In a magnetic resonance apparatus and method for acquiring magnetic resonance data, a magnetic resonance data acquisition scanner executes a turbo spin echo (TSE) data acquisition sequence with simultaneous multi-slice (SMS) imaging wherein nuclear spins in two different slices of an examination subject are simultaneously excited so as to produce respective echo trains. The magnetic resonance data acquisition scanner is operated with the SMS imaging configured so that magnetic resonance signals from the respective slices have a different contrast, with the SMS being configured to allow evolution of magnetization of the nuclear spins for the second contrast while magnetic resonance signals with the first contrast are being detected. The respective magnetic resonance signals from the two different slices are detected and entered into an electronic memory organized as k-space, as k-space data.