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
  1. a WT approach by J. Ruhf
  2. 4 EDF + 3ED(4/3)
  3. 7 EDO + 1ED(9/8)