Lumatone mapping for 13edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Add another use for the extreme range
Add Bryan Deister's Father + Aurora mapping; add headings
Line 1: Line 1:
There are several possible ways to map [[13edo]] onto the onto the Lumatone keyboard. However, none of them even remotely approximate the [[Standard Lumatone mapping for Pythagorean]]. The following mapping for [[13edo]] can be used for every [[MOS]] scale in 13edo with {{nowrap|L {{=}} 2\13}} and {{nowrap|s {{=}} 1\13}}, such as [[5L 3s]] and [[6L 1s]].
There are several possible ways to map [[13edo]] onto the onto the Lumatone keyboard. However, none of them even remotely approximate the [[Standard Lumatone mapping for Pythagorean]].
 
== Archaeotonic (exo-Tetracot) ==
The following mapping for [[13edo]] can be used for every [[MOS]] scale in 13edo with {{nowrap|L {{=}} 2\13}} and {{nowrap|s {{=}} 1\13}}, such as [[5L 3s]] and [[6L 1s]].
{{Lumatone EDO mapping|n=13|start=0|xstep=2|ystep=-1}}
{{Lumatone EDO mapping|n=13|start=0|xstep=2|ystep=-1}}


== Fibotonic (compressed) ==
Since 13edo is a small edo, you can compress this down to a [[2L 1s]] scale that extends range past human hearing (or more practically, enables division into multiple zones for different instruments) and puts all kinds of intervals within easy reach in different directions while still having a moderate number of repeated notes.
Since 13edo is a small edo, you can compress this down to a [[2L 1s]] scale that extends range past human hearing (or more practically, enables division into multiple zones for different instruments) and puts all kinds of intervals within easy reach in different directions while still having a moderate number of repeated notes.
{{Lumatone EDO mapping|n=13|start=12|xstep=5|ystep=-2}}
{{Lumatone EDO mapping|n=13|start=12|xstep=5|ystep=-2}}
== Father + Aurora ==
[[Bryan Deister]] has demonstrated a [[3L 2s]] (3:2 step ratio) [[Aurora]]/[[Father]] mapping for [[13edo]], in [https://www.youtube.com/shorts/YiIr9l0M67w ''Holding Back My Endless Sigh - 13edo''] (2026). The generator 8\13 (three keys right and one key down-right from the root note) can be taken as a very sharp fifth (~[[3/2]], for Father temperament) or a moderately sharp septimal superfifth (~[[32/21]], for Aurora temperament). The range is over seven octaves, with notes repeated multiple times, but unfortunately the downwards slope of the octaves, although mild, would make mapping to multiple manuals tricky.
{{Lumatone EDO mapping|n=13|start=0|xstep=3|ystep=-1}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}

Revision as of 08:53, 11 January 2026

There are several possible ways to map 13edo onto the onto the Lumatone keyboard. However, none of them even remotely approximate the Standard Lumatone mapping for Pythagorean.

Archaeotonic (exo-Tetracot)

The following mapping for 13edo can be used for every MOS scale in 13edo with L = 2\13 and s = 1\13, such as 5L 3s and 6L 1s.

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

Fibotonic (compressed)

Since 13edo is a small edo, you can compress this down to a 2L 1s scale that extends range past human hearing (or more practically, enables division into multiple zones for different instruments) and puts all kinds of intervals within easy reach in different directions while still having a moderate number of repeated notes.

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

Father + Aurora

Bryan Deister has demonstrated a 3L 2s (3:2 step ratio) Aurora/Father mapping for 13edo, in Holding Back My Endless Sigh - 13edo (2026). The generator 8\13 (three keys right and one key down-right from the root note) can be taken as a very sharp fifth (~3/2, for Father temperament) or a moderately sharp septimal superfifth (~32/21, for Aurora temperament). The range is over seven octaves, with notes repeated multiple times, but unfortunately the downwards slope of the octaves, although mild, would make mapping to multiple manuals tricky.

0
3
2
5
8
11
1
1
4
7
10
0
3
6
9
3
6
9
12
2
5
8
11
1
4
7
2
5
8
11
1
4
7
10
0
3
6
9
12
2
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
2
5
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
10
0
3
6
9
12
2
5
8
11
1
4
7
10
0
3
6
9
12
2
8
11
1
4
7
10
0
3
6
9
12
2
5
8
11
1
4
3
6
9
12
2
5
8
11
1
4
7
10
0
3
1
4
7
10
0
3
6
9
12
2
5
9
12
2
5
8
11
1
4
7
10
0
3
6
2
5
View • Talk • Edit Lumatone mappings 
← 10edo • 11edo • 12edo • Lumatone mapping for 13edo • 14edo • 15edo • 16edo →


Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_13edo&oldid=221292"