In order to improve the directional effect in a hearing device system with a hearing aid device worn behind the left ear and a hearing aid device worn behind the right ear, the hearing aid devices are to be fashioned side-specific. Furthermore, each hearing aid device has at least three sound entrance ports that are arranged substantially along a straight line. When the hearing aid devices are worn, these straight lines are turned toward the straight-ahead viewing direction of a hearing device user (in contrast to symmetrically-fashioned hearing aid devices) due to the particular fashioning of the hearing aid devices. A directional effect thus is achieved by the natural formation of the pinna.