User:Moremajorthanmajor/12wtn: Difference between revisions
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'''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 | '''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 == | == Patent Intervals == | ||
| Line 12: | Line 12: | ||
! colspan="2" |116.9925 | ! colspan="2" |116.9925 | ||
|120 | |120 | ||
|109. | |109.0909 | ||
|- | |- | ||
|2 | |2 | ||
! colspan="2" |233.985 | ! colspan="2" |233.985 | ||
|240 | |240 | ||
|218. | |218.1818 | ||
|- | |- | ||
|3 | |3 | ||
! colspan="2" |350.9775 | ! colspan="2" |350.9775 | ||
|360 | |360 | ||
|327. | |327.2727 | ||
|- | |- | ||
|4 | |4 | ||
! colspan="2" |467.97 | ! colspan="2" |467.97 | ||
|480 | |480 | ||
|436. | |436.3636 | ||
|- | |- | ||
|5 | |5 | ||
! colspan="2" |584.9625 | ! colspan="2" |584.9625 | ||
|600 | |600 | ||
|545. | |545.45455 | ||
|- | |- | ||
|6 | |6 | ||
! colspan="2" |701.955 | ! colspan="2" |701.955 | ||
|720 | |720 | ||
|654. | |654.54545 | ||
|- | |- | ||
|7 | |7 | ||
|826. | |826.46625 | ||
|801.564 | |801.564 | ||
|840 | |840 | ||
|763. | |763.6364 | ||
|- | |- | ||
|8 | |8 | ||
| Line 49: | Line 49: | ||
|901.173 | |901.173 | ||
|960 | |960 | ||
|872. | |872.7273 | ||
|- | |- | ||
|9 | |9 | ||
|1075. | |1075.48875 | ||
|1000.782 | |1000.782 | ||
|1080 | |1080 | ||
|981. | |981.8182 | ||
|- | |- | ||
|10 | |10 | ||
| Line 61: | Line 61: | ||
|1101.391 | |1101.391 | ||
|1200 | |1200 | ||
|1090. | |1090.9091 | ||
|- | |- | ||
|11 | |11 | ||
|1324. | |1324.51125 | ||
|1200 | |1200 | ||
|1301.955 | |1301.955 | ||
| Line 74: | Line 74: | ||
! colspan="2" |1403.91 | ! colspan="2" |1403.91 | ||
|} | |} | ||
[[Category:Well tempered nonet]] | |||