In a method and magnetic resonance system for the acquisition of magnetic resonance data in a selected region of an examination subject, magnetic resonance data are acquired more than once using a magnetic resonance system, magnetic resonance data are acquired more than once from a selected partial region the portion of k-space filled with data corresponding to the selected region of the subject, and the multiply acquired magnetic resonance data are processed into a data set, the aforementioned partial region is selected so as to be located decentrally in k-space, meaning that it is asymmetrical relative to the center of k-space.