A superconducting, actively shielded magnet has a first and second superconducting coil modules that generate a homogeneous magnetic field in a first direction in an operating volume of the magnet and that reduces the scatter magnetic field in an environment of the magnet. A third superconducting coil module is arranged in proximity to the first and second coil modules. The third coil module is fashioned to generate a compensation gradient field given occurrence of an interference gradient field in the environment so that the effect of the interference gradient field in the operating volume is reduced.