  Assuming that ORD is $\omega +\omega $-Erd\"os we show that if a class
forcing amenable to $L$ (an $L$-forcing) has a generic then it has one
definable in a set-generic extension of $L[O^\#]$. In fact we may choose such a
generic to be {\it periodic} in the sense that it preserve the indiscernibility
of a final segment of a periodic subclass of the Silver indiscernibles, and
therefore to be {\it almost codable} in the sense that it is definable from a
real which is generic for an $L$-forcing (and which belongs to a set-generic
extension of $L[O^\#]$).
