Lumatone mapping for 26edo

From Xenharmonic Wiki
Revision as of 08:32, 29 August 2025 by Lucius Chiaraviglio (talk | contribs) (Lemba: Add demo video and Bryan Deister's explanationusage)
Jump to navigation Jump to search

There are many conceivable ways to map 26edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

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

Orgone

However, 26edo is a flattone system that does not have very accurate 5-limit approximations, so other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the orgone mapping is the clear winner.

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

Other mappings

The Lemba and Hendec mappings also work particularly well in 26edo.

Lemba

Bryan Deister has demonstrated this mapping in Waltz in 26edo (2025), and explains that right and up yields the minor third (~6/5, fairly sharp) and right three times yields the fifth (~3/2, fairly flat).

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

Hendec

20
24
25
3
7
11
15
0
4
8
12
16
20
24
2
5
9
13
17
21
25
3
7
11
15
19
6
10
14
18
22
0
4
8
12
16
20
24
2
6
11
15
19
23
1
5
9
13
17
21
25
3
7
11
15
19
23
12
16
20
24
2
6
10
14
18
22
0
4
8
12
16
20
24
2
6
10
17
21
25
3
7
11
15
19
23
1
5
9
13
17
21
25
3
7
11
15
19
23
1
18
22
0
4
8
12
16
20
24
2
6
10
14
18
22
0
4
8
12
16
20
24
2
6
10
14
1
5
9
13
17
21
25
3
7
11
15
19
23
1
5
9
13
17
21
25
3
7
11
15
19
23
1
5
14
18
22
0
4
8
12
16
20
24
2
6
10
14
18
22
0
4
8
12
16
20
24
2
6
10
5
9
13
17
21
25
3
7
11
15
19
23
1
5
9
13
17
21
25
3
7
11
15
18
22
0
4
8
12
16
20
24
2
6
10
14
18
22
0
4
8
12
16
9
13
17
21
25
3
7
11
15
19
23
1
5
9
13
17
21
22
0
4
8
12
16
20
24
2
6
10
14
18
22
13
17
21
25
3
7
11
15
19
23
1
0
4
8
12
16
20
24
2
17
21
25
3
7
4
8
ViewTalkEdit Lumatone mappings 
← 23edo • 24edo • 25edo • Lumatone mapping for 26edo • 27edo • 28edo • 29edo →