Lumatone mapping for 32edo: Difference between revisions

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There are many conceivable ways to map [[32edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
{{Lumatone mapping intro}}


== Diatonic ==
{{Lumatone EDO mapping|n=32|start=8|xstep=6|ystep=-5}}
{{Lumatone EDO mapping|n=32|start=8|xstep=6|ystep=-5}}


== Pseudo-Isomorphic Pseudo-Diatonic ==
A pseudo-isomorphic pseudo-diatonic mapping for [[32edo]] that duplicates note 0 as note 32 in a mapping taken from [[33edo]] yields an alternate approach to diatonic playing, as demonstrated in [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025).
{{Lumatone EDO mapping|n=33|start=27|xstep=5|ystep=-1}}


Note that since 32edo is a [[ultrapyth]] temperament, the best approximation to [[5/4]] is a double augmented unison, which makes for awkward fingerings. The [[sixix]] mapping makes the 5-limit as easily accessible as possible while also maximising the range.
== Sixix ==
Note that since 32edo is a [[ultrapyth]] temperament, the best approximation to [[5/4]] is a doubly-augmented unison, which makes for awkward fingerings. The [[sixix]] mapping makes the 5-limit as easily accessible as possible.
 
=== Compressed ===
The compressed mapping maximizes the range at 8½ octaves (which slope upwards slightly) with no missed notes and no repeated notes.
{{Lumatone EDO mapping|n=32|start=30|xstep=9|ystep=-4}}
{{Lumatone EDO mapping|n=32|start=30|xstep=9|ystep=-4}}
=== Expanded ===
Although the compressed [[Sixix]] mapping for [[32edo]] is the most efficient in terms of getting range without missing notes and has only a gentle octave slope, the lack of vertical repeats may cause trouble at vertical wraparounds, and some fingerings are still awkward. [[Bryan Deister]] has demonstrated a [[4L&nbsp;3s]] mapping (with a 5:4 step ratio) that is more relaxed, in ''Licorice Hearted - 32edo'' (2026) ([https://www.youtube.com/shorts/zFgw-AfGEcQ <nowiki>[short 1]</nowiki>]; [https://www.youtube.com/shorts/ocgMIf4xopo <nowiki>[short 2]</nowiki>]), although with different placement of the first MIDI note 0. Both the flat (best) and sharp (second-best) approximations of the classic major third ~[[5/4]] are easily accessible (although the flat approximation is slightly easier), as is the (sharp) fifth ~[[3/2]]. The contiguous range is just under 5¼ octaves, with a moderate downwards slope.
{{Lumatone EDO mapping|n=32|start=29|xstep=5|ystep=-1}}
== Amity ==
[[Bryan Deister]] has used a [[6L&nbsp;1s]] (with a 5:2 step ratio) [[Amity]] mapping for [[32edo]], in [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025). The Amity generator acute minor third 9\32 is too sharp to map as ~[[6/5]] and instead is mapped as a flat neutral third ~[[11/9]]. Both the flat (best) and sharp (second-best) approximations of the classic major third ~[[5/4]] are easily accessible (although the sharp approximation is a bit easier), as is the (sharp) fifth ~[[3/2]] (which is, however, oddly more in line with the flat major third, whereas Amity temperament for 32edo specifies the sharp major third, in the 32c [[val]]). The range is just over 4½ octaves, with a mild upwards slope.
{{Lumatone EDO mapping|n=32|start=4|xstep=5|ystep=-3}}


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

Latest revision as of 07:36, 20 January 2026

There are many conceivable ways to map 32edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

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31
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23
12
18

Pseudo-Isomorphic Pseudo-Diatonic

A pseudo-isomorphic pseudo-diatonic mapping for 32edo that duplicates note 0 as note 32 in a mapping taken from 33edo yields an alternate approach to diatonic playing, as demonstrated in 32edo improv (2025).

27
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1

Sixix

Note that since 32edo is a ultrapyth temperament, the best approximation to 5/4 is a doubly-augmented unison, which makes for awkward fingerings. The sixix mapping makes the 5-limit as easily accessible as possible.

Compressed

The compressed mapping maximizes the range at 8½ octaves (which slope upwards slightly) with no missed notes and no repeated notes.

30
7
3
12
21
30
7
31
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17
26
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12
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3
12

Expanded

Although the compressed Sixix mapping for 32edo is the most efficient in terms of getting range without missing notes and has only a gentle octave slope, the lack of vertical repeats may cause trouble at vertical wraparounds, and some fingerings are still awkward. Bryan Deister has demonstrated a 4L 3s mapping (with a 5:4 step ratio) that is more relaxed, in Licorice Hearted - 32edo (2026) ([short 1]; [short 2]), although with different placement of the first MIDI note 0. Both the flat (best) and sharp (second-best) approximations of the classic major third ~5/4 are easily accessible (although the flat approximation is slightly easier), as is the (sharp) fifth ~3/2. The contiguous range is just under 5¼ octaves, with a moderate downwards slope.

29
2
1
6
11
16
21
0
5
10
15
20
25
30
3
4
9
14
19
24
29
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22
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8
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23
28
1
6
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26
31
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22
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0
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25
30
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23
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31
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9
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27
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5
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25
30
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8
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1
1
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31
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2
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2
7
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1
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0
5
10
4
9

Amity

Bryan Deister has used a 6L 1s (with a 5:2 step ratio) Amity mapping for 32edo, in Lost Woods - Legend of Zelda (microtonal cover in 32edo) (2025). The Amity generator acute minor third 9\32 is too sharp to map as ~6/5 and instead is mapped as a flat neutral third ~11/9. Both the flat (best) and sharp (second-best) approximations of the classic major third ~5/4 are easily accessible (although the sharp approximation is a bit easier), as is the (sharp) fifth ~3/2 (which is, however, oddly more in line with the flat major third, whereas Amity temperament for 32edo specifies the sharp major third, in the 32c val). The range is just over 4½ octaves, with a mild upwards slope.

4
9
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11
16
21
26
3
8
13
18
23
28
1
6
5
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25
30
3
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23
2
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0
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30
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