Angular frequency |ω_i| of MAC modes, as a function of Le in spheres (β₀ = 0), stratified under gravitational potential (5). The background (toroidal) magnetic field is B₀ = 0.1[−z 1_y+y 1_z] + [−y 1_x+x 1_y] in dimensionless form. From bottom to top: green circles are slow MC and torsional modes (respectively ω_i ∝ Le² and ω_i ∝ Le), blue squares represent fast MC modes and red stars are gravito-inertial modes. The truncation polynomial degree is n = 5. Top panel: neutral fluid (N₀/Ω_s = 0). Bottom panel: stratified fluid (N₀/Ω_s = 10).