Our sen­so­ry envi­ron­ment is teem­ing with com­plex rhyth­mic struc­ture, but how do envi­ron­men­tal rhythms (like those present in speech or music) affect our per­cep­tion? In a human elec­troen­cephalog­ra­phy study, we inves­ti­gat­ed how audi­to­ry per­cep­tion is affect­ed when brain rhythms (neur­al oscil­la­tions) syn­chro­nize with the com­plex rhyth­mic struc­ture in syn­thet­ic sounds that pos­sessed rhyth­mic char­ac­ter­is­tics sim­i­lar to speech. We found that neur­al phase in mul­ti­ple fre­quen­cy bands syn­chro­nized to the com­plex stim­u­lus rhythm and inter­act­ed to deter­mine tar­get-detec­tion per­for­mance. Crit­i­cal­ly, the influ­ence of neur­al oscil­la­tions on tar­get-detec­tion per­for­mance was present only for fre­quen­cy bands syn­chro­nized with the rhyth­mic struc­ture of the stim­uli. Our results elu­ci­date how mul­ti­ple fre­quen­cy bands shape the effec­tive neur­al pro­cess­ing of envi­ron­men­tal stimuli.