Lumatone mapping for 19edo: Difference between revisions

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== Clyde + Sensei + Negri ==
== Clyde + Sensei + Negri ==
[[19edo]] notably does not have a neutral third, and thus no neutral thirds mapping. The closest thing to a neutral thirds mapping is [[Bryan Deister]]'s mappings that support temperaments [[Clyde]] (a [[Hanson]] sub-temperament) using 5\19 as its generator that functions as a near-just classic minor third ~[[6/5]]; [[Negri]] using a minor second 2\19 that functions as flat ~[[13/12]], near-just ~[[14/13]], moderately sharp ~[[15/14]], and (key for Negri) sharp ~[[16/15]] (the classical diatonic semitone); and [[Sensei]] (a sub-temperament of [[Sensi]]) using 7\19 (a supermajor third)  as a generatorthat functions as moderately sharp ~[[9/7]] (key for Sensi), flat ~[[13/10]], very flat ~[[21/16]], and very sharp ~[[32/25]].


19edo notably does not have a neutral third, and thus no neutral thirds mapping. The closest thing to a neutral thirds mapping is [[Bryan Deister]]'s mapping that supports both a [[9L 1s]] scale, as in [[Negri]] temperament, and an [[8L 3s]] scale, as in [[Clyde]] and [[Sensei]] temperaments, in both cases with a 2:1 step ratio, in [https://www.youtube.com/shorts/mJq3-_n4RT8 ''19edo improv''] (2025). The Negri generator 2\19 (a minor second) is very simple in key movements, being one step right from the root note; this functions as flat ~[[13/12]], near-just ~[[14/13]], moderately sharp ~[[15/14]], and (key for Negri) sharp ~[[16/15]] (the classical diatonic semitone). The generator for Clyde (a [[Hanson]] sub-temperament) is 5\19 (a near-just classic minor third ~[[6/5]]); reaching it requires movement two keys right from the root note plus one key up or (preferably) down-right. The generator for Sensei (a sub-temperament of [[Sensi]] is 7\19 (a supermajor third) that functions as moderately sharp ~[[9/7]] (key for Sensi), flat ~[[13/10]], very flat ~[[21/16]], and very sharp ~[[32/25]]; reaching it requires movement three keys right from the root note plus one key up or (preferably) down-right. The range is just over three octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of Negri, this mapping enables division into three complete middle manuals plus a nearly complete bottom manual plus a partial top manual (and other permutations could be enabled by moving the root note and/or the divisions between manuals).
=== Forward chroma (expanded) ===
In the forward chroma version, demonstrated in [https://www.youtube.com/shorts/mJq3-_n4RT8 ''19edo improv''] (2025), the Clyde generator 5\19 requires movement two keys right from the root note plus one key up or (preferably) down-right; the Negri generator 2\19 is very simple in key movements, being one step right from the root note; and the 7\19 generator for Sensei requires movement three keys right from the root note plus one key up or (preferably) down-right. Supported scales are [[8L 3s]] for Clyde and Sensei and [[9L 1s]] for Negri, both having a 2:1 step ratio. The range is just over three octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of Negri, this mapping enables division into three complete middle manuals plus a nearly complete bottom manual plus a partial top manual (and other permutations could be enabled by moving the root note and/or the divisions between manuals).
{{Lumatone EDO mapping|n=19|start=0|xstep=2|ystep=-1}}
{{Lumatone EDO mapping|n=19|start=0|xstep=2|ystep=-1}}
=== Reverse chroma ===
In the reverse chroma version, demonstrated in Bryan Deister's [https://www.youtube.com/shorts/Rwn6cAGUfR0 ''19edo groove''] (2026), the chroma is the [[meantone]] major second (flat ~[[9/8]], sharp ~[[10/9]]); the Clyde generator 5\19 is now very simple at one key down-right; the Negri generator 2\19 is also very simple at one key right; and the Sensi super-major third generator 7\19 is also simple at one key right plus one key down-right. This mapping supports a [[3L 2s]] scale (moving down and right and octaves sloping down accordingly) and a [[1L 7s]] scale (moving right and octaves sloping gently upwards just slightly less than the rows), both having a 5:2 step ratio; if a bit of backtracking is acceptable, the latter scale can be extended to [[1L 8s]] (3:1 step ratio) or even [[9L 1s]] (2:1 step ratio). This tends to favor a very xenharmonic type of playing; however, the number of repeated notes is enough so that if a meantone pentatonic scale ([[2L 3s]], 5:3 step ratio) is needed, it is available proceeding downwards and slightly right, with somewhat less chance of a vertical wraparound than with the forward chroma version. The range is just over six octaves, which for some purposes more than makes up for the strange reverse chroma layout and the lack of options for multiple manuals.
{{Lumatone EDO mapping|n=19|start=11|xstep=2|ystep=3}}


== Sensi ==
== Sensi ==
If you just want Sensi with extended range instead of the potential for multiple manuals, the [[Lumatone mapping for sensi]] is also another option, putting the notes of minor and major chords extremely close to each other, while yielding a range of over seven octaves, although with a downwards slope.
If you just want Sensi with extended range instead of the potential for multiple manuals, the [[Lumatone mapping for sensi]] (which makes the generator 7\19 into a motion right by one key plus a motion down-right by one key) is another option, putting the notes of minor and major chords extremely close to each other, while yielding a range of over seven octaves, although with a downwards slope. Conveniently, the standard major second acts as the forward chroma, making a meantone pentatonic scale available moving up and right, thus making use of the repeated notes (although a vertical wraparound is more likely to be necessary than in the reverse-chroma Clyde + Sensei + Negri mapping above).
{{Lumatone EDO mapping|n=19|start=2|xstep=5|ystep=-3}}
{{Lumatone EDO mapping|n=19|start=2|xstep=5|ystep=-3}}


== Hanson ==
== Hanson ==
If you just want mapping by a chain of minor thirds with extended range instead of the potential for multiple manuals, the [[3L&nbsp;1s]] [[Hanson]] mapping is a good option if you want to extend your range while making well-tuned chords easy to play. This mapping works especially well since 19edo can be conceptualised as a chain of essentially pure [[6/5]]<nowiki />s. The range is a bit over 8½ octaves, and the octaves slope upwards very gently.
If you just want mapping by a chain of minor thirds with extended range instead of the potential for multiple manuals, the [[3L&nbsp;1s]] [[Hanson]] mapping is a good option if you want to extend your range while making well-tuned chords easy to play. This mapping works especially well since 19edo can be conceptualised as a chain of essentially pure classic minor thirds ~[[6/5]]. The range is a bit over 8½ octaves (although still having a significant allotment of repeated notes), and the octaves slope upwards very gently.
{{Lumatone EDO mapping|n=19|start=13|xstep=5|ystep=-1}}
{{Lumatone EDO mapping|n=19|start=13|xstep=5|ystep=-1}}


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== Magic ==
== Magic ==
=== Forward chroma ===
The [[Magic]] mapping has an even wider range and makes 5-limit chords just as easy to play, but the [[3L&nbsp;1s]] scale is somewhat lopsided with its 6:1 step ratio and higher limit intervals require more awkward finger stretches; the range is over eight octaves (with a very gentle upwards slope).
The [[Magic]] mapping has an even wider range and makes 5-limit chords just as easy to play, but the [[3L&nbsp;1s]] scale is somewhat lopsided with its 6:1 step ratio and higher limit intervals require more awkward finger stretches; the range is over eight octaves (with a very gentle upwards slope).
{{Lumatone EDO mapping|n=19|start=8|xstep=6|ystep=-5}}
{{Lumatone EDO mapping|n=19|start=8|xstep=6|ystep=-5}}


 
=== Reverse chroma (compressed) ===
The [[1L&nbsp;2s]] layout is even more efficient in terms of range, but the chroma goes downwards; the range is over eleven octaves (with a very gentle downwards slope), making it tempting to divide the keyboard into multiple zones horizontally.
The [[1L&nbsp;2s]] layout is even more efficient in terms of range, but the chroma goes downwards; the range is over eleven octaves (with a very gentle downwards slope), making it tempting to divide the keyboard into multiple zones horizontally.
{{Lumatone EDO mapping|n=19|start=3|xstep=6|ystep=1}}
{{Lumatone EDO mapping|n=19|start=3|xstep=6|ystep=1}}


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

Latest revision as of 06:13, 2 September 2026

There are many conceivable ways to map 19edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

This is "Preset 4 — 19-ET Bosanquet" in version 1.0 of the official manual, and "Preset 5 — 19-EDO Bosanquet" in version 1.21.

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Clyde + Sensei + Negri

19edo notably does not have a neutral third, and thus no neutral thirds mapping. The closest thing to a neutral thirds mapping is Bryan Deister's mappings that support temperaments Clyde (a Hanson sub-temperament) using 5\19 as its generator that functions as a near-just classic minor third ~6/5; Negri using a minor second 2\19 that functions as flat ~13/12, near-just ~14/13, moderately sharp ~15/14, and (key for Negri) sharp ~16/15 (the classical diatonic semitone); and Sensei (a sub-temperament of Sensi) using 7\19 (a supermajor third) as a generatorthat functions as moderately sharp ~9/7 (key for Sensi), flat ~13/10, very flat ~21/16, and very sharp ~32/25.

Forward chroma (expanded)

In the forward chroma version, demonstrated in 19edo improv (2025), the Clyde generator 5\19 requires movement two keys right from the root note plus one key up or (preferably) down-right; the Negri generator 2\19 is very simple in key movements, being one step right from the root note; and the 7\19 generator for Sensei requires movement three keys right from the root note plus one key up or (preferably) down-right. Supported scales are 8L 3s for Clyde and Sensei and 9L 1s for Negri, both having a 2:1 step ratio. The range is just over three octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of Negri, this mapping enables division into three complete middle manuals plus a nearly complete bottom manual plus a partial top manual (and other permutations could be enabled by moving the root note and/or the divisions between manuals).

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In the reverse chroma version, demonstrated in Bryan Deister's 19edo groove (2026), the chroma is the meantone major second (flat ~9/8, sharp ~10/9); the Clyde generator 5\19 is now very simple at one key down-right; the Negri generator 2\19 is also very simple at one key right; and the Sensi super-major third generator 7\19 is also simple at one key right plus one key down-right. This mapping supports a 3L 2s scale (moving down and right and octaves sloping down accordingly) and a 1L 7s scale (moving right and octaves sloping gently upwards just slightly less than the rows), both having a 5:2 step ratio; if a bit of backtracking is acceptable, the latter scale can be extended to 1L 8s (3:1 step ratio) or even 9L 1s (2:1 step ratio). This tends to favor a very xenharmonic type of playing; however, the number of repeated notes is enough so that if a meantone pentatonic scale (2L 3s, 5:3 step ratio) is needed, it is available proceeding downwards and slightly right, with somewhat less chance of a vertical wraparound than with the forward chroma version. The range is just over six octaves, which for some purposes more than makes up for the strange reverse chroma layout and the lack of options for multiple manuals.

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Sensi

If you just want Sensi with extended range instead of the potential for multiple manuals, the Lumatone mapping for sensi (which makes the generator 7\19 into a motion right by one key plus a motion down-right by one key) is another option, putting the notes of minor and major chords extremely close to each other, while yielding a range of over seven octaves, although with a downwards slope. Conveniently, the standard major second acts as the forward chroma, making a meantone pentatonic scale available moving up and right, thus making use of the repeated notes (although a vertical wraparound is more likely to be necessary than in the reverse-chroma Clyde + Sensei + Negri mapping above).

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Hanson

If you just want mapping by a chain of minor thirds with extended range instead of the potential for multiple manuals, the 3L 1s Hanson mapping is a good option if you want to extend your range while making well-tuned chords easy to play. This mapping works especially well since 19edo can be conceptualised as a chain of essentially pure classic minor thirds ~6/5. The range is a bit over 8½ octaves (although still having a significant allotment of repeated notes), and the octaves slope upwards very gently.

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Semiquartal

The 4L 1s mapping is also an excellent option, which also extends the range over the standard layout and makes the diatonic scale easier to play than on the Hanson layout, although at the cost of reducing the range to somewhat over 6½ octaves (again with a gentle upwards slope).

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

Magic

Forward chroma

The Magic mapping has an even wider range and makes 5-limit chords just as easy to play, but the 3L 1s scale is somewhat lopsided with its 6:1 step ratio and higher limit intervals require more awkward finger stretches; the range is over eight octaves (with a very gentle upwards slope).

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

Reverse chroma (compressed)

The 1L 2s layout is even more efficient in terms of range, but the chroma goes downwards; the range is over eleven octaves (with a very gentle downwards slope), making it tempting to divide the keyboard into multiple zones horizontally.

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