A method and apparatus for generating a further scanning frequency from an input scanning frequency and an output scanning frequency which is located very close to an input scanning frequency or output scanning frequency. A further scanning frequency is derived from the input scanning frequency and the output scanning frequency. Scanning values of an input scanning sequence are converted by a first conversion into scanning values of a further scanning sequence with a further scanning frequency. The scanning values of the further scanning sequence are converted into scanning values of an output scanning sequence. An adaptation on one of the two conversions of the scanning frequencies is then performed and a scanning rate conversion with a predetermined ratio is performed on the other of the two conversions. Phase errors and deviations of the scanning frequency, which may be contained in the further scanning sequence, are compensated for by delaying the scanning values and by performing a periodically occurring change-over process.