  Oscillatory double-diffusive convection (ODDC, more traditionally called
semiconvection) is a form of linear double-diffusive instability that occurs in
fluids that are unstably stratified in temperature (Schwarzschild unstable),
but stably stratified in chemical composition (Ledoux stable). This scenario is
thought to be quite common in the interiors of stars and giant planets, and
understanding the transport of heat and chemical species by ODDC is of great
importance to stellar and planetary evolution models. Fluids unstable to ODDC
have a tendency to form convective thermo-compositional layers which
significantly enhance the fluxes of temperature and chemical composition
compared with microscopic diffusion. Although a number of recent studies have
focused on studying properties of both layered and non-layered ODDC, few have
addressed how additional physical processes such as global rotation affect its
dynamics. In this work we study first how rotation affects the linear stability
properties of rotating ODDC. Using direct numerical simulations we then analyze
the effect of rotation on properties of layered and non-layered ODDC, and study
how the angle of the rotation axis with respect to the direction of gravity
affects layering. We find that rotating systems can be broadly grouped into two
categories, based on the strength of rotation. Qualitative behavior in the more
weakly rotating group is similar to non-rotating ODDC, but strongly rotating
systems become dominated by vortices that are invariant in the direction of the
rotation vector and strongly influence transport. We find that whenever layers
form, rotation always acts to reduce thermal and compositional transport.
