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| == Diatonic == | | == Diatonic == |
| The [[Standard Lumatone mapping for Pythagorean]], as the name implies, works for using 41edo as an extended [[Pythagorean tuning]]. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/m8X-IqH8tok ''Waltz in 41edo''] (2025). | | The [[Standard Lumatone mapping for Pythagorean]], as the name implies, works for using 41edo as an extended [[Pythagorean tuning]]. However, as 41edo is a [[schismic]] tuning rather than a [[meantone]] one, the approximated [[5/4]] is found at the diminished fourth (C–F♭) rather than the major third (C–E). [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/m8X-IqH8tok ''Waltz in 41edo''] (2025). |
| {{Lumatone EDO mapping|n=41|start=2|xstep=7|ystep=-4}} | | {{Lumatone EDO mapping|n=41|start=2|xstep=7|ystep=-4}} |
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There are many conceivable ways to map 41edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. Herman Miller has documented five 41edo layouts, available for download at File:41edo lumatone layouts.zip.
Diatonic
The Standard Lumatone mapping for Pythagorean, as the name implies, works for using 41edo as an extended Pythagorean tuning. However, as 41edo is a schismic tuning rather than a meantone one, the approximated 5/4 is found at the diminished fourth (C–F♭) rather than the major third (C–E). Bryan Deister has demonstrated this mapping in Waltz in 41edo (2025).
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Magic
The magic mapping is particularly efficient at putting good intervals close to each other and dissonant ones far away, as demonstrated in more detail in the writings on the kite guitar.
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Tetracot
The tetracot mapping also puts consonant intervals within easy reach, making major, minor, and neutral triads particularly intuitive to play.
Standard
The standard 6L 1s mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. Bryan Deister has demonstrated this mapping (although offset in MIDI note position) in Winds Up The Best - 41edo (2026) ([short 1], [short 2]), from a point a few seconds into [short 1] up to slightly beyond the halfway point of [short 2], before switching on-the-fly to the baldy mapping (see below), which is also used in the first few seconds of [short 1].
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Compressed
This can be compressed down to a 1L 5s mapping that extends range, but makes fingerings for common chords slightly more awkward, although it does slightly reduce the upward slope of octaves.
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Rodan
If you want to maximise your range while having access to all notes in each octave, the compressed rodan mapping is about as good as you can get.
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However, this puts octaves all over the place. The expanded rodan and baldy mappings still have a wider range than the standard one and are more ergonomic for play.
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Baldy
Bryan Deister has demonstrated this mapping (although offset in MIDI note position) in Winds Up The Best - 41edo (2026) ([short 1], [short 2]), in the first few seconds of [short 1] and the last slightly less than half of [short 2], with the rest being in the tetracot mapping (see above), again having switched mappings on the fly.
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Miracle (miraculous) Lumatone mappings
It is possible to map 41edo as a miracle (miraculous) tuning, with a 8L 3s scale (4:3 step ratio), using a secor (~15/14 tempered together with ~16/15) which is in turn tempered together with ~14/13 (as per the miraculous 13-limit extension). In this mapping, the range is only three octaves, but the octaves are perfectly level, each note is repeated at least twice, with a few being repeated three times, thus enabling the use of two manuals if the layout is offset appropriately. Bryan Deister has used this layout in microtonal dance in 41edo (2023), although without a color scheme that would show the layout.
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Superkleismic Lumatone mappings
Bryan Deister has demonstrated a superkleismic 4L 3s (8:3 step ratio) mapping for 41edo, in 41edo groove (2025). Bryan Deister explains that the coloring in this video highlights major triads, where going right and up yields a major third (~5/4, somewhat flat) and going right three times yields the fifth (~3/2, near-just). The range is somewhat over five octaves, which slope down moderately.
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4
12
20
28
36
3
11
35
2
10
18
26
34
1
9
17
25
33
0
8
16
24
32
40
7
15
23
31
39
6
14
22
30
5
13
21
29
37
4
12
20
28
36
3
11
19
27
35
2
10
18
26
34
1
9
17
25
33
0
8
16
24
32
40
7
15
23
31
39
6
14
22
30
38
5
13
21
29
37
4
12
20
28
36
3
11
19
10
18
26
34
1
9
17
25
33
0
8
16
24
32
40
7
15
23
31
39
6
14
22
29
37
4
12
20
28
36
3
11
19
27
35
2
10
18
26
34
1
9
17
15
23
31
39
6
14
22
30
38
5
13
21
29
37
4
12
20
34
1
9
17
25
33
0
8
16
24
32
40
7
15
20
28
36
3
11
19
27
35
2
10
18
39
6
14
22
30
38
5
13
25
33
0
8
16
3
11
See also
