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A '''20 tone well tempered nonet''' (20WTN) is related to well temperaments of [[17edo | A '''20 tone well tempered nonet''' (20WTN) is related to well temperaments of [[17edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF|division of the just perfect fifth]] into 10 equal parts (10EDF) with sequences of ten equal steps of 60 to 80 cents each. This will create ten equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth. | ||
== Patent Intervals == | == Patent Intervals == | ||
| Line 5: | Line 5: | ||
|+ | |+ | ||
! | ! | ||
!Target | !Target | ||
!Alternating [[edo]] and *ed(9/8) | |||
!Alternating edo and *ed(9/8) | |||
|- | |- | ||
|1 | |1 | ||
|70.1955 | |||
|70.588 | |70.588 | ||
|- | |- | ||
|2 | |2 | ||
|140.391 | |||
|141.1765 | |141.1765 | ||
|- | |- | ||
|3 | |3 | ||
|210.5865 | |||
|211.765 | |211.765 | ||
|- | |- | ||
|4 | |4 | ||
|280.782 | |||
|282.353 | |282.353 | ||
|- | |- | ||
|5 | |5 | ||
|350.9775 | |||
|352.941 | |352.941 | ||
|- | |- | ||
|6 | |6 | ||
|421.173 | |||
|423.529 | |423.529 | ||
|- | |- | ||
|7 | |7 | ||
|491.3685 | |||
|494.118 | |494.118 | ||
|- | |- | ||
|8 | |8 | ||
|561.564 | |||
|564.706 | |564.706 | ||
|- | |- | ||
|9 | |9 | ||
|631.7595 | |||
|635.294 | |635.294 | ||
|- | |- | ||
|10 | |10 | ||
|701.955 | |||
|705.882 | |705.882 | ||
|- | |- | ||
|11 | |11 | ||
|773.104 | |773.104 | ||
|776.471 | |776.471 | ||
|- | |- | ||
|12 | |12 | ||
|844.254 | |844.254 | ||
|847.059 | |847.059 | ||
|- | |- | ||
|13 | |13 | ||
|915.403 | |915.403 | ||
|917.647 | |917.647 | ||
|- | |- | ||
|14 | |14 | ||
|986.552 | |986.552 | ||
|988.235 | |988.235 | ||
|- | |- | ||
|15 | |15 | ||
|1057.701 | |1057.701 | ||
|1058.8235 | |1058.8235 | ||
|- | |- | ||
|16 | |16 | ||
|1128.896 | |1128.896 | ||
|1129.412 | |1129.412 | ||
|- | |- | ||
|17 | |17 | ||
|1200 | ! colspan="2" |1200 | ||
|- | |- | ||
|18 | |18 | ||
|1271.149 | |1271.149 | ||
|1267.97 | |1267.97 | ||
|- | |- | ||
|19 | |19 | ||
|1342.299 | |1342.299 | ||
|1333.94 | |1333.94 | ||
|- | |- | ||
|20 | |20 | ||
|1413.448 | |1413.448 | ||
|1403.91 | |||
|} | |} | ||
[[Category:Well tempered nonet]] | [[Category:Well tempered nonet]] | ||