An HF coil assembly for generating independent alternating magnetic fields in an examination volume of a magnetic resonance apparatus is presented, the HF coil assembly comprising a first coil pair of saddle coils and a second coil pair of saddle coils, each saddle coil having longitudinal conductor elements and curved conductor elements arranged along a common lateral surface of a circular cylinder having a cylinder axis. Each coil pair comprises curved conductor elements and longitudinal conductor elements which are interconnected at a high frequency. The saddle coils also have diagonal conductor elements and/or bridge elements that connect the longitudinal and curved conductor elements. The coil pairs are opposite to each other relative to the cylinder axis.