  In this note, we discuss families of orbifolds underlying 6D SCFT F-theory
models and find a novel pairing structure in the SCFT landscape. Inspection of
the rational functions defining models with a common F-theory endpoint leads us
to naturally to pair them and find compatible extended groupings matching
endpoint collections recently characterized in correspondence with
homomorphisms of the ADE subgroups of $SU(2)$ into $E_8.$ We confirm this
proposed pairing closely links the proposed SCFT family pairs via explicit
computation of gauge algebras. We find these typically pair precisely by a
fixed additional gauge summand. The underlying $\mathbb{C}^2$ orbifold pairing
is distinct from the lattice/overlattice orbifold duality which lacks closure
on the set of SCFT endpoints. The previously established partial order on
endpoints is respected by this pairing as is the distinguished role of certain
theories allowing M5-brane fraction reassembly which appear here as self-dual
endpoints. This duality manifests in the known tower structure of endpoints to
a mirror in a tower below which we show exists naturally as an infinite chain
of endpoints extrapolated to negative valuations of the rational functions
defining endpoints. We also detail a related simple combinatorial prescription
for all rational functions defining endpoint families.
