Lumatone mapping for 15edo

From Xenharmonic Wiki
Revision as of 12:23, 26 March 2025 by Yourmusic Productions (talk | contribs) (Add a bit more explanation.)
Jump to navigation Jump to search

There are many conceivable ways to map 15edo onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Ways to organise its intervals that make it easy to find consonant chords, in order of increasing compression are:

Porcupine

0
2
3
5
7
9
11
4
6
8
10
12
14
1
3
7
9
11
13
0
2
4
6
8
10
12
8
10
12
14
1
3
5
7
9
11
13
0
2
4
11
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
12
14
1
3
5
7
9
11
13
0
2
4
6
8
10
12
14
1
3
5
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
6
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
8
10
12
14
1
3
7
9
11
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
14
1
3
5
7
9
11
13
0
2
4
6
8
10
12
14
1
3
5
7
8
10
12
14
1
3
5
7
9
11
13
0
2
4
6
8
10
0
2
4
6
8
10
12
14
1
3
5
7
9
11
9
11
13
0
2
4
6
8
10
12
14
1
3
5
7
9
11
13
0
10
12
14
1
3
2
4

Blackwood

13
1
0
3
6
9
12
14
2
5
8
11
14
2
5
1
4
7
10
13
1
4
7
10
13
1
0
3
6
9
12
0
3
6
9
12
0
3
6
9
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
5
8
11
14
2
4
7
10
13
1
4
7
10
13
1
4
7
10
13
1
4
7
10
13
1
0
3
6
9
12
0
3
6
9
12
0
3
6
9
12
0
3
8
11
14
2
5
8
11
14
2
5
8
11
14
2
4
7
10
13
1
4
7
10
13
1
4
12
0
3
6
9
12
0
3
8
11
14
2
5
1
4

Hanson

9
13
12
1
5
9
13
11
0
4
8
12
1
5
9
14
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
2
6
10
14
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
7
11
0
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
9
13
2
6
10
14
3
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
9
13
2
1
5
9
13
2
6
10
14
3
7
11
0
4
8
12
1
5
12
1
5
9
13
2
6
10
14
3
7
11
0
4
12
1
5
9
13
2
6
10
14
3
7
8
12
1
5
9
13
2
6
8
12
1
5
9
4
8


View • Talk • EditLumatone mappings 
← 12edo • 13edo • 14edo • Lumatone mapping for 15edo • 16edo • 17edo • 18edo →


Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_15edo&oldid=188298"