Amongst the most energetic motions in the deep ocean are internal waves supported by stable vertical stratification in density. Previously, these waves were considered freely propagating as described by a smooth continuum internal wave band (IWB) frequency spectrum. We studied details of the IWB using yearlong current observations from the Bay of Biscay. Instead of observing continuum IWB spectra near a continental slope, we show that (at least) the first half-decade of the IWB is dominated by motions at localized frequencies determined by strong non-linear interactions between waves at the fundamental semidiurnal tidal and atmospherically induced inertial frequencies.