A scanning monochromator includes a plurality of diffraction gratings mounted on a rotatable turret, so that each grating may be moved and precisely indexed into operative position. Each grating so positioned is angularly rotated about its axis by the same scanning arm, driven by a cam having two similar (but different) contours for producing one of two similar scanning functions for the various gratings. Preferably more interchangeable order-separating filters than gratings are included to insure complete and efficient filtering (e.g., 14 filters for 7 gratings). Both the stepping of the grating turret and of the filters (e.g., on a filter wheel) are controlled by (digital) signals, derived from the actual wavenumber being separated, as precisely read by (coarse and fine) digital encoder discs on the wavenumber scanning driving shafts (before and after a large-ratio reduction system). The digital control signals and a signal indicating the operative grating provide a readout of the wavenumber, directly usable by data processing apparatus. The closed loop digital nature of the control signals are free of any non-systematic errors, and allow the instrument to be ''''indexed'''' to any desired wavenumber (and then ''''instructed'''' to scan to any other wavenumber automatically).