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'''12WTN''' is the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents in its patent tunings. | '''12WTN''' is optimally the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents in its patent tunings. It is also the largest wtn with a patent tuning which alternates an [[EDO|edo]] and [[9/8]] and the wtn with a patent tuning related to an equal division of the smallest “wolf” nonet (1309.091 cents). | ||
== | == Patent Intervals == | ||
{| class="wikitable" | {| class="wikitable" | ||
| | | | ||
!Target a | !Target a | ||
!Target b | !Target b | ||
!Alternating edo and *ed(9/8) a | |||
!Alternating edo and *ed(9/8) b | |||
|- | |- | ||
|1 | |||
! colspan="2" |116.9925 | ! colspan="2" |116.9925 | ||
|120 | |||
|109.0909 | |||
|- | |- | ||
|2 | |||
! colspan="2" |233.985 | ! colspan="2" |233.985 | ||
|240 | |||
|218.1818 | |||
|- | |- | ||
|3 | |||
! colspan="2" |350.9775 | ! colspan="2" |350.9775 | ||
|360 | |||
|327.2727 | |||
|- | |- | ||
|4 | |||
! colspan="2" |467.97 | ! colspan="2" |467.97 | ||
|480 | |||
|436.3636 | |||
|- | |- | ||
|5 | |||
! colspan="2" |584.9625 | ! colspan="2" |584.9625 | ||
|600 | |||
|545.45455 | |||
|- | |- | ||
|6 | |||
! colspan="2" |701.955 | ! colspan="2" |701.955 | ||
|720 | |||
|654.54545 | |||
|- | |- | ||
|7 | |7 | ||
|826. | |826.46625 | ||
|801.564 | |801.564 | ||
|840 | |||
|763.6364 | |||
|- | |- | ||
|8 | |8 | ||
|950.9775 | |950.9775 | ||
|901.173 | |901.173 | ||
|960 | |||
|872.7273 | |||
|- | |- | ||
|9 | |9 | ||
|1075. | |1075.48875 | ||
|1000.782 | |1000.782 | ||
|1080 | |||
|981.8182 | |||
|- | |- | ||
|10 | |10 | ||
|1200 | |1200 | ||
|1101.391 | |1101.391 | ||
|1200 | |||
|1090.9091 | |||
|- | |- | ||
|11 | |11 | ||
|1324. | |1324.51125 | ||
|1200 | |||
|1301.955 | |||
|1200 | |1200 | ||
|- | |- | ||
|12 | |12 | ||
|1449. | |1449.0225 | ||
|1299.609 | |1299.609 | ||
! colspan="2" |1403.91 | |||
|} | |} | ||
[[Category:Well tempered nonet]] | |||