Lumatone mapping for 27edo: Difference between revisions

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{{Lumatone mapping intro}}
{{Lumatone mapping intro}}
== Diatonic ==
{{Lumatone EDO mapping|n=27|start=6|xstep=5|ystep=-4}}
{{Lumatone EDO mapping|n=27|start=6|xstep=5|ystep=-4}}


[[Gordon Wery]] has created a pseudo-diatonic mapping that flips the direction of the two semitones, which can also be interpreted as a [[terrain]] mapping. This extends the range to slightly over 6 octaves at the cost of making the diatonic scale slope heavily upward and wrap around to the bottom again repeatedly. The .ltn file for this can be downloaded [https://drive.google.com/file/d/1zNTk7FGrNo8k5zSAmOWYiK2x4CK4fjjJ/ here].
{{Lumatone EDO mapping|n=27|start=0|xstep=5|ystep=-1}}


Keep in mind that 27edo is a [[superpyth]] temperament, so 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, 9 represents 5/4 and you can find that by going over to 5 {{nowrap|(e.g. C → D)}} and then going up to 9 {{nowrap|(D → D♯)}}. If you want {{nowrap|{{dash|root, 3rd, 5th}}}} triads to be accessible in a more intuitive way, the [[7L 6s]] [[tetracot]] mapping may be preferable.
== Tetracot ==
Keep in mind that 27edo is a [[superpyth]] temperament, so the classic major third ~[[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, 9 represents 5/4 and you can find that by going over to 5 {{nowrap|(e.g. C → D)}} and then going up to 9 {{nowrap|(D → D♯)}}. If you want {{nowrap|{{dash|root, 3rd, 5th}}}} triads to be accessible in a more intuitive way, the [[6L&nbsp;1s]] mapping for [[Tetracot]] may be preferable. The range is about 4¾ octaves, which slope upwards moderately. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025); or in a radically different style, [https://www.youtube.com/shorts/sKnjDPEOQtc ''<nowiki>Flies Control My Pain - 27edo [short 1]</nowiki>''] (2026).
{{Lumatone EDO mapping|n=27|start=21|xstep=4|ystep=-1}}
{{Lumatone EDO mapping|n=27|start=21|xstep=4|ystep=-1}}


== Kumonga ==
[[Bryan Deister]] has demonstrated a [[5L&nbsp;1s]] (5:2 step ratio) [[kumonga]] mapping for [[27edo]], in [https://www.youtube.com/shorts/QEebNJkcIlE ''<nowiki>Flies Control My Pain - 27edo [short 2]</nowiki>''] (2026). The kumonga generator 5\27 is the septimal major second ~[[8/7]], which is very simple to use in this mapping, being simply one key to the right. The range is a bit over 5⅓ octaves, and the octaves slope gently upwards.
{{Lumatone EDO mapping|n=27|start=4|xstep=5|ystep=-3}}


== Neutral thirds ==
Other alternatives to this include a mapping derived from a [[Lumatone mapping for neutral thirds scales]]:
Other alternatives to this include a mapping derived from a [[Lumatone mapping for neutral thirds scales]]:
{{Lumatone EDO mapping|n=27|start=0|xstep=3|ystep=2}}
{{Lumatone EDO mapping|n=27|start=0|xstep=3|ystep=2}}
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{{Lumatone EDO mapping|n=27|start=0|xstep=5|ystep=-2}}
{{Lumatone EDO mapping|n=27|start=0|xstep=5|ystep=-2}}


 
== [[Sensi]] ==
Or the [[Lumatone mapping for sensi]]:
Or the [[Lumatone mapping for sensi]]:
{{Lumatone EDO mapping|n=27|start=1|xstep=7|ystep=-4}}
{{Lumatone EDO mapping|n=27|start=1|xstep=7|ystep=-4}}


== Myna ==
If you want to maximise your range, the [[myna]] one is the widest one that still covers the whole gamut with nearly level octaves, spanning 8 octaves using the [[3L&nbsp;1s]] mos scale.
{{Lumatone EDO mapping|n=27|start=12|xstep=7|ystep=-1}}


If you want to maximise your range, the [[myna]] one is the widest one that still covers the whole gamut, spanning 8 octaves in its most compressed MOS. Though, the [[4L&nbsp;3s]] MOS has a 6:1 step ratio, making it quite awkward.
== Augene ==
{{Lumatone EDO mapping|n=27|start=12|xstep=7|ystep=-1}}
[[Bryan Deister]] has demonstrated an [[Augene]] [[3L&nbsp;3s]] (7:2 step ratio) mapping for [[27edo]], in [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025). The demo video takes the ⅓-octave period very literally, assigning the same color to all notes of a given position within the ⅓-octave, which are all in the same row (which thereby constrains the octaves to slope upwards with the rows). The generator can be taken as 2\27 (down-right), functioning as a sharp large undevicesimal semitone ~[[19/18]] tempered together with several other intervals, including a very flat classic diatonic semitone ~[[16/15]]); or as 7\27 (up, functioning as a highly sharp but still consistent otonal minor third ~[[19/16]] tempered together with a slightly flat classic minor third ~[[6/5]]). Some repeated notes are present to help mitigate vertical wraparounds (needed since the octaves slope up as noted above). Depending upon positioning of the root note, the range can be taken (as shown here) to be eight octaves of which all but the bass and treble octaves have all notes represented, while the bass octave is missing its note 4 and the trebel octave is missing its note 25 and the note 0 that begins the next octave; or as slightly over nine octaves of which the bass octave misses many notes but the rest have all notes represented at least once. Note that the range in the video appears considerably less due to mapping only one MIDI channel.
{{Lumatone EDO mapping|n=27|start=11|xstep=9|ystep=-7}}


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

Latest revision as of 11:07, 18 January 2026

There are many conceivable ways to map 27edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

6
11
7
12
17
22
0
3
8
13
18
23
1
6
11
4
9
14
19
24
2
7
12
17
22
0
0
5
10
15
20
25
3
8
13
18
23
1
6
11
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
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22
0
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
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8
13
18
23
1
6
11
0
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21
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9
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24
2
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17
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0
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18
23
1
0
5
10
15
20
25
3
8
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1
6
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16
21
26
4
9
14
19
24
2
11
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21
26
4
9
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2
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17
22
0
5
10
15
20
25
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
11
16
21
26
4
9
14
19
0
5
10
15
20
11
16

Gordon Wery has created a pseudo-diatonic mapping that flips the direction of the two semitones, which can also be interpreted as a terrain mapping. This extends the range to slightly over 6 octaves at the cost of making the diatonic scale slope heavily upward and wrap around to the bottom again repeatedly. The .ltn file for this can be downloaded here.

0
5
4
9
14
19
24
3
8
13
18
23
1
6
11
7
12
17
22
0
5
10
15
20
25
3
6
11
16
21
26
4
9
14
19
24
2
7
12
17
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
20
25
3
8
13
18
23
1
6
11
16
21
26
4
12
17
22
0
5
10
15
20
25
3
8
26
4
9
14
19
24
2
7
18
23
1
6
11
5
10

Tetracot

Keep in mind that 27edo is a superpyth temperament, so the classic major third ~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, 9 represents 5/4 and you can find that by going over to 5 (e.g. C → D) and then going up to 9 (D → D♯). If you want root – 3rd – 5th triads to be accessible in a more intuitive way, the 6L 1s mapping for Tetracot may be preferable. The range is about 4¾ octaves, which slope upwards moderately. Bryan Deister has demonstrated this mapping in 27edo waltz (2025); or in a radically different style, Flies Control My Pain - 27edo [short 1] (2026).

21
25
24
1
5
9
13
23
0
4
8
12
16
20
24
26
3
7
11
15
19
23
0
4
8
12
25
2
6
10
14
18
22
26
3
7
11
15
19
23
1
5
9
13
17
21
25
2
6
10
14
18
22
26
3
7
11
0
4
8
12
16
20
24
1
5
9
13
17
21
25
2
6
10
14
18
22
3
7
11
15
19
23
0
4
8
12
16
20
24
1
5
9
13
17
21
25
2
6
10
2
6
10
14
18
22
26
3
7
11
15
19
23
0
4
8
12
16
20
24
1
5
9
13
17
21
9
13
17
21
25
2
6
10
14
18
22
26
3
7
11
15
19
23
0
4
8
12
16
20
24
1
5
9
20
24
1
5
9
13
17
21
25
2
6
10
14
18
22
26
3
7
11
15
19
23
0
4
8
12
8
12
16
20
24
1
5
9
13
17
21
25
2
6
10
14
18
22
26
3
7
11
15
19
23
0
4
8
12
16
20
24
1
5
9
13
17
21
25
2
6
10
14
7
11
15
19
23
0
4
8
12
16
20
24
1
5
9
13
17
18
22
26
3
7
11
15
19
23
0
4
8
12
16
6
10
14
18
22
26
3
7
11
15
19
17
21
25
2
6
10
14
18
5
9
13
17
21
16
20

Kumonga

Bryan Deister has demonstrated a 5L 1s (5:2 step ratio) kumonga mapping for 27edo, in Flies Control My Pain - 27edo [short 2] (2026). The kumonga generator 5\27 is the septimal major second ~8/7, which is very simple to use in this mapping, being simply one key to the right. The range is a bit over 5⅓ octaves, and the octaves slope gently upwards.

4
9
6
11
16
21
26
3
8
13
18
23
1
6
11
5
10
15
20
25
3
8
13
18
23
1
2
7
12
17
22
0
5
10
15
20
25
3
8
13
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
23
1
6
11
16
21
26
4
9
14
19
24
2
7
13
18
23
1
6
11
16
21
26
4
9
25
3
8
13
18
23
1
6
15
20
25
3
8
0
5

Neutral thirds

Other alternatives to this include a mapping derived from a Lumatone mapping for neutral thirds scales:

0
3
5
8
11
14
17
7
10
13
16
19
22
25
1
12
15
18
21
24
0
3
6
9
12
15
14
17
20
23
26
2
5
8
11
14
17
20
23
26
19
22
25
1
4
7
10
13
16
19
22
25
1
4
7
10
13
21
24
0
3
6
9
12
15
18
21
24
0
3
6
9
12
15
18
21
24
26
2
5
8
11
14
17
20
23
26
2
5
8
11
14
17
20
23
26
2
5
8
11
1
4
7
10
13
16
19
22
25
1
4
7
10
13
16
19
22
25
1
4
7
10
13
16
19
22
9
12
15
18
21
24
0
3
6
9
12
15
18
21
24
0
3
6
9
12
15
18
21
24
0
3
6
9
20
23
26
2
5
8
11
14
17
20
23
26
2
5
8
11
14
17
20
23
26
2
5
8
11
14
7
10
13
16
19
22
25
1
4
7
10
13
16
19
22
25
1
4
7
10
13
16
19
18
21
24
0
3
6
9
12
15
18
21
24
0
3
6
9
12
15
18
21
5
8
11
14
17
20
23
26
2
5
8
11
14
17
20
23
26
16
19
22
25
1
4
7
10
13
16
19
22
25
1
3
6
9
12
15
18
21
24
0
3
6
14
17
20
23
26
2
5
8
1
4
7
10
13
12
15


Or this rotated version of the above, which resembles the Lumatone mapping for 24edo in the official manual:

0
5
3
8
13
18
23
1
6
11
16
21
26
4
9
4
9
14
19
24
2
7
12
17
22
0
2
7
12
17
22
0
5
10
15
20
25
3
8
13
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
14
19
6
11
16
21
26
4
9
14
19
24
2
7
12
17
24
2
7
12
17
22
0
5
10
15
20
10
15
20
25
3
8
13
18
1
6
11
16
21
14
19

Sensi

Or the Lumatone mapping for sensi:

1
8
4
11
18
25
5
0
7
14
21
1
8
15
22
3
10
17
24
4
11
18
25
5
12
19
26
6
13
20
0
7
14
21
1
8
15
22
2
9
2
9
16
23
3
10
17
24
4
11
18
25
5
12
19
26
6
25
5
12
19
26
6
13
20
0
7
14
21
1
8
15
22
2
9
16
23
1
8
15
22
2
9
16
23
3
10
17
24
4
11
18
25
5
12
19
26
6
13
20
24
4
11
18
25
5
12
19
26
6
13
20
0
7
14
21
1
8
15
22
2
9
16
23
3
10
7
14
21
1
8
15
22
2
9
16
23
3
10
17
24
4
11
18
25
5
12
19
26
6
13
20
0
7
24
4
11
18
25
5
12
19
26
6
13
20
0
7
14
21
1
8
15
22
2
9
16
23
3
10
21
1
8
15
22
2
9
16
23
3
10
17
24
4
11
18
25
5
12
19
26
6
13
11
18
25
5
12
19
26
6
13
20
0
7
14
21
1
8
15
22
2
9
8
15
22
2
9
16
23
3
10
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4
11
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5
12
25
5
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6
13
20
0
7
14
21
1
8
22
2
9
16
23
3
10
17
24
4
11
12
19
26
6
13
20
0
7
9
16
23
3
10
26
6

Myna

If you want to maximise your range, the myna one is the widest one that still covers the whole gamut with nearly level octaves, spanning 8 octaves using the 3L 1s mos scale.

12
19
18
25
5
12
19
17
24
4
11
18
25
5
12
23
3
10
17
24
4
11
18
25
5
12
22
2
9
16
23
3
10
17
24
4
11
18
25
5
1
8
15
22
2
9
16
23
3
10
17
24
4
11
18
25
5
0
7
14
21
1
8
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23
3
10
17
24
4
11
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25
6
13
20
0
7
14
21
1
8
15
22
2
9
16
23
3
10
17
24
4
11
18
25
5
12
19
26
6
13
20
0
7
14
21
1
8
15
22
2
9
16
23
3
10
17
24
4
11
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18
25
5
12
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26
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13
20
0
7
14
21
1
8
15
22
2
9
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10
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24
4
11
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18
25
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26
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13
20
0
7
14
21
1
8
15
22
2
9
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23
3
10
17
24
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18
25
5
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26
6
13
20
0
7
14
21
1
8
15
22
2
9
16
23
3
4
11
18
25
5
12
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26
6
13
20
0
7
14
21
1
8
15
22
2
4
11
18
25
5
12
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26
6
13
20
0
7
14
21
1
8
24
4
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25
5
12
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26
6
13
20
0
7
24
4
11
18
25
5
12
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26
6
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17
24
4
11
18
25
5
12
17
24
4
11
18
10
17

Augene

Bryan Deister has demonstrated an Augene 3L 3s (7:2 step ratio) mapping for 27edo, in 27edo improv (2025). The demo video takes the ⅓-octave period very literally, assigning the same color to all notes of a given position within the ⅓-octave, which are all in the same row (which thereby constrains the octaves to slope upwards with the rows). The generator can be taken as 2\27 (down-right), functioning as a sharp large undevicesimal semitone ~19/18 tempered together with several other intervals, including a very flat classic diatonic semitone ~16/15); or as 7\27 (up, functioning as a highly sharp but still consistent otonal minor third ~19/16 tempered together with a slightly flat classic minor third ~6/5). Some repeated notes are present to help mitigate vertical wraparounds (needed since the octaves slope up as noted above). Depending upon positioning of the root note, the range can be taken (as shown here) to be eight octaves of which all but the bass and treble octaves have all notes represented, while the bass octave is missing its note 4 and the trebel octave is missing its note 25 and the note 0 that begins the next octave; or as slightly over nine octaves of which the bass octave misses many notes but the rest have all notes represented at least once. Note that the range in the video appears considerably less due to mapping only one MIDI channel.

11
20
13
22
4
13
22
6
15
24
6
15
24
6
15
8
17
26
8
17
26
8
17
26
8
17
1
10
19
1
10
19
1
10
19
1
10
19
1
10
3
12
21
3
12
21
3
12
21
3
12
21
3
12
21
3
12
23
5
14
23
5
14
23
5
14
23
5
14
23
5
14
23
5
14
23
5
25
7
16
25
7
16
25
7
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25
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25
7
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25
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25
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25
7
18
0
9
18
0
9
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0
9
18
0
9
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0
9
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0
9
18
0
9
18
0
9
18
0
2
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20
2
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2
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2
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2
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2
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2
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24
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6
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24
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8
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19
1
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19
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10
19
1
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19
1
10
19
1
12
21
3
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3
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3
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14
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5
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5
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23
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16
25
7
16
25
7
16
9
18
0
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18
2
11
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