|
|
| Line 2: |
Line 2: |
|
| |
|
| == Diatonic == | | == Diatonic == |
| | Since 50edo is a good [[Meantone]] tuning, the [[Standard Lumatone mapping for Pythagorean]] is good for it, with a range of just under 5 octaves, which are distributed perfectly horizontally. |
| {{Lumatone EDO mapping|n=50|start=46|xstep=8|ystep=-3}} | | {{Lumatone EDO mapping|n=50|start=46|xstep=8|ystep=-3}} |
| | |
| | == Porcupine == |
| | [[Bryan Deister]] has used a reverse-chroma expanded [[Porcupine]] layout for [[50edo]], as demonstrated in [https://www.youtube.com/watch?v=zCsc5n6dr_I&lc=UgxRlYMNMxlJODPhKjB4AaABAg ''microtonal improv in 50edo''] (2025). The range is somewhat over 4 octaves, but the octaves ascend so rapidly as to zigzag. (Note that in the video, the upper left corner and whole right end are cut off due to use of only 1 MIDI channel, and the range shown is considerably less than theoretically possible.) |
| | |
| | {{Lumatone EDO mapping|n=50|start=30|xstep=7|ystep=-1}} |
|
| |
|
| == Trimean == | | == Trimean == |
Revision as of 23:08, 13 April 2025
There are many conceivable ways to map 50edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
Since 50edo is a good Meantone tuning, the Standard Lumatone mapping for Pythagorean is good for it, with a range of just under 5 octaves, which are distributed perfectly horizontally.
46
4
1
9
17
25
33
48
6
14
22
30
38
46
4
3
11
19
27
35
43
1
9
17
25
33
0
8
16
24
32
40
48
6
14
22
30
38
46
4
5
13
21
29
37
45
3
11
19
27
35
43
1
9
17
25
33
2
10
18
26
34
42
0
8
16
24
32
40
48
6
14
22
30
38
46
4
7
15
23
31
39
47
5
13
21
29
37
45
3
11
19
27
35
43
1
9
17
25
33
4
12
20
28
36
44
2
10
18
26
34
42
0
8
16
24
32
40
48
6
14
22
30
38
46
4
17
25
33
41
49
7
15
23
31
39
47
5
13
21
29
37
45
3
11
19
27
35
43
1
9
17
25
33
38
46
4
12
20
28
36
44
2
10
18
26
34
42
0
8
16
24
32
40
48
6
14
22
30
38
17
25
33
41
49
7
15
23
31
39
47
5
13
21
29
37
45
3
11
19
27
35
43
38
46
4
12
20
28
36
44
2
10
18
26
34
42
0
8
16
24
32
40
17
25
33
41
49
7
15
23
31
39
47
5
13
21
29
37
45
38
46
4
12
20
28
36
44
2
10
18
26
34
42
17
25
33
41
49
7
15
23
31
39
47
38
46
4
12
20
28
36
44
17
25
33
41
49
38
46
Porcupine
Bryan Deister has used a reverse-chroma expanded Porcupine layout for 50edo, as demonstrated in microtonal improv in 50edo (2025). The range is somewhat over 4 octaves, but the octaves ascend so rapidly as to zigzag. (Note that in the video, the upper left corner and whole right end are cut off due to use of only 1 MIDI channel, and the range shown is considerably less than theoretically possible.)
30
37
36
43
0
7
14
35
42
49
6
13
20
27
34
41
48
5
12
19
26
33
40
47
4
11
40
47
4
11
18
25
32
39
46
3
10
17
24
31
46
3
10
17
24
31
38
45
2
9
16
23
30
37
44
1
8
45
2
9
16
23
30
37
44
1
8
15
22
29
36
43
0
7
14
21
28
1
8
15
22
29
36
43
0
7
14
21
28
35
42
49
6
13
20
27
34
41
48
5
0
7
14
21
28
35
42
49
6
13
20
27
34
41
48
5
12
19
26
33
40
47
4
11
18
25
13
20
27
34
41
48
5
12
19
26
33
40
47
4
11
18
25
32
39
46
3
10
17
24
31
38
45
2
33
40
47
4
11
18
25
32
39
46
3
10
17
24
31
38
45
2
9
16
23
30
37
44
1
8
10
17
24
31
38
45
2
9
16
23
30
37
44
1
8
15
22
29
36
43
0
7
14
30
37
44
1
8
15
22
29
36
43
0
7
14
21
28
35
42
49
6
13
7
14
21
28
35
42
49
6
13
20
27
34
41
48
5
12
19
27
34
41
48
5
12
19
26
33
40
47
4
11
18
4
11
18
25
32
39
46
3
10
17
24
24
31
38
45
2
9
16
23
1
8
15
22
29
21
28
Trimean
If you want to access single step movements in a more intuitive way, the 1L 6s Trimean mapping is probably the best compromise between ease of play and range.
23
30
31
38
45
2
9
32
39
46
3
10
17
24
31
40
47
4
11
18
25
32
39
46
3
10
41
48
5
12
19
26
33
40
47
4
11
18
25
32
49
6
13
20
27
34
41
48
5
12
19
26
33
40
47
4
11
0
7
14
21
28
35
42
49
6
13
20
27
34
41
48
5
12
19
26
33
8
15
22
29
36
43
0
7
14
21
28
35
42
49
6
13
20
27
34
41
48
5
12
9
16
23
30
37
44
1
8
15
22
29
36
43
0
7
14
21
28
35
42
49
6
13
20
27
34
24
31
38
45
2
9
16
23
30
37
44
1
8
15
22
29
36
43
0
7
14
21
28
35
42
49
6
13
46
3
10
17
24
31
38
45
2
9
16
23
30
37
44
1
8
15
22
29
36
43
0
7
14
21
25
32
39
46
3
10
17
24
31
38
45
2
9
16
23
30
37
44
1
8
15
22
29
47
4
11
18
25
32
39
46
3
10
17
24
31
38
45
2
9
16
23
30
26
33
40
47
4
11
18
25
32
39
46
3
10
17
24
31
38
48
5
12
19
26
33
40
47
4
11
18
25
32
39
27
34
41
48
5
12
19
26
33
40
47
49
6
13
20
27
34
41
48
28
35
42
49
6
0
7
