A pendulum device is provided including at least one oscillating mass, at least one proximal arm, and at least one first distal arm, The at least one proximal arm is fixed to the oscillating mass at one end and is rotatably connected to the distal arm at the other end, so that the oscillating mass can oscillate with respect to said distal arm. The distal arm is rotatably fixed to a support element fixed through a fulcrum point. Furthermore, transmission means are included between the distal arm and the proximal arm. The transmission means is configured so that oscillation of the mass causes the rotation of the distal arm around the fulcrum point and so that at least one point of said proximal arm performs at least a linear translation, the mass performing a cycloidal trajectory.

A pendulum device is provided including at least one oscillating mass, at least one proximal arm, and at least one first distal arm, The at least one proximal arm is fixed to the oscillating mass at one end and is rotatably connected to the distal arm at the other end, so that the oscillating mass can oscillate with respect to said distal arm. The distal arm is rotatably fixed to a support element fixed through a fulcrum point. Furthermore, transmission means are included between the distal arm and the proximal arm. The transmission means is configured so that oscillation of the mass causes the rotation of the distal arm around the fulcrum point and so that at least one point of said proximal arm performs at least a linear translation, the mass performing a cycloidal trajectory.

A three-dimensional karussel for a horological movement including a drive device provided with a barrel and a gear train, the three-dimensional karussel including an inertial mass, an elastic return device for the inertial mass and an escapement mechanism, wherein the horological movement includes an inner carriage and an outer carriage, the inner carriage carrying the inertial mass, the elastic return device for the inertial mass and the escapement mechanism, the inner carriage being capable of moving in rotation about a first axis of rotation, the outer carriage being capable of moving in rotation about a second axis of rotation, the inner carriage being housed inside the outer carriage, the drive device being configured to actuate the rotational motion of the outer carriage in parallel with the rotational motion of the inner carriage.