Lumatone mapping for 28edo: Difference between revisions

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Add Bryan Deister's mapping (which happens to correspond to Machine temperament)
 
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Since the 5th harmonic is easily the best tuned interval, the [[Würschmidt]] mapping is a good way to maximise your range (a bit over eight octaves, nearly level) and make consonant chords easy to reach.  
Since the 5th harmonic is easily the best tuned interval, the [[Würschmidt]] mapping is a good way to maximise your range (a bit over eight octaves, nearly level) and make consonant chords easy to reach.  
{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}
{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}
== Bryan Deister's layout (Machine) ==
[[Bryan Deister]] has used a layout for [[28edo]] that was inspired by the layout for [[29edo]] (rather than being made for any specific temperament), as demonstrated in [https://www.youtube.com/shorts/--BIQKJ9uvI ''minuet in 28edo''] (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~[[9/8]], or near-just [[17/15]], 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~[[14/13]], 3\28).  The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches [[Machine]].
{{Lumatone EDO mapping|n=28|start=4|xstep=5|ystep=-3}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}

Latest revision as of 05:44, 27 March 2025

There are many conceivable ways to map 28edo onto the onto the Lumatone keyboard. However, it has 4 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Whitewood

The Whitewood mapping is perhaps the most diatonic-like mapping that covers all notes.

20
24
23
27
3
7
11
22
26
2
6
10
14
18
22
25
1
5
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13
17
21
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1
5
9
24
0
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0
4
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16
20
27
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7
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3
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3
7
26
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2
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2
6
10
14
18
1
5
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1
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25
1
5
9
13
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21
25
1
5
0
4
8
12
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20
24
0
4
8
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16
20
24
0
4
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0
4
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7
11
15
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23
27
3
7
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15
19
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27
3
7
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27
3
7
11
15
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23
27
3
18
22
26
2
6
10
14
18
22
26
2
6
10
14
18
22
26
2
6
10
14
18
22
26
2
6
5
9
13
17
21
25
1
5
9
13
17
21
25
1
5
9
13
17
21
25
1
5
9
16
20
24
0
4
8
12
16
20
24
0
4
8
12
16
20
24
0
4
8
3
7
11
15
19
23
27
3
7
11
15
19
23
27
3
7
11
14
18
22
26
2
6
10
14
18
22
26
2
6
10
1
5
9
13
17
21
25
1
5
9
13
12
16
20
24
0
4
8
12
27
3
7
11
15
10
14

Würschmidt

Since the 5th harmonic is easily the best tuned interval, the Würschmidt mapping is a good way to maximise your range (a bit over eight octaves, nearly level) and make consonant chords easy to reach.

21
2
22
3
12
21
2
14
23
4
13
22
3
12
21
15
24
5
14
23
4
13
22
3
12
21
7
16
25
6
15
24
5
14
23
4
13
22
3
12
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
12
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
4
13
22
3
12
21
2
11
20
1
10
19
0
9
18
27
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17
26
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16
25
6
15
24
5
14
23
4
13
22
22
3
12
21
2
11
20
1
10
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0
9
18
27
8
17
26
7
16
25
6
15
24
5
14
23
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
25
6
15
24
13
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
26
7
16
13
22
3
12
21
2
11
20
1
10
19
0
9
18
27
8
17
4
13
22
3
12
21
2
11
20
1
10
19
0
9
4
13
22
3
12
21
2
11
20
1
10
23
4
13
22
3
12
21
2
23
4
13
22
3
14
23

Bryan Deister's layout (Machine)

Bryan Deister has used a layout for 28edo that was inspired by the layout for 29edo (rather than being made for any specific temperament), as demonstrated in minuet in 28edo (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~9/8, or near-just 17/15, 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~14/13, 3\28). The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches Machine.

4
9
6
11
16
21
26
3
8
13
18
23
0
5
10
5
10
15
20
25
2
7
12
17
22
27
2
7
12
17
22
27
4
9
14
19
24
1
6
11
4
9
14
19
24
1
6
11
16
21
26
3
8
13
18
23
0
1
6
11
16
21
26
3
8
13
18
23
0
5
10
15
20
25
2
7
12
3
8
13
18
23
0
5
10
15
20
25
2
7
12
17
22
27
4
9
14
19
24
1
0
5
10
15
20
25
2
7
12
17
22
27
4
9
14
19
24
1
6
11
16
21
26
3
8
13
7
12
17
22
27
4
9
14
19
24
1
6
11
16
21
26
3
8
13
18
23
0
5
10
15
20
25
2
19
24
1
6
11
16
21
26
3
8
13
18
23
0
5
10
15
20
25
2
7
12
17
22
27
4
8
13
18
23
0
5
10
15
20
25
2
7
12
17
22
27
4
9
14
19
24
1
6
20
25
2
7
12
17
22
27
4
9
14
19
24
1
6
11
16
21
26
3
9
14
19
24
1
6
11
16
21
26
3
8
13
18
23
0
5
21
26
3
8
13
18
23
0
5
10
15
20
25
2
10
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20
25
2
7
12
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22
27
4
22
27
4
9
14
19
24
1
11
16
21
26
3
23
0


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