  We construct a Weyl transverse diffeomorphism invariant theory of
teleparallel gravity by employing the Weyl compensator formalism. The
low-energy dynamics has a single spin two gravition without a scalar degree of
freedom. By construction, it is equivalent to unimodular gravity (as well as
Einstein's general relativity with an adjustable cosmological constant) at the
non-linear level. Combined with our earlier construction of a Weyl transverse
diffeomorphism invariant theory of symmetric teleparallel gravity, unimodular
gravity is represented in three alternative ways.
