Disclosed is a pneumatic solenoid valve comprising an air chamber with multiple air connections which can be connected via multiple switching positions of the valve by interconnecting the air chamber. The valve comprises a magnetic coil, a yoke arranged on the coil, and an armature arranged about the yoke and able to move relative to the yoke, all within the air chamber. When the coil is energized, the magnetic force generated rotates the armature about a single axis of rotation against a restoring force, until the magnetic force corresponds to the restoring force. When the armature rotates, the size of at least one overlapping region between the yoke and the armature changes, wherein an air gap is formed between the yoke and the armature. The distance of the air gap between the yoke and the armature remains substantially constant in the direction of rotation of the armature.