User:Lucius Chiaraviglio/Keyboard Layout Lab/Non-Octave Lumatone mappings

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This page is for Lumatone mappings for non-octave tuning systems. Identifying a temperament for non-octave tunings will be difficult due to lack of exploration compared to octave temperaments, so that is currently not a factor for separation of pages.

Unnamed Temperament Lumatone mappings ED4/3

8ed4/3 (demonstrated to work but awaiting approval)

Bryan Deister has demonstrated a mapping of 8ed4/3 using a 1L 4s (4/3-equivalent) scale (oriented nearly vertically) having a 4:1 step ration, in 8ed(4/3) improv (2025).

0
4
3
7
3
7
3
2
6
2
6
2
6
2
6
5
1
5
1
5
1
5
1
5
1
5
4
0
4
0
4
0
4
0
4
0
4
0
4
0
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
2
6
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
4
0
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
7
3
6
2
6
2
6
2
6
2
6
2
6
2
6
2
5
1
5
1
5
1
5
1
5
1
5
0
4
0
4
0
4
0
4
7
3
7
3
7
2
6

Added: Lucius Chiaraviglio (talk) 06:59, 18 October 2025 (UTC)

Unnamed Temperament Lumatone mappings ED3/2 (EDF)

60edf (demonstrated to work but awaiting approval)

Bryan Deister has demonstrated a mapping of 60edf using a 5L 1s (3/2-equivalent) scale having a 11:5 step ratio, in 60ed(3/2) improv (2025). It takes advantage of nearly equal errors in the 2nd and 13th harmonics and a near-just 7th harmonic to make the (rightward) generator a near-just tridecimal 2/3-tone (~14/13), as 11\60ed3/2, and three of these yield the sound of a classic major third (as 33\60ed3/2), although ~5/4 itself is mapped inconsistently to 32\60ed3/2. The range is a bit over five fifths with a moderate upwards slope, but at the cost of missing a few notes in each fifth.

3
14
8
19
30
41
52
2
13
24
35
46
57
8
19
7
18
29
40
51
2
13
24
35
46
57
1
12
23
34
45
56
7
18
29
40
51
2
13
24
6
17
28
39
50
1
12
23
34
45
56
7
18
29
40
51
2
0
11
22
33
44
55
6
17
28
39
50
1
12
23
34
45
56
7
18
29
5
16
27
38
49
0
11
22
33
44
55
6
17
28
39
50
1
12
23
34
45
56
7
59
10
21
32
43
54
5
16
27
38
49
0
11
22
33
44
55
6
17
28
39
50
1
12
23
34
15
26
37
48
59
10
21
32
43
54
5
16
27
38
49
0
11
22
33
44
55
6
17
28
39
50
1
12
42
53
4
15
26
37
48
59
10
21
32
43
54
5
16
27
38
49
0
11
22
33
44
55
6
17
20
31
42
53
4
15
26
37
48
59
10
21
32
43
54
5
16
27
38
49
0
11
22
47
58
9
20
31
42
53
4
15
26
37
48
59
10
21
32
43
54
5
16
25
36
47
58
9
20
31
42
53
4
15
26
37
48
59
10
21
52
3
14
25
36
47
58
9
20
31
42
53
4
15
30
41
52
3
14
25
36
47
58
9
20
57
8
19
30
41
52
3
14
35
46
57
8
19
2
13

Added: Lucius Chiaraviglio (talk) 06:59, 18 October 2025 (UTC)

Unnamed Temperament Lumatone mappings ED8/5

= 7ed8/5 (demonstrated to work but awaiting approval

Bryan Deister has demonstrated a mapping of 7ed8/5 using a 2L 1s (8/5-equivalent) scale having a 3:1 step ratio, in 7ed(8/5) improv (2025). Right by one key is 3\7ed8/5 to yield a slightly flat neutral third (~11/9]]), which means that two of them make a mildly flat fifth (~3/2), while down-right by one key is 1\7ed8/5, which is a somewhat wide diatonic semitone (~16/15), which means that Up is 2\7ed8/5, which is a near-just septimal whole tone (~8/7). (Caution: These intervals have not been checked for consistent mapping.) The range is nearly five instances of 8/5, and the 8/5 slope is gently upward.

0
3
1
4
0
3
6
6
2
5
1
4
0
3
6
0
3
6
2
5
1
4
0
3
6
2
5
1
4
0
3
6
2
5
1
4
0
3
6
2
6
2
5
1
4
0
3
6
2
5
1
4
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3
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2
5
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5
1
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5
1
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5
5
1
4
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1
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5
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2
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1
0
3
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3
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2
5
1
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3
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2
5
1
4
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3
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2
5
1
4
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3
6
2
5
1
4
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3
6
2
5
1
4
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3
6
2
5
1
4
0
3
6
2
5
3
6
2
5
1
4
0
3
6
2
5
1
4
0
3
6
2
5
1
4
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3
6
3
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2
5
1
4
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3
6
2
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1
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3
6
2
5
1
4
6
2
5
1
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3
6
2
5
1
4
0
3
6
2
5
6
2
5
1
4
0
3
6
2
5
1
4
0
3
2
5
1
4
0
3
6
2
5
1
4
2
5
1
4
0
3
6
2
5
1
4
0
3
5
1

Added: Lucius Chiaraviglio (talk) 07:42, 19 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:44, 19 October 2025 (UTC)

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