In this work we report on experimental and numerical investigations of the attenuation of a small amplitude signal due to its interaction with high intensity, band limited sound whose spectrum consists of up to four discrete peaks. We probe the 'thermodynamic limit' for different configurations of the spectral components. In particular the attenuation of the signal is investigated for both equally and unequally spaced spectral components, as well as different phase relations among them. The possibility of collective modes is also explored by measurements of the phase change in the signal downstream due to the presence of discrete noise.