Dear J folks,
I have a problem: I have monthly average temperatures and I need interpolate daily values and I like to have a beautiful cyclic curve fitting and resulting almiost the same monthly averages. It is allowed to assume that all months are 30 days.

The monthly averages are in Centrigrades: tave=:_7.3 _6.6 _1.8 3.6 11.1 17.1 19.8 11.3 4.7 _1.3 _5.0

Yes, we are freezing 5 months a year. All help is appreciated. J idioms are bonus.

Anssi
PS If somebody has deeper understanding over this problem and temperature variation and knows good references I would like to continue conversation privately.

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