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Published online by Cambridge University Press: 26 February 2013
Based on radial-velocity measurements and photometric observations, we calculated the radii of around 200 classical Cepheids that were previously assumed to be fundamental-mode pulsators. Our detailed analysis of the period–radius diagram shows that the sample of Cepheids with pulsation periods shorter than 9 days probably contains a significant fraction (up to 30%) of stars pulsating in the first overtone.