8wtn
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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 | 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 |