It is possible to map 65edo with squirrel temperament, using as a generator the near-just undecimal submajor second ~11/10, reminiscent of tetracot but producing a a 1L 6s scale (11:9 step ratio) instead of 6L 1s. Three of these generators make the near-just perfect fourth ~4/3; six of them make the near-just Pythagorean.minor seventh ~16/9; nine of them (with octave reduction) make the slightly flat otonal (undevesimal) minor third ~19/16; and twenty-one of them (with more octave reduction) make the near-just classic major seventh ~15/8. Unfortunately, this mapping does not cover all of the notes in the range of over 4½ octaves; even so, [Bryan Deister]] has used this mapping in [65edo prelude (2026).
26
35
37
46
55
64
8
39
48
57
1
10
19
28
37
50
59
3
12
21
30
39
48
57
1
10
52
61
5
14
23
32
41
50
59
3
12
21
30
39
63
7
16
25
34
43
52
61
5
14
23
32
41
50
59
3
12
0
9
18
27
36
45
54
63
7
16
25
34
43
52
61
5
14
23
32
41
11
20
29
38
47
56
0
9
18
27
36
45
54
63
7
16
25
34
43
52
61
5
14
13
22
31
40
49
58
2
11
20
29
38
47
56
0
9
18
27
36
45
54
63
7
16
25
34
43
33
42
51
60
4
13
22
31
40
49
58
2
11
20
29
38
47
56
0
9
18
27
36
45
54
63
7
16
62
6
15
24
33
42
51
60
4
13
22
31
40
49
58
2
11
20
29
38
47
56
0
9
18
27
35
44
53
62
6
15
24
33
42
51
60
4
13
22
31
40
49
58
2
11
20
29
38
64
8
17
26
35
44
53
62
6
15
24
33
42
51
60
4
13
22
31
40
37
46
55
64
8
17
26
35
44
53
62
6
15
24
33
42
51
1
10
19
28
37
46
55
64
8
17
26
35
44
53
39
48
57
1
10
19
28
37
46
55
64
3
12
21
30
39
48
57
1
41
50
59
3
12
5
14
This can be expanded to a 7L 1s scale (9:2 step ratio) that does cover the full gamut in the middle octaves, but has a range of slightly less than 4 octaves and a stronger upward slant.
13
22
15
24
33
42
51
8
17
26
35
44
53
62
6
10
19
28
37
46
55
64
8
17
26
35
3
12
21
30
39
48
57
1
10
19
28
37
46
55
5
14
23
32
41
50
59
3
12
21
30
39
48
57
1
10
19
63
7
16
25
34
43
52
61
5
14
23
32
41
50
59
3
12
21
30
39
0
9
18
27
36
45
54
63
7
16
25
34
43
52
61
5
14
23
32
41
50
59
3
58
2
11
20
29
38
47
56
0
9
18
27
36
45
54
63
7
16
25
34
43
52
61
5
14
23
4
13
22
31
40
49
58
2
11
20
29
38
47
56
0
9
18
27
36
45
54
63
7
16
25
34
43
52
24
33
42
51
60
4
13
22
31
40
49
58
2
11
20
29
38
47
56
0
9
18
27
36
45
54
53
62
6
15
24
33
42
51
60
4
13
22
31
40
49
58
2
11
20
29
38
47
56
8
17
26
35
44
53
62
6
15
24
33
42
51
60
4
13
22
31
40
49
37
46
55
64
8
17
26
35
44
53
62
6
15
24
33
42
51
57
1
10
19
28
37
46
55
64
8
17
26
35
44
21
30
39
48
57
1
10
19
28
37
46
41
50
59
3
12
21
30
39
5
14
23
32
41
25
34
Sensipent
The 5L 3sSensipent mapping also covers the whole gamut, keeps 5-limit chords fairly easy to play, and has a slightly wider range where it covers all the notes (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.
