User:Moremajorthanmajor/8wtn
8WTN is optimally the equal division of the just perfect fifth into four parts of 175.48875 cents each alternated with a sequence of four equal steps of another interval between 150 and 200 cents in its patent tunings. Its best tunings are related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.
Patent Intervals
| Optimal | Alternating edo and *ed(9/8) | |
|---|---|---|
| 1 | 175.48875 | 171.429 |
| 2 | 350.9775 | 342.857 |
| 3 | 526.46625 | 514.286 |
| 4 | 701.955 | 685.714 |
| 5 | 867.97 | 857.143 |
| 6 | 1032.985 | 1028.571 |
| 7 | 1200 | |
| 8 | 1366.015 | 1403.91 |
|
Todo: clarify, unify precision |