An embodiment of the invention relates to a method and to a CT device for computer tomographic spiral scanning of a patient in the region of a moving organ, in particular a beating heart, wherein a pitch is adjusted which is less than the maximum pitch, with which 180° image data can still be reconstructed. In at least one embodiment, during the scan the evaluated detector data with respect to its z width and position on the at least one irradiated detector are restricted as a function of the projection angle in such a way that an effective virtual detector with smaller z width and with a z speed profile, which differs from the z speed profile of the real detector, is produced respectively, and the moving organ is reconstructed on the basis of the detector data of the at least one virtual detector.