Abstract: A density transducer employs a hollow cylinder capable of vibrating in the circumferential (or hoop) mode as the density sensing element, the cylinder being open at both ends and arranged so that the fluid whose density is to be transduced can come into contact with only the internal surface of the cylinder. The opposite ends of the cylinder are each secured to a respective clamping ring, which establishes a node at its respective end of the cylinder. The clamping rings each have a piston face which faces axially away from the cylinder and is acted on by the pressure of the fluid, thereby applying a compressive axial force to the cylinder which tends to reduce the effect of variations in the pressure of the fluid on the frequency of the vibration.