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 |
