12wtn

12WTN is optimally the equal division of the just perfect fifth into six parts of 116.9925 cents each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents in its patent tunings. It is also the largest wtn with a patent tuning which alternates an edo and 9/8 and the wtn with a patent tuning related to an equal division of the smallest “wolf” nonet (1309.091 cents).

Patent Intervals

	Target a	Target b	Alternating edo and *ed(9/8) a	Alternating edo and *ed(9/8) b
1	116.9925		120	109.0909
2	233.985		240	218.1818
3	350.9775		360	327.2727
4	467.97		480	436.3636
5	584.9625		600	545.45455
6	701.955		720	654.54545
7	826.46625	801.564	840	763.6364
8	950.9775	901.173	960	872.7273
9	1075.48875	1000.782	1080	981.8182
10	1200	1101.391	1200	1090.9091
11	1324.51125	1200	1301.955	1200
12	1449.0225	1299.609	1403.91

Todo: clarify, unify precision