Lumatone mapping for 67edo: Difference between revisions
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→Antidiatonic: --> Balzano (antidiatonic would be 2L 5s) |
Add Negri, since there's already music using that temperament here. |
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The smallest mapping that does cover all the notes in a clear fashion with octaves kept near horizontal and a minimum of repetition is the [[2L 7s]] one generated by 30/67. | The smallest mapping that does cover all the notes in a clear fashion with octaves kept near horizontal and a minimum of repetition is the [[2L 7s]] one generated by 30/67. | ||
{{Lumatone EDO mapping|n=67|start=34|xstep=7|ystep=2}} | {{Lumatone EDO mapping|n=67|start=34|xstep=7|ystep=2}} | ||
== Negri == | |||
The [[1L 8s]] [[Negri]] mapping has a greater octave slope and uses the second best approximation to the 5th harmonic, but still makes familiar intervals easier to play. | |||
{{Lumatone EDO mapping|n=67|start=22|xstep=7|ystep=4}} | |||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||
Revision as of 09:19, 29 July 2025
There are many conceivable ways to map 67edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. However, due to the size of the edo, this mapping does not quite cover all the notes.
Diatonic
65
9
4
15
26
37
48
66
10
21
32
43
54
65
9
5
16
27
38
49
60
4
15
26
37
48
0
11
22
33
44
55
66
10
21
32
43
54
65
9
6
17
28
39
50
61
5
16
27
38
49
60
4
15
26
37
48
1
12
23
34
45
56
0
11
22
33
44
55
66
10
21
32
43
54
65
9
7
18
29
40
51
62
6
17
28
39
50
61
5
16
27
38
49
60
4
15
26
37
48
2
13
24
35
46
57
1
12
23
34
45
56
0
11
22
33
44
55
66
10
21
32
43
54
65
9
19
30
41
52
63
7
18
29
40
51
62
6
17
28
39
50
61
5
16
27
38
49
60
4
15
26
37
48
47
58
2
13
24
35
46
57
1
12
23
34
45
56
0
11
22
33
44
55
66
10
21
32
43
54
19
30
41
52
63
7
18
29
40
51
62
6
17
28
39
50
61
5
16
27
38
49
60
47
58
2
13
24
35
46
57
1
12
23
34
45
56
0
11
22
33
44
55
19
30
41
52
63
7
18
29
40
51
62
6
17
28
39
50
61
47
58
2
13
24
35
46
57
1
12
23
34
45
56
19
30
41
52
63
7
18
29
40
51
62
47
58
2
13
24
35
46
57
19
30
41
52
63
47
58
Balzano
The smallest mapping that does cover all the notes in a clear fashion with octaves kept near horizontal and a minimum of repetition is the 2L 7s one generated by 30/67.
34
41
43
50
57
64
4
45
52
59
66
6
13
20
27
54
61
1
8
15
22
29
36
43
50
57
56
63
3
10
17
24
31
38
45
52
59
66
6
13
65
5
12
19
26
33
40
47
54
61
1
8
15
22
29
36
43
0
7
14
21
28
35
42
49
56
63
3
10
17
24
31
38
45
52
59
66
9
16
23
30
37
44
51
58
65
5
12
19
26
33
40
47
54
61
1
8
15
22
29
11
18
25
32
39
46
53
60
0
7
14
21
28
35
42
49
56
63
3
10
17
24
31
38
45
52
27
34
41
48
55
62
2
9
16
23
30
37
44
51
58
65
5
12
19
26
33
40
47
54
61
1
8
15
50
57
64
4
11
18
25
32
39
46
53
60
0
7
14
21
28
35
42
49
56
63
3
10
17
24
13
20
27
34
41
48
55
62
2
9
16
23
30
37
44
51
58
65
5
12
19
26
33
36
43
50
57
64
4
11
18
25
32
39
46
53
60
0
7
14
21
28
35
66
6
13
20
27
34
41
48
55
62
2
9
16
23
30
37
44
22
29
36
43
50
57
64
4
11
18
25
32
39
46
52
59
66
6
13
20
27
34
41
48
55
8
15
22
29
36
43
50
57
38
45
52
59
66
61
1
Negri
The 1L 8s Negri mapping has a greater octave slope and uses the second best approximation to the 5th harmonic, but still makes familiar intervals easier to play.
22
29
33
40
47
54
61
37
44
51
58
65
5
12
19
48
55
62
2
9
16
23
30
37
44
51
52
59
66
6
13
20
27
34
41
48
55
62
2
9
63
3
10
17
24
31
38
45
52
59
66
6
13
20
27
34
41
0
7
14
21
28
35
42
49
56
63
3
10
17
24
31
38
45
52
59
66
11
18
25
32
39
46
53
60
0
7
14
21
28
35
42
49
56
63
3
10
17
24
31
15
22
29
36
43
50
57
64
4
11
18
25
32
39
46
53
60
0
7
14
21
28
35
42
49
56
33
40
47
54
61
1
8
15
22
29
36
43
50
57
64
4
11
18
25
32
39
46
53
60
0
7
14
21
58
65
5
12
19
26
33
40
47
54
61
1
8
15
22
29
36
43
50
57
64
4
11
18
25
32
23
30
37
44
51
58
65
5
12
19
26
33
40
47
54
61
1
8
15
22
29
36
43
48
55
62
2
9
16
23
30
37
44
51
58
65
5
12
19
26
33
40
47
13
20
27
34
41
48
55
62
2
9
16
23
30
37
44
51
58
38
45
52
59
66
6
13
20
27
34
41
48
55
62
3
10
17
24
31
38
45
52
59
66
6
28
35
42
49
56
63
3
10
60
0
7
14
21
18
25