  The observed neutrino mixing, having a near maximal atmospheric neutrino
mixing angle and a large solar mixing angle, is close to tri-bi-maximal. This
structure may be related to the existence of a discrete non-Abelian family
symmetry.
  In this paper the family symmetry is the non-Abelian discrete group
$\Delta(27)$, a subgroup of $SU(3)$ with triplet and anti-triplet
representations. Different frameworks are constructed in which the mixing
follows from combining fermion mass terms with the vacuum structure enforced by
the discrete symmetry. Mass terms for the fermions originate from familon
triplets, anti-triplets or both. Vacuum alignment for the family symmetry
breaking familons follows from simple invariants.
