We have previously proposed that incremental belief updating can provide a unified account of the effect of cumulative exposure on phonetic recalibration and selective adaptation (Kleinschmidt & Jaeger, 2011). This model predicts that these are not two distinct phenomena but rather two points on a continuum. We investigate that prediction here using adaptor stimuli intermediate between those which induce recalibration and selective adaptation, and find that the quantitative predictions of the model fit the data well. We also demonstrate that with the proper controls, Mechanical Turk provides a suitable online platform for speech perception experiments.