  We address a long-standing problem of describing the thermodynamics of
rotating Taub--NUT solutions. The obtained first law is of full cohomogeneity
and allows for asymmetric distributions of Misner strings as well as their
potential variable strengths---encoded in the gravitational Misner charges.
Notably, the angular momentum is no longer given by the Noether charge over the
sphere at infinity and picks up non-trivial contributions from Misner strings.
