  The models of New General Relativity have recently got attention of research
community, and there are some works studying their dynamical properties. The
formal aspects of this investigation have been mostly restricted to the primary
constraints in the Hamiltonian analysis. However, it is by far not enough for
counting their degrees of freedom or judging whether they are any good and
viable. In this paper we study linearised equations in vacuum around the
trivial Minkowski tetrad. By taking the approach of cosmological perturbation
theory we show that the numbers of primary constraints are very easily seen
without any need of genuine Hamiltonian techniques, and give the full count of
linearised degrees of freedom in the weak field limit of each and every version
of New General Relativity without matter.
