User:Moremajorthanmajor/8wtn: Difference between revisions
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8WTN is optimally 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. | '''8WTN''' is optimally 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. | ||
== | == Patent Intervals == | ||
{| class="wikitable" | {| class="wikitable" | ||
| | |||
!Optimal | |||
!Alternating [[EDO|edo]] and *ed(9/8) | |||
|- | |- | ||
|1 | |1 | ||
|175.48875 | |175.48875 | ||
|171.429 | |||
|- | |- | ||
|2 | |2 | ||
|350.9775 | |350.9775 | ||
|342.857 | |||
|- | |- | ||
|3 | |3 | ||
|526.46625 | |526.46625 | ||
|514.286 | |||
|- | |- | ||
|4 | |4 | ||
|701.955 | |701.955 | ||
|685.714 | |||
|- | |- | ||
|5 | |5 | ||
|867.97 | |867.97 | ||
|857.143 | |||
|- | |- | ||
|6 | |6 | ||
|1032.985 | |1032.985 | ||
|1028.571 | |||
|- | |- | ||
!7 | |||
|1200 | ! colspan="2" |1200 | ||
|- | |- | ||
|8 | |8 | ||
|1366.015 | |1366.015 | ||
|1403.91 | |||
|} | |} | ||