Lumatone mapping for 18edo: Difference between revisions

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{{Lumatone mapping intro}}
{{Lumatone mapping intro}} Only two generators work at all to produce single-period mos scales.
[[5L 3s]]-based Jankó mapping for [[18edo]]:
 
== Wide fifth ==
7\18 produces a [[5L 3s]]-based Jankó mapping. [[Bryan Deister]] uses this mapping in [https://www.youtube.com/shorts/-oi5eJA65Zc Waltz in 18edo].
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}}
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-2}}




[[4L 3s]]-based Jankó mapping for [[18edo]]:
This can be compressed down to a [[2L 1s]] mapping that is useful for maximising range.
{{Lumatone EDO mapping|n=18|start=16|xstep=7|ystep=-3}}
 
== Flat neutral thirds ==
5\18 produces a [[4L 3s]]-based Jankó mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/c26Yp_aMgDw ''Lament in 18edo''] (2025).
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-1}}
{{Lumatone EDO mapping|n=18|start=0|xstep=3|ystep=-1}}
This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.
{{Lumatone EDO mapping|n=18|start=16|xstep=5|ystep=-2}}


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

Latest revision as of 22:23, 23 August 2025

There are many conceivable ways to map 18edo onto the onto the Lumatone keyboard. However, as both of its fifths are about as far away from just as possible, neither the sharp or the flat versions of the Standard Lumatone mapping for Pythagorean work particularly well. Only two generators work at all to produce single-period mos scales.

Wide fifth

7\18 produces a 5L 3s-based Jankó mapping. Bryan Deister uses this mapping in Waltz in 18edo.

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This can be compressed down to a 2L 1s mapping that is useful for maximising range.

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Flat neutral thirds

5\18 produces a 4L 3s-based Jankó mapping. Bryan Deister has demonstrated this mapping in Lament in 18edo (2025).

0
3
2
5
8
11
14
1
4
7
10
13
16
1
4
3
6
9
12
15
0
3
6
9
12
15
2
5
8
11
14
17
2
5
8
11
14
17
2
5
4
7
10
13
16
1
4
7
10
13
16
1
4
7
10
13
16
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6
9
12
15
0
3
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12
15
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3
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15
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3
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14
17
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0
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9
12
15
0
3
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2
5
8
11
14
17
2
5
13
16
1
4
7
3
6


This can also be compressed down to a 3L 1s mapping that is useful if you want to keep octaves as close to horizontal as possible.

16
3
1
6
11
16
3
17
4
9
14
1
6
11
16
2
7
12
17
4
9
14
1
6
11
16
0
5
10
15
2
7
12
17
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9
14
1
6
11
3
8
13
0
5
10
15
2
7
12
17
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9
14
1
6
11
1
6
11
16
3
8
13
0
5
10
15
2
7
12
17
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9
14
1
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14
1
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11
16
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8
13
0
5
10
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17
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2
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15edo16edo17edoLumatone mapping for 18edo19edo20edo21edo