User:Moremajorthanmajor/10wtn: Difference between revisions

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-'''10WTN''' is the [[EDF|equal division of the just perfect fifth]] into five parts of 140.391 [[cent|cents]] each alternated with a sequence of five equal steps of another interval between 120 and 160 cents in its patent tunings.
+'''10WTN''' is optimally the [[EDF|equal division of the just perfect fifth]] into five parts of 140.391 [[cent|cents]] each alternated with a sequence of five equal steps of another interval between 120 and 160 cents in its patent tunings. It is also the smallest wtn with two patent tunings which alternate an [[EDO|edo]] and an *ed(9/8).
-== Optimal Intervals ==
+== Patent Intervals ==
 {| class="wikitable"
-!
+|
-!Minimum
+!Optimal
-!Maximum
+!Alternating edo and *ed(9/8) a
-![5\9 124.511¢]
+!Alternating edo and *ed(9/8) b
 |-
-!1
+|1
-! colspan="3" |140.391
+|140.391
+|150.000
+|133.333
 |-
-!2
+|2
-! colspan="3" |280.782
+|280.782
+|300.000
+|266.667
 |-
-!3
+|3
-! colspan="3" |421.173
+|421.173
+|450.000
+|400.000
 |-
-!4
+|4
-! colspan="3" |561.564
+|561.564
+|600.000
+|533.333
 |-
-!5
+|5
-! colspan="3" |701.955
+|701.955
+|750.000
+|666.667
 |-
 |6
-|821.955
-|830.526
 |826.466
+|900.000
+|800.000
 |-
 |7
-|941.955
+|950.978
-|959.098
+|1050.000
-|950.9775
+|933.333
 |-
 |8
-|1061.955
+|1075.489
-|1087.67
+|1200.000
-|1075.4885
+|1066.667
 |-
 |9
-|1181.955
+|1200.000
-|1216.241
+|1301.955
-|1200
+|1200.000
 |-
 |10
-|1301.955
+|1324.511
-|1344.812
+! colspan="2" |1403.910
-|1333.333
 |}
+[[Category:Well tempered nonet]]
+{{todo|clarify|inline=1}}