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
|
|
|
Fifths
|
| 1
|
697.8948
|
| 2
|
693.8346
|
| 3
|
689.7745
|
| 4
|
685.7143
|
| 5
|
689.7745
|
| 6
|
693.8346
|
| 7
|
697.8948
|
| 8
|
701.955
|