A variable radio frequency band filter includes a housing with a plurality of cavities, a plurality of resonators, wherein one resonator is arranged in each cavity, and a tuning arrangement having a plurality of tuning structures. One of the tuning structures is arranged in each of the cavities. The tuning structures of multiple cavities are mechanically connected such that the tuning structures may be shifted simultaneously in order to simultaneously vary the resonance frequencies of the cavities. Each tuning structure includes at least one first metallic surface facing the resonator and at least one second metallic surface facing a wall of the cavity, the first and second metallic surfaces being conductively connected. The second metallic surface is arranged such that a small and essentially uniform gap is formed between the second metallic surface and the wall to achieve a virtual grounding of the metallic surfaces.