Lumatone mapping for 35edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
→Whitewood + Sensi/Sentry: Add the other part of the demo video
→Combined Blackwood and Whitewood: Add Bryan Deister's flipped version
Line 4: Line 4:
The most sensible option is probably to combine the [[5edo]] and [[7edo]] rings, with the vertical axis splitting the difference.
The most sensible option is probably to combine the [[5edo]] and [[7edo]] rings, with the vertical axis splitting the difference.
{{Lumatone EDO mapping|n=35|start=23|xstep=7|ystep=-2}}
{{Lumatone EDO mapping|n=35|start=23|xstep=7|ystep=-2}}
=== Flipped version of the above ===
A flipped version of the [[5L 5s]] (5:2 step ratio) [[blackwood]] + [[whitewood]] mapping is possible. The octaves slope upwards with the rows (as expected for blackwood mappings), and the range is a bit under 5½ octaves with no missed notes and some repeated notes to mitigate vertical wraparounds. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/watch?v=x8doWEgXMCY ''35edo improv''] (2026).


== Whitewood + Sensi/Sentry ==
== Whitewood + Sensi/Sentry ==

Revision as of 18:43, 26 June 2026

There are many conceivable ways to map 35edo onto the onto the Lumatone keyboard. However, the 35edo patent val (flat fifth shared with 7edo) has five mutually-exclusive rings of fifths, and the 35b (sharp fifth shared with 5edo) val has seven mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Combined Blackwood and Whitewood

The most sensible option is probably to combine the 5edo and 7edo rings, with the vertical axis splitting the difference.

23
30
28
0
7
14
21
26
33
5
12
19
26
33
5
31
3
10
17
24
31
3
10
17
24
31
29
1
8
15
22
29
1
8
15
22
29
1
8
15
34
6
13
20
27
34
6
13
20
27
34
6
13
20
27
34
6
32
4
11
18
25
32
4
11
18
25
32
4
11
18
25
32
4
11
18
25
2
9
16
23
30
2
9
16
23
30
2
9
16
23
30
2
9
16
23
30
2
9
16
0
7
14
21
28
0
7
14
21
28
0
7
14
21
28
0
7
14
21
28
0
7
14
21
28
0
12
19
26
33
5
12
19
26
33
5
12
19
26
33
5
12
19
26
33
5
12
19
26
33
5
12
19
26
31
3
10
17
24
31
3
10
17
24
31
3
10
17
24
31
3
10
17
24
31
3
10
17
24
31
22
29
1
8
15
22
29
1
8
15
22
29
1
8
15
22
29
1
8
15
22
29
1
6
13
20
27
34
6
13
20
27
34
6
13
20
27
34
6
13
20
27
34
32
4
11
18
25
32
4
11
18
25
32
4
11
18
25
32
4
16
23
30
2
9
16
23
30
2
9
16
23
30
2
7
14
21
28
0
7
14
21
28
0
7
26
33
5
12
19
26
33
5
17
24
31
3
10
1
8

Flipped version of the above

A flipped version of the 5L 5s (5:2 step ratio) blackwood + whitewood mapping is possible. The octaves slope upwards with the rows (as expected for blackwood mappings), and the range is a bit under 5½ octaves with no missed notes and some repeated notes to mitigate vertical wraparounds. Bryan Deister has used this mapping in 35edo improv (2026).

Whitewood + Sensi/Sentry

Bryan Deister has used a whitewood mapping for 35edo which also functions for an 3L 5s scale (5:4 step ratio) for a 2.5/3.9/7 version of sensi temperament (sentry), or a 2.3.5.13 version of it if using the 35f val, in [Whistling Like An Oberon - 35edo (2026) ([short 1], [short 2]). The very sharp major third generator 13\35 (one key right plus two keys down-right) can be taken as 9/7 in the former version of the temperament (fractional subgroup), or as 13/10 in the latter version (35f). The range is the range is just over 4½ octaves, which slope upwards with the rows (as expected for a whitewood mapping).

23
28
27
32
2
7
12
26
31
1
6
11
16
21
26
30
0
5
10
15
20
25
30
0
5
10
29
34
4
9
14
19
24
29
34
4
9
14
19
24
33
3
8
13
18
23
28
33
3
8
13
18
23
28
33
3
8
32
2
7
12
17
22
27
32
2
7
12
17
22
27
32
2
7
12
17
22
1
6
11
16
21
26
31
1
6
11
16
21
26
31
1
6
11
16
21
26
31
1
6
0
5
10
15
20
25
30
0
5
10
15
20
25
30
0
5
10
15
20
25
30
0
5
10
15
20
9
14
19
24
29
34
4
9
14
19
24
29
34
4
9
14
19
24
29
34
4
9
14
19
24
29
34
4
23
28
33
3
8
13
18
23
28
33
3
8
13
18
23
28
33
3
8
13
18
23
28
33
3
8
7
12
17
22
27
32
2
7
12
17
22
27
32
2
7
12
17
22
27
32
2
7
12
21
26
31
1
6
11
16
21
26
31
1
6
11
16
21
26
31
1
6
11
5
10
15
20
25
30
0
5
10
15
20
25
30
0
5
10
15
19
24
29
34
4
9
14
19
24
29
34
4
9
14
3
8
13
18
23
28
33
3
8
13
18
17
22
27
32
2
7
12
17
1
6
11
16
21
15
20

Muggles

If you want a heptatonic scale with distinct step sizes that makes fingering 5-limit chords easier, the muggles mapping is functional, if somewhat uneven.

19
21
28
30
32
34
1
0
2
4
6
8
10
12
14
9
11
13
15
17
19
21
23
25
27
29
16
18
20
22
24
26
28
30
32
34
1
3
5
7
25
27
29
31
33
0
2
4
6
8
10
12
14
16
18
20
22
32
34
1
3
5
7
9
11
13
15
17
19
21
23
25
27
29
31
33
0
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
1
3
5
7
9
11
13
15
13
15
17
19
21
23
25
27
29
31
33
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
24
26
28
30
32
34
1
3
5
7
9
11
13
15
17
19
21
23
25
27
29
31
33
0
2
4
6
8
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
1
3
5
7
9
11
13
15
17
17
19
21
23
25
27
29
31
33
0
2
4
6
8
10
12
14
16
18
20
22
24
26
30
32
34
1
3
5
7
9
11
13
15
17
19
21
23
25
27
29
31
33
10
12
14
16
18
20
22
24
26
28
30
32
34
1
3
5
7
23
25
27
29
31
33
0
2
4
6
8
10
12
14
3
5
7
9
11
13
15
17
19
21
23
16
18
20
22
24
26
28
30
31
33
0
2
4
9
11

Baldy

Bryan Deister has used a baldy mapping for 35edo, with a 5L 1s scale (6:5 step ratio), in 35edo (2025). Baldy is like Garibaldi, but only uses every other generator increment — thus using the Pythagorean major second ~9/8, which is very accurate in 35edo, instead of the fifth~3/2, which is very inaccurate in 35edo (with both possible values being just outside diatonic range). The range is just under 5½ octaves, and the octaves slope upwards moderately.

19
25
24
30
1
7
13
23
29
0
6
12
18
24
30
28
34
5
11
17
23
29
0
6
12
18
27
33
4
10
16
22
28
34
5
11
17
23
29
0
32
3
9
15
21
27
33
4
10
16
22
28
34
5
11
17
23
31
2
8
14
20
26
32
3
9
15
21
27
33
4
10
16
22
28
34
5
1
7
13
19
25
31
2
8
14
20
26
32
3
9
15
21
27
33
4
10
16
22
28
0
6
12
18
24
30
1
7
13
19
25
31
2
8
14
20
26
32
3
9
15
21
27
33
4
10
11
17
23
29
0
6
12
18
24
30
1
7
13
19
25
31
2
8
14
20
26
32
3
9
15
21
27
33
28
34
5
11
17
23
29
0
6
12
18
24
30
1
7
13
19
25
31
2
8
14
20
26
32
3
16
22
28
34
5
11
17
23
29
0
6
12
18
24
30
1
7
13
19
25
31
2
8
33
4
10
16
22
28
34
5
11
17
23
29
0
6
12
18
24
30
1
7
21
27
33
4
10
16
22
28
34
5
11
17
23
29
0
6
12
3
9
15
21
27
33
4
10
16
22
28
34
5
11
26
32
3
9
15
21
27
33
4
10
16
8
14
20
26
32
3
9
15
31
2
8
14
20
13
19
View • Talk • Edit Lumatone mappings 
← 32edo • 33edo • 34edo • Lumatone mapping for 35edo • 36edo • 37edo • 38edo →


Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_35edo&oldid=232782"