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Lumatone mapping for magic: Difference between revisions

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Line 1: Line 1:
Note the following equivalences in [[magic]], meaning that a key labeled with one of the ratios actually represents others:
Note the following equivalences in [[magic]], meaning that a key labeled with one of the ratios also represents others:
* 16/15 ~ 15/14 ~ 14/13
* 16/15 ~ 15/14 ~ 14/13
* 13/12 ~ 12/11
* 13/12 ~ 12/11
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, but not 26/25.


== Compressed ==
== Compressed ==
Line 585: Line 585:
}}
}}


== Semi-expanded ==
== 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 780: Line 780:
{{Lumatone key|x=37|y=18|label=7/6}}
{{Lumatone key|x=37|y=18|label=7/6}}
{{Lumatone key|x=38|y=18|label=6/5}}
{{Lumatone key|x=38|y=18|label=6/5}}
}}
== Semi-expanded ==
There are only 3 complete octaves. The magic[13] MOS has a zigzag pattern with 60 degree angles.
{{Lumatone mapping|
{{Lumatone key|x=1|y=2|label=10/7|size=11px}}
{{Lumatone key|x=2|y=2|label=22/15|size=10px}}
{{Lumatone key|x=3|y=2|label=20/13|size=10px}}
{{Lumatone key|x=4|y=2|label=11/7|size=11px}}
{{Lumatone key|x=2|y=3|label=5/3}}
{{Lumatone key|x=3|y=3|label=12/7|size=11px}}
{{Lumatone key|x=4|y=3|label=16/9|size=11px}}
{{Lumatone key|x=5|y=3|label=11/6|size=11px}}
{{Lumatone key|x=6|y=3|label=40/21|size=10px}}
{{Lumatone key|x=2|y=4|label=13/7|size=11px}}
{{Lumatone key|x=3|y=4|label=-c}}
{{Lumatone key|x=4|y=4|label=1/1}}
{{Lumatone key|x=5|y=4|label=c}}
{{Lumatone key|x=6|y=4|label=14/13|size=10px}}
{{Lumatone key|x=7|y=4|label=10/9|size=11px}}
{{Lumatone key|x=8|y=4|label=8/7}}
{{Lumatone key|x=9|y=4|label=32/27|size=10px}}
{{Lumatone key|x=10|y=4|label=11/9|size=11px}}
{{Lumatone key|x=3|y=5|label=12/11|size=10px}}
{{Lumatone key|x=4|y=5|label=9/8}}
{{Lumatone key|x=5|y=5|label=7/6}}
{{Lumatone key|x=6|y=5|label=6/5}}
{{Lumatone key|x=7|y=5|label=5/4}}
{{Lumatone key|x=8|y=5|label=9/7}}
{{Lumatone key|x=9|y=5|label=4/3}}
{{Lumatone key|x=10|y=5|label=11/8|size=11px}}
{{Lumatone key|x=11|y=5|label=10/7|size=11px}}
{{Lumatone key|x=12|y=5|label=22/15|size=10px}}
{{Lumatone key|x=13|y=5|label=20/13|size=10px}}
{{Lumatone key|x=14|y=5|label=11/7|size=11px}}
{{Lumatone key|x=4|y=6|label=14/11|size=10px}}
{{Lumatone key|x=5|y=6|label=13/10|size=10px}}
{{Lumatone key|x=6|y=6|label=15/11|size=10px}}
{{Lumatone key|x=7|y=6|label=7/5}}
{{Lumatone key|x=8|y=6|label=13/9|size=11px}}
{{Lumatone key|x=9|y=6|label=3/2}}
{{Lumatone key|x=10|y=6|label=14/9|size=11px}}
{{Lumatone key|x=11|y=6|label=8/5}}
{{Lumatone key|x=12|y=6|label=5/3}}
{{Lumatone key|x=13|y=6|label=12/7|size=11px}}
{{Lumatone key|x=14|y=6|label=16/9|size=11px}}
{{Lumatone key|x=15|y=6|label=11/6|size=11px}}
{{Lumatone key|x=16|y=6|label=40/21|size=10px}}
{{Lumatone key|x=8|y=7|label=13/8|size=11px}}
{{Lumatone key|x=9|y=7|label=27/16|size=10px}}
{{Lumatone key|x=10|y=7|label=7/4}}
{{Lumatone key|x=11|y=7|label=9/5}}
{{Lumatone key|x=12|y=7|label=13/7|size=11px}}
{{Lumatone key|x=13|y=7|label=-c}}
{{Lumatone key|x=14|y=7|label=1/1}}
{{Lumatone key|x=15|y=7|label=c}}
{{Lumatone key|x=16|y=7|label=14/13|size=10px}}
{{Lumatone key|x=17|y=7|label=10/9|size=11px}}
{{Lumatone key|x=18|y=7|label=8/7}}
{{Lumatone key|x=19|y=7|label=32/27|size=10px}}
{{Lumatone key|x=20|y=7|label=11/9|size=11px}}
{{Lumatone key|x=12|y=8|label=21/20|size=10px}}
{{Lumatone key|x=13|y=8|label=12/11|size=10px}}
{{Lumatone key|x=14|y=8|label=9/8}}
{{Lumatone key|x=15|y=8|label=7/6}}
{{Lumatone key|x=16|y=8|label=6/5}}
{{Lumatone key|x=17|y=8|label=5/4}}
{{Lumatone key|x=18|y=8|label=9/7}}
{{Lumatone key|x=19|y=8|label=4/3}}
{{Lumatone key|x=20|y=8|label=11/8|size=11px}}
{{Lumatone key|x=21|y=8|label=10/7|size=11px}}
{{Lumatone key|x=22|y=8|label=22/15|size=10px}}
{{Lumatone key|x=23|y=8|label=20/13|size=10px}}
{{Lumatone key|x=24|y=8|label=11/7|size=11px}}
{{Lumatone key|x=14|y=9|label=14/11|size=10px}}
{{Lumatone key|x=15|y=9|label=13/10|size=10px}}
{{Lumatone key|x=16|y=9|label=15/11|size=10px}}
{{Lumatone key|x=17|y=9|label=7/5}}
{{Lumatone key|x=18|y=9|label=13/9|size=11px}}
{{Lumatone key|x=19|y=9|label=3/2}}
{{Lumatone key|x=20|y=9|label=14/9|size=11px}}
{{Lumatone key|x=21|y=9|label=8/5}}
{{Lumatone key|x=22|y=9|label=5/3}}
{{Lumatone key|x=23|y=9|label=12/7|size=11px}}
{{Lumatone key|x=24|y=9|label=16/9|size=11px}}
{{Lumatone key|x=25|y=9|label=11/6|size=11px}}
{{Lumatone key|x=26|y=9|label=40/21|size=10px}}
{{Lumatone key|x=18|y=10|label=13/8|size=11px}}
{{Lumatone key|x=19|y=10|label=27/16|size=10px}}
{{Lumatone key|x=20|y=10|label=7/4}}
{{Lumatone key|x=21|y=10|label=9/5}}
{{Lumatone key|x=22|y=10|label=13/7|size=11px}}
{{Lumatone key|x=23|y=10|label=-c}}
{{Lumatone key|x=24|y=10|label=1/1}}
{{Lumatone key|x=25|y=10|label=c}}
{{Lumatone key|x=26|y=10|label=14/13|size=10px}}
{{Lumatone key|x=27|y=10|label=10/9|size=11px}}
{{Lumatone key|x=28|y=10|label=8/7}}
{{Lumatone key|x=29|y=10|label=32/27|size=10px}}
{{Lumatone key|x=30|y=10|label=11/9|size=11px}}
{{Lumatone key|x=22|y=11|label=21/20|size=10px}}
{{Lumatone key|x=23|y=11|label=12/11|size=10px}}
{{Lumatone key|x=24|y=11|label=9/8}}
{{Lumatone key|x=25|y=11|label=7/6}}
{{Lumatone key|x=26|y=11|label=6/5}}
{{Lumatone key|x=27|y=11|label=5/4}}
{{Lumatone key|x=28|y=11|label=9/7}}
{{Lumatone key|x=29|y=11|label=4/3}}
{{Lumatone key|x=30|y=11|label=11/8|size=11px}}
{{Lumatone key|x=31|y=11|label=10/7|size=11px}}
{{Lumatone key|x=32|y=11|label=22/15|size=10px}}
{{Lumatone key|x=33|y=11|label=20/13|size=10px}}
{{Lumatone key|x=34|y=11|label=11/7|size=11px}}
{{Lumatone key|x=24|y=12|label=14/11|size=10px}}
{{Lumatone key|x=25|y=12|label=13/10|size=10px}}
{{Lumatone key|x=26|y=12|label=15/11|size=10px}}
{{Lumatone key|x=27|y=12|label=7/5}}
{{Lumatone key|x=28|y=12|label=13/9|size=11px}}
{{Lumatone key|x=29|y=12|label=3/2}}
{{Lumatone key|x=30|y=12|label=14/9|size=11px}}
{{Lumatone key|x=31|y=12|label=8/5}}
{{Lumatone key|x=32|y=12|label=5/3}}
{{Lumatone key|x=33|y=12|label=12/7|size=11px}}
{{Lumatone key|x=34|y=12|label=16/9|size=11px}}
{{Lumatone key|x=35|y=12|label=11/6|size=11px}}
{{Lumatone key|x=28|y=13|label=13/8|size=11px}}
{{Lumatone key|x=29|y=13|label=27/16|size=10px}}
{{Lumatone key|x=30|y=13|label=7/4}}
{{Lumatone key|x=31|y=13|label=9/5}}
{{Lumatone key|x=32|y=13|label=13/7|size=11px}}
{{Lumatone key|x=33|y=13|label=-c}}
{{Lumatone key|x=34|y=13|label=1/1}}
{{Lumatone key|x=35|y=13|label=c}}
{{Lumatone key|x=36|y=13|label=14/13|size=10px}}
{{Lumatone key|x=32|y=14|label=21/20|size=10px}}
{{Lumatone key|x=33|y=14|label=12/11|size=10px}}
{{Lumatone key|x=34|y=14|label=9/8}}
{{Lumatone key|x=35|y=14|label=7/6}}
{{Lumatone key|x=36|y=14|label=6/5}}
{{Lumatone key|x=34|y=15|label=14/11|size=10px}}
{{Lumatone key|x=35|y=15|label=13/10|size=10px}}
{{Lumatone key|x=36|y=15|label=15/11|size=10px}}
{{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]]
Retrieved from "https://en.xen.wiki/w/Lumatone_mapping_for_magic"