The paper considers the transport of banana particles in a rippled magnetic field over the entire energy range. It is shown that all familiar regimes of ripple transport – ripple-plateau, banana-drift and stochastic – can be described in a unified manner. The general expression obtained for the rippled fluxes of banana particles describes, apart from the already familiar regimes, also the as yet unstudied energy region between the drift and stochastic regimes. A generalized ripple-banana thermal conductivity coefficient, , is calculated.