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'''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. | '''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). | ||
== | == Patent Intervals == | ||
{| class="wikitable" | {| class="wikitable" | ||
| | |||
!Optimal | |||
!Alternating edo and *ed(9/8) a | |||
!Alternating edo and *ed(9/8) b | |||
|- | |- | ||
|1 | |1 | ||
|140.391 | |140.391 | ||
|150.000 | |||
|133.333 | |||
|- | |- | ||
|2 | |2 | ||
|280.782 | |280.782 | ||
|300.000 | |||
|266.667 | |||
|- | |- | ||
|3 | |3 | ||
|421.173 | |421.173 | ||
|450.000 | |||
|400.000 | |||
|- | |- | ||
|4 | |4 | ||
|561.564 | |561.564 | ||
|600.000 | |||
|533.333 | |||
|- | |- | ||
|5 | |5 | ||
|701.955 | |701.955 | ||
|750.000 | |||
|666.667 | |||
|- | |- | ||
|6 | |6 | ||
|826.466 | |826.466 | ||
|900.000 | |||
|800.000 | |||
|- | |- | ||
|7 | |7 | ||
|950. | |950.978 | ||
|1050.000 | |||
|933.333 | |||
|- | |- | ||
|8 | |8 | ||
|1075. | |1075.489 | ||
|1200.000 | |||
|1066.667 | |||
|- | |- | ||
|9 | |9 | ||
|1200 | |1200.000 | ||
|1301.955 | |||
|1200.000 | |||
|- | |- | ||
|10 | |10 | ||
|1324.511 | |1324.511 | ||
! colspan="2" |1403.910 | |||
|} | |} | ||
[[Category:Well tempered nonet]] | |||
{{todo|clarify|inline=1}} | |||