[en] An earlier proposed microscopic approach to coupled modes in even-even nuclei is generalized to the case of a super (s-) band in addition to the ground (g-), β- and γ- bands. The direct coupling with the superband (Ksup(π)=1sup(+)) modifies the cranking model formula for the moment of inertia and the RPA equations for the s-band, but up to first order leaves unchanged the PRA results for the β- and γ-bands