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]]s 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<ref>a WT approach by J. Ruhf</ref> ==
-== Patent Intervals ==
 {| class="wikitable"
 |
-!Optimal
+! Optimal<ref>[[4 EDF]] + 3ED(4/3)</ref>
-!Alternating [[EDO|edo]] and *ed(9/8)
+! Alternating EDO and *ed(9/8)<ref>[[7 EDO]] + 9/8</ref>
 |-
-|1
+| 1
-|175.48875
+| 175.48875
-|171.429
+| 171.429
 |-
-|2
+| 2
-|350.9775
+| 350.9775
-|342.857
+| 342.857
 |-
-|3
+| 3
-|526.46625
+| 526.46625
-|514.286
+| 514.286
 |-
-|4
+| 4
-|701.955
+| 701.955
-|685.714
+| 685.714
 |-
-|5
+| 5
-|867.97
+| 867.97
-|857.143
+| 857.143
 |-
-|6
+| 6
-|1032.985
+| 1032.985
-|1028.571
+| 1028.571
 |-
-!7
+| 7
-! colspan="2" |1200
+| colspan="2" style="text-align:center" | 1200
 |-
-|8
+| 8
-|1366.015
+| 1366.015
-|1403.91
+| 1403.91
 |}
+<references/>
 [[Category:Well tempered nonet]]
-{{todo|clarify|unify precision|inline=1}}
+{{todo|unify precision}}