It proves possible to analyze exactly the electrode response in reversible a.c. voltammetry without resorting to simulation. The procedure involves segmenting the timescale and deducing the semiintegral. In this study, the temporal evolution of each harmonic semiintegral components is predicted, as is the aperiodic component, which includes faradaic rectification as well as a Randles-Sevcik term. A.c. and d.c. responses are cleanly separated. As the title states, the analysis is confined to a restricted range of a.c. amplitudes, but there is no restriction on the frequency. (C) 2014 Elsevier B.V. All rights reserved.