  We define weak real mice $\mathcal{M}$ and prove that the boldface pointclass
$\boldsymbol{\Sigma}_m(\mathcal{M})$ has the scale property assuming only the
determinacy of sets of reals in $\mathcal{M}$ when $m$ is the smallest integer
$m>0$ such that $\boldsymbol{\Sigma}_m(\mathcal{M})$ contains a set of reals
not in $\mathcal{M}$. We shall use this development in Part III to obtain
scales of minimal complexity in $K(\mathbb{R})$.
