Polychromatic light sources of white light, which have spectral power distributions composed of at least three different components, such as clusters of colored light-emitting diodes (LEDs) or LEDs with partial or complete conversion in phosphors. Disclosed are the peak wavelengths and relative partial radiant fluxes of the spectral components that allow rendering certain fractions of an extended color palette with high fidelity and with increased chromatic saturation, respectively, and hence meeting subjective preferences to color quality of illumination.