Using Steel's recent result that assuming AD, in $L\lbrack\mathbb{R}\rbrack$ below $\Theta, \kappa$ is regular $\operatorname{iff} \kappa$ is measurable, we mimic below $\Theta$ certain earlier results of Gitik. In particular, we construct via forcing a model in which all uncountable cardinals below $\Theta$ are singular and a model in which the only regular uncountable cardinal below $\Theta$ is $\aleph_1$.

Starting from cardinals κ κ is measurable, we construct a model for the theory “ZF + n < ω[DCn] + ω + 1 is a measurable cardinal”. This is the maximum amount of dependent choice consistent with the measurability of ω + 1, and by a theorem of Shelah using p.c.f. theory, is the best result of this sort possible.