The organizing concept behind dialect variation is still seen predominantly as the areas within which similar varieties are spoken. The opposing view—that dialects are organized in a continuum without sharp boundaries—is likewise popular. This article introduces a new element into the discussion, which is the opportunity to view dialectal differences in the aggregate. We employ a dialectometric technique that provides an additive measure of pronunciation difference: the (aggregate) pronunciation distance. This allows us to determine how much of the linguistic variation is accounted for by geography. In our sample of 27 Dutch towns and villages, the variation ranges between 65% and 81%, which lends credence to the continuum view. The borders of well-established dialect areas nonetheless show large deviations from the expected aggregate pronunciation distance. We pay particular attention to a puzzle concerning the subjective perception of continua introduced by Chambers and Trudgill (1998): a traveller walking in a straight line from village to village notices successive small changes, but seldom, if ever, observes large differences. This sounds like a justification of the continuum view, but there is an added twist. Might the traveller be misled by the perspective of most recent memory? We use the Chambers–Trudgill puzzle to organize our argument at several points.