Lumatone mapping for slendric: Difference between revisions
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{{Lumatone mapping| | {{Lumatone mapping| | ||
{{Lumatone key|x=3|y=4|label=27/16|size=10px}} | {{Lumatone key|x=3|y=4|label=27/16|size=10px}} | ||
{{Lumatone key|x=4|y=4|label=27/14|size=10px}} | {{Lumatone key|x=4|y=4|label=27/14|size=10px}} | ||
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{{Lumatone key|x=13|y=6|label=27/16|size=10px}} | {{Lumatone key|x=13|y=6|label=27/16|size=10px}} | ||
{{Lumatone key|x=14|y=6|label=27/14|size=10px}} | {{Lumatone key|x=14|y=6|label=27/14|size=10px}} | ||
{{Lumatone key|x=21|y=6|label=Y}} | |||
{{Lumatone key|x=4|y=7|label=c}} | {{Lumatone key|x=4|y=7|label=c}} | ||
| Line 48: | Line 49: | ||
{{Lumatone key|x=18|y=7|label=27/16|size=10px}} | {{Lumatone key|x=18|y=7|label=27/16|size=10px}} | ||
{{Lumatone key|x=19|y=7|label=27/14|size=10px}} | {{Lumatone key|x=19|y=7|label=27/14|size=10px}} | ||
{{Lumatone key|x=21|y=7|label=X}} | |||
{{Lumatone key|x=4|y=8|label=28/27|size=10px}} | {{Lumatone key|x=4|y=8|label=28/27|size=10px}} | ||
| Line 157: | Line 160: | ||
{{Lumatone key|x=34|y=14|label=28/27|size=10px}} | {{Lumatone key|x=34|y=14|label=28/27|size=10px}} | ||
{{Lumatone key|x=35|y=14|label=32/27|size=10px}} | {{Lumatone key|x=35|y=14|label=32/27|size=10px}} | ||
{{Lumatone key|x= | |||
{{Lumatone key|x=30|y=16|label=Z}} | |||
}} | }} | ||
The differences between the extensions of slendric to the prime 5 can be visualized on this keyboard. | |||
* Cynder tempers out 81/80, so 9/8 above 9/8 is equivalent to 5/4 so 5/4 is mapped to the key marked "X". | |||
* Rodan, on the other hand, makes 81/80 the same as the chroma c, so 5/4 is instead mapped to the key mapped "Y", one chroma lower than "X". | |||
* Guiron maps 5/4 to the key marked "Z". | |||
Cynder and guiron intersect in 36edo, so in 36edo both "X" and "Z" represent 5/4. Rodan and guiron intersect in 41edo, so in 41edo both "Y" and "Z" represent 5/4. | |||
[[Category:Lumatone mappings]] | [[Category:Lumatone mappings]] | ||
Revision as of 22:35, 28 October 2021
This is one proposed mapping of slendric temperament to the Lumatone keyboard. 6 complete octaves are available, and modulation to distant keys is possible.
The keys marked "c" are one chroma up from 1/1, representing both 64/63 and 49/48. They keys marked "-c" are one chroma down from 1/1 (so 63/32 and 96/49).
The same mapping could be used for any extension of slendric that has the same period and generator, including Cynder, Rodan, and Guiron.
27/16
27/14
12/7
-c
9/8
9/7
27/16
27/14
7/4
1/1
8/7
21/16
3/2
12/7
-c
9/8
9/7
27/16
27/14
Y
c
7/6
4/3
32/21
7/4
1/1
8/7
21/16
3/2
12/7
-c
9/8
9/7
27/16
27/14
X
28/27
32/27
14/9
16/9
c
7/6
4/3
32/21
7/4
1/1
8/7
21/16
3/2
12/7
-c
9/8
9/7
27/16
27/14
28/27
32/27
14/9
16/9
c
7/6
4/3
32/21
7/4
1/1
8/7
21/16
3/2
12/7
-c
9/8
9/7
27/16
27/14
28/27
32/27
14/9
16/9
c
7/6
4/3
32/21
7/4
1/1
8/7
21/16
3/2
12/7
-c
9/8
9/7
27/16
27/14
28/27
32/27
14/9
16/9
c
7/6
4/3
32/21
7/4
1/1
8/7
21/16
3/2
12/7
-c
9/8
28/27
32/27
14/9
16/9
c
7/6
4/3
32/21
7/4
1/1
8/7
28/27
32/27
14/9
16/9
c
7/6
4/3
28/27
32/27
Z
The differences between the extensions of slendric to the prime 5 can be visualized on this keyboard.
- Cynder tempers out 81/80, so 9/8 above 9/8 is equivalent to 5/4 so 5/4 is mapped to the key marked "X".
- Rodan, on the other hand, makes 81/80 the same as the chroma c, so 5/4 is instead mapped to the key mapped "Y", one chroma lower than "X".
- Guiron maps 5/4 to the key marked "Z".
Cynder and guiron intersect in 36edo, so in 36edo both "X" and "Z" represent 5/4. Rodan and guiron intersect in 41edo, so in 41edo both "Y" and "Z" represent 5/4.