We study the fluctuation spectrum of linearized gravity around non-fine-tuned branes. We focus on the case of an AdS 4 brane in AdS 5. In this case, for small cosmological constant, the warp factor near the brane is essentially that of a Minkowski brane. However, far from the brane, the metric differs substantially. The space includes the AdS 5 boundary, so it has infinite volume. Nonetheless, for sufficiently small AdS 4 cosmological constant, there is a bound state graviton in the theory, and four-dimensional gravity is reproduced. However, it is a massive bound state that plays the role of the four-dimensional graviton.