  The tri-hypercharge proposal introduces a separate gauged weak hypercharge
assigned to each fermion family as the origin of flavour. This is arguably one
of the simplest setups for building "gauge non-universal theories of flavour"
or "flavour deconstructed theories". In this paper we propose and study two
minimal but ultraviolet complete and renormalisable tri-hypercharge models. We
show that both models, which differ only by the heavy messengers that complete
the effective theory, are able to explain the observed patterns of fermion
masses and mixings (including neutrinos) with all fundamental coefficients
being of $\mathcal{O}(1)$. In fact, both models translate the complicated
flavour structure of the Standard Model into three simple physical scales above
electroweak symmetry breaking, completely correlated with each other, that
carry meaningful phenomenology. In particular, the heavy messenger sector
determines the origin and size of fermion mixing, which controls the size and
nature of the flavour-violating currents mediated by the two heavy $Z'$ gauge
bosons of the theory. The phenomenological implications of the two minimal
models are compared. In both models the lightest $Z'$ remains discoverable in
dilepton searches at the LHC Run 3.
