The velocity and attenuation of compressional([Formula: see text], [Formula: see text] respectively) and shear waves ([Formula: see text], [Formula: see text], respectively), determined with the Pulse Transmission technique at a frequency of about 100 kHz, are compared with the grain size, shape, porosity, density, and static frame compressibility of dry and water‐saturated sands. Except for [Formula: see text], all the quantities [Formula: see text], [Formula: see text] and [Formula: see text] are dependent on grain size and are higher in coarser grains than in finer grains. [Formula: see text] decreases significantly with increasing differential pressure in coarse‐grained sediments, but the same sediments show an anomalous increase with differential pressure in [Formula: see text] at low pressures. We have also modeled the [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] of these samples to understand the mechanisms governing the observed changes. The Contact Radius model with surface force effects predicts both [Formula: see text] and [Formula: see text] to be dependent on grain size. Frictional losses in unconsolidated coarse‐grained sands must also be considered at small strains [Formula: see text]. Velocity and losses measured in saturated sands are higher than those predicted by the Biot model, which does not account for any grain size dependence of the seismic qualities.