In a magnetic resonance (MR) method and apparatus for the acquisition of a first image data set and a second image data set of an examination subject, a series of excitation pulses is radiated into the examination subject, and after each excitation pulse, a first echo signal is detected after a first echo time TE1 and a second echo signal is detected after a second echo time TE2, with TE2 greater than TE1, and the first echo signal is entered in a first raw MR data set and the second echo signal is entered in a second raw MR data set. A first image data set is acquired from the first MR data set on the basis of magnitude information contained in the first MR data set. A second image data set is acquired from the second MR data set on the basis of phase information contained in the second MR data set. The first and second image data sets are stored on at least one memory device.This manner of data acquisition and processing delivers results that typically are obtained from two different data acquisition and processing procedures, one for each desired image data set.