In a method and a magnetic resonance scanner for generating a data set, a first RF pulse is applied simultaneously with a first gradient having a first amplitude and a first polarity, and at least one second gradient is applied having a second amplitude and a second polarity. A second RF pulse is applied simultaneously with a third gradient having a third amplitude and a third polarity. The third amplitude is different from the first amplitude and/or the third polarity is different from the first polarity. The scan signal generated using the second RF pulse is then read out.