  We couple dual pairs of N=8 superconformal mechanics with conical targets of
dimension d and 8-d. The superconformal coupling generates an oscillator-type
potential on each of the two target factors, with a frequency depending on the
respective dual coordinates. In the case of the inhomogeneous (3,8,5) model,
which entails a monopole background, it is necessary to add an extra
supermultiplet of constants for half of the supersymmetry. The N=4 analog,
joining an inhomogeneous (1,4,3) with a (3,4,1) multiplet, is also analyzed in
detail.
