Lumatone mapping for 59edo: Difference between revisions

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{{Lumatone mapping intro}} In addition, neither covers the full gamut of every octave, with both having multiple skipped notes. Although the sharp one is slightly closer making it the [[patent val]].  
{{Lumatone mapping intro}} In addition, neither covers the full gamut of every octave, with both having multiple skipped notes. Although the sharp one is slightly closer making it the [[patent val]].
 
== Diatonic ==
=== Sharp fifth ===
{{Lumatone EDO mapping|n=59|start=14|xstep=11|ystep=-9}}
{{Lumatone EDO mapping|n=59|start=14|xstep=11|ystep=-9}}


 
=== Flat fifth ===
{{Lumatone EDO mapping|n=59|start=49|xstep=9|ystep=-2}}
{{Lumatone EDO mapping|n=59|start=49|xstep=9|ystep=-2}}


 
== Porcupine ==
Instead, as it is its optimal patent val, using the expanded mapping of [[porcupine]] is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the Pythagorean mapping.
Instead, as it is its optimal patent val, using the expanded [[Porcupine]] mapping is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the Pythagorean mapping.
{{Lumatone EDO mapping|n=59|start=6|xstep=8|ystep=-5}}
{{Lumatone EDO mapping|n=59|start=6|xstep=8|ystep=-5}}


 
== Other mappings ==
[[Bryan Deister]]'s 2025 [https://www.youtube.com/watch?v=-UsnINWSvzo improvisation] uses an mapping (albeit incomplete) of 9 right, 1 up.
[[Bryan Deister]]'s 2025 [https://www.youtube.com/watch?v=-UsnINWSvzo improvisation] uses an mapping (albeit incomplete) of 9 right, 1 up.
{{Lumatone EDO mapping|n=59|start=0|xstep=9|ystep=-1}}
{{Lumatone EDO mapping|n=59|start=0|xstep=9|ystep=-1}}

Revision as of 15:26, 23 March 2025

There are many conceivable ways to map 59edo 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. In addition, neither covers the full gamut of every octave, with both having multiple skipped notes. Although the sharp one is slightly closer making it the patent val.

Diatonic

Sharp fifth

14
25
16
27
38
49
1
7
18
29
40
51
3
14
25
9
20
31
42
53
5
16
27
38
49
1
0
11
22
33
44
55
7
18
29
40
51
3
14
25
2
13
24
35
46
57
9
20
31
42
53
5
16
27
38
49
1
52
4
15
26
37
48
0
11
22
33
44
55
7
18
29
40
51
3
14
25
54
6
17
28
39
50
2
13
24
35
46
57
9
20
31
42
53
5
16
27
38
49
1
45
56
8
19
30
41
52
4
15
26
37
48
0
11
22
33
44
55
7
18
29
40
51
3
14
25
58
10
21
32
43
54
6
17
28
39
50
2
13
24
35
46
57
9
20
31
42
53
5
16
27
38
49
1
23
34
45
56
8
19
30
41
52
4
15
26
37
48
0
11
22
33
44
55
7
18
29
40
51
3
58
10
21
32
43
54
6
17
28
39
50
2
13
24
35
46
57
9
20
31
42
53
5
23
34
45
56
8
19
30
41
52
4
15
26
37
48
0
11
22
33
44
55
58
10
21
32
43
54
6
17
28
39
50
2
13
24
35
46
57
23
34
45
56
8
19
30
41
52
4
15
26
37
48
58
10
21
32
43
54
6
17
28
39
50
23
34
45
56
8
19
30
41
58
10
21
32
43
23
34

Flat fifth

49
58
56
6
15
24
33
54
4
13
22
31
40
49
58
2
11
20
29
38
47
56
6
15
24
33
0
9
18
27
36
45
54
4
13
22
31
40
49
58
7
16
25
34
43
52
2
11
20
29
38
47
56
6
15
24
33
5
14
23
32
41
50
0
9
18
27
36
45
54
4
13
22
31
40
49
58
12
21
30
39
48
57
7
16
25
34
43
52
2
11
20
29
38
47
56
6
15
24
33
10
19
28
37
46
55
5
14
23
32
41
50
0
9
18
27
36
45
54
4
13
22
31
40
49
58
26
35
44
53
3
12
21
30
39
48
57
7
16
25
34
43
52
2
11
20
29
38
47
56
6
15
24
33
51
1
10
19
28
37
46
55
5
14
23
32
41
50
0
9
18
27
36
45
54
4
13
22
31
40
26
35
44
53
3
12
21
30
39
48
57
7
16
25
34
43
52
2
11
20
29
38
47
51
1
10
19
28
37
46
55
5
14
23
32
41
50
0
9
18
27
36
45
26
35
44
53
3
12
21
30
39
48
57
7
16
25
34
43
52
51
1
10
19
28
37
46
55
5
14
23
32
41
50
26
35
44
53
3
12
21
30
39
48
57
51
1
10
19
28
37
46
55
26
35
44
53
3
51
1

Porcupine

Instead, as it is its optimal patent val, using the expanded Porcupine mapping is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the Pythagorean mapping.

6
14
9
17
25
33
41
4
12
20
28
36
44
52
1
7
15
23
31
39
47
55
4
12
20
28
2
10
18
26
34
42
50
58
7
15
23
31
39
47
5
13
21
29
37
45
53
2
10
18
26
34
42
50
58
7
15
0
8
16
24
32
40
48
56
5
13
21
29
37
45
53
2
10
18
26
34
3
11
19
27
35
43
51
0
8
16
24
32
40
48
56
5
13
21
29
37
45
53
2
57
6
14
22
30
38
46
54
3
11
19
27
35
43
51
0
8
16
24
32
40
48
56
5
13
21
9
17
25
33
41
49
57
6
14
22
30
38
46
54
3
11
19
27
35
43
51
0
8
16
24
32
40
48
28
36
44
52
1
9
17
25
33
41
49
57
6
14
22
30
38
46
54
3
11
19
27
35
43
51
55
4
12
20
28
36
44
52
1
9
17
25
33
41
49
57
6
14
22
30
38
46
54
15
23
31
39
47
55
4
12
20
28
36
44
52
1
9
17
25
33
41
49
42
50
58
7
15
23
31
39
47
55
4
12
20
28
36
44
52
2
10
18
26
34
42
50
58
7
15
23
31
39
47
29
37
45
53
2
10
18
26
34
42
50
48
56
5
13
21
29
37
45
16
24
32
40
48
35
43

Other mappings

Bryan Deister's 2025 improvisation uses an mapping (albeit incomplete) of 9 right, 1 up.

0
9
8
17
26
35
44
7
16
25
34
43
52
2
11
15
24
33
42
51
1
10
19
28
37
46
14
23
32
41
50
0
9
18
27
36
45
54
4
13
22
31
40
49
58
8
17
26
35
44
53
3
12
21
30
39
48
21
30
39
48
57
7
16
25
34
43
52
2
11
20
29
38
47
56
6
15
29
38
47
56
6
15
24
33
42
51
1
10
19
28
37
46
55
5
14
23
32
41
50
28
37
46
55
5
14
23
32
41
50
0
9
18
27
36
45
54
4
13
22
31
40
49
58
8
17
45
54
4
13
22
31
40
49
58
8
17
26
35
44
53
3
12
21
30
39
48
57
7
16
25
34
43
52
12
21
30
39
48
57
7
16
25
34
43
52
2
11
20
29
38
47
56
6
15
24
33
42
51
1
47
56
6
15
24
33
42
51
1
10
19
28
37
46
55
5
14
23
32
41
50
0
9
14
23
32
41
50
0
9
18
27
36
45
54
4
13
22
31
40
49
58
8
49
58
8
17
26
35
44
53
3
12
21
30
39
48
57
7
16
16
25
34
43
52
2
11
20
29
38
47
56
6
15
51
1
10
19
28
37
46
55
5
14
23
18
27
36
45
54
4
13
22
53
3
12
21
30
20
29


In the comments, Deister recommends 7 right, 1 up as a complete mapping.

0
7
6
13
20
27
34
5
12
19
26
33
40
47
54
11
18
25
32
39
46
53
1
8
15
22
10
17
24
31
38
45
52
0
7
14
21
28
35
42
16
23
30
37
44
51
58
6
13
20
27
34
41
48
55
3
10
15
22
29
36
43
50
57
5
12
19
26
33
40
47
54
2
9
16
23
30
21
28
35
42
49
56
4
11
18
25
32
39
46
53
1
8
15
22
29
36
43
50
57
20
27
34
41
48
55
3
10
17
24
31
38
45
52
0
7
14
21
28
35
42
49
56
4
11
18
33
40
47
54
2
9
16
23
30
37
44
51
58
6
13
20
27
34
41
48
55
3
10
17
24
31
38
45
53
1
8
15
22
29
36
43
50
57
5
12
19
26
33
40
47
54
2
9
16
23
30
37
44
51
21
28
35
42
49
56
4
11
18
25
32
39
46
53
1
8
15
22
29
36
43
50
57
41
48
55
3
10
17
24
31
38
45
52
0
7
14
21
28
35
42
49
56
9
16
23
30
37
44
51
58
6
13
20
27
34
41
48
55
3
29
36
43
50
57
5
12
19
26
33
40
47
54
2
56
4
11
18
25
32
39
46
53
1
8
17
24
31
38
45
52
0
7
44
51
58
6
13
5
12
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