The accuracy of frequency of the mains is quite amazing, considering that the frequency depends on the rotational speed of thousands of tons of turbo alternators, all in sync. Variiations is load, input variations from renewables, the rotational inertia time constant of the system, probably measured in minutes, and the control system for that must be a pretty cool piece of design. The frequency does drop a little at peak load, but must be advanced a litlte later to ensure the second accuracy of clocks in the long term...