Lumatone mapping for magic: Difference between revisions
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| Line 13: | Line 13: | ||
* 13/7 ~ 28/15 ~ 15/8 | * 13/7 ~ 28/15 ~ 15/8 | ||
And the letter c refers to the chroma, representing 25/24 ~ 28/27 ~ 33/32 ~ 36/35 ~ 128/125. | And the letter c refers to the chroma, representing 25/24 ~ 27/26 ~ 28/27 ~ 33/32 ~ 36/35 ~ 128/125. | ||
== Compressed == | == Compressed == | ||
| Line 585: | Line 585: | ||
}} | }} | ||
== | == Intermediate == | ||
This mapping covers 5 complete octaves. The magic[10] MOS has a zigzag pattern with 60 degree angles. | This mapping covers 5 complete octaves. The magic[10] MOS has a zigzag pattern with 60 degree angles. | ||
{{Lumatone mapping| | {{Lumatone mapping| | ||
| Line 782: | Line 782: | ||
}} | }} | ||
== | == Semi-expanded == | ||
There are only 3 complete octaves. The magic[13] MOS has a zigzag pattern with 60 degree angles. | There are only 3 complete octaves. The magic[13] MOS has a zigzag pattern with 60 degree angles. | ||
{{Lumatone mapping| | {{Lumatone mapping| | ||
| Line 923: | Line 923: | ||
{{Lumatone key|x=36|y=15|label=15/11|size=10px}} | {{Lumatone key|x=36|y=15|label=15/11|size=10px}} | ||
{{Lumatone key|x=37|y=15|label=7/5}} | {{Lumatone key|x=37|y=15|label=7/5}} | ||
}} | |||
== Expanded == | |||
There are only 2 complete octaves. The magic[16] MOS has a zigzag pattern with 60 degree angles. | |||
{{Lumatone mapping| | |||
{{Lumatone key|x=2|y=4|label=22/15|size=10px}} | |||
{{Lumatone key|x=3|y=4|label=20/13|size=10px}} | |||
{{Lumatone key|x=4|y=4|label=11/7|size=11px}} | |||
{{Lumatone key|x=3|y=5|label=5/3}} | |||
{{Lumatone key|x=4|y=5|label=12/7|size=11px}} | |||
{{Lumatone key|x=5|y=5|label=16/9|size=11px}} | |||
{{Lumatone key|x=6|y=5|label=11/6|size=11px}} | |||
{{Lumatone key|x=7|y=5|label=40/21|size=10px}} | |||
{{Lumatone key|x=3|y=6|label=9/5}} | |||
{{Lumatone key|x=4|y=6|label=13/7|size=11px}} | |||
{{Lumatone key|x=5|y=6|label=-c}} | |||
{{Lumatone key|x=6|y=6|label=1/1}} | |||
{{Lumatone key|x=7|y=6|label=c}} | |||
{{Lumatone key|x=8|y=6|label=14/13|size=10px}} | |||
{{Lumatone key|x=9|y=6|label=10/9|size=11px}} | |||
{{Lumatone key|x=10|y=6|label=8/7}} | |||
{{Lumatone key|x=11|y=6|label=32/27|size=10px}} | |||
{{Lumatone key|x=12|y=6|label=11/9|size=11px}} | |||
{{Lumatone key|x=5|y=7|label=21/20|size=10px}} | |||
{{Lumatone key|x=6|y=7|label=12/11|size=10px}} | |||
{{Lumatone key|x=7|y=7|label=9/8}} | |||
{{Lumatone key|x=8|y=7|label=7/6}} | |||
{{Lumatone key|x=9|y=7|label=6/5}} | |||
{{Lumatone key|x=10|y=7|label=5/4}} | |||
{{Lumatone key|x=11|y=7|label=9/7}} | |||
{{Lumatone key|x=12|y=7|label=4/3}} | |||
{{Lumatone key|x=13|y=7|label=11/8|size=11px}} | |||
{{Lumatone key|x=14|y=7|label=10/7|size=11px}} | |||
{{Lumatone key|x=15|y=7|label=22/15|size=10px}} | |||
{{Lumatone key|x=16|y=7|label=20/13|size=10px}} | |||
{{Lumatone key|x=17|y=7|label=11/7|size=11px}} | |||
{{Lumatone key|x=8|y=8|label=14/11|size=10px}} | |||
{{Lumatone key|x=9|y=8|label=13/10|size=10px}} | |||
{{Lumatone key|x=10|y=8|label=15/11|size=10px}} | |||
{{Lumatone key|x=11|y=8|label=7/5}} | |||
{{Lumatone key|x=12|y=8|label=13/9|size=11px}} | |||
{{Lumatone key|x=13|y=8|label=3/2}} | |||
{{Lumatone key|x=14|y=8|label=14/9|size=11px}} | |||
{{Lumatone key|x=15|y=8|label=8/5}} | |||
{{Lumatone key|x=16|y=8|label=5/3}} | |||
{{Lumatone key|x=17|y=8|label=12/7|size=11px}} | |||
{{Lumatone key|x=18|y=8|label=16/9|size=11px}} | |||
{{Lumatone key|x=19|y=8|label=11/6|size=11px}} | |||
{{Lumatone key|x=20|y=8|label=40/21|size=10px}} | |||
{{Lumatone key|x=13|y=9|label=13/8|size=11px}} | |||
{{Lumatone key|x=14|y=9|label=27/16|size=10px}} | |||
{{Lumatone key|x=15|y=9|label=7/4}} | |||
{{Lumatone key|x=16|y=9|label=9/5}} | |||
{{Lumatone key|x=17|y=9|label=13/7|size=11px}} | |||
{{Lumatone key|x=18|y=9|label=-c}} | |||
{{Lumatone key|x=19|y=9|label=1/1}} | |||
{{Lumatone key|x=20|y=9|label=c}} | |||
{{Lumatone key|x=21|y=9|label=14/13|size=10px}} | |||
{{Lumatone key|x=22|y=9|label=10/9|size=11px}} | |||
{{Lumatone key|x=23|y=9|label=8/7}} | |||
{{Lumatone key|x=24|y=9|label=32/27|size=10px}} | |||
{{Lumatone key|x=25|y=9|label=11/9|size=11px}} | |||
{{Lumatone key|x=18|y=10|label=21/20|size=10px}} | |||
{{Lumatone key|x=19|y=10|label=12/11|size=10px}} | |||
{{Lumatone key|x=20|y=10|label=9/8}} | |||
{{Lumatone key|x=21|y=10|label=7/6}} | |||
{{Lumatone key|x=22|y=10|label=6/5}} | |||
{{Lumatone key|x=23|y=10|label=5/4}} | |||
{{Lumatone key|x=24|y=10|label=9/7}} | |||
{{Lumatone key|x=25|y=10|label=4/3}} | |||
{{Lumatone key|x=26|y=10|label=11/8|size=11px}} | |||
{{Lumatone key|x=27|y=10|label=10/7|size=11px}} | |||
{{Lumatone key|x=28|y=10|label=22/15|size=10px}} | |||
{{Lumatone key|x=29|y=10|label=20/13|size=10px}} | |||
{{Lumatone key|x=30|y=10|label=11/7|size=11px}} | |||
{{Lumatone key|x=21|y=11|label=14/11|size=10px}} | |||
{{Lumatone key|x=22|y=11|label=13/10|size=10px}} | |||
{{Lumatone key|x=23|y=11|label=15/11|size=10px}} | |||
{{Lumatone key|x=24|y=11|label=7/5}} | |||
{{Lumatone key|x=25|y=11|label=13/9|size=11px}} | |||
{{Lumatone key|x=26|y=11|label=3/2}} | |||
{{Lumatone key|x=27|y=11|label=14/9|size=11px}} | |||
{{Lumatone key|x=28|y=11|label=8/5}} | |||
{{Lumatone key|x=29|y=11|label=5/3}} | |||
{{Lumatone key|x=30|y=11|label=12/7|size=11px}} | |||
{{Lumatone key|x=31|y=11|label=16/9|size=11px}} | |||
{{Lumatone key|x=32|y=11|label=11/6|size=11px}} | |||
{{Lumatone key|x=33|y=11|label=40/21|size=10px}} | |||
{{Lumatone key|x=26|y=12|label=13/8|size=11px}} | |||
{{Lumatone key|x=27|y=12|label=27/16|size=10px}} | |||
{{Lumatone key|x=28|y=12|label=7/4}} | |||
{{Lumatone key|x=29|y=12|label=9/5}} | |||
{{Lumatone key|x=30|y=12|label=13/7|size=11px}} | |||
{{Lumatone key|x=31|y=12|label=-c}} | |||
{{Lumatone key|x=32|y=12|label=1/1}} | |||
{{Lumatone key|x=33|y=12|label=c}} | |||
{{Lumatone key|x=34|y=12|label=14/13|size=10px}} | |||
{{Lumatone key|x=35|y=12|label=10/9|size=11px}} | |||
{{Lumatone key|x=31|y=13|label=21/20|size=10px}} | |||
{{Lumatone key|x=32|y=13|label=12/11|size=10px}} | |||
{{Lumatone key|x=33|y=13|label=9/8}} | |||
{{Lumatone key|x=34|y=13|label=7/6}} | |||
{{Lumatone key|x=35|y=13|label=6/5}} | |||
{{Lumatone key|x=36|y=13|label=5/4}} | |||
{{Lumatone key|x=34|y=14|label=14/11|size=10px}} | |||
{{Lumatone key|x=35|y=14|label=13/10|size=10px}} | |||
{{Lumatone key|x=36|y=14|label=15/11|size=10px}} | |||
}} | }} | ||
[[Category:Lumatone mappings]] | [[Category:Lumatone mappings]] | ||
[[Category:Magic]] | [[Category:Magic]] | ||
Revision as of 08:56, 14 April 2022
Note the following equivalences in magic, meaning that a key labeled with one of the ratios actually represents others:
- 16/15 ~ 15/14 ~ 14/13
- 13/12 ~ 12/11
- 11/10 ~ 10/9
- 8/7 ~ 15/13
- 11/9 ~ 16/13
- 11/8 ~ 18/13
- 13/9 ~ 16/11
- 13/8 ~ 18/11
- 26/15 ~ 7/4
- 9/5 ~ 20/11
- 11/6 ~ 24/13
- 13/7 ~ 28/15 ~ 15/8
And the letter c refers to the chroma, representing 25/24 ~ 27/26 ~ 28/27 ~ 33/32 ~ 36/35 ~ 128/125.
Compressed
This mapping covers 10 complete octaves. The magic[4] MOS has a zigzag pattern with 60 degree angles.
13/9
9/5
13/7
7/6
13/9
9/5
9/8
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
10/9
11/8
12/7
14/13
4/3
10/9
11/8
Semi-compressed
This mapping covers 8 complete octaves. The magic[7] MOS has a zigzag pattern with 60 degree angles.
13/10
13/8
15/11
27/16
21/20
13/10
13/8
9/8
7/5
7/4
12/11
15/11
27/16
21/20
13/10
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
27/16
21/20
13/10
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
27/16
21/20
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
27/16
21/20
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
27/16
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
27/16
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
22/15
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
22/15
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
32/27
22/15
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
32/27
22/15
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
40/21
32/27
22/15
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
40/21
32/27
22/15
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
20/13
40/21
32/27
22/15
11/6
8/7
10/7
16/9
20/13
40/21
32/27
22/15
11/6
11/9
20/13
Intermediate
This mapping covers 5 complete octaves. The magic[10] MOS has a zigzag pattern with 60 degree angles.
11/8
10/7
5/3
12/7
16/9
11/6
40/21
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
9/5
13/7
-c
1/1
c
7/6
6/5
Semi-expanded
There are only 3 complete octaves. The magic[13] MOS has a zigzag pattern with 60 degree angles.
10/7
22/15
20/13
11/7
5/3
12/7
16/9
11/6
40/21
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
21/20
12/11
9/8
7/6
6/5
14/11
13/10
15/11
7/5
Expanded
There are only 2 complete octaves. The magic[16] MOS has a zigzag pattern with 60 degree angles.
22/15
20/13
11/7
5/3
12/7
16/9
11/6
40/21
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
8/7
32/27
11/9
21/20
12/11
9/8
7/6
6/5
5/4
9/7
4/3
11/8
10/7
22/15
20/13
11/7
14/11
13/10
15/11
7/5
13/9
3/2
14/9
8/5
5/3
12/7
16/9
11/6
40/21
13/8
27/16
7/4
9/5
13/7
-c
1/1
c
14/13
10/9
21/20
12/11
9/8
7/6
6/5
5/4
14/11
13/10
15/11