There are many conceivable ways to map 85edo onto the onto the Lumatone keyboard. However, the patent val has five mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean will not work unless the very flat alternate fifth (85b val) is used.
Diatonic
Due to the size of the edo, this mapping does not cover all the notes (to do so on a hypothetical XL-sized Lumatone would require 425 keys in the space of 5 octaves).
71
84
81
9
22
35
48
78
6
19
32
45
58
71
84
3
16
29
42
55
68
81
9
22
35
48
0
13
26
39
52
65
78
6
19
32
45
58
71
84
10
23
36
49
62
75
3
16
29
42
55
68
81
9
22
35
48
7
20
33
46
59
72
0
13
26
39
52
65
78
6
19
32
45
58
71
84
17
30
43
56
69
82
10
23
36
49
62
75
3
16
29
42
55
68
81
9
22
35
48
14
27
40
53
66
79
7
20
33
46
59
72
0
13
26
39
52
65
78
6
19
32
45
58
71
84
37
50
63
76
4
17
30
43
56
69
82
10
23
36
49
62
75
3
16
29
42
55
68
81
9
22
35
48
73
1
14
27
40
53
66
79
7
20
33
46
59
72
0
13
26
39
52
65
78
6
19
32
45
58
37
50
63
76
4
17
30
43
56
69
82
10
23
36
49
62
75
3
16
29
42
55
68
73
1
14
27
40
53
66
79
7
20
33
46
59
72
0
13
26
39
52
65
37
50
63
76
4
17
30
43
56
69
82
10
23
36
49
62
75
73
1
14
27
40
53
66
79
7
20
33
46
59
72
37
50
63
76
4
17
30
43
56
69
82
73
1
14
27
40
53
66
79
37
50
63
76
4
73
1
Gothic-related rank-3
Bryan Deister has demonstrated a 7L 5s (step ratio 10:3) Lumatone mapping for 85edo in microtonal improvisation in 85edo (2025). The rightward generator 10\85 is a slightly sharp lesser tridecimal neutral second ~13/12; as in 17edo, which 85edo quintuples (thereby making it a tuning of Gothic temperament), two of them make the moderately flat minor third ~20/17, while three of them make the moderately sharp major third ~23/18; likewise, five of them make the slightly sharp perfect fifth ~3/2. Without a second generator, this would contort under 17edo; the down-right generator 3\85 itself does not have a very convenient ratio (the nearest simple ratio being ~41/40, although this is near-just). But three of them make a near-just tridecimal supraminor second ~14/13; and seven of them make the near-just octave-reduced 19th harmonic ~19/16. The range is just over three octaves, with no missed notes and no duplicated notes; the octaves slant down moderately
1
11
4
14
24
34
44
82
7
17
27
37
47
57
67
0
10
20
30
40
50
60
70
80
5
15
78
3
13
23
33
43
53
63
73
83
8
18
28
38
81
6
16
26
36
46
56
66
76
1
11
21
31
41
51
61
71
74
84
9
19
29
39
49
59
69
79
4
14
24
34
44
54
64
74
84
9
77
2
12
22
32
42
52
62
72
82
7
17
27
37
47
57
67
77
2
12
22
32
42
70
80
5
15
25
35
45
55
65
75
0
10
20
30
40
50
60
70
80
5
15
25
35
45
55
65
83
8
18
28
38
48
58
68
78
3
13
23
33
43
53
63
73
83
8
18
28
38
48
58
68
78
3
13
21
31
41
51
61
71
81
6
16
26
36
46
56
66
76
1
11
21
31
41
51
61
71
81
6
16
54
64
74
84
9
19
29
39
49
59
69
79
4
14
24
34
44
54
64
74
84
9
19
77
2
12
22
32
42
52
62
72
82
7
17
27
37
47
57
67
77
2
12
25
35
45
55
65
75
0
10
20
30
40
50
60
70
80
5
15
48
58
68
78
3
13
23
33
43
53
63
73
83
8
81
6
16
26
36
46
56
66
76
1
11
19
29
39
49
59
69
79
4
52
62
72
82
7
75
0
