Lumatone mapping for tetracot
This Lumatone keyboard mapping is for temperaments shaped like tetracot, which divides 3/2 into four equal parts resulting in a 6L 1s scale. The notation used here is that A-G is Tetracot[7], where G-A is the unique small step. In other words, every pair of consecutive letters of the alphabet (so not G-A) is a tetracot generator.
This mapping has the same overall shape as the "compressed" mapping for porcupine, but because the chroma goes in the other direction, this is already optimal and there is no reason to go to a more "expanded" mapping.
F^
G^
F
G
A^
B^
C^
D^
E^
F^
G^
Gv
A
B
C
D
E
F
G
A^
B^
C^
D^
E^
F^
G^
Av
Bv
Cv
Dv
Ev
Fv
Gv
A
B
C
D
E
F
G
A^
B^
C^
D^
E^
F^
G^
Av
Bv
Cv
Dv
Ev
Fv
Gv
A
B
C
D
E
F
G
A^
B^
C^
D^
E^
F^
G^
Av
Bv
Cv
Dv
Ev
Fv
Gv
A
B
C
D
E
F
G
A^
B^
Av
Bv
Cv
Dv
Ev
Fv
Gv
A
B
C
Av
Bv
Cv
Locations of harmonics in Monkey mapping
The specific temperament mapping used here is 13-limit monkey.
9/8
5/4
11/8
15/8
1/1
3/2
9/8
5/4
11/8
15/8
13/8
1/1
3/2
9/8
5/4
11/8
15/8
13/8
1/1
3/2
9/8
5/4
11/8
15/8
7/4
13/8
1/1
3/2
9/8
7/4
13/8
1/1
7/4
7/4
External links
- The monkey puzzle by Herman Miller