User:Moremajorthanmajor/12wtn
(Redirected from 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 |