A magnetic resonance apparatus has a transmission and reception coil system and a gradient coil system that is designed to generate a gradient field that is periodic in one spatial direction. The gradient field and/or the examination subject can be displaced in the spatial direction of the periodicity to generate a relative position change between the periodic gradient field and an examination subject, and the transmission and reception coil system comprises individually-activatable coil arrays to allow data to be acquired to fill in gaps or resolve ambiguous data entries that occur due to the gradient field being periodic.