In the Phaedrus-T tokamak ͓R. Majeski et al., Phys Fluids B 5, 2506 ͑1993͔͒, Alfvén waves are indirectly driven by a fast wave antenna array. Small fractions of minority ions can couple Alfvén and ion-ion hybrid waves and have a large effect on the wave numbers accessible for a given launched frequency. A discrete spectrum and toroidal damping for these modes has been identified by measuring dispersion properties at the edge. Landau damping is predicted to be large and spatially localized and to be responsible for the experimentally observed electron heating ͑T. Intrator et al., ''Alfvén ion-ion hybrid wave heating in the Phaedrus-T tokamak,'' to appear in Phys. Plasmas͒ and current drive near the core of the tokamak plasmas.