in a method and apparatus for recording a magnetic resonance data set , an mr data acquisition scanner is operated to acquire a range of basic values of a material parameter of a subject , with a basic resolution within a region of the subject . thereafter , the aforementioned resolution is refined by selecting a refinement acquisition sequence , dependent on a material property to be refined , and then again operating the scanner to acquire further values for the refinement material parameter with a refined resolution , compared to the original resolution .