1. A method for acquiring a magnetic resonance data set of a plurality of slices of a volume of interest in an examination subject, comprising: obtaining a trigger signal from an examination subject situated in a magnetic resonance data acquisition unit based on respiration of said examination subject; providing said trigger signal to a control computer and, upon receipt of said trigger signal, beginning from said control unit, operation of said magnetic resonance data acquisition unit to execute a fat saturation magnetic resonance data acquisition procedure comprising a plurality of acquisition blocks each having a plurality of echo trains respectively relating to different individual slices of a plurality of slices of a volume of interest in the examination subject; from said control unit, operating said magnetic resonance data acquisition unit to acquire, from said echo trains, magnetic resonance data for each of said plurality of individual different slices and entering the magnetic resonance data acquired for each individual slice into a respective portion of k-space in an electronic memory organized as k-space; from said control unit, in at least two of said acquisition blocks, operating said magnetic resonance data acquisition unit to acquire the magnetic resonance data from said plurality of individual different slices in respective sequences that differ from each other; in an image reconstruction computer having access to said electronic memory, reconstructing a magnetic resonance image of each slice from the magnetic resonance data entered, in all of said acquisition blocks, into the respective portion of k-space for that slice; and from said image reconstruction computer, making the respective reconstructed images of the plurality of slices available in electronic form as at least one data file.