Lumatone mapping for 27edo

From Xenharmonic Wiki
Jump to navigation Jump to search

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

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
17
24
4
11
18
25
5
12
25
5
12
19
26
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, spanning 8 octaves in its most compressed MOS. Though, the 4L 3s MOS has a 6:1 step ratio, making it quite awkward.

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


View • Talk • EditLumatone mappings 
← 24edo • 25edo • 26edo • Lumatone mapping for 27edo • 28edo • 29edo • 30edo →
Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_27edo&oldid=188188"