Measuring system comprising a magnetic field sensor arrangement, which comprises a first magnetic field sensor, which is integrated in a semiconductor chip, for measuring a first component (B x) of a magnetic field in a first spatial direction (x), a second magnetic field sensor, which is integrated in the semiconductor chip, for measuring a second component (B z) of the magnetic field in a second spatial direction (z), and a magnet, a transmitter (33, 35) which is movable along a track and which has a plurality of teeth, wherein a material of the teeth influences the magnetic field of the magnet and wherein the teeth of the transmitter are constructed to produce, on movement of the transmitter along the track, a travel-dependent first change in the magnetic field at a first periodicity (T 1) in the magnetic field sensor arrangement, and an evaluating circuit with which the first magnetic field sensor and the second magnetic field sensor are connected, wherein the evaluating circuit is arranged to generate a first signal at the first periodicity (T 1) from a first measurement signal of the first magnetic field sensor and a second measurement signal of the second magnetic field sensor in correspondence with an arc-tangent function arctan, the evaluating circuit being arranged to generate a second signal at the second periodicity (T 2) from the first measurement signal of the first magnetic field sensor and the second measurement signal of the second magnetic field sensor in correspondence with a values function |A| + |B| and the evaluating circuit comprising logic means arranged to determine a position of the transmitter (33, 35) based on the first signal and the second signal, characterised in that the teeth of the single transmitter (33, 35) are so arranged that the spacing between the tips of the teeth of the transmitter (33, 35) and the magnetic field sensor arrangement changes in dependence on the movement of the transmitter (33, 35) and, with reduction of the spacing, the length of the magnetic field vector increases so as to produce a travel-dependent second change of the magnetic field at a second periodicity (T 2) in the magnetic field sensor arrangement, wherein the second periodicity (T 2) is greater than the first periodicity (T 1). wherein a material of the teeth influences the magnetic field of the magnet and wherein the teeth of the transmitter are constructed to produce, on movement of the transmitter along the track, a travel-dependent first change in the magnetic field at a first periodicity (T 1) in the magnetic field sensor arrangement, wherein the evaluating circuit is arranged to generate a first signal at the first periodicity (T 1) from a first measurement signal of the first magnetic field sensor and a second measurement signal of the second magnetic field sensor in correspondence with an arc-tangent function arctan, the evaluating circuit being arranged to generate a second signal at the second periodicity (T 2) from the first measurement signal of the first magnetic field sensor and the second measurement signal of the second magnetic field sensor in correspondence with a values function |A| + |B| and the evaluating circuit comprising logic means arranged to determine a position of the transmitter (33, 35) based on the first signal and the second signal,