User:Moremajorthanmajor/8wtn: Difference between revisions
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| Line 6: | Line 6: | ||
!Minimum | !Minimum | ||
!Maximum | !Maximum | ||
![4\7 166.015¢] | |||
|- | |- | ||
!1 | !1 | ||
! colspan=" | ! colspan="3" |175.48875 | ||
|- | |- | ||
!2 | !2 | ||
! colspan=" | ! colspan="3" |350.9775 | ||
|- | |- | ||
!3 | !3 | ||
! colspan=" | ! colspan="3" |526.46625 | ||
|- | |- | ||
!4 | !4 | ||
! colspan=" | ! colspan="3" |701.955 | ||
|- | |- | ||
|5 | |5 | ||
|861.955 | |861.955 | ||
|873.3836 | |873.3836 | ||
|867.97 | |||
|- | |- | ||
|6 | |6 | ||
|1021.955 | |1021.955 | ||
|1044.8121 | |1044.8121 | ||
|1032.985 | |||
|- | |- | ||
|7 | |7 | ||
|1181.955 | |1181.955 | ||
|1216.2407 | |1216.2407 | ||
|1200 | |||
|- | |- | ||
|8 | |8 | ||
|1341.955 | |1341.955 | ||
|1387.6693 | ! colspan="2" |1387.6693 | ||
|} | |} | ||
Revision as of 21:34, 31 May 2021
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 in its patent tunings. Its best tunings are related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.
Optimal Intervals
| Minimum | Maximum | [4\7 166.015¢] | |
|---|---|---|---|
| 1 | 175.48875 | ||
| 2 | 350.9775 | ||
| 3 | 526.46625 | ||
| 4 | 701.955 | ||
| 5 | 861.955 | 873.3836 | 867.97 |
| 6 | 1021.955 | 1044.8121 | 1032.985 |
| 7 | 1181.955 | 1216.2407 | 1200 |
| 8 | 1341.955 | 1387.6693 | |