Bryan Deister invented the Devichromic Octacot(*) Lumatone mapping for 69edo shown below, and I got curious about how Devichromic temperament would work for other sizes. Devichromic temperament currently has no article (the link just given will change from red to blue if it gets one), but Devichromic chords does, and gives a brief description of the temperament, along with its defining comma 400/399.
(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.
Smaller Devichromic Octacot (down-right) Lumatone mappings
41edo (proposed but untested)
(In principle, this should work somewhat similarly to the layout for 69edo below, but this needs to be checked for accuracy, and some differences are necessary to avoid mapping contortion even though the temperament is not contorted.)
0
10
3
13
23
33
2
37
6
16
26
36
5
15
25
40
9
19
29
39
8
18
28
38
7
17
33
2
12
22
32
1
11
21
31
0
10
20
30
40
36
5
15
25
35
4
14
24
34
3
13
23
33
2
12
22
32
29
39
8
18
28
38
7
17
27
37
6
16
26
36
5
15
25
35
4
14
32
1
11
21
31
0
10
20
30
40
9
19
29
39
8
18
28
38
7
17
27
37
6
25
35
4
14
24
34
3
13
23
33
2
12
22
32
1
11
21
31
0
10
20
30
40
9
19
29
38
7
17
27
37
6
16
26
36
5
15
25
35
4
14
24
34
3
13
23
33
2
12
22
32
1
11
21
20
30
40
9
19
29
39
8
18
28
38
7
17
27
37
6
16
26
36
5
15
25
35
4
14
24
12
22
32
1
11
21
31
0
10
20
30
40
9
19
29
39
8
18
28
38
7
17
27
35
4
14
24
34
3
13
23
33
2
12
22
32
1
11
21
31
0
10
20
27
37
6
16
26
36
5
15
25
35
4
14
24
34
3
13
23
9
19
29
39
8
18
28
38
7
17
27
37
6
16
1
11
21
31
0
10
20
30
40
9
19
24
34
3
13
23
33
2
12
16
26
36
5
15
39
8
Added: Lucius Chiaraviglio (talk) 07:25, 3 June 2025 (UTC)
55edo (proposed but untested)
(In principle, this should work similarly to the layout for 69edo below, but this needs to be checked for accuracy.)
4
13
8
17
26
35
44
3
12
21
30
39
48
2
11
7
16
25
34
43
52
6
15
24
33
42
2
11
20
29
38
47
1
10
19
28
37
46
0
9
6
15
24
33
42
51
5
14
23
32
41
50
4
13
22
31
40
1
10
19
28
37
46
0
9
18
27
36
45
54
8
17
26
35
44
53
7
5
14
23
32
41
50
4
13
22
31
40
49
3
12
21
30
39
48
2
11
20
29
38
0
9
18
27
36
45
54
8
17
26
35
44
53
7
16
25
34
43
52
6
15
24
33
42
51
5
13
22
31
40
49
3
12
21
30
39
48
2
11
20
29
38
47
1
10
19
28
37
46
0
9
18
27
36
35
44
53
7
16
25
34
43
52
6
15
24
33
42
51
5
14
23
32
41
50
4
13
22
31
40
11
20
29
38
47
1
10
19
28
37
46
0
9
18
27
36
45
54
8
17
26
35
44
33
42
51
5
14
23
32
41
50
4
13
22
31
40
49
3
12
21
30
39
9
18
27
36
45
54
8
17
26
35
44
53
7
16
25
34
43
31
40
49
3
12
21
30
39
48
2
11
20
29
38
7
16
25
34
43
52
6
15
24
33
42
29
38
47
1
10
19
28
37
5
14
23
32
41
27
36
Added: Lucius Chiaraviglio (talk) 07:25, 3 June 2025 (UTC)
Devichromic Octacot + off-beat Ogene Lumatone mappings
69edo (demonstrated to work)
The 6L 3s mapping was originally meant to get as many notes of 69edo as possible onto the space available on existing Lumatones, rather than attempting to fit any particular temperament. However, moving down and right yields 5\69, which maps as 20/19 ~ 21/20 (69edo tempers out 400/399) and can be interpreted as Ogene with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the patent fifth (40\69), making the temperament a Devichromic Octacot (NOT the Octacot of the Tetracot family); no article about Devichromic Octacot temperament is currently available (and even if one was, the temperament would likely get a different permanent name), but an article about Devichromic chords exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~7/6; four of them yield a near-just ~11/9; five of them yield a near-just ~9/7; seven of them yield a mildly flat ~10/7; and nine of them yield a near-just ~11/7. This mapping gets just short of four full octaves, with no missed notes and a very slight slope. Bryan Deister has demonstrated this mapping for 69edo in microtonal improvisation in 69edo (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)
0
9
5
14
23
32
41
1
10
19
28
37
46
55
64
6
15
24
33
42
51
60
0
9
18
27
2
11
20
29
38
47
56
65
5
14
23
32
41
50
7
16
25
34
43
52
61
1
10
19
28
37
46
55
64
4
13
3
12
21
30
39
48
57
66
6
15
24
33
42
51
60
0
9
18
27
36
8
17
26
35
44
53
62
2
11
20
29
38
47
56
65
5
14
23
32
41
50
59
68
4
13
22
31
40
49
58
67
7
16
25
34
43
52
61
1
10
19
28
37
46
55
64
4
13
22
18
27
36
45
54
63
3
12
21
30
39
48
57
66
6
15
24
33
42
51
60
0
9
18
27
36
45
54
41
50
59
68
8
17
26
35
44
53
62
2
11
20
29
38
47
56
65
5
14
23
32
41
50
59
4
13
22
31
40
49
58
67
7
16
25
34
43
52
61
1
10
19
28
37
46
55
64
27
36
45
54
63
3
12
21
30
39
48
57
66
6
15
24
33
42
51
60
59
68
8
17
26
35
44
53
62
2
11
20
29
38
47
56
65
13
22
31
40
49
58
67
7
16
25
34
43
52
61
45
54
63
3
12
21
30
39
48
57
66
68
8
17
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35
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53
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31
40
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58
67
54
63
Added: Lucius Chiaraviglio (talk) 09:39, 24 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 18:15, 26 May 2025 (UTC)
Moved here from main Keyboard Layout Lab: Lucius Chiaraviglio (talk) 06:45, 31 May 2025 (UTC)
Larger Devichromic (right) Lumatone mappings
83edo (proposed but untested)
(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)
75
81
80
3
9
15
21
79
2
8
14
20
26
32
38
1
7
13
19
25
31
37
43
49
55
61
0
6
12
18
24
30
36
42
48
54
60
66
72
78
5
11
17
23
29
35
41
47
53
59
65
71
77
0
6
12
18
4
10
16
22
28
34
40
46
52
58
64
70
76
82
5
11
17
23
29
35
9
15
21
27
33
39
45
51
57
63
69
75
81
4
10
16
22
28
34
40
46
52
58
8
14
20
26
32
38
44
50
56
62
68
74
80
3
9
15
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27
33
39
45
51
57
63
69
75
19
25
31
37
43
49
55
61
67
73
79
2
8
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32
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56
62
68
74
80
3
9
15
36
42
48
54
60
66
72
78
1
7
13
19
25
31
37
43
49
55
61
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73
79
2
8
14
20
59
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71
77
0
6
12
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36
42
48
54
60
66
72
78
1
7
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19
25
76
82
5
11
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35
41
47
53
59
65
71
77
0
6
12
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24
16
22
28
34
40
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52
58
64
70
76
82
5
11
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23
29
33
39
45
51
57
63
69
75
81
4
10
16
22
28
56
62
68
74
80
3
9
15
21
27
33
73
79
2
8
14
20
26
32
13
19
25
31
37
30
36
Added: Lucius Chiaraviglio (talk) 07:45, 2 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:25, 3 June 2025 (UTC)
97edo (proposed but untested)
(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)
87
94
93
3
10
17
24
92
2
9
16
23
30
37
44
1
8
15
22
29
36
43
50
57
64
71
0
7
14
21
28
35
42
49
56
63
70
77
84
91
6
13
20
27
34
41
48
55
62
69
76
83
90
0
7
14
21
5
12
19
26
33
40
47
54
61
68
75
82
89
96
6
13
20
27
34
41
11
18
25
32
39
46
53
60
67
74
81
88
95
5
12
19
26
33
40
47
54
61
68
10
17
24
31
38
45
52
59
66
73
80
87
94
4
11
18
25
32
39
46
53
60
67
74
81
88
23
30
37
44
51
58
65
72
79
86
93
3
10
17
24
31
38
45
52
59
66
73
80
87
94
4
11
18
43
50
57
64
71
78
85
92
2
9
16
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30
37
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51
58
65
72
79
86
93
3
10
17
24
70
77
84
91
1
8
15
22
29
36
43
50
57
64
71
78
85
92
2
9
16
23
30
90
0
7
14
21
28
35
42
49
56
63
70
77
84
91
1
8
15
22
29
20
27
34
41
48
55
62
69
76
83
90
0
7
14
21
28
35
40
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54
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75
82
89
96
6
13
20
27
34
67
74
81
88
95
5
12
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33
40
87
94
4
11
18
25
32
39
17
24
31
38
45
37
44
Added: Lucius Chiaraviglio (talk) 07:45, 2 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:25, 3 June 2025 (UTC)
111edo (proposed but untested)
(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the very flat b val fifth.)
75
83
82
90
98
106
3
81
89
97
105
2
10
18
26
88
96
104
1
9
17
25
33
41
49
57
87
95
103
0
8
16
24
32
40
48
56
64
72
80
94
102
110
7
15
23
31
39
47
55
63
71
79
87
95
103
0
93
101
109
6
14
22
30
38
46
54
62
70
78
86
94
102
110
7
15
23
100
108
5
13
21
29
37
45
53
61
69
77
85
93
101
109
6
14
22
30
38
46
54
99
107
4
12
20
28
36
44
52
60
68
76
84
92
100
108
5
13
21
29
37
45
53
61
69
77
3
11
19
27
35
43
51
59
67
75
83
91
99
107
4
12
20
28
36
44
52
60
68
76
84
92
100
108
26
34
42
50
58
66
74
82
90
98
106
3
11
19
27
35
43
51
59
67
75
83
91
99
107
4
57
65
73
81
89
97
105
2
10
18
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34
42
50
58
66
74
82
90
98
106
3
11
80
88
96
104
1
9
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25
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57
65
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81
89
97
105
2
10
0
8
16
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32
40
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56
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72
80
88
96
104
1
9
17
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31
39
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55
63
71
79
87
95
103
0
8
16
54
62
70
78
86
94
102
110
7
15
23
77
85
93
101
109
6
14
22
108
5
13
21
29
20
28
Added: Lucius Chiaraviglio (talk) 07:45, 2 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:25, 3 June 2025 (UTC)
