We consider Bose gases of N particles in a box of volume one, interacting through a repulsive potential with scattering length of order N^{1-\kappa}, for \kappa > 0. Such regimes interpolate between the Gross-Pitaevskii and thermodynamic limits. Assuming that \kappa is sufficiently small, we determine the ground state energy and the low-energy excitation spectrum of the system, up to errors vanishing in the limit of large N.
