View source for Lumatone mapping for tetracot

This [[Lumatone]] keyboard mapping is for temperaments shaped like [[tetracot family|tetracot]], which divides 3/2 into four equal parts resulting in a [[6L 1s]] scale. The notation used here is that A-G is Tetracot[7], where G-A is the unique small step. In other words, every pair of consecutive letters of the alphabet (so not G-A) is a tetracot generator.

This mapping has the same overall shape as the [[Lumatone mapping for Porcupine#Compressed|"compressed" mapping for porcupine]], but because the chroma goes in the other direction, this is already optimal and there is no reason to go to a more "expanded" mapping.
{{Lumatone mapping|

{{Lumatone key|x=3|y=5|label=F^}}
{{Lumatone key|x=4|y=5|label=G^}}

{{Lumatone key|x=3|y=6|label=F}}
{{Lumatone key|x=4|y=6|label=G}}
{{Lumatone key|x=5|y=6|label=A^}}
{{Lumatone key|x=6|y=6|label=B^}}
{{Lumatone key|x=7|y=6|label=C^}}
{{Lumatone key|x=8|y=6|label=D^}}
{{Lumatone key|x=9|y=6|label=E^}}
{{Lumatone key|x=10|y=6|label=F^}}
{{Lumatone key|x=11|y=6|label=G^}}

{{Lumatone key|x=4|y=7|label=Gv}}
{{Lumatone key|x=5|y=7|label=A}}
{{Lumatone key|x=6|y=7|label=B}}
{{Lumatone key|x=7|y=7|label=C}}
{{Lumatone key|x=8|y=7|label=D}}
{{Lumatone key|x=9|y=7|label=E}}
{{Lumatone key|x=10|y=7|label=F}}
{{Lumatone key|x=11|y=7|label=G}}
{{Lumatone key|x=12|y=7|label=A^}}
{{Lumatone key|x=13|y=7|label=B^}}
{{Lumatone key|x=14|y=7|label=C^}}
{{Lumatone key|x=15|y=7|label=D^}}
{{Lumatone key|x=16|y=7|label=E^}}
{{Lumatone key|x=17|y=7|label=F^}}
{{Lumatone key|x=18|y=7|label=G^}}

{{Lumatone key|x=5|y=8|label=Av}}
{{Lumatone key|x=6|y=8|label=Bv}}
{{Lumatone key|x=7|y=8|label=Cv}}
{{Lumatone key|x=8|y=8|label=Dv}}
{{Lumatone key|x=9|y=8|label=Ev}}
{{Lumatone key|x=10|y=8|label=Fv}}
{{Lumatone key|x=11|y=8|label=Gv}}
{{Lumatone key|x=12|y=8|label=A}}
{{Lumatone key|x=13|y=8|label=B}}
{{Lumatone key|x=14|y=8|label=C}}
{{Lumatone key|x=15|y=8|label=D}}
{{Lumatone key|x=16|y=8|label=E}}
{{Lumatone key|x=17|y=8|label=F}}
{{Lumatone key|x=18|y=8|label=G}}
{{Lumatone key|x=19|y=8|label=A^}}
{{Lumatone key|x=20|y=8|label=B^}}
{{Lumatone key|x=21|y=8|label=C^}}
{{Lumatone key|x=22|y=8|label=D^}}
{{Lumatone key|x=23|y=8|label=E^}}
{{Lumatone key|x=24|y=8|label=F^}}
{{Lumatone key|x=25|y=8|label=G^}}

{{Lumatone key|x=12|y=9|label=Av}}
{{Lumatone key|x=13|y=9|label=Bv}}
{{Lumatone key|x=14|y=9|label=Cv}}
{{Lumatone key|x=15|y=9|label=Dv}}
{{Lumatone key|x=16|y=9|label=Ev}}
{{Lumatone key|x=17|y=9|label=Fv}}
{{Lumatone key|x=18|y=9|label=Gv}}
{{Lumatone key|x=19|y=9|label=A}}
{{Lumatone key|x=20|y=9|label=B}}
{{Lumatone key|x=21|y=9|label=C}}
{{Lumatone key|x=22|y=9|label=D}}
{{Lumatone key|x=23|y=9|label=E}}
{{Lumatone key|x=24|y=9|label=F}}
{{Lumatone key|x=25|y=9|label=G}}
{{Lumatone key|x=26|y=9|label=A^}}
{{Lumatone key|x=27|y=9|label=B^}}
{{Lumatone key|x=28|y=9|label=C^}}
{{Lumatone key|x=29|y=9|label=D^}}
{{Lumatone key|x=30|y=9|label=E^}}
{{Lumatone key|x=31|y=9|label=F^}}
{{Lumatone key|x=32|y=9|label=G^}}

{{Lumatone key|x=19|y=10|label=Av}}
{{Lumatone key|x=20|y=10|label=Bv}}
{{Lumatone key|x=21|y=10|label=Cv}}
{{Lumatone key|x=22|y=10|label=Dv}}
{{Lumatone key|x=23|y=10|label=Ev}}
{{Lumatone key|x=24|y=10|label=Fv}}
{{Lumatone key|x=25|y=10|label=Gv}}
{{Lumatone key|x=26|y=10|label=A}}
{{Lumatone key|x=27|y=10|label=B}}
{{Lumatone key|x=28|y=10|label=C}}
{{Lumatone key|x=29|y=10|label=D}}
{{Lumatone key|x=30|y=10|label=E}}
{{Lumatone key|x=31|y=10|label=F}}
{{Lumatone key|x=32|y=10|label=G}}
{{Lumatone key|x=33|y=10|label=A^}}
{{Lumatone key|x=34|y=10|label=B^}}

{{Lumatone key|x=26|y=11|label=Av}}
{{Lumatone key|x=27|y=11|label=Bv}}
{{Lumatone key|x=28|y=11|label=Cv}}
{{Lumatone key|x=29|y=11|label=Dv}}
{{Lumatone key|x=30|y=11|label=Ev}}
{{Lumatone key|x=31|y=11|label=Fv}}
{{Lumatone key|x=32|y=11|label=Gv}}
{{Lumatone key|x=33|y=11|label=A}}
{{Lumatone key|x=34|y=11|label=B}}
{{Lumatone key|x=35|y=11|label=C}}

{{Lumatone key|x=33|y=12|label=Av}}
{{Lumatone key|x=34|y=12|label=Bv}}
{{Lumatone key|x=35|y=12|label=Cv}}

}}

==Locations of harmonics in Monkey mapping==

The specific temperament mapping used here is 13-limit [[Tetracot family#Monkey|monkey]].
{{Lumatone mapping|

{{Lumatone key|x=6|y=6|label=9/8}}
{{Lumatone key|x=7|y=6|label=5/4}}
{{Lumatone key|x=8|y=6|label=11/8}}
{{Lumatone key|x=11|y=6|label=15/8}}

{{Lumatone key|x=5|y=7|label=1/1}}
{{Lumatone key|x=9|y=7|label=3/2}}
{{Lumatone key|x=13|y=7|label=9/8}}
{{Lumatone key|x=14|y=7|label=5/4}}
{{Lumatone key|x=15|y=7|label=11/8}}
{{Lumatone key|x=18|y=7|label=15/8}}

{{Lumatone key|x=10|y=8|label=13/8}}
{{Lumatone key|x=12|y=8|label=1/1}}
{{Lumatone key|x=16|y=8|label=3/2}}
{{Lumatone key|x=20|y=8|label=9/8}}
{{Lumatone key|x=21|y=8|label=5/4}}
{{Lumatone key|x=22|y=8|label=11/8}}
{{Lumatone key|x=25|y=8|label=15/8}}

{{Lumatone key|x=17|y=9|label=13/8}}
{{Lumatone key|x=19|y=9|label=1/1}}
{{Lumatone key|x=23|y=9|label=3/2}}
{{Lumatone key|x=27|y=9|label=9/8}}
{{Lumatone key|x=28|y=9|label=5/4}}
{{Lumatone key|x=29|y=9|label=11/8}}
{{Lumatone key|x=32|y=9|label=15/8}}

{{Lumatone key|x=11|y=10|label=7/4}}
{{Lumatone key|x=24|y=10|label=13/8}}
{{Lumatone key|x=26|y=10|label=1/1}}
{{Lumatone key|x=30|y=10|label=3/2}}
{{Lumatone key|x=34|y=10|label=9/8}}

{{Lumatone key|x=18|y=11|label=7/4}}
{{Lumatone key|x=31|y=11|label=13/8}}
{{Lumatone key|x=33|y=11|label=1/1}}

{{Lumatone key|x=25|y=12|label=7/4}}

{{Lumatone key|x=32|y=13|label=7/4}}

}}

==External links==
* [https://www.youtube.com/watch?v=SueBUSvkTEg The monkey puzzle] by Herman Miller

[[Category:Lumatone mappings]]
[[Category:Tetracot family]]