Several experimentally measured energy spectra of fully developed incompressible turbulent flows with Taylor microscale Reynolds numbers ranging from 130–13 000 have been reexamined. It is shown that all spectra collapse to a universal curve after a simple rescaling of space and time. This rescaling does not involve any multifractal‐type transformation, and the rescaled wave numbers scatter around the Kolmogorov dissipation wave numbers derived from experimentally measured quantities. An empirical formula for the resulting universal form is proposed, indicating a nontrivial form of the energy spectrum near the viscous dissipation cutoff.