The moment equation approach to neoclassical processes is used to derive the linearized electrostatic perturbed flows, currents, and resistive MHD-like equations for a tokamak plasma. The new features of the resultant ‘‘neoclassical magnetohydrodynamics,’’ which requires a multiple length scale analysis for the parallel eigenfunction, but is valid in the experimentally relevant banana-plateau regime of collisionality, are: (1) a global Ohm’s law that includes a fluctuating bootstrap current resulting from the ‘‘parallel’’ electron viscous damping (at rate μe) of the poloidal flow due to the perturbed radial pressure gradient; (2) reduction of the curvature effects to their flux surface average because Pfirsch–Schlüter currents cancel out the lowest-order geodesic curvature effects: (3) an increased polarization drift contribution with B−2, replaced by B−2Θ where BΘ is the poloidal magnetic field component. An electrostatic eigenmode equation is determined from ∇⋅J̃=0. For the unstable fluid-like eigenmodes, the new viscous damping effects dominate (by ε−3/2) over the curvature effects, but the growth rates still scale roughly like resistive-g or resistive-ballooning modes, γμτA∼n2/3S1/3Nβ2/3T ×( μe/νe)1/3. Diamagnetic drift frequency corrections to these new modes are also discussed.