For a perfectly conducting plasma magnetized by a dipole field, the magnetohydrodynamic toroidal mode describes waves which propagate energy along the field lines. This characteristic causes the resonance oscillations of this mode to be strongly latitude-dependent. The periods of these oscillations are determined for a generalized plasma density of the form ρ = ρ0(a/r)sD(φ) and compared with previously obtained results for the poloidal or isotropic mode. A discussion is provided of the validity of the model plasmasphere and the conditions for experimental observation.