Lumatone mapping for 22edo: Difference between revisions
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{{Lumatone mapping intro}} This is "Preset 5 — 22-ET Bosanquet" in the official Lumatone manual. | {{Lumatone mapping intro}} This is "Preset 5 — 22-ET Bosanquet" in the official Lumatone manual. | ||
== Diatonic == | |||
{{Lumatone EDO mapping|n=22|start=4|xstep=4|ystep=-3}} | {{Lumatone EDO mapping|n=22|start=4|xstep=4|ystep=-3}} | ||
Keep in mind that, since 22edo is a [[superpyth]] temperament, 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 7 represents 5/4 and you can find that by going over to 4 {{nowrap|(C → D)}} and then going up to 7 {{nowrap|(D → D♯)}}. If you want 5-limit intervals to be accessible in a more intuitive way, the [[1L 6s]] mapping for [[ | Keep in mind that, since 22edo is a [[superpyth]] temperament, 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 7 represents 5/4 and you can find that by going over to 4 {{nowrap|(C → D)}} and then going up to 7 {{nowrap|(D → D♯)}}. | ||
== Porcupine == | |||
If you want 5-limit intervals to be accessible in a more intuitive way, the [[1L 6s]] mapping for [[Porcupine]] may be preferable. | |||
{{Lumatone EDO mapping|n=22|start=7|xstep=3|ystep=1}} | {{Lumatone EDO mapping|n=22|start=7|xstep=3|ystep=1}} | ||
== Magic == | |||
If you want to maximise playable range, the [[magic]] mapping is the widest one that still covers the full gamut, with the two most compressed MOSes spanning between 8 and 11 octaves. Though, the resulting [[3L 4s]] MOS has a 6:1 step ratio, making it very lopsided. | |||
=== Compressed === | |||
{{Lumatone EDO mapping|n=22|start=15|xstep=7|ystep=-6}} | {{Lumatone EDO mapping|n=22|start=15|xstep=7|ystep=-6}} | ||
=== Extra-compressed === | |||
{{Lumatone EDO mapping|n=22|start=13|xstep=7|ystep=1}} | {{Lumatone EDO mapping|n=22|start=13|xstep=7|ystep=1}} | ||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||
Revision as of 14:44, 23 March 2025
There are many conceivable ways to map 22edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. This is "Preset 5 — 22-ET Bosanquet" in the official Lumatone manual.
Diatonic
4
8
5
9
13
17
21
2
6
10
14
18
0
4
8
3
7
11
15
19
1
5
9
13
17
21
0
4
8
12
16
20
2
6
10
14
18
0
4
8
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
20
2
6
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
21
3
7
11
15
19
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
3
7
11
15
19
1
10
14
18
0
4
8
12
16
20
2
6
10
14
18
0
4
8
12
16
20
1
5
9
13
17
21
3
7
11
15
19
1
5
9
13
17
21
10
14
18
0
4
8
12
16
20
2
6
10
14
18
1
5
9
13
17
21
3
7
11
15
19
10
14
18
0
4
8
12
16
1
5
9
13
17
10
14
Keep in mind that, since 22edo is a superpyth temperament, 5/4 is mapped to the interval of an augmented second (e.g. a 5/4 above C is D♯). Therefore if 0 is 1/1 on this mapping, 7 represents 5/4 and you can find that by going over to 4 (C → D) and then going up to 7 (D → D♯).
Porcupine
If you want 5-limit intervals to be accessible in a more intuitive way, the 1L 6s mapping for Porcupine may be preferable.
7
10
11
14
17
20
1
12
15
18
21
2
5
8
11
16
19
0
3
6
9
12
15
18
21
2
17
20
1
4
7
10
13
16
19
0
3
6
9
12
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
16
19
0
3
6
9
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
17
20
1
4
7
10
13
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
2
5
8
11
14
14
17
20
1
4
7
10
13
16
19
0
3
6
9
12
15
18
2
5
8
11
14
17
20
1
4
7
10
13
16
19
15
18
21
2
5
8
11
14
17
20
1
3
6
9
12
15
18
21
2
16
19
0
3
6
4
7
Magic
If you want to maximise playable range, the magic mapping is the widest one that still covers the full gamut, with the two most compressed MOSes spanning between 8 and 11 octaves. Though, the resulting 3L 4s MOS has a 6:1 step ratio, making it very lopsided.
Compressed
15
0
16
1
8
15
0
10
17
2
9
16
1
8
15
11
18
3
10
17
2
9
16
1
8
15
5
12
19
4
11
18
3
10
17
2
9
16
1
8
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
0
7
14
21
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
1
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
1
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
3
10
17
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
4
11
18
3
10
17
2
9
16
1
8
15
0
7
4
11
18
3
10
17
2
9
16
1
8
19
4
11
18
3
10
17
2
19
4
11
18
3
12
19
Extra-compressed
13
20
21
6
13
20
5
0
7
14
21
6
13
20
5
8
15
0
7
14
21
6
13
20
5
12
9
16
1
8
15
0
7
14
21
6
13
20
5
12
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
4
11
20
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
12
19
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
13
20
5
5
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
21
6
12
19
4
11
18
3
10
17
2
9
16
1
8
15
0
7
14
12
19
4
11
18
3
10
17
2
9
16
1
8
15
19
4
11
18
3
10
17
2
9
16
1
19
4
11
18
3
10
17
2
4
11
18
3
10
4
11