Vibratory tip (100) comprising a body (110) having a first end (111) adapted to be mechanically coupled rigidly with a surgical handpiece (101) generating vibrations and a second end to which there is fixed a tool holder (112) intended to reproduce the vibrations transmitted by the handpiece. The tip furthermore comprises a tool (120) comprising a working area (121). In accordance with the invention, the tool (120) is mounted able to rotate freely with the tool holder (112), which allows the tool to adjust itself automatically in order to remain in contact with the tooth and position the working area on the entire periphery of the tooth with a single tip. The tool preferably comprises two working areas to improve keeping and guiding the tool on the surface of the tooth to be treated.
