User:Moremajorthanmajor/8wtn: Difference between revisions
Jump to navigation
Jump to search
link 4EDF and 7EDO |
|||
| Line 6: | Line 6: | ||
| | | | ||
! Optimal<ref>[[4 EDF]] + 3ED(4/3)</ref> | ! Optimal<ref>[[4 EDF]] + 3ED(4/3)</ref> | ||
! Alternating EDO and *ed(9/8)<ref>[[7 EDO]] + | ! Alternating EDO and *ed(9/8)<ref>[[7 EDO]] + 9/8</ref> | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 13: | Line 13: | ||
|- | |- | ||
| 2 | | 2 | ||
| 350.9775 | | [[Tel:350.9775|350.9775]] | ||
| 342.857 | | 342.857 | ||
|- | |- | ||
Revision as of 23:03, 22 October 2022
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[1]
| Optimal[2] | Alternating EDO and *ed(9/8)[3] | |
|---|---|---|
| 1 | 175.48875 | 171.429 |
| 2 | [[1]] | 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 |