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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There are many conceivable ways to map [[28edo]] onto the [[Lumatone]] keyboard. However, as it has multiple small rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Instead, the most diatonic-like mapping is the [[whitewood]] one.
{{Lumatone mapping intro}}
 
== Whitewood ==
The [[Whitewood]] mapping is perhaps the most diatonic-like mapping that covers all notes.
{{Lumatone EDO mapping|n=28|start=20|xstep=4|ystep=-1}}
{{Lumatone EDO mapping|n=28|start=20|xstep=4|ystep=-1}}


Since the 5th harmonic is easily the best tuned interval, the [[Wuerschmidt]] mapping is a good way to maximise your range and make consonant chords easy to reach.  
== 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.  
{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}
{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}


[[Category:Lumatone mappings]] [[Category:28edo]]
== 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}}

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


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