Lumatone mapping for sensi

From Xenharmonic Wiki
Jump to navigation Jump to search

This Lumatone keyboard mapping is for temperaments shaped like sensi, which divides 5/3 into two equal parts resulting in a 3L 5s scale. The notation used here is that J-Q is Sensi[8], JKLMNOPQJ = sLssLsLs where L (major sen-2nd) represents 10/9 and s (minor sen-2nd) represents 13/12 ~ 14/13 ~ 15/14, and &/@ indicates up/down by chroma, which represents 28/27 ~ 36/35 ~ 40/39.

Lumatone.svg
Q
K&
J
L
N&
P&
J&
Q@
K
M
O
Q
K&
M&
O&
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
N@
P@
J@
L@
N
P
J
L
K@
M@
O@
Q@
K
N@
P@
J@
L@
K@

Locations of tonality diamond

Sensor mapping

Note the following equivalences in sensor temperament, meaning that a key labeled with one of the ratios also represents others:

  • 15/14 ~ 14/13 ~ 13/12
  • 15/13 ~ 7/6
  • 9/7 ~ 13/10
  • 18/13 ~ 7/5
  • 10/7 ~ 13/9
  • 20/13 ~ 14/9
  • 12/7 ~ 26/15
  • 24/13 ~ 13/7 ~ 28/15

The letter d refers to diminished sen-2nd (representing 21/20 ~ 25/24 ~ 27/26), and the letter c refers to the chroma (representing 26/25 ~ 28/27 ~ 33/32 ~ 36/35 ~ 40/39).

Lumatone.svg
13/7
10/9
1/1
6/5
10/7
12/7
c
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
11/8
20/11
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
18/11
13/11
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
11/8
14/11
20/11
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
11/6
11/10
18/11
13/11
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
11/8
20/11
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
13/11
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
16/11
7/4
d
5/4
3/2
9/5
13/12
9/8
13/8
-c
7/6
7/4
d

Sensis mapping

Note the following equivalences in sensis temperament, meaning that a key labeled with one of the ratios also represents others:

  • 15/14 ~ 14/13 ~ 13/12 ~ 12/11
  • 11/10 ~ 10/9
  • 15/13 ~ 7/6 ~ 13/11
  • 11/9 ~ 16/13
  • 9/7 ~ 13/10
  • 5/4 ~ 14/11
  • 11/8 ~ 18/13 ~ 7/5
  • 10/7 ~ 13/9 ~ 16/11
  • 13/8 ~ 18/11
  • 11/7 ~ 8/5
  • 20/13 ~ 14/9
  • 22/13 ~ 12/7 ~ 26/15
  • 9/5 ~ 20/11
  • 11/6 ~ 24/13 ~ 13/7 ~ 28/15

The letter d refers to diminished sen-2nd (representing 21/20 ~ 25/24 ~ 27/26 ~ 33/32), and the letter c refers to the chroma (representing 26/25 ~ 28/27 ~ 36/35 ~ 40/39).

Lumatone.svg
11/6
10/9
1/1
6/5
10/7
12/7
c
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
7/4
d
5/4
3/2
9/5
12/11
9/8
15/11
13/8
-c
7/6
7/4
d