The invention provides a rotational atherectomy device having, in various embodiments, a flexible, elongated, rotatable drive shaft with at least one asymmetric and at least partially spherical abrading element attached thereto, which comprises an abrasive surface. The abrading element comprises more mass above the drive shaft than below and comprises a flattened side or transverse surface which creates hard cutting edges and spaces the center of mass radially from the rotational axis of the drive shaft. Thus the center of mass is moved vertically and transversely by the structure of the abrading element, conferring geometric and mass eccentricity upon the element. When placed against stenotic tissue and rotated at high speed, the eccentric nature of the abrading element moves along an orbital path, opening the lesion to a diameter larger than the resting diameter of the abrading element.