A bstract We study top-down embeddings of massive Anti-de Sitter (AdS) gravity in type-IIB string theory. The supergravity solutions have a AdS 4 fiber warped over a manifold M 6 whose shape resembles that of scottish bagpipes: the ‘bag’ is a conventional AdS 4 compactification manifold, while the ‘pipes’ are highly-curved semi-infinite Janus throats. Besides streamlining previous discussions of the problem, our main new result is a formula for the graviton mass which only depends on the effective gravitational coupling of the bag, and on the D3-brane charges and dilaton jumps of the Janus throats. We compare these embeddings to the Karch-Randall model and to other bottom-up proposals for massive AdS gravity, and we comment on their holographic interpretation. This is a companion paper to 1 , where some closely-related bimetric models with pure AdS 5 ×S 5 throats were analyzed.