In a magnetic resonance data acquisition of at least two measurement data sets of an examination subject, each of the at least two measurement data sets is acquired in at least three partial measurements. Each partial measurement covers a partial region of k-space corresponding to the examination subject to be examined, and the partial measurements are executed in series in an order such that two successive partial measurements are associated with different data sets of the at least two measurement data sets, and such that two successive partial measurements respectively do not measure the same partial region. A reduced movement sensitivity is achieved by the acquisition of the interleaved partial measurements associated with different measurement data sets. Unwanted refocusings (and therefore echo signals of residual magnetization) are also avoided by avoiding successive partial measurements that measure the same partial region.