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 .