  Starting from the dual Lagrangians recently obtained for (partially) massless
spin-2 fields in the Stueckelberg formulation, we write the equations of motion
for (partially) massless gravitons in (A)dS in the form of twisted-duality
relations. In both cases, the latter admit a smooth flat limit. In the massless
case, this limit reproduces the gravitational twisted-duality relations
previously known for Minkowski spacetime. In the partially-massless case, our
twisted-duality relations preserve the number of degrees of freedom in the flat
limit, in the sense that they split into a decoupled pair of dualities for
spin-1 and spin-2 fields. Our results apply to spacetimes of any dimension
greater than three. In four dimensions, the twisted-duality relations for
partially massless fields that appeared in the literature are recovered by
gauging away the Stueckelberg field.
