A method for scanning microscopy is disclosed. It contains the step of generating an illuminating light beam that exhibits at least a first substantially continuous wavelength spectrum whose spectral width is greater than 5 nm; the choosing of a second wavelength spectrum that is arranged spectrally within the first wavelength spectrum; the step of selecting the light of the second wavelength spectrum out of the illuminating light beam using an acoustooptical component; and the step of illuminating a specimen with the illuminating light beam. A scanning microscope is also disclosed.