User:Moremajorthanmajor/8wtn

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8WTN is 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. Its best tunings are related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.

Intervals

“fifth” 2 = 600¢ “nonet” = 1351.429¢ step 2 = 10/9 “nonet” = 1460¢ “fifth” 2 = 800¢
1 175.48875
2 350.9775
3 526.46625
4 701.955
5 851.955 864.3234 884.3587 891.46625 901.955
6 1001.955 1026.692 1066.7624 1080.9775 1101.955
7 1151.955 1189.0602 1249.1661 1270.48875 1301.955
8 1301.955 1351.429 1431.56985 1460 1501.955

Common Tuning

1 175.48875
2 350.9775
3 526.46625
4 701.955
5 873.3836
6 1044.8121
7 1216.2407
8 1387.6693