Mass-shedding frequency vs. mass for the same EOSs as in Fig. 1. For the CLC EOS we plot both the curves obtained with the approximate expression in Eq. (3) from a static configuration and exact numerical solutions for rotating configurations obtained with LORENE. For the DH EOS, configurations also obtained with LORENE are plotted. The maximum mass close to the mass-shedding frequency increases significantly due to the additional rotational support, but the error on the frequency remains small, around 10%. For the most extreme configuration that is physically plausible, the CL EOS with crust, the mass-shedding frequency is around 1200 Hz, well above the observed maximum of f = 716 Hz. As this is the stiffest equation of state that can be built, any softening will lead to a higher mass-shedding frequency, as can be seen by comparing to the curve for the more realistic DH equation of state, which reaches mass shedding around f ≃ 1730 Hz.