G
A F Bb C

t 5 7 3
-==-==-==-
C E D A
G B A E
E C Bb F
B G F C
Bb D E B
F A B E
D Bb C G
A F G C

t 7 3 5
-==-==-==-
C Bb F A
G F Bb D
E D A F
B A D Bb
Bb C G B
F G C E
D E B G
A B E C

t 7 5 3
-==-==-==-
C Bb D A
G F A D
E D Bb F
B A F Bb
Bb C E B
F G B E
D E C G
A B G C

-Square Chords-

(3,5)
C G E B
Bb F D A

(3,7)
E B D A
C G Bb F

(5,7)
C E Bb D
G B F A

Midi file ends with the fundamental tetrads:

(Harmonic)
C E G Bb

(Utonal)
A B D F

����������������������������������������������������������������������
Mats �ljare
Eskilstuna,Sweden
http://www.angelfire.com/mo/oljare
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>Hi Mats -- again, you'd get more consonant chords if you chose a
>symmetrical
>structure (like the hexany or diamond) in the triangular (that is,
>octahedral-tetrahedral) lattice rather than the cubic lattice . . .

I did the cube experiment because of its relevance to the Euler-Fokker genera.And i�ve never been able to grasp triangular lattices.

����������������������������������������������������������������������
Mats �ljare
Eskilstuna,Sweden
http://www.angelfire.com/mo/oljare
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