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

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Revision as of 06:59, 18 October 2025 by Lucius Chiaraviglio (talk | contribs) (Start things off with Bryan Deister's Lumatone mappings for 60edf and 8ed(4/3))
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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
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5
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0
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1
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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.

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57
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2
0
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32
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49
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11
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44
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15
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48
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49
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11
22
47
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42
53
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15
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37
48
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32
43
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36
47
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20
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42
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15
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14
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47
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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)

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