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}} | ||
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 == | ||
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]] mapping for [[Tetracot]] may be preferable. | |||
{{Lumatone EDO mapping|n=27|start=21|xstep=4|ystep=-1}} | {{Lumatone EDO mapping|n=27|start=21|xstep=4|ystep=-1}} | ||
== 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}} | ||
| Line 15: | Line 18: | ||
== [[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, spanning 8 octaves in its most compressed MOS. Though, the [[4L 3s]] MOS has a 6:1 step ratio, making it quite awkward. | 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 3s]] MOS has a 6:1 step ratio, making it quite awkward. | ||
{{Lumatone EDO mapping|n=27|start=12|xstep=7|ystep=-1}} | {{Lumatone EDO mapping|n=27|start=12|xstep=7|ystep=-1}} | ||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||
Revision as of 14:25, 23 March 2025
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
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17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
25
3
8
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18
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1
6
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16
21
26
4
9
14
19
24
2
7
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22
0
21
26
4
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19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
13
18
23
1
6
11
0
5
10
15
20
25
3
8
13
18
23
1
6
11
16
21
26
4
9
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19
24
2
7
12
17
22
0
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
10
15
20
25
3
8
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18
23
1
0
5
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20
25
3
8
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18
23
1
6
11
16
21
26
4
9
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19
24
2
11
16
21
26
4
9
14
19
24
2
7
12
17
22
0
5
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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
Tetracot
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 (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 7L 6s mapping for Tetracot may be preferable.
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
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12
16
20
24
1
5
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21
25
2
6
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18
22
3
7
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15
19
23
0
4
8
12
16
20
24
1
5
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17
21
25
2
6
10
2
6
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18
22
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3
7
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19
23
0
4
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20
24
1
5
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2
6
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18
22
26
3
7
11
15
19
23
0
4
8
12
16
20
24
1
5
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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
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13
17
21
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2
6
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18
22
26
3
7
11
15
19
23
0
4
8
12
16
20
24
1
5
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17
21
25
2
6
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14
7
11
15
19
23
0
4
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20
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1
5
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22
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3
7
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19
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0
4
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3
7
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19
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21
25
2
6
10
14
18
5
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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
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24
0
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5
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19
22
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1
4
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22
25
1
4
7
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21
24
0
3
6
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21
24
0
3
6
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15
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26
2
5
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23
26
2
5
8
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17
20
23
26
2
5
8
11
1
4
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22
25
1
4
7
10
13
16
19
22
25
1
4
7
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19
22
9
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15
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21
24
0
3
6
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18
21
24
0
3
6
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18
21
24
0
3
6
9
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23
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5
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2
5
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2
5
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7
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4
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1
4
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16
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24
0
3
6
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12
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21
24
0
3
6
9
12
15
18
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5
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17
20
23
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2
5
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14
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20
23
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1
4
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0
3
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2
5
8
1
4
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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
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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
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18
23
1
6
11
16
20
25
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1
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4
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19
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2
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12
17
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0
5
10
15
20
10
15
20
25
3
8
13
18
1
6
11
16
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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
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5
12
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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
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6
13
20
0
7
14
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1
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15
22
2
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16
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1
8
15
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2
9
16
23
3
10
17
24
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11
18
25
5
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26
6
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20
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4
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5
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6
13
20
0
7
14
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1
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15
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2
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3
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14
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1
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22
2
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3
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17
24
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5
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26
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20
0
7
24
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18
25
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13
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0
7
14
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1
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10
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2
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0
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1
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2
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26
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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, spanning 8 octaves in its most compressed MOS. Though, the 4L 3s MOS has a 6:1 step ratio, making it quite awkward.
12
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18
25
5
12
19
17
24
4
11
18
25
5
12
23
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10
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25
5
12
22
2
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16
23
3
10
17
24
4
11
18
25
5
1
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15
22
2
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16
23
3
10
17
24
4
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18
25
5
0
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21
1
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3
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4
11
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13
20
0
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2
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0
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2
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13
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0
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1
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2
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3
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11
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0
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26
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13
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0
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2
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3
4
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25
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26
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0
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1
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2
4
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13
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0
7
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1
8
24
4
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18
25
5
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26
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13
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0
7
24
4
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18
25
5
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26
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24
4
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25
5
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4
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10
17