  We describe how to obtain the gravity duals of semiclassical states in the
D1-D5 CFT that are superdescendants of a class of RR ground states. On the
gravity side, the configurations we construct are regular and asymptotically
reproduce the 3-charge D1-D5-P black hole compactified on $S^1\times T^4$. The
geometries depend trivially on the $T^4$ directions but non-trivially on the
remaining 6D space. In the decoupling limit, they reduce to asymptotically
AdS$_3 \times S^3 \times T^4$ spaces that are dual to CFT states obtained by
acting with (exponentials of) the operators of the superconformal algebra. As
explicit examples, we generalise the solution first constructed in
arXiv:1306.1745 and discuss another class of states that have a more
complicated dual geometry. By using the free orbifold description of the CFT we
calculate the average values for momentum and the angular momenta of these
configurations. Finally we compare the CFT results with those obtained in the
bulk from the asymptotically $M^{1,4} \times S^1\times T^4$ region.
