Entropy perturbations, s′₁, in our simulations. (a,b) Temporal snapshots of s′₁ weighted by the background density, ρ₀, at fixed height (z = 1.2 H_r) and latitude (y = 0) from weakly rotating simulations HD-Co2 and MHD-Co2. (c,d) Same as panels a and b but from rapidly rotating cases HD-Co20 and MHD-Co20. (e) Volume-averaged rms entropy perturbation, $\overline{{\rho }_0{s}_{\mathrm{rms}}}$, as a function of Co_*. Blue and red denote the results from HD and MHD simulations. The dotted gray lines show $\propto {\mathrm{Co}}_{\ast }^{1/5}$ and $\propto {\mathrm{Co}}_{\ast }^{1/3}$ dependences theoretically expected from the CIA and MAC balances.