A tuned mass damper for damping airborne vibrations at one or more rail frequencies from a rail generated by movement of wheels over the rail. The tuned mass damper includes one or more damper elements including a damper element material, and a body element including a body material. The damper elements are at least partially embedded in the body element. The body element has inner and lower exterior surfaces formed to fit within first and second pockets on opposite first and second sides of the rail defined by a web portion and a foot. The damper element material and the body material are selected and formed so that the tuned mass damper vibrates in response to movement of the wheels over the rail at one or more damper frequencies that at least partially interferes with the rail frequencies.