We consider ultrasonics in glass blocks in contact through a single 3 mm glass bead held in place by contact forces of up to five Newtons. Hertzian contact theory predicts resonant transmission at a few isolated frequencies between 65 and 120 kHz. Resonances, based on calculations of radiative losses to the blocks, are predicted to be narrow, with widths of order 50Hz. Wide-band diffuse ultrasound from 50 to 800 kHz launched by an impulse in the upper block leads to a diffuse signal in the upper block that slowly diminishes due to absorption. It leads to a diffuse signal in the lower block that slowly increases in amplitude due to transmission—through the air and through the bead—before dissipating due to absorption. The spectrum in the lower block includes a broadband part demonstratable as due to transmission through the airgap. It also includes a part due to transmission through the bead and confined to a few isolated frequency bands. These transmission bands have widths of several kHz. We also investigate slow dynamics at the contact points by studying the change and recovery of the diffuse transmission after large amplitude conditionings.