There are many conceivable ways to map 18edo onto the onto the Lumatone keyboard. However, as both of its fifths are about as far away from just as possible, neither the sharp or the flat versions of the Standard Lumatone mapping for Pythagorean work particularly well. Only two generators work at all to produce single-period mos scales.
Wide fifth
7\18 produces a 5L 3s-based Jankó mapping. Bryan Deister uses this mapping in Waltz in 18edo.
0
3
1
4
7
10
13
17
2
5
8
11
14
17
2
0
3
6
9
12
15
0
3
6
9
12
16
1
4
7
10
13
16
1
4
7
10
13
16
1
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
5
8
11
14
17
2
5
8
11
14
17
2
5
8
15
0
3
6
9
12
15
0
3
6
9
4
7
10
13
16
1
4
7
14
17
2
5
8
3
6
This can be compressed down to a 2L 1s mapping that is useful for maximising range.
16
5
2
9
16
5
12
17
6
13
2
9
16
5
12
3
10
17
6
13
2
9
16
5
12
1
0
7
14
3
10
17
6
13
2
9
16
5
12
1
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
1
8
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
1
8
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
1
8
15
2
9
16
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
1
8
15
13
2
9
16
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
1
8
15
4
13
2
9
16
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
1
8
2
9
16
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
16
5
12
2
9
16
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
2
9
9
16
5
12
1
8
15
4
11
0
7
14
3
10
17
6
13
9
16
5
12
1
8
15
4
11
0
7
14
3
10
16
5
12
1
8
15
4
11
0
7
14
16
5
12
1
8
15
4
11
5
12
1
8
15
5
12
Flat neutral thirds
5\18 produces a 4L 3s-based Jankó mapping. Bryan Deister has demonstrated this mapping in Lament in 18edo (2025).
0
3
2
5
8
11
14
1
4
7
10
13
16
1
4
3
6
9
12
15
0
3
6
9
12
15
2
5
8
11
14
17
2
5
8
11
14
17
2
5
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
1
4
0
3
6
9
12
15
0
3
6
9
12
15
0
3
6
9
12
15
0
3
11
14
17
2
5
8
11
14
17
2
5
8
11
14
17
2
5
1
4
7
10
13
16
1
4
7
10
13
16
1
4
12
15
0
3
6
9
12
15
0
3
6
2
5
8
11
14
17
2
5
13
16
1
4
7
3
6
This can also be compressed down to a 3L 1s mapping that is useful if you want to keep octaves as close to horizontal as possible.
16
3
1
6
11
16
3
17
4
9
14
1
6
11
16
2
7
12
17
4
9
14
1
6
11
16
0
5
10
15
2
7
12
17
4
9
14
1
6
11
3
8
13
0
5
10
15
2
7
12
17
4
9
14
1
6
11
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
4
9
14
1
6
4
9
14
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
4
9
14
1
6
2
7
12
17
4
9
14
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
4
9
14
1
10
15
2
7
12
17
4
9
14
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
4
9
14
1
5
10
15
2
7
12
17
4
9
14
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
4
5
10
15
2
7
12
17
4
9
14
1
6
11
16
3
8
13
0
5
10
15
2
7
0
5
10
15
2
7
12
17
4
9
14
1
6
11
16
3
8
13
0
5
0
5
10
15
2
7
12
17
4
9
14
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
4
9
14
1
6
13
0
5
10
15
2
7
12
17
4
9
8
13
0
5
10
15
2
7
8
13
0
5
10
3
8
Pseudo-Isomorphic Pseudo-Diatonic
A pseudo-isomorphic pseudo-diatonic mapping for 18edo that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level — it is the 19edo diatonic layout, but with only 18 unique notes per octave. Alternatively, it can be interpreted as the 4L 3s Janko layout above, but with a duplicate of note 0 added, which allows it to support both the 4L 3s scale (3:2 step ratio) and a 5L 1s1 1s2 MODMOS scale (3:2:1 step ratio). This is demonstrated in Bryan Deister's 18edo improv (2025).
17
1
0
3
6
9
12
18
2
5
8
11
14
17
1
1
4
7
10
13
16
0
3
6
9
12
0
3
6
9
12
15
18
2
5
8
11
14
17
1
2
5
8
11
14
17
1
4
7
10
13
16
0
3
6
9
12
1
4
7
10
13
16
0
3
6
9
12
15
18
2
5
8
11
14
17
1
3
6
9
12
15
18
2
5
8
11
14
17
1
4
7
10
13
16
0
3
6
9
12
2
5
8
11
14
17
1
4
7
10
13
16
0
3
6
9
12
15
18
2
5
8
11
14
17
1
7
10
13
16
0
3
6
9
12
15
18
2
5
8
11
14
17
1
4
7
10
13
16
0
3
6
9
12
15
18
2
5
8
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14
17
1
4
7
10
13
16
0
3
6
9
12
15
18
2
5
8
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14
7
10
13
16
0
3
6
9
12
15
18
2
5
8
11
14
17
1
4
7
10
13
16
15
18
2
5
8
11
14
17
1
4
7
10
13
16
0
3
6
9
12
15
7
10
13
16
0
3
6
9
12
15
18
2
5
8
11
14
17
15
18
2
5
8
11
14
17
1
4
7
10
13
16
7
10
13
16
0
3
6
9
12
15
18
15
18
2
5
8
11
14
17
7
10
13
16
0
15
18
