Wave heating of ions is obtained in Elmo Bumpy Torus (EBT) experiments under conditions where 18 ⪆ ω/Ωi ⪆ 3. Absorption of wave energy in the plasma centre is demonstrated. The fast magnetosonic wave is observed on electrostatically shielded loop probes placed at the edge of the plasma, but it is shown that the fast wave cannot directly heat the ions in EBT. The experiments suggest, however, that the waves that do produce the ion heating are coupled to the fast wave. The possibility that the heating is due to excitation of electrostatic waves is investigated theoretically.