In a method and apparatus for magnetic resonance imaging on the basis of a gradient echo sequence by excitation of nuclear spins and measurement of radio-frequency signals indicating the excited nuclear spins, a) the pulse frequency of the person to be examined is determined, b) the magnetization of the spins is prepared by means of an RF pulse block, c) a number of steps of the spin excitation as well as measurement of an RF response signal are implemented, with the measurement data along a trajectory established by projection gradients being acquired along a first slice established by a slice-selection gradient, d) items b) through c) are repeated multiple times for the first slice, with each repetition of the steps b) through c) ensuing within a time interval that is fixed in duration, and the interval is temporally displaced relative to the determined pulse frequency for at least one portion of the repetitions, and e) items b) through d) are repeated for various slices.