Range effects, which are contextual effects on perceptual judgments, can be subject to a limitation when a dichotomous pre-established norm is available. These limitations, initially observed by Marsh and Parducci (1978), consist of a neutral-point anchoring and of a symmetrization of the subjective range. Four experiments show that these limitations 1 I do not cancel the usual range effects, 2 I can be observed with various stimuli, and 3 I can be explained by various processes linked to response scales or to stimuli. This diversity can guide the analysis of similar effects that occur in everyday situations.