There are many conceivable ways to map 77edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
However, due to the size of the edo, this mapping does not cover all the notes.
2
15
8
21
34
47
60
1
14
27
40
53
66
2
15
7
20
33
46
59
72
8
21
34
47
60
0
13
26
39
52
65
1
14
27
40
53
66
2
15
6
19
32
45
58
71
7
20
33
46
59
72
8
21
34
47
60
76
12
25
38
51
64
0
13
26
39
52
65
1
14
27
40
53
66
2
15
5
18
31
44
57
70
6
19
32
45
58
71
7
20
33
46
59
72
8
21
34
47
60
75
11
24
37
50
63
76
12
25
38
51
64
0
13
26
39
52
65
1
14
27
40
53
66
2
15
17
30
43
56
69
5
18
31
44
57
70
6
19
32
45
58
71
7
20
33
46
59
72
8
21
34
47
60
49
62
75
11
24
37
50
63
76
12
25
38
51
64
0
13
26
39
52
65
1
14
27
40
53
66
17
30
43
56
69
5
18
31
44
57
70
6
19
32
45
58
71
7
20
33
46
59
72
49
62
75
11
24
37
50
63
76
12
25
38
51
64
0
13
26
39
52
65
17
30
43
56
69
5
18
31
44
57
70
6
19
32
45
58
71
49
62
75
11
24
37
50
63
76
12
25
38
51
64
17
30
43
56
69
5
18
31
44
57
70
49
62
75
11
24
37
50
63
17
30
43
56
69
49
62
Restles
To maximise your range while covering the full gamut and keep octaves near horizontal, you can use the restles mapping, which is particularly efficient in the 2.7.13 subgroup.
65
73
72
3
11
19
27
71
2
10
18
26
34
42
50
1
9
17
25
33
41
49
57
65
73
4
0
8
16
24
32
40
48
56
64
72
3
11
19
27
7
15
23
31
39
47
55
63
71
2
10
18
26
34
42
50
58
6
14
22
30
38
46
54
62
70
1
9
17
25
33
41
49
57
65
73
4
13
21
29
37
45
53
61
69
0
8
16
24
32
40
48
56
64
72
3
11
19
27
35
12
20
28
36
44
52
60
68
76
7
15
23
31
39
47
55
63
71
2
10
18
26
34
42
50
58
27
35
43
51
59
67
75
6
14
22
30
38
46
54
62
70
1
9
17
25
33
41
49
57
65
73
4
12
50
58
66
74
5
13
21
29
37
45
53
61
69
0
8
16
24
32
40
48
56
64
72
3
11
19
4
12
20
28
36
44
52
60
68
76
7
15
23
31
39
47
55
63
71
2
10
18
26
27
35
43
51
59
67
75
6
14
22
30
38
46
54
62
70
1
9
17
25
58
66
74
5
13
21
29
37
45
53
61
69
0
8
16
24
32
4
12
20
28
36
44
52
60
68
76
7
15
23
31
35
43
51
59
67
75
6
14
22
30
38
58
66
74
5
13
21
29
37
12
20
28
36
44
35
43
Tsaharuk (Schismatic)
Bryan Deister has demonstrated a 7L 2s mapping for 77edo in microtonal improvisation in 77edo (2025). Tsaharuk is a member of the Schismatic family that splits the (highly accurate) fifth (~3/2, as 45\77) into five parts (9\77), which function as lesser tridecimal neutral seconds ~13/12. Two of them (18\77) make a flat minor third ~20/17; three of them (27\77) make a sharp major third ~14/11; and four of them make a near-just tridecimal augmented fourth ~18/13, which serves as the dark generator for the 7L 2s scale in the manner of Mavila, but since it is not mapped as a fourth, it can be stacked to get an actual near-just fourth or fifth (depending upon direction of stacking), needing ten to do so, as in Mabila. The overall range is approximately three and a half octaves (which slope upwards mildly), but each octave is missing a few notes.
58
67
65
74
6
15
24
63
72
4
13
22
31
40
49
70
2
11
20
29
38
47
56
65
74
6
68
0
9
18
27
36
45
54
63
72
4
13
22
31
75
7
16
25
34
43
52
61
70
2
11
20
29
38
47
56
65
73
5
14
23
32
41
50
59
68
0
9
18
27
36
45
54
63
72
4
13
3
12
21
30
39
48
57
66
75
7
16
25
34
43
52
61
70
2
11
20
29
38
47
1
10
19
28
37
46
55
64
73
5
14
23
32
41
50
59
68
0
9
18
27
36
45
54
63
72
17
26
35
44
53
62
71
3
12
21
30
39
48
57
66
75
7
16
25
34
43
52
61
70
2
11
20
29
42
51
60
69
1
10
19
28
37
46
55
64
73
5
14
23
32
41
50
59
68
0
9
18
27
36
76
8
17
26
35
44
53
62
71
3
12
21
30
39
48
57
66
75
7
16
25
34
43
24
33
42
51
60
69
1
10
19
28
37
46
55
64
73
5
14
23
32
41
58
67
76
8
17
26
35
44
53
62
71
3
12
21
30
39
48
6
15
24
33
42
51
60
69
1
10
19
28
37
46
40
49
58
67
76
8
17
26
35
44
53
65
74
6
15
24
33
42
51
22
31
40
49
58
47
56
Valentine (currently untested; placeholder)
Inspired by the Valentine version of the Lumatone mapping for 31edo, the 15L 1s (or 1L 14s) mapping for 77edo succeeds in avoiding missed notes in the middle octaves; the range is a bit over two octaves, and the octaves slant up. This mapping is a placeholder proposed as a way to avoid the missed notes of the layouts above, although at the cost of some common intervals being spaced very widely, and with considerable gamut fragments present in the upper left and lower right corners.
0
5
11
16
21
26
31
17
22
27
32
37
42
47
52
28
33
38
43
48
53
58
63
68
73
1
34
39
44
49
54
59
64
69
74
2
7
12
17
22
45
50
55
60
65
70
75
3
8
13
18
23
28
33
38
43
48
51
56
61
66
71
76
4
9
14
19
24
29
34
39
44
49
54
59
64
69
62
67
72
0
5
10
15
20
25
30
35
40
45
50
55
60
65
70
75
3
8
13
18
68
73
1
6
11
16
21
26
31
36
41
46
51
56
61
66
71
76
4
9
14
19
24
29
34
39
7
12
17
22
27
32
37
42
47
52
57
62
67
72
0
5
10
15
20
25
30
35
40
45
50
55
60
65
28
33
38
43
48
53
58
63
68
73
1
6
11
16
21
26
31
36
41
46
51
56
61
66
71
76
54
59
64
69
74
2
7
12
17
22
27
32
37
42
47
52
57
62
67
72
0
5
10
75
3
8
13
18
23
28
33
38
43
48
53
58
63
68
73
1
6
11
16
24
29
34
39
44
49
54
59
64
69
74
2
7
12
17
22
27
45
50
55
60
65
70
75
3
8
13
18
23
28
33
71
76
4
9
14
19
24
29
34
39
44
15
20
25
30
35
40
45
50
41
46
51
56
61
62
67
