The perception of musical sound with a music component and a speech component is intended to be improved. To this end, a method is proposed for controlling a binaural hearing system with a left hearing-device for a left ear and a right hearing-device for a right ear, which method contains the below described steps. First of all, the hearing system determines a hearing situation with the music component and the speech component. Thereupon, one of the two hearing devices is switched into a music mode and, at the same time, the other one of the two hearing devices is switched into a speech mode. The hearing-aid wearer himself/herself can then decide which component of the sound he/she would rather listen to.