A disk brake actuated preferably by compressed air, for a motor vehicle, includes an application mechanism. The application mechanism has a brake rotary lever which acts on a traverse in which there is arranged at least one readjusting spindle which acts on an application-side brake pad, having a readjusting device, and having a quick contact apparatus. The quick contact apparatus effects an advancing movement which is superposed on an actuation of the disk brake during the phase of overcoming an air gap. The quick contact apparatus has an intermediate element which is variable in terms of its position and which has at least a wedge-shaped design.