Lumatone mapping for slendric: Difference between revisions
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m Keenan Pepper moved page Lumatone mapping for Slendric to Lumatone mapping for slendric: let's lowercase all the temperament names |
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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. | 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. | ||
If the above layout is the "compressed" one then the below is an "expanded" one which has a range of only 5 octaves, but whose layout may make more intuitive sense: | |||
{{Lumatone mapping| | |||
{{Lumatone key|x=2|y=4|label=27/14|size=10px}} | |||
{{Lumatone key|x=3|y=5|label=-c}} | |||
{{Lumatone key|x=4|y=5|label=9/8}} | |||
{{Lumatone key|x=5|y=5|label=9/7}} | |||
{{Lumatone key|x=6|y=5|label=}} | |||
{{Lumatone key|x=7|y=5|label=27/16|size=10px}} | |||
{{Lumatone key|x=8|y=5|label=27/14|size=10px}} | |||
{{Lumatone key|x=3|y=6|label=7/4}} | |||
{{Lumatone key|x=4|y=6|label=1/1}} | |||
{{Lumatone key|x=5|y=6|label=8/7}} | |||
{{Lumatone key|x=6|y=6|label=21/16|size=10px}} | |||
{{Lumatone key|x=7|y=6|label=3/2}} | |||
{{Lumatone key|x=8|y=6|label=12/7}} | |||
{{Lumatone key|x=9|y=6|label=-c}} | |||
{{Lumatone key|x=10|y=6|label=9/8}} | |||
{{Lumatone key|x=11|y=6|label=9/7}} | |||
{{Lumatone key|x=12|y=6|label=}} | |||
{{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=21|y=6|label=Y}} | |||
{{Lumatone key|x=4|y=7|label=16/9}} | |||
{{Lumatone key|x=5|y=7|label=c}} | |||
{{Lumatone key|x=6|y=7|label=7/6}} | |||
{{Lumatone key|x=7|y=7|label=4/3}} | |||
{{Lumatone key|x=8|y=7|label=32/21|size=10px}} | |||
{{Lumatone key|x=9|y=7|label=7/4}} | |||
{{Lumatone key|x=10|y=7|label=1/1}} | |||
{{Lumatone key|x=11|y=7|label=8/7}} | |||
{{Lumatone key|x=12|y=7|label=21/16|size=10px}} | |||
{{Lumatone key|x=13|y=7|label=3/2}} | |||
{{Lumatone key|x=14|y=7|label=12/7}} | |||
{{Lumatone key|x=15|y=7|label=-c}} | |||
{{Lumatone key|x=16|y=7|label=9/8}} | |||
{{Lumatone key|x=17|y=7|label=9/7}} | |||
{{Lumatone key|x=18|y=7|label=}} | |||
{{Lumatone key|x=19|y=7|label=27/16|size=10px}} | |||
{{Lumatone key|x=20|y=7|label=27/14|size=10px}} | |||
{{Lumatone key|x=22|y=7|label=X}} | |||
{{Lumatone key|x=6|y=8|label=28/27|size=10px}} | |||
{{Lumatone key|x=7|y=8|label=32/27|size=10px}} | |||
{{Lumatone key|x=8|y=8|label=}} | |||
{{Lumatone key|x=9|y=8|label=14/9}} | |||
{{Lumatone key|x=10|y=8|label=16/9}} | |||
{{Lumatone key|x=11|y=8|label=c}} | |||
{{Lumatone key|x=12|y=8|label=7/6}} | |||
{{Lumatone key|x=13|y=8|label=4/3}} | |||
{{Lumatone key|x=14|y=8|label=32/21|size=10px}} | |||
{{Lumatone key|x=15|y=8|label=7/4}} | |||
{{Lumatone key|x=16|y=8|label=1/1}} | |||
{{Lumatone key|x=17|y=8|label=8/7}} | |||
{{Lumatone key|x=18|y=8|label=21/16|size=10px}} | |||
{{Lumatone key|x=19|y=8|label=3/2}} | |||
{{Lumatone key|x=20|y=8|label=12/7}} | |||
{{Lumatone key|x=21|y=8|label=-c}} | |||
{{Lumatone key|x=22|y=8|label=9/8}} | |||
{{Lumatone key|x=23|y=8|label=9/7}} | |||
{{Lumatone key|x=24|y=8|label=}} | |||
{{Lumatone key|x=25|y=8|label=27/16|size=10px}} | |||
{{Lumatone key|x=26|y=8|label=27/14|size=10px}} | |||
{{Lumatone key|x=12|y=9|label=28/27|size=10px}} | |||
{{Lumatone key|x=13|y=9|label=32/27|size=10px}} | |||
{{Lumatone key|x=14|y=9|label=}} | |||
{{Lumatone key|x=15|y=9|label=14/9}} | |||
{{Lumatone key|x=16|y=9|label=16/9}} | |||
{{Lumatone key|x=17|y=9|label=c}} | |||
{{Lumatone key|x=18|y=9|label=7/6}} | |||
{{Lumatone key|x=19|y=9|label=4/3}} | |||
{{Lumatone key|x=20|y=9|label=32/21|size=10px}} | |||
{{Lumatone key|x=21|y=9|label=7/4}} | |||
{{Lumatone key|x=22|y=9|label=1/1}} | |||
{{Lumatone key|x=23|y=9|label=8/7}} | |||
{{Lumatone key|x=24|y=9|label=21/16|size=10px}} | |||
{{Lumatone key|x=25|y=9|label=3/2}} | |||
{{Lumatone key|x=26|y=9|label=12/7}} | |||
{{Lumatone key|x=27|y=9|label=-c}} | |||
{{Lumatone key|x=28|y=9|label=9/8}} | |||
{{Lumatone key|x=29|y=9|label=9/7}} | |||
{{Lumatone key|x=30|y=9|label=}} | |||
{{Lumatone key|x=31|y=9|label=27/16|size=10px}} | |||
{{Lumatone key|x=32|y=9|label=27/14|size=10px}} | |||
{{Lumatone key|x=18|y=10|label=28/27|size=10px}} | |||
{{Lumatone key|x=19|y=10|label=32/27|size=10px}} | |||
{{Lumatone key|x=20|y=10|label=}} | |||
{{Lumatone key|x=21|y=10|label=14/9}} | |||
{{Lumatone key|x=22|y=10|label=16/9}} | |||
{{Lumatone key|x=23|y=10|label=c}} | |||
{{Lumatone key|x=24|y=10|label=7/6}} | |||
{{Lumatone key|x=25|y=10|label=4/3}} | |||
{{Lumatone key|x=26|y=10|label=32/21|size=10px}} | |||
{{Lumatone key|x=27|y=10|label=7/4}} | |||
{{Lumatone key|x=28|y=10|label=1/1}} | |||
{{Lumatone key|x=29|y=10|label=8/7}} | |||
{{Lumatone key|x=30|y=10|label=21/16|size=10px}} | |||
{{Lumatone key|x=31|y=10|label=3/2}} | |||
{{Lumatone key|x=32|y=10|label=12/7}} | |||
{{Lumatone key|x=33|y=10|label=-c}} | |||
{{Lumatone key|x=34|y=10|label=9/8}} | |||
{{Lumatone key|x=24|y=11|label=28/27|size=10px}} | |||
{{Lumatone key|x=25|y=11|label=32/27|size=10px}} | |||
{{Lumatone key|x=26|y=11|label=}} | |||
{{Lumatone key|x=27|y=11|label=14/9}} | |||
{{Lumatone key|x=28|y=11|label=16/9}} | |||
{{Lumatone key|x=29|y=11|label=c}} | |||
{{Lumatone key|x=30|y=11|label=7/6}} | |||
{{Lumatone key|x=31|y=11|label=4/3}} | |||
{{Lumatone key|x=32|y=11|label=32/21|size=10px}} | |||
{{Lumatone key|x=33|y=11|label=7/4}} | |||
{{Lumatone key|x=34|y=11|label=1/1}} | |||
{{Lumatone key|x=35|y=11|label=8/7}} | |||
{{Lumatone key|x=30|y=12|label=28/27|size=10px}} | |||
{{Lumatone key|x=31|y=12|label=32/27|size=10px}} | |||
{{Lumatone key|x=32|y=12|label=}} | |||
{{Lumatone key|x=33|y=12|label=14/9}} | |||
{{Lumatone key|x=34|y=12|label=16/9}} | |||
{{Lumatone key|x=35|y=12|label=c}} | |||
{{Lumatone key|x=36|y=13|label=28/27|size=10px}} | |||
{{Lumatone key|x=34|y=15|label=Z}} | |||
}} | |||
[[Category:Lumatone mappings]] | [[Category:Lumatone mappings]] | ||
Latest revision as of 19:18, 9 January 2022
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.
If the above layout is the "compressed" one then the below is an "expanded" one which has a range of only 5 octaves, but whose layout may make more intuitive sense:
27/14
-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
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
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
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
28/27
Z