Lumatone mapping for 103edo: Difference between revisions
Jump to navigation
Jump to search
Create Page. |
→Phicordial: It's the octave, not the generator, that's indivisible because of 103 being prime. "Hemimiracle" is an alternative extension to 11 that splits the generator into two ~33/32's. |
||
| Line 12: | Line 12: | ||
{{Lumatone EDO mapping|n=103|start=0|xstep=7|ystep=-4}} | {{Lumatone EDO mapping|n=103|start=0|xstep=7|ystep=-4}} | ||
=== Phicordial === | === Phicordial === | ||
Since 103 is a prime edo, it does not support | Since 103 is a prime edo, it does not support semimiracle, but dividing the inverse generator in three gives you the [[10L 3s]] [[Phicordial]] mapping, which covers the whole gamut about as efficiently as possible and keeps octaves close to horizontal. | ||
{{Lumatone EDO mapping|n=103|start=15|xstep=10|ystep=-9}} | {{Lumatone EDO mapping|n=103|start=15|xstep=10|ystep=-9}} | ||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||
Latest revision as of 04:27, 16 May 2026
There are many conceivable ways to map 103edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
101
15
7
24
41
58
75
102
16
33
50
67
84
101
15
8
25
42
59
76
93
7
24
41
58
75
0
17
34
51
68
85
102
16
33
50
67
84
101
15
9
26
43
60
77
94
8
25
42
59
76
93
7
24
41
58
75
1
18
35
52
69
86
0
17
34
51
68
85
102
16
33
50
67
84
101
15
10
27
44
61
78
95
9
26
43
60
77
94
8
25
42
59
76
93
7
24
41
58
75
2
19
36
53
70
87
1
18
35
52
69
86
0
17
34
51
68
85
102
16
33
50
67
84
101
15
28
45
62
79
96
10
27
44
61
78
95
9
26
43
60
77
94
8
25
42
59
76
93
7
24
41
58
75
71
88
2
19
36
53
70
87
1
18
35
52
69
86
0
17
34
51
68
85
102
16
33
50
67
84
28
45
62
79
96
10
27
44
61
78
95
9
26
43
60
77
94
8
25
42
59
76
93
71
88
2
19
36
53
70
87
1
18
35
52
69
86
0
17
34
51
68
85
28
45
62
79
96
10
27
44
61
78
95
9
26
43
60
77
94
71
88
2
19
36
53
70
87
1
18
35
52
69
86
28
45
62
79
96
10
27
44
61
78
95
71
88
2
19
36
53
70
87
28
45
62
79
96
71
88
Due to the size of the edo, this will not cover all the notes unless expanded out from 5L 2s to 12L 7s, reducing the range commensurately.
6
14
7
15
23
31
39
0
8
16
24
32
40
48
56
1
9
17
25
33
41
49
57
65
73
81
97
2
10
18
26
34
42
50
58
66
74
82
90
98
98
3
11
19
27
35
43
51
59
67
75
83
91
99
4
12
20
91
99
4
12
20
28
36
44
52
60
68
76
84
92
100
5
13
21
29
37
92
100
5
13
21
29
37
45
53
61
69
77
85
93
101
6
14
22
30
38
46
54
62
85
93
101
6
14
22
30
38
46
54
62
70
78
86
94
102
7
15
23
31
39
47
55
63
71
79
94
102
7
15
23
31
39
47
55
63
71
79
87
95
0
8
16
24
32
40
48
56
64
72
80
88
96
1
8
16
24
32
40
48
56
64
72
80
88
96
1
9
17
25
33
41
49
57
65
73
81
89
97
2
33
41
49
57
65
73
81
89
97
2
10
18
26
34
42
50
58
66
74
82
90
98
3
50
58
66
74
82
90
98
3
11
19
27
35
43
51
59
67
75
83
91
99
75
83
91
99
4
12
20
28
36
44
52
60
68
76
84
92
100
92
100
5
13
21
29
37
45
53
61
69
77
85
93
14
22
30
38
46
54
62
70
78
86
94
31
39
47
55
63
71
79
87
56
64
72
80
88
73
81
Miracle
The Miracle mapping is the most efficient way to put well-tuned intervals close to one-another, but the 10L 1s mapping does not cover the whole gamut and the 10L 11s mapping has a very limited range & strong downward slope.
10L 1s
9
19
12
22
32
42
52
5
15
25
35
45
55
65
75
8
18
28
38
48
58
68
78
88
98
5
1
11
21
31
41
51
61
71
81
91
101
8
18
28
4
14
24
34
44
54
64
74
84
94
1
11
21
31
41
51
61
100
7
17
27
37
47
57
67
77
87
97
4
14
24
34
44
54
64
74
84
0
10
20
30
40
50
60
70
80
90
100
7
17
27
37
47
57
67
77
87
97
4
14
96
3
13
23
33
43
53
63
73
83
93
0
10
20
30
40
50
60
70
80
90
100
7
17
27
37
6
16
26
36
46
56
66
76
86
96
3
13
23
33
43
53
63
73
83
93
0
10
20
30
40
50
60
70
29
39
49
59
69
79
89
99
6
16
26
36
46
56
66
76
86
96
3
13
23
33
43
53
63
73
62
72
82
92
102
9
19
29
39
49
59
69
79
89
99
6
16
26
36
46
56
66
76
85
95
2
12
22
32
42
52
62
72
82
92
102
9
19
29
39
49
59
69
15
25
35
45
55
65
75
85
95
2
12
22
32
42
52
62
72
38
48
58
68
78
88
98
5
15
25
35
45
55
65
71
81
91
101
8
18
28
38
48
58
68
94
1
11
21
31
41
51
61
24
34
44
54
64
47
57
10L 11s
0
7
3
10
17
24
31
102
6
13
20
27
34
41
48
2
9
16
23
30
37
44
51
58
65
72
101
5
12
19
26
33
40
47
54
61
68
75
82
89
1
8
15
22
29
36
43
50
57
64
71
78
85
92
99
3
10
100
4
11
18
25
32
39
46
53
60
67
74
81
88
95
102
6
13
20
27
0
7
14
21
28
35
42
49
56
63
70
77
84
91
98
2
9
16
23
30
37
44
51
99
3
10
17
24
31
38
45
52
59
66
73
80
87
94
101
5
12
19
26
33
40
47
54
61
68
6
13
20
27
34
41
48
55
62
69
76
83
90
97
1
8
15
22
29
36
43
50
57
64
71
78
85
92
23
30
37
44
51
58
65
72
79
86
93
100
4
11
18
25
32
39
46
53
60
67
74
81
88
95
47
54
61
68
75
82
89
96
0
7
14
21
28
35
42
49
56
63
70
77
84
91
98
64
71
78
85
92
99
3
10
17
24
31
38
45
52
59
66
73
80
87
94
88
95
102
6
13
20
27
34
41
48
55
62
69
76
83
90
97
2
9
16
23
30
37
44
51
58
65
72
79
86
93
26
33
40
47
54
61
68
75
82
89
96
43
50
57
64
71
78
85
92
67
74
81
88
95
84
91
Phicordial
Since 103 is a prime edo, it does not support semimiracle, but dividing the inverse generator in three gives you the 10L 3s Phicordial mapping, which covers the whole gamut about as efficiently as possible and keeps octaves close to horizontal.
15
25
16
26
36
46
56
7
17
27
37
47
57
67
77
8
18
28
38
48
58
68
78
88
98
5
102
9
19
29
39
49
59
69
79
89
99
6
16
26
0
10
20
30
40
50
60
70
80
90
100
7
17
27
37
47
57
94
1
11
21
31
41
51
61
71
81
91
101
8
18
28
38
48
58
68
78
95
2
12
22
32
42
52
62
72
82
92
102
9
19
29
39
49
59
69
79
89
99
6
86
96
3
13
23
33
43
53
63
73
83
93
0
10
20
30
40
50
60
70
80
90
100
7
17
27
97
4
14
24
34
44
54
64
74
84
94
1
11
21
31
41
51
61
71
81
91
101
8
18
28
38
48
58
15
25
35
45
55
65
75
85
95
2
12
22
32
42
52
62
72
82
92
102
9
19
29
39
49
59
46
56
66
76
86
96
3
13
23
33
43
53
63
73
83
93
0
10
20
30
40
50
60
67
77
87
97
4
14
24
34
44
54
64
74
84
94
1
11
21
31
41
51
98
5
15
25
35
45
55
65
75
85
95
2
12
22
32
42
52
16
26
36
46
56
66
76
86
96
3
13
23
33
43
47
57
67
77
87
97
4
14
24
34
44
68
78
88
98
5
15
25
35
99
6
16
26
36
17
27