An x-ray computed tomography apparatus has one anode ring in a vacuum housing surrounding an examination volume, wherein a focus of an x-ray source revolves on the anode ring to expose the examination volume with an x-ray beam from different directions, and a detector system arranged on a rotating frame that can rotate around a system axis. The detector system serves to detect the x-ray radiation exiting from the examination volume, wherein the detector system and the focus can rotate around the system axis synchronously and in the same rotation direction with a rotation angle offset by 180°. The apparatus also includes a computer to process the measurement values acquired by the detector system. The anode ring can be driven such that it rotates around the system axis, and the rotation direction of the anode ring and the rotation direction of the focus around the system axis are opposite while a rotation of the focus around the system axis ensues.