We study the dynamics of inflation driven by an adiabatic self-gravitating medium, extending the previous works on fluid and solid inflation. Such a class of media comprise perfect fluids, zero and finite temperature solids. By using an effective theory description, we compute the power spectrum for the scalar curvature perturbation ζ of constant energy density hypersurface and the comoving scalar curvature perturbation R in the case of slow-roll, super slow-roll and w-media inflation, an inflationary phase with w constant and −1 < w < −1/3. A similar computation is done for the tensor modes. Such a media are characterised by intrinsic entropy perturbations that can give a significant contribution to the power spectrum and can be used to generate the required seed to primordial black holes. In general the Weinberg theorem is violated; thus on super horizon scale neither ζ nor R are conserved and moreover ζ = R; reheating becomes crucial to predict the spectrum of primordial perturbations. We discuss in detail the physical consequence of such a violation.