User:Moremajorthanmajor/20wtn: Difference between revisions
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A '''20 tone well tempered nonet''' (20WTN) is related to well temperaments of [[17edo]] and [[18edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings 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. | A '''20 tone well tempered nonet''' (20WTN) is related to well temperaments of [[17edo]] and [[18edo]], 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. | ||
== Optimal Intervals == | == Optimal Intervals == | ||
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|11 | |11 | ||
|773.104 | |773.104 | ||
|764. | |764.211 | ||
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|12 | |12 | ||
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|13 | |13 | ||
|915.403 | |915.403 | ||
|888. | |888.722 | ||
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|14 | |14 | ||
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|15 | |15 | ||
|1057.701 | |1057.701 | ||
|1013. | |1013.233 | ||
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|16 | |16 | ||
|1128.896 | |1128.896 | ||
|1075. | |1075.489 | ||
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|17 | |17 | ||
|1200 | |1200 | ||
|1137. | |1137.744 | ||
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|18 | |18 | ||
|1271. | |1271.149 | ||
|1200 | |1200 | ||
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|19 | |19 | ||
|1342. | |1342.299 | ||
|1262. | |1262.256 | ||
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|20 | |20 | ||
|1413. | |1413.448 | ||
|1324.511 | |1324.511 | ||
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