Lumatone mapping for sensi: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Newer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,024 edits
Created page with "This Lumatone keyboard mapping is for temperaments shaped like sensi, which divides 5/3 into two equal parts resulting in a 3L 5s scale. The notation used here is..."
 
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,024 edits
No edit summary
Line 1: Line 1:
This [[Lumatone]] keyboard mapping is for temperaments shaped like [[sensi]], which divides 5/3 into two equal parts resulting in a [[3L 5s]] scale. The notation used here is that J-Q is Sensi[8], JKLMNOPQJ = sLssLsLs where L represents 10/9 and s represents 13/12 ~ 14/13 ~ 15/14, and &/@ indicates up/down by chroma, which represents 28/27 ~ 36/35.
This [[Lumatone]] keyboard mapping is for temperaments shaped like [[sensi]], which divides 5/3 into two equal parts resulting in a [[3L 5s]] scale. The notation used here is that J-Q is Sensi[8], JKLMNOPQJ = sLssLsLs where L (major sen-2nd) represents 10/9 and s (minor sen-2nd) represents 13/12 ~ 14/13 ~ 15/14, and &/@ indicates up/down by chroma, which represents 28/27 ~ 36/35 ~ 40/39.


{{Lumatone mapping|
{{Lumatone mapping|
Line 173: Line 173:
{{Lumatone key|x=37|y=17|label=J@}}
{{Lumatone key|x=37|y=17|label=J@}}
{{Lumatone key|x=38|y=17|label=L@}}
{{Lumatone key|x=38|y=17|label=L@}}
}}
== Locations of tonality diamond ==
=== Sensor mapping ===
Note the following equivalences in [[Sensipent family #Sensor|sensor]] temperament, meaning that a key labeled with one of the ratios actually represents others:
* 15/14 ~ 14/13 ~ 13/12
* 15/13 ~ 7/6
* 9/7 ~ 13/10
* 18/13 ~ 7/5
* 10/7 ~ 13/9
* 20/13 ~ 14/9
* 12/7 ~ 26/15
* 24/13 ~ 13/7 ~ 28/15
The letter d refers to diminished sen-2nd (representing 21/20 ~ 25/24 ~ 27/26), and the letter c refers to the chroma (representing 26/25 ~ 28/27 ~ 33/32 ~ 36/35 ~ 40/39).
{{Lumatone mapping|
{{Lumatone key|x=0|y=0|label=13/7|size=11px}}
{{Lumatone key|x=1|y=0|label=10/9|size=11px}}
{{Lumatone key|x=1|y=1|label=1/1}}
{{Lumatone key|x=2|y=1|label=6/5}}
{{Lumatone key|x=3|y=1|label=10/7|size=11px}}
{{Lumatone key|x=4|y=1|label=12/7|size=11px}}
{{Lumatone key|x=5|y=1|label=c}}
{{Lumatone key|x=1|y=2|label=9/5}}
{{Lumatone key|x=2|y=2|label=13/12|size=10px}}
{{Lumatone key|x=3|y=2|label=9/7}}
{{Lumatone key|x=4|y=2|label=14/9|size=11px}}
{{Lumatone key|x=5|y=2|label=13/7|size=11px}}
{{Lumatone key|x=6|y=2|label=10/9|size=11px}}
{{Lumatone key|x=7|y=2|label=4/3}}
{{Lumatone key|x=8|y=2|label=8/5}}
{{Lumatone key|x=2|y=3|label=-c}}
{{Lumatone key|x=3|y=3|label=7/6}}
{{Lumatone key|x=4|y=3|label=7/5}}
{{Lumatone key|x=5|y=3|label=5/3}}
{{Lumatone key|x=6|y=3|label=1/1}}
{{Lumatone key|x=7|y=3|label=6/5}}
{{Lumatone key|x=8|y=3|label=10/7|size=11px}}
{{Lumatone key|x=9|y=3|label=12/7|size=11px}}
{{Lumatone key|x=10|y=3|label=c}}
{{Lumatone key|x=11|y=3|label=16/13|size=10px}}
{{Lumatone key|x=2|y=4|label=7/4}}
{{Lumatone key|x=3|y=4|label=d}}
{{Lumatone key|x=4|y=4|label=5/4}}
{{Lumatone key|x=5|y=4|label=3/2}}
{{Lumatone key|x=6|y=4|label=9/5}}
{{Lumatone key|x=7|y=4|label=13/12|size=10px}}
{{Lumatone key|x=8|y=4|label=9/7}}
{{Lumatone key|x=9|y=4|label=14/9|size=11px}}
{{Lumatone key|x=10|y=4|label=13/7|size=11px}}
{{Lumatone key|x=11|y=4|label=10/9|size=11px}}
{{Lumatone key|x=12|y=4|label=4/3}}
{{Lumatone key|x=13|y=4|label=8/5}}
{{Lumatone key|x=14|y=4|label=-d}}
{{Lumatone key|x=15|y=4|label=8/7}}
{{Lumatone key|x=3|y=5|label=15/8|size=11px}}
{{Lumatone key|x=4|y=5|label=9/8}}
{{Lumatone key|x=6|y=5|label=13/8|size=11px}}
{{Lumatone key|x=7|y=5|label=-c}}
{{Lumatone key|x=8|y=5|label=7/6}}
{{Lumatone key|x=9|y=5|label=7/5}}
{{Lumatone key|x=10|y=5|label=5/3}}
{{Lumatone key|x=11|y=5|label=1/1}}
{{Lumatone key|x=12|y=5|label=6/5}}
{{Lumatone key|x=13|y=5|label=10/7|size=11px}}
{{Lumatone key|x=14|y=5|label=12/7|size=11px}}
{{Lumatone key|x=15|y=5|label=c}}
{{Lumatone key|x=16|y=5|label=16/13|size=10px}}
{{Lumatone key|x=18|y=5|label=16/9|size=11px}}
{{Lumatone key|x=19|y=5|label=16/15|size=10px}}
{{Lumatone key|x=6|y=6|label=16/11|size=10px}}
{{Lumatone key|x=7|y=6|label=7/4}}
{{Lumatone key|x=8|y=6|label=d}}
{{Lumatone key|x=9|y=6|label=5/4}}
{{Lumatone key|x=10|y=6|label=3/2}}
{{Lumatone key|x=11|y=6|label=9/5}}
{{Lumatone key|x=12|y=6|label=13/12|size=10px}}
{{Lumatone key|x=13|y=6|label=9/7}}
{{Lumatone key|x=14|y=6|label=14/9|size=11px}}
{{Lumatone key|x=15|y=6|label=13/7|size=11px}}
{{Lumatone key|x=16|y=6|label=10/9|size=11px}}
{{Lumatone key|x=17|y=6|label=4/3}}
{{Lumatone key|x=18|y=6|label=8/5}}
{{Lumatone key|x=19|y=6|label=-d}}
{{Lumatone key|x=20|y=6|label=8/7}}
{{Lumatone key|x=21|y=6|label=11/8|size=11px}}
{{Lumatone key|x=4|y=7|label=20/11|size=10px}}
{{Lumatone key|x=5|y=7|label=12/11|size=10px}}
{{Lumatone key|x=8|y=7|label=15/8|size=11px}}
{{Lumatone key|x=9|y=7|label=9/8}}
{{Lumatone key|x=11|y=7|label=13/8|size=11px}}
{{Lumatone key|x=12|y=7|label=-c}}
{{Lumatone key|x=13|y=7|label=7/6}}
{{Lumatone key|x=14|y=7|label=7/5}}
{{Lumatone key|x=15|y=7|label=5/3}}
{{Lumatone key|x=16|y=7|label=1/1}}
{{Lumatone key|x=17|y=7|label=6/5}}
{{Lumatone key|x=18|y=7|label=10/7|size=11px}}
{{Lumatone key|x=19|y=7|label=12/7|size=11px}}
{{Lumatone key|x=20|y=7|label=c}}
{{Lumatone key|x=21|y=7|label=16/13|size=10px}}
{{Lumatone key|x=23|y=7|label=16/9|size=11px}}
{{Lumatone key|x=24|y=7|label=16/15|size=10px}}
{{Lumatone key|x=4|y=8|label=18/11|size=10px}}
{{Lumatone key|x=6|y=8|label=13/11|size=10px}}
{{Lumatone key|x=11|y=8|label=16/11|size=10px}}
{{Lumatone key|x=12|y=8|label=7/4}}
{{Lumatone key|x=13|y=8|label=d}}
{{Lumatone key|x=14|y=8|label=5/4}}
{{Lumatone key|x=15|y=8|label=3/2}}
{{Lumatone key|x=16|y=8|label=9/5}}
{{Lumatone key|x=17|y=8|label=13/12|size=10px}}
{{Lumatone key|x=18|y=8|label=9/7}}
{{Lumatone key|x=19|y=8|label=14/9|size=11px}}
{{Lumatone key|x=20|y=8|label=13/7|size=11px}}
{{Lumatone key|x=21|y=8|label=10/9|size=11px}}
{{Lumatone key|x=22|y=8|label=4/3}}
{{Lumatone key|x=23|y=8|label=8/5}}
{{Lumatone key|x=24|y=8|label=-d}}
{{Lumatone key|x=25|y=8|label=8/7}}
{{Lumatone key|x=26|y=8|label=11/8|size=11px}}
{{Lumatone key|x=7|y=9|label=14/11|size=10px}}
{{Lumatone key|x=9|y=9|label=20/11|size=10px}}
{{Lumatone key|x=10|y=9|label=12/11|size=10px}}
{{Lumatone key|x=13|y=9|label=15/8|size=11px}}
{{Lumatone key|x=14|y=9|label=9/8}}
{{Lumatone key|x=16|y=9|label=13/8|size=11px}}
{{Lumatone key|x=17|y=9|label=-c}}
{{Lumatone key|x=18|y=9|label=7/6}}
{{Lumatone key|x=19|y=9|label=7/5}}
{{Lumatone key|x=20|y=9|label=5/3}}
{{Lumatone key|x=21|y=9|label=1/1}}
{{Lumatone key|x=22|y=9|label=6/5}}
{{Lumatone key|x=23|y=9|label=10/7|size=11px}}
{{Lumatone key|x=24|y=9|label=12/7|size=11px}}
{{Lumatone key|x=25|y=9|label=c}}
{{Lumatone key|x=26|y=9|label=16/13|size=10px}}
{{Lumatone key|x=28|y=9|label=16/9|size=11px}}
{{Lumatone key|x=29|y=9|label=16/15|size=10px}}
{{Lumatone key|x=32|y=9|label=11/6|size=11px}}
{{Lumatone key|x=33|y=9|label=11/10|size=10px}}
{{Lumatone key|x=9|y=10|label=18/11|size=10px}}
{{Lumatone key|x=11|y=10|label=13/11|size=10px}}
{{Lumatone key|x=16|y=10|label=16/11|size=10px}}
{{Lumatone key|x=17|y=10|label=7/4}}
{{Lumatone key|x=18|y=10|label=d}}
{{Lumatone key|x=19|y=10|label=5/4}}
{{Lumatone key|x=20|y=10|label=3/2}}
{{Lumatone key|x=21|y=10|label=9/5}}
{{Lumatone key|x=22|y=10|label=13/12|size=10px}}
{{Lumatone key|x=23|y=10|label=9/7}}
{{Lumatone key|x=24|y=10|label=14/9|size=11px}}
{{Lumatone key|x=25|y=10|label=13/7|size=11px}}
{{Lumatone key|x=26|y=10|label=10/9|size=11px}}
{{Lumatone key|x=27|y=10|label=4/3}}
{{Lumatone key|x=28|y=10|label=8/5}}
{{Lumatone key|x=29|y=10|label=-d}}
{{Lumatone key|x=30|y=10|label=8/7}}
{{Lumatone key|x=31|y=10|label=11/8|size=11px}}
{{Lumatone key|x=14|y=11|label=20/11|size=10px}}
{{Lumatone key|x=15|y=11|label=12/11|size=10px}}
{{Lumatone key|x=18|y=11|label=15/8|size=11px}}
{{Lumatone key|x=19|y=11|label=9/8}}
{{Lumatone key|x=21|y=11|label=13/8|size=11px}}
{{Lumatone key|x=22|y=11|label=-c}}
{{Lumatone key|x=23|y=11|label=7/6}}
{{Lumatone key|x=24|y=11|label=7/5}}
{{Lumatone key|x=25|y=11|label=5/3}}
{{Lumatone key|x=26|y=11|label=1/1}}
{{Lumatone key|x=27|y=11|label=6/5}}
{{Lumatone key|x=28|y=11|label=10/7|size=11px}}
{{Lumatone key|x=29|y=11|label=12/7|size=11px}}
{{Lumatone key|x=30|y=11|label=c}}
{{Lumatone key|x=31|y=11|label=16/13|size=10px}}
{{Lumatone key|x=33|y=11|label=16/9|size=11px}}
{{Lumatone key|x=34|y=11|label=16/15|size=10px}}
{{Lumatone key|x=16|y=12|label=13/11|size=10px}}
{{Lumatone key|x=21|y=12|label=16/11|size=10px}}
{{Lumatone key|x=22|y=12|label=7/4}}
{{Lumatone key|x=23|y=12|label=d}}
{{Lumatone key|x=24|y=12|label=5/4}}
{{Lumatone key|x=25|y=12|label=3/2}}
{{Lumatone key|x=26|y=12|label=9/5}}
{{Lumatone key|x=27|y=12|label=13/12|size=10px}}
{{Lumatone key|x=28|y=12|label=9/7}}
{{Lumatone key|x=29|y=12|label=14/9|size=11px}}
{{Lumatone key|x=30|y=12|label=13/7|size=11px}}
{{Lumatone key|x=31|y=12|label=10/9|size=11px}}
{{Lumatone key|x=32|y=12|label=4/3}}
{{Lumatone key|x=33|y=12|label=8/5}}
{{Lumatone key|x=34|y=12|label=-d}}
{{Lumatone key|x=35|y=12|label=8/7}}
{{Lumatone key|x=20|y=13|label=12/11|size=10px}}
{{Lumatone key|x=23|y=13|label=15/8|size=11px}}
{{Lumatone key|x=24|y=13|label=9/8}}
{{Lumatone key|x=26|y=13|label=13/8|size=11px}}
{{Lumatone key|x=27|y=13|label=-c}}
{{Lumatone key|x=28|y=13|label=7/6}}
{{Lumatone key|x=29|y=13|label=7/5}}
{{Lumatone key|x=30|y=13|label=5/3}}
{{Lumatone key|x=31|y=13|label=1/1}}
{{Lumatone key|x=32|y=13|label=6/5}}
{{Lumatone key|x=33|y=13|label=10/7|size=11px}}
{{Lumatone key|x=34|y=13|label=12/7|size=11px}}
{{Lumatone key|x=35|y=13|label=c}}
{{Lumatone key|x=36|y=13|label=16/13|size=10px}}
{{Lumatone key|x=26|y=14|label=16/11|size=10px}}
{{Lumatone key|x=27|y=14|label=7/4}}
{{Lumatone key|x=28|y=14|label=d}}
{{Lumatone key|x=29|y=14|label=5/4}}
{{Lumatone key|x=30|y=14|label=3/2}}
{{Lumatone key|x=31|y=14|label=9/5}}
{{Lumatone key|x=32|y=14|label=13/12|size=10px}}
{{Lumatone key|x=33|y=14|label=9/7}}
{{Lumatone key|x=34|y=14|label=14/9|size=11px}}
{{Lumatone key|x=35|y=14|label=13/7|size=11px}}
{{Lumatone key|x=36|y=14|label=10/9|size=11px}}
{{Lumatone key|x=28|y=15|label=15/8|size=11px}}
{{Lumatone key|x=29|y=15|label=9/8}}
{{Lumatone key|x=31|y=15|label=13/8|size=11px}}
{{Lumatone key|x=32|y=15|label=-c}}
{{Lumatone key|x=33|y=15|label=7/6}}
{{Lumatone key|x=34|y=15|label=7/5}}
{{Lumatone key|x=35|y=15|label=5/3}}
{{Lumatone key|x=36|y=15|label=1/1}}
{{Lumatone key|x=37|y=15|label=6/5}}
{{Lumatone key|x=31|y=16|label=16/11|size=10px}}
{{Lumatone key|x=32|y=16|label=7/4}}
{{Lumatone key|x=33|y=16|label=d}}
{{Lumatone key|x=34|y=16|label=5/4}}
{{Lumatone key|x=35|y=16|label=3/2}}
{{Lumatone key|x=36|y=16|label=9/5}}
{{Lumatone key|x=37|y=16|label=13/12|size=10px}}
{{Lumatone key|x=34|y=17|label=9/8}}
{{Lumatone key|x=36|y=17|label=13/8|size=11px}}
{{Lumatone key|x=37|y=17|label=-c}}
{{Lumatone key|x=38|y=17|label=7/6}}
{{Lumatone key|x=37|y=18|label=7/4}}
{{Lumatone key|x=38|y=18|label=d}}
}}
=== Sensis mapping ===
Note the following equivalences in [[Sensipent family #Sensis|sensis]] temperament, meaning that a key labeled with one of the ratios actually represents others:
* 15/14 ~ 14/13 ~ 13/12 ~ 12/11
* 11/10 ~ 10/9
* 15/13 ~ 7/6 ~ 13/11
* 11/9 ~ 16/13
* 9/7 ~ 13/10
* 5/4 ~ 14/11
* 11/8 ~ 18/13 ~ 7/5
* 10/7 ~ 13/9 ~ 16/11
* 13/8 ~ 18/11
* 11/7 ~ 8/5
* 20/13 ~ 14/9
* 22/13 ~ 12/7 ~ 26/15
* 9/5 ~ 20/11
* 11/6 ~ 24/13 ~ 13/7 ~ 28/15
The letter d refers to diminished sen-2nd (representing 21/20 ~ 25/24 ~ 27/26 ~ 33/32), and the letter c refers to the chroma (representing 26/25 ~ 28/27 ~ 36/35 ~ 40/39).
{{Lumatone mapping|
{{Lumatone key|x=0|y=0|label=11/6|size=11px}}
{{Lumatone key|x=1|y=0|label=10/9|size=11px}}
{{Lumatone key|x=1|y=1|label=1/1}}
{{Lumatone key|x=2|y=1|label=6/5}}
{{Lumatone key|x=3|y=1|label=10/7|size=11px}}
{{Lumatone key|x=4|y=1|label=12/7|size=11px}}
{{Lumatone key|x=5|y=1|label=c}}
{{Lumatone key|x=1|y=2|label=9/5}}
{{Lumatone key|x=2|y=2|label=12/11|size=10px}}
{{Lumatone key|x=3|y=2|label=9/7}}
{{Lumatone key|x=4|y=2|label=14/9|size=11px}}
{{Lumatone key|x=5|y=2|label=11/6|size=11px}}
{{Lumatone key|x=6|y=2|label=10/9|size=11px}}
{{Lumatone key|x=7|y=2|label=4/3}}
{{Lumatone key|x=8|y=2|label=8/5}}
{{Lumatone key|x=2|y=3|label=-c}}
{{Lumatone key|x=3|y=3|label=7/6}}
{{Lumatone key|x=4|y=3|label=7/5}}
{{Lumatone key|x=5|y=3|label=5/3}}
{{Lumatone key|x=6|y=3|label=1/1}}
{{Lumatone key|x=7|y=3|label=6/5}}
{{Lumatone key|x=8|y=3|label=10/7|size=11px}}
{{Lumatone key|x=9|y=3|label=12/7|size=11px}}
{{Lumatone key|x=10|y=3|label=c}}
{{Lumatone key|x=11|y=3|label=11/9|size=10px}}
{{Lumatone key|x=12|y=3|label=22/15|size=10px}}
{{Lumatone key|x=2|y=4|label=7/4}}
{{Lumatone key|x=3|y=4|label=d}}
{{Lumatone key|x=4|y=4|label=5/4}}
{{Lumatone key|x=5|y=4|label=3/2}}
{{Lumatone key|x=6|y=4|label=9/5}}
{{Lumatone key|x=7|y=4|label=12/11|size=10px}}
{{Lumatone key|x=8|y=4|label=9/7}}
{{Lumatone key|x=9|y=4|label=14/9|size=11px}}
{{Lumatone key|x=10|y=4|label=11/6|size=11px}}
{{Lumatone key|x=11|y=4|label=10/9|size=11px}}
{{Lumatone key|x=12|y=4|label=4/3}}
{{Lumatone key|x=13|y=4|label=8/5}}
{{Lumatone key|x=14|y=4|label=-d}}
{{Lumatone key|x=15|y=4|label=8/7}}
{{Lumatone key|x=3|y=5|label=15/8|size=11px}}
{{Lumatone key|x=4|y=5|label=9/8}}
{{Lumatone key|x=5|y=5|label=15/11|size=10px}}
{{Lumatone key|x=6|y=5|label=13/8|size=11px}}
{{Lumatone key|x=7|y=5|label=-c}}
{{Lumatone key|x=8|y=5|label=7/6}}
{{Lumatone key|x=9|y=5|label=7/5}}
{{Lumatone key|x=10|y=5|label=5/3}}
{{Lumatone key|x=11|y=5|label=1/1}}
{{Lumatone key|x=12|y=5|label=6/5}}
{{Lumatone key|x=13|y=5|label=10/7|size=11px}}
{{Lumatone key|x=14|y=5|label=12/7|size=11px}}
{{Lumatone key|x=15|y=5|label=c}}
{{Lumatone key|x=16|y=5|label=11/9|size=10px}}
{{Lumatone key|x=17|y=5|label=22/15|size=10px}}
{{Lumatone key|x=18|y=5|label=16/9|size=11px}}
{{Lumatone key|x=19|y=5|label=16/15|size=10px}}
{{Lumatone key|x=7|y=6|label=7/4}}
{{Lumatone key|x=8|y=6|label=d}}
{{Lumatone key|x=9|y=6|label=5/4}}
{{Lumatone key|x=10|y=6|label=3/2}}
{{Lumatone key|x=11|y=6|label=9/5}}
{{Lumatone key|x=12|y=6|label=12/11|size=10px}}
{{Lumatone key|x=13|y=6|label=9/7}}
{{Lumatone key|x=14|y=6|label=14/9|size=11px}}
{{Lumatone key|x=15|y=6|label=11/6|size=11px}}
{{Lumatone key|x=16|y=6|label=10/9|size=11px}}
{{Lumatone key|x=17|y=6|label=4/3}}
{{Lumatone key|x=18|y=6|label=8/5}}
{{Lumatone key|x=19|y=6|label=-d}}
{{Lumatone key|x=20|y=6|label=8/7}}
{{Lumatone key|x=8|y=7|label=15/8|size=11px}}
{{Lumatone key|x=9|y=7|label=9/8}}
{{Lumatone key|x=10|y=7|label=15/11|size=10px}}
{{Lumatone key|x=11|y=7|label=13/8|size=11px}}
{{Lumatone key|x=12|y=7|label=-c}}
{{Lumatone key|x=13|y=7|label=7/6}}
{{Lumatone key|x=14|y=7|label=7/5}}
{{Lumatone key|x=15|y=7|label=5/3}}
{{Lumatone key|x=16|y=7|label=1/1}}
{{Lumatone key|x=17|y=7|label=6/5}}
{{Lumatone key|x=18|y=7|label=10/7|size=11px}}
{{Lumatone key|x=19|y=7|label=12/7|size=11px}}
{{Lumatone key|x=20|y=7|label=c}}
{{Lumatone key|x=21|y=7|label=11/9|size=10px}}
{{Lumatone key|x=22|y=7|label=22/15|size=10px}}
{{Lumatone key|x=23|y=7|label=16/9|size=11px}}
{{Lumatone key|x=24|y=7|label=16/15|size=10px}}
{{Lumatone key|x=12|y=8|label=7/4}}
{{Lumatone key|x=13|y=8|label=d}}
{{Lumatone key|x=14|y=8|label=5/4}}
{{Lumatone key|x=15|y=8|label=3/2}}
{{Lumatone key|x=16|y=8|label=9/5}}
{{Lumatone key|x=17|y=8|label=12/11|size=10px}}
{{Lumatone key|x=18|y=8|label=9/7}}
{{Lumatone key|x=19|y=8|label=14/9|size=11px}}
{{Lumatone key|x=20|y=8|label=11/6|size=11px}}
{{Lumatone key|x=21|y=8|label=10/9|size=11px}}
{{Lumatone key|x=22|y=8|label=4/3}}
{{Lumatone key|x=23|y=8|label=8/5}}
{{Lumatone key|x=24|y=8|label=-d}}
{{Lumatone key|x=25|y=8|label=8/7}}
{{Lumatone key|x=13|y=9|label=15/8|size=11px}}
{{Lumatone key|x=14|y=9|label=9/8}}
{{Lumatone key|x=15|y=9|label=15/11|size=10px}}
{{Lumatone key|x=16|y=9|label=13/8|size=11px}}
{{Lumatone key|x=17|y=9|label=-c}}
{{Lumatone key|x=18|y=9|label=7/6}}
{{Lumatone key|x=19|y=9|label=7/5}}
{{Lumatone key|x=20|y=9|label=5/3}}
{{Lumatone key|x=21|y=9|label=1/1}}
{{Lumatone key|x=22|y=9|label=6/5}}
{{Lumatone key|x=23|y=9|label=10/7|size=11px}}
{{Lumatone key|x=24|y=9|label=12/7|size=11px}}
{{Lumatone key|x=25|y=9|label=c}}
{{Lumatone key|x=26|y=9|label=11/9|size=10px}}
{{Lumatone key|x=27|y=9|label=22/15|size=10px}}
{{Lumatone key|x=28|y=9|label=16/9|size=11px}}
{{Lumatone key|x=29|y=9|label=16/15|size=10px}}
{{Lumatone key|x=17|y=10|label=7/4}}
{{Lumatone key|x=18|y=10|label=d}}
{{Lumatone key|x=19|y=10|label=5/4}}
{{Lumatone key|x=20|y=10|label=3/2}}
{{Lumatone key|x=21|y=10|label=9/5}}
{{Lumatone key|x=22|y=10|label=12/11|size=10px}}
{{Lumatone key|x=23|y=10|label=9/7}}
{{Lumatone key|x=24|y=10|label=14/9|size=11px}}
{{Lumatone key|x=25|y=10|label=11/6|size=11px}}
{{Lumatone key|x=26|y=10|label=10/9|size=11px}}
{{Lumatone key|x=27|y=10|label=4/3}}
{{Lumatone key|x=28|y=10|label=8/5}}
{{Lumatone key|x=29|y=10|label=-d}}
{{Lumatone key|x=30|y=10|label=8/7}}
{{Lumatone key|x=18|y=11|label=15/8|size=11px}}
{{Lumatone key|x=19|y=11|label=9/8}}
{{Lumatone key|x=20|y=11|label=15/11|size=10px}}
{{Lumatone key|x=21|y=11|label=13/8|size=11px}}
{{Lumatone key|x=22|y=11|label=-c}}
{{Lumatone key|x=23|y=11|label=7/6}}
{{Lumatone key|x=24|y=11|label=7/5}}
{{Lumatone key|x=25|y=11|label=5/3}}
{{Lumatone key|x=26|y=11|label=1/1}}
{{Lumatone key|x=27|y=11|label=6/5}}
{{Lumatone key|x=28|y=11|label=10/7|size=11px}}
{{Lumatone key|x=29|y=11|label=12/7|size=11px}}
{{Lumatone key|x=30|y=11|label=c}}
{{Lumatone key|x=31|y=11|label=11/9|size=10px}}
{{Lumatone key|x=32|y=11|label=22/15|size=10px}}
{{Lumatone key|x=33|y=11|label=16/9|size=11px}}
{{Lumatone key|x=34|y=11|label=16/15|size=10px}}
{{Lumatone key|x=22|y=12|label=7/4}}
{{Lumatone key|x=23|y=12|label=d}}
{{Lumatone key|x=24|y=12|label=5/4}}
{{Lumatone key|x=25|y=12|label=3/2}}
{{Lumatone key|x=26|y=12|label=9/5}}
{{Lumatone key|x=27|y=12|label=12/11|size=10px}}
{{Lumatone key|x=28|y=12|label=9/7}}
{{Lumatone key|x=29|y=12|label=14/9|size=11px}}
{{Lumatone key|x=30|y=12|label=11/6|size=11px}}
{{Lumatone key|x=31|y=12|label=10/9|size=11px}}
{{Lumatone key|x=32|y=12|label=4/3}}
{{Lumatone key|x=33|y=12|label=8/5}}
{{Lumatone key|x=34|y=12|label=-d}}
{{Lumatone key|x=35|y=12|label=8/7}}
{{Lumatone key|x=23|y=13|label=15/8|size=11px}}
{{Lumatone key|x=24|y=13|label=9/8}}
{{Lumatone key|x=25|y=13|label=15/11|size=10px}}
{{Lumatone key|x=26|y=13|label=13/8|size=11px}}
{{Lumatone key|x=27|y=13|label=-c}}
{{Lumatone key|x=28|y=13|label=7/6}}
{{Lumatone key|x=29|y=13|label=7/5}}
{{Lumatone key|x=30|y=13|label=5/3}}
{{Lumatone key|x=31|y=13|label=1/1}}
{{Lumatone key|x=32|y=13|label=6/5}}
{{Lumatone key|x=33|y=13|label=10/7|size=11px}}
{{Lumatone key|x=34|y=13|label=12/7|size=11px}}
{{Lumatone key|x=35|y=13|label=c}}
{{Lumatone key|x=36|y=13|label=11/9|size=10px}}
{{Lumatone key|x=27|y=14|label=7/4}}
{{Lumatone key|x=28|y=14|label=d}}
{{Lumatone key|x=29|y=14|label=5/4}}
{{Lumatone key|x=30|y=14|label=3/2}}
{{Lumatone key|x=31|y=14|label=9/5}}
{{Lumatone key|x=32|y=14|label=12/11|size=10px}}
{{Lumatone key|x=33|y=14|label=9/7}}
{{Lumatone key|x=34|y=14|label=14/9|size=11px}}
{{Lumatone key|x=35|y=14|label=11/6|size=11px}}
{{Lumatone key|x=36|y=14|label=10/9|size=11px}}
{{Lumatone key|x=28|y=15|label=15/8|size=11px}}
{{Lumatone key|x=29|y=15|label=9/8}}
{{Lumatone key|x=30|y=15|label=15/11|size=10px}}
{{Lumatone key|x=31|y=15|label=13/8|size=11px}}
{{Lumatone key|x=32|y=15|label=-c}}
{{Lumatone key|x=33|y=15|label=7/6}}
{{Lumatone key|x=34|y=15|label=7/5}}
{{Lumatone key|x=35|y=15|label=5/3}}
{{Lumatone key|x=36|y=15|label=1/1}}
{{Lumatone key|x=37|y=15|label=6/5}}
{{Lumatone key|x=32|y=16|label=7/4}}
{{Lumatone key|x=33|y=16|label=d}}
{{Lumatone key|x=34|y=16|label=5/4}}
{{Lumatone key|x=35|y=16|label=3/2}}
{{Lumatone key|x=36|y=16|label=9/5}}
{{Lumatone key|x=37|y=16|label=12/11|size=10px}}
{{Lumatone key|x=34|y=17|label=9/8}}
{{Lumatone key|x=35|y=17|label=15/11|size=10px}}
{{Lumatone key|x=36|y=17|label=13/8|size=11px}}
{{Lumatone key|x=37|y=17|label=-c}}
{{Lumatone key|x=38|y=17|label=7/6}}
{{Lumatone key|x=37|y=18|label=7/4}}
{{Lumatone key|x=38|y=18|label=d}}
}}
}}


Revision as of 11:52, 5 May 2022

This Lumatone keyboard mapping is for temperaments shaped like sensi, which divides 5/3 into two equal parts resulting in a 3L 5s scale. The notation used here is that J-Q is Sensi[8], JKLMNOPQJ = sLssLsLs where L (major sen-2nd) represents 10/9 and s (minor sen-2nd) represents 13/12 ~ 14/13 ~ 15/14, and &/@ indicates up/down by chroma, which represents 28/27 ~ 36/35 ~ 40/39.

Q
K&
J
L
N&
P&
J&
Q@
K
M
O
Q
K&
M&
O&
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
M&
O&
Q&
N@
P@
J@
L@
N
P
J
L
N&
P&
J&
L&
K@
M@
O@
Q@
K
M
O
Q
K&
N@
P@
J@
L@
N
P
J
L
K@
M@
O@
Q@
K
N@
P@
J@
L@

Locations of tonality diamond

Sensor mapping

Note the following equivalences in sensor temperament, meaning that a key labeled with one of the ratios actually represents others:

  • 15/14 ~ 14/13 ~ 13/12
  • 15/13 ~ 7/6
  • 9/7 ~ 13/10
  • 18/13 ~ 7/5
  • 10/7 ~ 13/9
  • 20/13 ~ 14/9
  • 12/7 ~ 26/15
  • 24/13 ~ 13/7 ~ 28/15

The letter d refers to diminished sen-2nd (representing 21/20 ~ 25/24 ~ 27/26), and the letter c refers to the chroma (representing 26/25 ~ 28/27 ~ 33/32 ~ 36/35 ~ 40/39).

13/7
10/9
1/1
6/5
10/7
12/7
c
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
11/8
20/11
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
18/11
13/11
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
11/8
14/11
20/11
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
11/6
11/10
18/11
13/11
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
11/8
20/11
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/9
16/15
13/11
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
4/3
8/5
-d
8/7
12/11
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
16/13
16/11
7/4
d
5/4
3/2
9/5
13/12
9/7
14/9
13/7
10/9
15/8
9/8
13/8
-c
7/6
7/5
5/3
1/1
6/5
16/11
7/4
d
5/4
3/2
9/5
13/12
9/8
13/8
-c
7/6
7/4
d

Sensis mapping

Note the following equivalences in sensis temperament, meaning that a key labeled with one of the ratios actually represents others:

  • 15/14 ~ 14/13 ~ 13/12 ~ 12/11
  • 11/10 ~ 10/9
  • 15/13 ~ 7/6 ~ 13/11
  • 11/9 ~ 16/13
  • 9/7 ~ 13/10
  • 5/4 ~ 14/11
  • 11/8 ~ 18/13 ~ 7/5
  • 10/7 ~ 13/9 ~ 16/11
  • 13/8 ~ 18/11
  • 11/7 ~ 8/5
  • 20/13 ~ 14/9
  • 22/13 ~ 12/7 ~ 26/15
  • 9/5 ~ 20/11
  • 11/6 ~ 24/13 ~ 13/7 ~ 28/15

The letter d refers to diminished sen-2nd (representing 21/20 ~ 25/24 ~ 27/26 ~ 33/32), and the letter c refers to the chroma (representing 26/25 ~ 28/27 ~ 36/35 ~ 40/39).

11/6
10/9
1/1
6/5
10/7
12/7
c
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
22/15
16/9
16/15
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
4/3
8/5
-d
8/7
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
10/7
12/7
c
11/9
7/4
d
5/4
3/2
9/5
12/11
9/7
14/9
11/6
10/9
15/8
9/8
15/11
13/8
-c
7/6
7/5
5/3
1/1
6/5
7/4
d
5/4
3/2
9/5
12/11
9/8
15/11
13/8
-c
7/6
7/4
d
Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_sensi&oldid=91716"