  The present work introduces a master action that interpolates between four
self-dual models, $SD(i)$, for describing massive spin-4 particles in $D=2+1$
dimensions. These models are designated by $i=1,2,3$ and $4$, representing the
order in derivatives. Our results show that the four descriptions are quantum
equivalent through comparison of their correlation functions, up to contact
terms. A geometrical approach is demonstrated to be a useful tool in describing
the third and fourth order models. The construction of the master action relies
on the introduction of mixing terms, which must be free of particle content. We
use the helicity decomposition method to verify the absence of particle content
in these terms, ensuring the proper functioning of the master action.
