User:Lucius Chiaraviglio/Keyboard Layout Lab/Non-Isomorphic Lumatone mappings: Difference between revisions

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Add Bryan Deister's pseudo-isomorphic mapping for 61edo
Got approval for Bryan Deister's Lumatone mappings for 61edo, 70edo, and 87edo
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Mappings that can be generated by the isomorphic mechanism by specifying a number of notes per interval of equivalence that is different from the actual number of notes (generally, 1 extra note which is actually a duplicate of the next note 0).
Mappings that can be generated by the isomorphic mechanism by specifying a number of notes per interval of equivalence that is different from the actual number of notes (generally, 1 extra note which is actually a duplicate of the next note 0).


=== 61edo (demonstrated to work but awaiting approval) ===
=== 61edo (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[61edo]] in [https://www.youtube.com/shorts/S9bJnllI7CI ''61edo prelude''] (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 61 is actually another note 0, so as to reset octave pitch down by half of ~[[81/80]] (considerably deflated).
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[61edo]] in [https://www.youtube.com/shorts/S9bJnllI7CI ''61edo prelude''] (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 61 is actually another note 0, so as to reset octave pitch down by half of ~[[81/80]] (considerably deflated).
Line 15: Line 15:
{{Lumatone EDO mapping|n=62|start=58|xstep=10|ystep=-4}}
{{Lumatone EDO mapping|n=62|start=58|xstep=10|ystep=-4}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:21, 20 September 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:21, 20 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 21 September 2025 (UTC)


=== 70edo (demonstrated to work but awaiting approval) ===
=== 70edo (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[70edo]] in [https://www.youtube.com/watch?v=-NEq3jKHjzs ''Improv in 70edo''] (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 70 is actually another note 0, so as to reset octave pitch down by ~[[81/80]] (moderately deflated).
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[70edo]] in [https://www.youtube.com/watch?v=-NEq3jKHjzs ''Improv in 70edo''] (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 70 is actually another note 0, so as to reset octave pitch down by ~[[81/80]] (moderately deflated).
Line 23: Line 24:
{{Lumatone EDO mapping|n=71|start=61|xstep=11|ystep=-3}}
{{Lumatone EDO mapping|n=71|start=61|xstep=11|ystep=-3}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:09, 20 September 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:09, 20 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 21 September 2025 (UTC)


=== 87edo (demonstrated to work but awaiting approval) ===
=== 87edo (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[87edo]] in [https://www.youtube.com/shorts/5OH9OOGeuX4 ''87edo waltz''] (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 87 is actually another note 0, so as to reset octave pitch down by half of ~[[81/80]] (moderately inflated).
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[87edo]] in [https://www.youtube.com/shorts/5OH9OOGeuX4 ''87edo waltz''] (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 87 is actually another note 0, so as to reset octave pitch down by half of ~[[81/80]] (moderately inflated).
Line 31: Line 33:
{{Lumatone EDO mapping|n=88|start=80|xstep=14|ystep=-5}}
{{Lumatone EDO mapping|n=88|start=80|xstep=14|ystep=-5}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:00, 20 September 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:00, 20 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 21 September 2025 (UTC)


=== 91edo (demonstrated to work) ===
=== 91edo (demonstrated to work) ===
Line 40: Line 43:


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:02, 4 June 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:02, 4 June 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:54, 8 June 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:54, 8 June 2025 (UTC)<br>
Moved here from User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 20 September 2025 (UTC)
Moved here from User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 20 September 2025 (UTC)

Revision as of 06:54, 21 September 2025

As the page title implies, this page gets non-isomorphic Lumatone mappings, including those that can be generated by the isomorphic mechanism by specifying a number of notes per interval of equivalence that is different from the actual number of notes.

Named Note Lumatone Mappings

(This section is a placeholder.)

Pseudo-Isomorphic Lumatone Mappings

Mappings that can be generated by the isomorphic mechanism by specifying a number of notes per interval of equivalence that is different from the actual number of notes (generally, 1 extra note which is actually a duplicate of the next note 0).

61edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 61edo in 61edo prelude (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 61 is actually another note 0, so as to reset octave pitch down by half of ~81/80 (considerably deflated).

58
6
2
12
22
32
42
60
8
18
28
38
48
58
6
4
14
24
34
44
54
2
12
22
32
42
0
10
20
30
40
50
60
8
18
28
38
48
58
6
6
16
26
36
46
56
4
14
24
34
44
54
2
12
22
32
42
2
12
22
32
42
52
0
10
20
30
40
50
60
8
18
28
38
48
58
6
8
18
28
38
48
58
6
16
26
36
46
56
4
14
24
34
44
54
2
12
22
32
42
4
14
24
34
44
54
2
12
22
32
42
52
0
10
20
30
40
50
60
8
18
28
38
48
58
6
20
30
40
50
60
8
18
28
38
48
58
6
16
26
36
46
56
4
14
24
34
44
54
2
12
22
32
42
46
56
4
14
24
34
44
54
2
12
22
32
42
52
0
10
20
30
40
50
60
8
18
28
38
48
20
30
40
50
60
8
18
28
38
48
58
6
16
26
36
46
56
4
14
24
34
44
54
46
56
4
14
24
34
44
54
2
12
22
32
42
52
0
10
20
30
40
50
20
30
40
50
60
8
18
28
38
48
58
6
16
26
36
46
56
46
56
4
14
24
34
44
54
2
12
22
32
42
52
20
30
40
50
60
8
18
28
38
48
58
46
56
4
14
24
34
44
54
20
30
40
50
60
46
56

Added: Lucius Chiaraviglio (talk) 08:21, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:54, 21 September 2025 (UTC)

70edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 70edo in Improv in 70edo (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 70 is actually another note 0, so as to reset octave pitch down by ~81/80 (moderately deflated).

61
1
69
9
20
31
42
66
6
17
28
39
50
61
1
3
14
25
36
47
58
69
9
20
31
42
0
11
22
33
44
55
66
6
17
28
39
50
61
1
8
19
30
41
52
63
3
14
25
36
47
58
69
9
20
31
42
5
16
27
38
49
60
0
11
22
33
44
55
66
6
17
28
39
50
61
1
13
24
35
46
57
68
8
19
30
41
52
63
3
14
25
36
47
58
69
9
20
31
42
10
21
32
43
54
65
5
16
27
38
49
60
0
11
22
33
44
55
66
6
17
28
39
50
61
1
29
40
51
62
2
13
24
35
46
57
68
8
19
30
41
52
63
3
14
25
36
47
58
69
9
20
31
42
59
70
10
21
32
43
54
65
5
16
27
38
49
60
0
11
22
33
44
55
66
6
17
28
39
50
29
40
51
62
2
13
24
35
46
57
68
8
19
30
41
52
63
3
14
25
36
47
58
59
70
10
21
32
43
54
65
5
16
27
38
49
60
0
11
22
33
44
55
29
40
51
62
2
13
24
35
46
57
68
8
19
30
41
52
63
59
70
10
21
32
43
54
65
5
16
27
38
49
60
29
40
51
62
2
13
24
35
46
57
68
59
70
10
21
32
43
54
65
29
40
51
62
2
59
70

Added: Lucius Chiaraviglio (talk) 08:09, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:54, 21 September 2025 (UTC)

87edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 87edo in 87edo waltz (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 87 is actually another note 0, so as to reset octave pitch down by half of ~81/80 (moderately inflated).

80
6
1
15
29
43
57
84
10
24
38
52
66
80
6
5
19
33
47
61
75
1
15
29
43
57
0
14
28
42
56
70
84
10
24
38
52
66
80
6
9
23
37
51
65
79
5
19
33
47
61
75
1
15
29
43
57
4
18
32
46
60
74
0
14
28
42
56
70
84
10
24
38
52
66
80
6
13
27
41
55
69
83
9
23
37
51
65
79
5
19
33
47
61
75
1
15
29
43
57
8
22
36
50
64
78
4
18
32
46
60
74
0
14
28
42
56
70
84
10
24
38
52
66
80
6
31
45
59
73
87
13
27
41
55
69
83
9
23
37
51
65
79
5
19
33
47
61
75
1
15
29
43
57
68
82
8
22
36
50
64
78
4
18
32
46
60
74
0
14
28
42
56
70
84
10
24
38
52
66
31
45
59
73
87
13
27
41
55
69
83
9
23
37
51
65
79
5
19
33
47
61
75
68
82
8
22
36
50
64
78
4
18
32
46
60
74
0
14
28
42
56
70
31
45
59
73
87
13
27
41
55
69
83
9
23
37
51
65
79
68
82
8
22
36
50
64
78
4
18
32
46
60
74
31
45
59
73
87
13
27
41
55
69
83
68
82
8
22
36
50
64
78
31
45
59
73
87
68
82

Added: Lucius Chiaraviglio (talk) 08:00, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:54, 21 September 2025 (UTC)

91edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 91edo in microtonal improvisation in 91edo (2025). This layout is numbered as for 92edo, but note 91 is actually a duplicate of note 0. The range is just one note short of 3 full octaves, with octaves sloping down gently, unlike the fully isomorphic version below, which avoids the interruption from the duplicated note 0 and has slightly greater range, but at the cost of greater (and opposite) octave slope and a vertical wraparound of note 0 with ascending octaves (as well as producing a discontinuity in scales). This mapping has the same generators as the fully isomorphic version, as described below.

0
9
5
14
23
32
41
1
10
19
28
37
46
55
64
6
15
24
33
42
51
60
69
78
87
4
2
11
20
29
38
47
56
65
74
83
0
9
18
27
7
16
25
34
43
52
61
70
79
88
5
14
23
32
41
50
59
3
12
21
30
39
48
57
66
75
84
1
10
19
28
37
46
55
64
73
82
8
17
26
35
44
53
62
71
80
89
6
15
24
33
42
51
60
69
78
87
4
13
22
4
13
22
31
40
49
58
67
76
85
2
11
20
29
38
47
56
65
74
83
0
9
18
27
36
45
18
27
36
45
54
63
72
81
90
7
16
25
34
43
52
61
70
79
88
5
14
23
32
41
50
59
68
77
41
50
59
68
77
86
3
12
21
30
39
48
57
66
75
84
1
10
19
28
37
46
55
64
73
82
73
82
91
8
17
26
35
44
53
62
71
80
89
6
15
24
33
42
51
60
69
78
87
4
13
22
31
40
49
58
67
76
85
2
11
20
29
38
47
56
65
74
83
36
45
54
63
72
81
90
7
16
25
34
43
52
61
70
79
88
59
68
77
86
3
12
21
30
39
48
57
66
75
84
91
8
17
26
35
44
53
62
71
80
89
22
31
40
49
58
67
76
85
54
63
72
81
90
77
86

Added: Lucius Chiaraviglio (talk) 16:02, 4 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:54, 8 June 2025 (UTC)
Moved here from User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings: Lucius Chiaraviglio (talk) 07:32, 20 September 2025 (UTC)

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