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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). 


== Optimal Intervals ==
== Patent Intervals ==
{| class="wikitable"
{| class="wikitable"
|
|
!Minimum a
!Target a
!Maximum a
!Target b
![3\5 124.511¢]
!Alternating edo and *ed(9/8) a
!Minimum b
!Alternating edo and *ed(9/8) b
!Maximum b
|-
|-
!1
|1
! colspan="5" |116.9925
! colspan="2" |116.9925
|120
|109.0909
|-
|-
!2
|2
! colspan="5" |233.985
! colspan="2" |233.985
|240
|218.1818
|-
|-
!3
|3
! colspan="5" |350.9775
! colspan="2" |350.9775
|360
|327.2727
|-
|-
!4
|4
! colspan="5" |467.97
! colspan="2" |467.97
|480
|436.3636
|-
|-
!5
|5
! colspan="5" |584.9625
! colspan="2" |584.9625
|600
|545.45455
|-
|-
!6
|6
! colspan="5" |701.955
! colspan="2" |701.955
|720
|654.54545
|-
|-
|7
|7
|821.955
|826.46625
|830.526
|801.564
|826.466
|840
|797.955
|763.6364
|804.812
|-
|-
|8
|8
|941.955
|959.098
|950.9775
|950.9775
|893.955
|901.173
|907.669
|960
|872.7273
|-
|-
|9
|9
|1061.955
|1075.48875
|1087.67
|1000.782
|1075.4885
|1080
|989.955
|981.8182
|1010.526
|-
|-
|10
|10
|1181.955
|1216.241
|1200
|1200
|1085.955
|1101.391
|1113.384
|1200
|1090.9091
|-
|-
|11
|11
|1324.51125
|1200
|1301.955
|1301.955
|1344.812
|1200
|1310.9775
|1181.955
|1216.241
|-
|-
|12
|12
|1421.955
|1449.0225
|1473.384
|1299.609
|1421.955
! colspan="2" |1403.91
|1277.955
|1319.098
|}
|}
[[Category:Well tempered nonet]]
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