  Given any 1-random set $X$ and any $r\in(0,1)$, we construct a set of
intrinsic density $r$ which is computable from $r\oplus X$. For almost all $r$,
this set will be the first known example of an intrinsic density $r$ set which
cannot compute any $r$-Bernoulli random set. To achieve this, we shall
formalize the {\tt into} and {\tt within} noncomputable coding methods which
work well with intrinsic density.
