  We study several ideal-based constructions in the context of singular
stationarity. By combining methods of strong ideals, supercompact embeddings,
and Prikry-type posets, we obtain three consistency results concerning mutually
stationary sets, and answer a question of Foreman and Magidor concerning
stationary sequences on the first uncountable cardinals, $\aleph_n$, $1 \leq n
< \omega$.
