  We explore the rich phase space of singly spinning (both neutral and charged)
black hole solutions in the large $D$ limit. We find several 'bumpy' branches
which are connected to multiple (concentric) black rings, and black Saturns.
Additionally we obtain stationary solutions without axisymmetry that are only
stationary at $D\rightarrow \infty$, but correspond to long lived black hole
solutions at finite $D$. These multipolar solutions can appear as intermediate
configurations in the decay of ultra-spinning Myers-Perry black holes into
stable black holes. Finally we also construct stationary solutions
corresponding to the instability of such a multipolar solution.
