A high-pressure discharge lamp may include a discharge vessel, which contains: electrodes, at least one noble gas as a start gas, at least one element selected from the group consisting of Al, In, Mg, Tl, Hg, and Zn for arc transfer and discharge vessel wall heating, and at least one rare earth halide for the generation of radiation, which is configured such that the generated light is dominated by molecular radiation, wherein at least one member of a first group of rare earth halides is used together with at least one member of a second group of rare earth halides, the first group having the property that the color distance decreases with a power increase when the power of the lamp is increased in a predetermined power interval, and the second group having the property that the color distance increases with a power increase when the power of the lamp is increased in this predetermined power interval.