Timepiece comprising a wheel set with a determinable angular position

A timepiece, comprising:

• a timepiece movement provided with an analogue display and with at least one wheel rotating integrally with a rotary indicator of said analogue display, said at least one wheel including an electrically conductive plate extending substantially orthogonally to the axis of rotation of the at least one wheel, and pierced with at least one aperture;
• and
• a device for detection of a reference angular position of the aperture, the detection device including at least one set of planar electrodes comprising a first electrode, a second electrode, and a common electrode arranged in a plane parallel to the at least one wheel, the common electrode being arranged along portions of the first electrode and of the second electrode,
• the aperture being at least partially above or below:
• the first electrode in a position called the first position of disequilibrium,
• the first electrode and the second electrode in a position called the position of equilibrium, and
• the second electrode in a position called the second position of disequilibrium,
• wherein, when the rotary indicator starts a rotation from an initial angular position prior to reaching the first position of disequilibrium, the detection device is configured to:
• detect a difference between an electrical capacitance of a first capacitor made by the first electrode and the common electrode when the aperture is in the first position of disequilibrium and an electrical capacitance of a second capacitor made by the second electrode and the common electrode when the aperture is in the second position of disequilibrium,
• detect a maximum and a minimum of the difference on a curve representing the difference;
• and
• determine the initial angular position of the at least one wheel, by the detected maximum and the minimum of the difference, and
• wherein the aperture of the rotary indicator is sized to be directly above an entire surface area of all three of the electrodes simultaneously.