Due to the size of the edo, this mapping does not cover all the notes. In addition, the best approximation to 5/4 is a hextuply augmented fifth or septuply-diminished second, which is impossible to play with the root note of the scale.
12
28
17
33
49
65
81
6
22
38
54
70
86
12
28
11
27
43
59
75
1
17
33
49
65
81
0
16
32
48
64
80
6
22
38
54
70
86
12
28
5
21
37
53
69
85
11
27
43
59
75
1
17
33
49
65
81
84
10
26
42
58
74
0
16
32
48
64
80
6
22
38
54
70
86
12
28
89
15
31
47
63
79
5
21
37
53
69
85
11
27
43
59
75
1
17
33
49
65
81
78
4
20
36
52
68
84
10
26
42
58
74
0
16
32
48
64
80
6
22
38
54
70
86
12
28
9
25
41
57
73
89
15
31
47
63
79
5
21
37
53
69
85
11
27
43
59
75
1
17
33
49
65
81
46
62
78
4
20
36
52
68
84
10
26
42
58
74
0
16
32
48
64
80
6
22
38
54
70
86
9
25
41
57
73
89
15
31
47
63
79
5
21
37
53
69
85
11
27
43
59
75
1
46
62
78
4
20
36
52
68
84
10
26
42
58
74
0
16
32
48
64
80
9
25
41
57
73
89
15
31
47
63
79
5
21
37
53
69
85
46
62
78
4
20
36
52
68
84
10
26
42
58
74
9
25
41
57
73
89
15
31
47
63
79
46
62
78
4
20
36
52
68
9
25
41
57
73
46
62
Diaschismic + Charismic
On the other hand, the golden diaschismic mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from 2L 8s to 10L 2s to hit every single note. The rightward generator 8\90 is a semitone that functions as both ~16/15 and ~17/16 (the charisma 256/255 is tempered out). Splitting the octave in half (the diaschisma 2048/2025 is tempered out) enables this generator to produce these mappings without contorsion.
2L 8s
With 2L 8s, the range is three octaves with a very mild upwards slope, but some notes are missing.
