A device for recording on and/or reading from a magnetic medium with magnetic tracks, including plural magnetic heads each including a pair of polar parts separated by an amagnetic head gap with a given azimuth angle. The pairs of polar parts are distributed on fixed supports, the head gaps of the pairs of polar parts on a particular support all having the same azimuth angle. At least two supports include pairs of polar parts with different azimuth angles, each support having a given tilt angle from the magnetic tracks.