Lumatone mapping for ennealimmal: Difference between revisions
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This mapping for [[ennealimmal]] temperament contains 1/1 in 4 different octaves, and contains the complete 9-limit tonality diamond in the middle octave. | |||
(Note that JI ratios are used for labels, even though ennealimmal is a temperament. Since ennealimmal is so remarkably accurate, this should not cause much confusion.) | |||
{{Lumatone mapping| | {{Lumatone mapping| | ||
| Line 6: | Line 8: | ||
{{Lumatone key|x=12|y=5|label=16/9}} | {{Lumatone key|x=12|y=5|label=16/9}} | ||
{{Lumatone key|x=13|y=5|label=48/25|size=10px}} | {{Lumatone key|x=13|y=5|label=48/25|size=10px}} | ||
{{Lumatone key|x=14|y=5|label=28/27|size=10px}} | |||
{{Lumatone key|x=15|y=5|label=28/25|size=10px}} | {{Lumatone key|x=15|y=5|label=28/25|size=10px}} | ||
{{Lumatone key|x=19|y=5|label=32/21|size=10px}} | {{Lumatone key|x=19|y=5|label=32/21|size=10px}} | ||
{{Lumatone key|x=19|y=6|label=40/27|size=10px}} | |||
{{Lumatone key|x=20|y=6|label=8/5}} | {{Lumatone key|x=20|y=6|label=8/5}} | ||
{{Lumatone key|x=22|y=6|label=28/15|size=10px}} | {{Lumatone key|x=22|y=6|label=28/15|size=10px}} | ||
| Line 16: | Line 20: | ||
{{Lumatone key|x=19|y=7|label=36/25|size=10px}} | {{Lumatone key|x=19|y=7|label=36/25|size=10px}} | ||
{{Lumatone key|x=20|y=7|label=14/9}} | {{Lumatone key|x=20|y=7|label=14/9}} | ||
{{Lumatone key|x=21|y=7|label=42/25|size=10px}} | |||
{{Lumatone key|x=14|y=8|label=40/21|size=10px}} | {{Lumatone key|x=14|y=8|label=40/21|size=10px}} | ||
{{Lumatone key|x=15|y=8|label=36/35|size=10px}} | |||
{{Lumatone key|x=16|y=8|label=10/9}} | {{Lumatone key|x=16|y=8|label=10/9}} | ||
{{Lumatone key|x=17|y=8|label=6/5}} | {{Lumatone key|x=17|y=8|label=6/5}} | ||
{{Lumatone key|x=19|y=8|label=7/5}} | {{Lumatone key|x=19|y=8|label=7/5}} | ||
{{Lumatone key|x=23|y=8|label=40/21|size=10px}} | {{Lumatone key|x=23|y=8|label=40/21|size=10px}} | ||
{{Lumatone key|x=24|y=8|label=36/35|size=10px}} | |||
{{Lumatone key|x=6|y=9|label=1/1}} | {{Lumatone key|x=6|y=9|label=1/1}} | ||
{{Lumatone key|x=14|y=9|label=50/27|size=10px}} | |||
{{Lumatone key|x=15|y=9|label=1/1}} | {{Lumatone key|x=15|y=9|label=1/1}} | ||
{{Lumatone key|x=16|y=9|label=27/25|size=10px}} | {{Lumatone key|x=16|y=9|label=27/25|size=10px}} | ||
{{Lumatone key|x=17|y=9|label=7/6}} | {{Lumatone key|x=17|y=9|label=7/6}} | ||
{{Lumatone key|x=18|y=9|label=(400)|size=10px}} | |||
{{Lumatone key|x=19|y=9|label=(533)|size=10px}} | |||
{{Lumatone key|x=20|y=9|label=(666)|size=10px}} | |||
{{Lumatone key|x=21|y=9|label=(800)|size=10px}} | |||
{{Lumatone key|x=22|y=9|label=12/7}} | {{Lumatone key|x=22|y=9|label=12/7}} | ||
{{Lumatone key|x=23|y=9|label=50/27|size=10px}} | |||
{{Lumatone key|x=24|y=9|label=1/1}} | {{Lumatone key|x=24|y=9|label=1/1}} | ||
{{Lumatone key|x=25|y=9|label=27/25|size=10px}} | |||
{{Lumatone key|x=33|y=9|label=1/1}} | {{Lumatone key|x=33|y=9|label=1/1}} | ||
{{Lumatone key|x=15|y=10|label=35/18|size=10px}} | |||
{{Lumatone key|x=16|y=10|label=21/20|size=10px}} | {{Lumatone key|x=16|y=10|label=21/20|size=10px}} | ||
{{Lumatone key|x=20|y=10|label=10/7}} | {{Lumatone key|x=20|y=10|label=10/7}} | ||
{{Lumatone key|x=22|y=10|label=5/3}} | {{Lumatone key|x=22|y=10|label=5/3}} | ||
{{Lumatone key|x=23|y=10|label=9/5}} | {{Lumatone key|x=23|y=10|label=9/5}} | ||
{{Lumatone key|x=24|y=10|label=35/18|size=10px}} | |||
{{Lumatone key|x=25|y=10|label=21/20|size=10px}} | {{Lumatone key|x=25|y=10|label=21/20|size=10px}} | ||
{{Lumatone key|x=16|y=11|label=49/48|size=10px}} | |||
{{Lumatone key|x=18|y=11|label=25/21|size=10px}} | |||
{{Lumatone key|x=19|y=11|label=9/7}} | {{Lumatone key|x=19|y=11|label=9/7}} | ||
{{Lumatone key|x=20|y=11|label=25/18|size=10px}} | {{Lumatone key|x=20|y=11|label=25/18|size=10px}} | ||
{{Lumatone key|x=21|y=11|label=3/2}} | {{Lumatone key|x=21|y=11|label=3/2}} | ||
{{Lumatone key|x=23|y=11|label=7/4}} | {{Lumatone key|x=23|y=11|label=7/4}} | ||
{{Lumatone key|x=25|y=11|label=49/48|size=10px}} | |||
{{Lumatone key|x=17|y=12|label=15/14|size=10px}} | {{Lumatone key|x=17|y=12|label=15/14|size=10px}} | ||
{{Lumatone key|x=19|y=12|label=5/4}} | {{Lumatone key|x=19|y=12|label=5/4}} | ||
{{Lumatone key|x=20|y=12|label=27/20|size=10px}} | |||
{{Lumatone key|x=20|y=13|label=21/16|size=10px}} | {{Lumatone key|x=20|y=13|label=21/16|size=10px}} | ||
{{Lumatone key|x=24|y=13|label=25/14|size=10px}} | {{Lumatone key|x=24|y=13|label=25/14|size=10px}} | ||
{{Lumatone key|x=25|y=13|label=27/14|size=10px}} | |||
{{Lumatone key|x=26|y=13|label=25/24|size=10px}} | {{Lumatone key|x=26|y=13|label=25/24|size=10px}} | ||
{{Lumatone key|x=27|y=13|label=9/8}} | {{Lumatone key|x=27|y=13|label=9/8}} | ||
{{Lumatone key|x=25|y=14|label=15/8}} | {{Lumatone key|x=25|y=14|label=15/8}} | ||
{{Lumatone key|x=26|y=14|label=81/80|size=10px}} | |||
}} | }} | ||
[[Category:Lumatone mappings]] | |||
[[Category:Ennealimmal]] | |||
Latest revision as of 08:12, 14 July 2025
This mapping for ennealimmal temperament contains 1/1 in 4 different octaves, and contains the complete 9-limit tonality diamond in the middle octave.
(Note that JI ratios are used for labels, even though ennealimmal is a temperament. Since ennealimmal is so remarkably accurate, this should not cause much confusion.)
16/15
16/9
48/25
28/27
28/25
32/21
40/27
8/5
28/15
8/7
4/3
36/25
14/9
42/25
40/21
36/35
10/9
6/5
7/5
40/21
36/35
1/1
50/27
1/1
27/25
7/6
(400)
(533)
(666)
(800)
12/7
50/27
1/1
27/25
1/1
35/18
21/20
10/7
5/3
9/5
35/18
21/20
49/48
25/21
9/7
25/18
3/2
7/4
49/48
15/14
5/4
27/20
21/16
25/14
27/14
25/24
9/8
15/8
81/80