Technically, I don't have to scale it. Switching to sock yarn would make it finer, but with the same yarn as the full-size project, I can stop when the project is long enough for the doll-- which means working the tab, the foundation row, and the first dozen rows of the top-down shawl, as is.

With the doll, it would look like the VERY oversized knits of the seventies, or modern arm knitting, which can be gorgeous and sumptuously fluffy.