The equations of motion of a moist saturated, dissipative, stratified atmos
phere are used in the case of small Schmidt number, to describe the propaga
tion of linearized gravity waves in deep cloudy atmosphere : as in dry air,
the consequence of the dissipation is the diffusion and the damping of wav
es through the medium. However. there exist particular cases of stratificat
ion, for which the moisture gives rise at locally undamped waves. This prop
erty justifies the existence of oscillatory unstable regimes when we study
shallow convection in the medium.