User:Moremajorthanmajor/8wtn: Difference between revisions
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8WTN is the [[EDF|equal division of the just perfect fifth]] into four parts of 175.48875 [[cent|cents]] each alternated with a sequence of four equal steps of another interval between 150 and 200 cents. Its best | 8WTN is the [[EDF|equal division of the just perfect fifth]] into four parts of 175.48875 [[cent|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 family|tetracot temperament]], which tempers out 20000/19683 in the 5-limit. | ||
== Optimal Intervals == | == Optimal Intervals == | ||
Revision as of 17:52, 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 | |
|---|---|---|
| 1 | 175.48875 | |
| 2 | 350.9775 | |
| 3 | 526.46625 | |
| 4 | 701.955 | |
| 5 | 861.955 | 873.3836 |
| 6 | 1021.955 | 1044.8121 |
| 7 | 1181.955 | 1216.2407 |
| 8 | 1341.955 | 1387.6693 |