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I am doing boxed contour plots of a quantity that depends on two variables. Let's call it f[A,B]. A will go to the lower horizontal axis, and B to the left vertical axis. I would like the two remaining axes (call them C and D) to follow known rules, i.e. the right vertical will be some known function of the left vertical axis: D=D(B), and similarly for the upper horizontal axis: C=C(A). Thanks very much.

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ClearAll[f, g, h]
f[x_, y_] := Cos[x] + Cos[y]
d[x_] := 5 + 2 x
c[x_] := Log[5 x]

You can use Charting`ScaledTicks[{d, InverseFunction[d]}] to construct the ticks for the right axis and Charting`ScaledTicks[{c, InverseFunction[c]}] for the top axis:

ContourPlot[f[x, y], {x, 0, 4 Pi}, {y, 0, 4 Pi}, 
 FrameTicks -> {{Automatic, Charting`ScaledTicks[{d, InverseFunction[d]}][##] &},  
    {Automatic, Charting`ScaledTicks[{c, InverseFunction[c]}][##] &}}]

enter image description here

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  • $\begingroup$ Thank you very much! $\endgroup$
    – mcasariego
    Feb 20, 2020 at 15:03
  • $\begingroup$ @MCV, my pleasure. Thank you for the accept. And welcome to mma.se. $\endgroup$
    – kglr
    Feb 20, 2020 at 15:10

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