A pneumatic solenoid valve includes a fluid connector, a magnet coil which extends along a coil axis, a yoke arranged on the magnet coil, and an armature movable relative to the yoke and which extends along an armature axis and which is formed for opening and closing the fluid connector. The armature can assume three different switching positions. In the first switching position, the armature and coil axes are arranged parallel to one another and the armature completely closes off the fluid connector. In the second switching position, the armature is rotated about an axis of rotation, such that the armature axis and the coil axis assume an angle with respect to one another and the armature partially opens the fluid connector. In the third switching position, the armature is in a state axially displaced in relation to the first switching position, such that the fluid connector is completely open.