Lumatone mapping for 53edo: Difference between revisions
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== Diatonic == | == Diatonic == | ||
This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21. | This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21. [[Cam Taylor]] has created a tour of intervals for this layout, in [https://www.youtube.com/watch?v=IdiMNP4MSx8&t=2s&pp=0gcJCbIJAYcqIYzv ''A meander around 53-equal on the Lumatone''] (2025). | ||
{{Lumatone EDO mapping|n=53|start=2|xstep=9|ystep=-5}} | {{Lumatone EDO mapping|n=53|start=2|xstep=9|ystep=-5}} | ||
| Line 12: | Line 12: | ||
The expanded [[4L 7s]] mapping does cover the entire gamut, but puts octaves all over the place. | The expanded [[4L 7s]] mapping does cover the entire gamut, but puts octaves all over the place. | ||
{{Lumatone EDO mapping|n=53|start=6|xstep=8|ystep=-5}} | {{Lumatone EDO mapping|n=53|start=6|xstep=8|ystep=-5}} | ||
== Semaja == | |||
The [[Semaja]] mapping covers all the notes with no repeats and slightly greater range than the diatonic one, but 5-limit chords require a diagonal hand position and wrap around at the top. | |||
{{Lumatone EDO mapping|n=53|start=5|xstep=10|ystep=-7}} | |||
== Hemikleismic + Semaja == | |||
[[Bryan Deister]] has demonstrated a mapping for [[53edo]] in [https://www.youtube.com/shorts/WtSaDQCyfVc ''Waltz in 53edo''] (2026) that functions for [[Kleismic_family#Hemikleismic|hemikleismic]] ([[7L 1s]] scale with a 7:4 step ratio right and right-up with the small step stretched) and [[Porwell_temperaments#Semaja|semaja]] (rotated [[5L 1s]] with a 10:3 step ratio down-right and down); a [[5L 8s (4/1-equivalent)]] scale with a 10:7 step ratio is also available moving right and down-right. The range is a bit over 4⅓ octaves, with no missed notes and just one repeated note in each octave, but the upper left and lower right corners have many additional non-contiguous notes, and the octaves are not in consistent places; on the other hand, classic thirds both minor (two steps right) and major (one step right plus one step down-right) are in very easy reach as long as they do not pass through a vertical wraparound (it may be necessary to adjust note 0 position to avoid this for a particular performance, such as in the linked video which has note 0 where note 3 is here). | |||
{{Lumatone EDO mapping|n=53|start=7|xstep=7|ystep=3}} | |||
== Buzzard == | == Buzzard == | ||
| Line 21: | Line 29: | ||
{{Lumatone EDO mapping|n=53|start=47|xstep=8|ystep=-1}} | {{Lumatone EDO mapping|n=53|start=47|xstep=8|ystep=-1}} | ||
== | == See also == | ||
Due to limitations of the Lumatone EDO mapping template, some Lumatone mappings for 53edo (currently for [[Orwell]] and [[semiquartal]] layout families) had to be moved to another page. | |||
* [[Lumatone mapping for 53edo (part 2)]] | |||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||
Latest revision as of 10:37, 4 March 2026
There are many conceivable ways to map 53edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21. Cam Taylor has created a tour of intervals for this layout, in A meander around 53-equal on the Lumatone (2025).
2
11
6
15
24
33
42
1
10
19
28
37
46
2
11
5
14
23
32
41
50
6
15
24
33
42
0
9
18
27
36
45
1
10
19
28
37
46
2
11
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
2
11
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
51
7
16
25
34
43
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
2
11
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
33
42
51
7
16
25
34
43
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
33
42
51
7
16
25
34
43
52
8
17
26
35
44
0
9
18
27
36
45
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
33
42
51
7
16
25
34
43
52
8
17
26
35
44
11
20
29
38
47
3
12
21
30
39
48
33
42
51
7
16
25
34
43
11
20
29
38
47
33
42
Hanson
Since 53edo is a schismatic tuning, the best approximation to 5/4 is the diminished fourth. The Hanson mapping makes playing familiar 5-limit chords easier, but the 4L 3s mapping does not quite span the full gamut.
5
16
8
19
30
41
52
0
11
22
33
44
2
13
24
3
14
25
36
47
5
16
27
38
49
7
48
6
17
28
39
50
8
19
30
41
52
10
21
32
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
40
46
4
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
43
1
12
23
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
52
10
21
32
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
40
51
9
20
31
24
35
46
4
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
43
1
12
23
34
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
32
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
40
51
9
20
31
42
0
11
22
33
44
2
13
24
23
34
45
3
14
25
36
47
5
16
27
48
6
17
28
39
50
8
19
31
42
0
11
22
3
14
The expanded 4L 7s mapping does cover the entire gamut, but puts octaves all over the place.
6
14
9
17
25
33
41
4
12
20
28
36
44
52
7
7
15
23
31
39
47
2
10
18
26
34
2
10
18
26
34
42
50
5
13
21
29
37
45
0
5
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
0
8
16
24
32
40
48
3
11
19
27
35
43
51
6
14
22
30
38
46
3
11
19
27
35
43
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
12
20
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
12
20
28
36
44
52
7
15
23
31
39
9
17
25
33
41
49
4
12
20
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
5
13
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
5
13
21
29
37
45
0
8
16
2
10
18
26
34
42
50
5
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
35
43
51
6
14
48
3
11
19
27
35
43
51
6
14
22
30
38
46
1
9
17
14
22
30
38
46
1
9
17
25
33
41
49
4
12
41
49
4
12
20
28
36
44
52
7
15
7
15
23
31
39
47
2
10
34
42
50
5
13
0
8
Semaja
The Semaja mapping covers all the notes with no repeats and slightly greater range than the diatonic one, but 5-limit chords require a diagonal hand position and wrap around at the top.
5
15
8
18
28
38
48
1
11
21
31
41
51
8
18
4
14
24
34
44
1
11
21
31
41
51
50
7
17
27
37
47
4
14
24
34
44
1
11
21
0
10
20
30
40
50
7
17
27
37
47
4
14
24
34
44
1
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
4
14
24
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
4
42
52
9
19
29
39
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
3
13
23
33
43
0
10
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
3
13
28
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
8
18
28
38
48
5
15
25
35
45
2
12
22
32
42
52
9
31
41
51
8
18
28
38
48
5
15
25
35
45
2
11
21
31
41
51
8
18
28
38
48
5
34
44
1
11
21
31
41
51
14
24
34
44
1
37
47
Hemikleismic + Semaja
Bryan Deister has demonstrated a mapping for 53edo in Waltz in 53edo (2026) that functions for hemikleismic (7L 1s scale with a 7:4 step ratio right and right-up with the small step stretched) and semaja (rotated 5L 1s with a 10:3 step ratio down-right and down); a 5L 8s (4/1-equivalent) scale with a 10:7 step ratio is also available moving right and down-right. The range is a bit over 4⅓ octaves, with no missed notes and just one repeated note in each octave, but the upper left and lower right corners have many additional non-contiguous notes, and the octaves are not in consistent places; on the other hand, classic thirds both minor (two steps right) and major (one step right plus one step down-right) are in very easy reach as long as they do not pass through a vertical wraparound (it may be necessary to adjust note 0 position to avoid this for a particular performance, such as in the linked video which has note 0 where note 3 is here).
7
14
17
24
31
38
45
20
27
34
41
48
2
9
16
30
37
44
51
5
12
19
26
33
40
47
33
40
47
1
8
15
22
29
36
43
50
4
11
18
43
50
4
11
18
25
32
39
46
0
7
14
21
28
35
42
49
46
0
7
14
21
28
35
42
49
3
10
17
24
31
38
45
52
6
13
20
3
10
17
24
31
38
45
52
6
13
20
27
34
41
48
2
9
16
23
30
37
44
51
6
13
20
27
34
41
48
2
9
16
23
30
37
44
51
5
12
19
26
33
40
47
1
8
15
22
23
30
37
44
51
5
12
19
26
33
40
47
1
8
15
22
29
36
43
50
4
11
18
25
32
39
46
0
47
1
8
15
22
29
36
43
50
4
11
18
25
32
39
46
0
7
14
21
28
35
42
49
3
10
25
32
39
46
0
7
14
21
28
35
42
49
3
10
17
24
31
38
45
52
6
13
20
49
3
10
17
24
31
38
45
52
6
13
20
27
34
41
48
2
9
16
23
27
34
41
48
2
9
16
23
30
37
44
51
5
12
19
26
33
51
5
12
19
26
33
40
47
1
8
15
22
29
36
29
36
43
50
4
11
18
25
32
39
46
0
7
14
21
28
35
42
49
31
38
45
52
6
2
9
Buzzard
For easy access to single step movements and both the third and seventh harmonics, the buzzard mapping is quite effective.
8
18
9
19
29
39
49
0
10
20
30
40
50
7
17
1
11
21
31
41
51
8
18
28
38
48
45
2
12
22
32
42
52
9
19
29
39
49
6
16
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
37
47
4
14
24
34
44
1
11
21
31
41
51
8
18
28
38
48
5
15
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
29
39
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
4
14
40
50
7
17
27
37
47
4
14
24
34
44
1
11
21
31
41
51
8
18
28
38
48
5
15
25
35
45
8
18
28
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
39
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
7
17
27
37
47
4
14
24
34
44
1
11
21
31
41
51
8
18
28
38
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
6
16
26
36
46
3
13
23
33
43
0
10
20
30
37
47
4
14
24
34
44
1
11
21
31
5
15
25
35
45
2
12
22
36
46
3
13
23
4
14
Amity
The Lumatone mapping for amity mapping also puts 5-limit chords within very easy reach and provides a relatively even heptatonic scale.
47
2
1
9
17
25
33
0
8
16
24
32
40
48
3
7
15
23
31
39
47
2
10
18
26
34
6
14
22
30
38
46
1
9
17
25
33
41
49
4
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
35
12
20
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
5
19
27
35
43
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
12
20
28
36
18
26
34
42
50
5
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
35
43
51
6
33
41
49
4
12
20
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
5
13
21
29
37
3
11
19
27
35
43
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
12
20
28
36
44
34
42
50
5
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
35
43
51
4
12
20
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
35
43
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
5
13
21
29
37
45
0
8
16
24
32
40
48
3
36
44
52
7
15
23
31
39
47
2
10
6
14
22
30
38
46
1
9
37
45
0
8
16
7
15
See also
Due to limitations of the Lumatone EDO mapping template, some Lumatone mappings for 53edo (currently for Orwell and semiquartal layout families) had to be moved to another page.