Delta centauri: Difference between revisions

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== Extensions ==
== Extensions ==
One might want to extend this temperament to 3.5.11.13 to complete the 9:11:13:15 [[isoharmonic]] chord, but unfortunately it's difficult. Probably the best strong extension is b51 & b28, which maps [[13/9]] to 5 generators up, but this will make 13/9 very flat (18 cents of [[damage]] in CWE tuning). There is also the weak extension b15 & b99 and the strong extension , but both of these are very high complexity.
One might want to extend this temperament to 3.5.11.13 to complete the 9:11:13:15 [[isoharmonic]] chord, however most extensions seem to sacrifice either the high accuracy or low complexity that the 3.5.11 version has. Probably the best strong extension is b51 & b28, which maps [[13/9]] to 5 generators up, but this will make 13/9 very flat (18 cents of [[damage]] in CWE tuning). There is also the high-complexity weak extension b15 & b99 (which splits the tritave into three 13/9s) and the high-complexity strong extension b15 & b71 (which splits [[5/1]] into two 739/325s).
 
== Interval chain ==
== Interval chain ==
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