Xenharmonic Wiki

Lumatone mapping for 65edo

Revision as of 09:28, 17 March 2026 by Lucius Chiaraviglio (talk | contribs) (→Sensipent: Add demo video, and move note 0 to match)

There are many conceivable ways to map 65edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

Note that since 65edo is a schismatic tuning, the best approximation to 5/4 is the diminished fourth. Due to the size of the edo, this mapping does not cover all the notes. Despite the missing notes, Bryan Deister has used this mapping in Zanarkand - Nobuo Uematsu (microtonal cover in 65edo) (2026).

 
2
13
7
18
29
40
51
1
12
23
34
45
56
2
13
6
17
28
39
50
61
7
18
29
40
51
0
11
22
33
44
55
1
12
23
34
45
56
2
13
5
16
27
38
49
60
6
17
28
39
50
61
7
18
29
40
51
64
10
21
32
43
54
0
11
22
33
44
55
1
12
23
34
45
56
2
13
4
15
26
37
48
59
5
16
27
38
49
60
6
17
28
39
50
61
7
18
29
40
51
63
9
20
31
42
53
64
10
21
32
43
54
0
11
22
33
44
55
1
12
23
34
45
56
2
13
14
25
36
47
58
4
15
26
37
48
59
5
16
27
38
49
60
6
17
28
39
50
61
7
18
29
40
51
41
52
63
9
20
31
42
53
64
10
21
32
43
54
0
11
22
33
44
55
1
12
23
34
45
56
14
25
36
47
58
4
15
26
37
48
59
5
16
27
38
49
60
6
17
28
39
50
61
41
52
63
9
20
31
42
53
64
10
21
32
43
54
0
11
22
33
44
55
14
25
36
47
58
4
15
26
37
48
59
5
16
27
38
49
60
41
52
63
9
20
31
42
53
64
10
21
32
43
54
14
25
36
47
58
4
15
26
37
48
59
41
52
63
9
20
31
42
53
14
25
36
47
58
41
52

Sensipent

The Sensipent mapping does cover the whole gamut, keeps 5-limit chords fairly easy to play, and has a range of four close to complete octaves (due to being chopped by the left and right edges, the first note 0 to note 0 octave is missing notes 5 and 8, while the last is missing notes 43, 53, 56, 60, and 63; apart from this, each octave has one repeated note). Bryan Deister has used this mapping in Waltz in 65edo (2026).

 
28
35
38
45
52
59
1
41
48
55
62
4
11
18
25
51
58
0
7
14
21
28
35
42
49
56
54
61
3
10
17
24
31
38
45
52
59
1
8
15
64
6
13
20
27
34
41
48
55
62
4
11
18
25
32
39
46
2
9
16
23
30
37
44
51
58
0
7
14
21
28
35
42
49
56
63
5
12
19
26
33
40
47
54
61
3
10
17
24
31
38
45
52
59
1
8
15
22
29
36
15
22
29
36
43
50
57
64
6
13
20
27
34
41
48
55
62
4
11
18
25
32
39
46
53
60
32
39
46
53
60
2
9
16
23
30
37
44
51
58
0
7
14
21
28
35
42
49
56
63
5
12
19
26
56
63
5
12
19
26
33
40
47
54
61
3
10
17
24
31
38
45
52
59
1
8
15
22
29
36
22
29
36
43
50
57
64
6
13
20
27
34
41
48
55
62
4
11
18
25
32
39
46
46
53
60
2
9
16
23
30
37
44
51
58
0
7
14
21
28
35
42
49
12
19
26
33
40
47
54
61
3
10
17
24
31
38
45
52
59
36
43
50
57
64
6
13
20
27
34
41
48
55
62
2
9
16
23
30
37
44
51
58
0
7
26
33
40
47
54
61
3
10
57
64
6
13
20
16
23

Würschmidt (divided generator)

Bryan Deister has used the 9L 2s (7:1 step ratio) mapping for 65edo in microtonal improvisation in 65edo (2025). The rightward generator 7\65 is a slightly flat acute minor second ~27/25, and three of these make a near-just classic major third ~5/4; in turn eight classic major thirds (21\65) make a near-just 6th harmonic ~6/1, qualifying this for Würschmidt temperament, or an extension thereof that divides the Würschmidt generator into three equal parts, but using ~27/25 instead of the tridecimal supraminor second ~14/13, which technically maps to the same interval in 65edo, but is composed of a very flat 7th harmonic and a very sharp 13th harmonic and is thus subject to wart adjustment to another interval for consistency improvement. The range is somewhat under three octaves, and the octaves slant up mildly, with some repeated notes to ease vertical wraparounds.

 
10
17
11
18
25
32
39
5
12
19
26
33
40
47
54
6
13
20
27
34
41
48
55
62
4
11
0
7
14
21
28
35
42
49
56
63
5
12
19
26
1
8
15
22
29
36
43
50
57
64
6
13
20
27
34
41
48
60
2
9
16
23
30
37
44
51
58
0
7
14
21
28
35
42
49
56
63
61
3
10
17
24
31
38
45
52
59
1
8
15
22
29
36
43
50
57
64
6
13
20
55
62
4
11
18
25
32
39
46
53
60
2
9
16
23
30
37
44
51
58
0
7
14
21
28
35
63
5
12
19
26
33
40
47
54
61
3
10
17
24
31
38
45
52
59
1
8
15
22
29
36
43
50
57
13
20
27
34
41
48
55
62
4
11
18
25
32
39
46
53
60
2
9
16
23
30
37
44
51
58
35
42
49
56
63
5
12
19
26
33
40
47
54
61
3
10
17
24
31
38
45
52
59
50
57
64
6
13
20
27
34
41
48
55
62
4
11
18
25
32
39
46
53
7
14
21
28
35
42
49
56
63
5
12
19
26
33
40
47
54
22
29
36
43
50
57
64
6
13
20
27
34
41
48
44
51
58
0
7
14
21
28
35
42
49
59
1
8
15
22
29
36
43
16
23
30
37
44
31
38
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