One aspect of the invention relates to a horological assembly (2000) including a watch (1000) and an adjustment tool (200) for driving, without direct contact, a first mobile (1) internal to the watch (1000) throughout its case, for adjustment and/or recharging, the adjustment tool (200) including first magnetic areas (210) cooperating in attraction or repulsion with the first mobile (1) which is pivotably and axially movable about a first axis (D1) against an elastic return means (5) fastened to the case (10), between an active position in which the adjustment tool (200) draws the first mobile (1) towards an end-of-travel surface (6) in an engaged position with a second mobile (7) inside the case (10), and an inactive position in the absence of the adjustment tool (200) and in which the elastic return means (5) keeps the first mobile (1) disengaged from the second mobile (7).

A horological assembly for a horological regulating member, including a balance spring (25) having a coiled flexible strip (2); a device for adjusting its rigidity which includes a flexible element (5) arranged in series with the strip and connecting one end (4) of said strip to a rigid support (17), the flexible element having a rigidity greater than that of the strip. The adjustment device includes a pre-stressing device (6) for applying a variable force or torque to the flexible element to vary the rigidity of the flexible element. A stud-holder (1) is configured to suspend the balance spring and includes a main body (30) connected to the flexible element, and a secondary body (33) connected to the pre-stressing device, the secondary body (33) being movable relative to the main body (30) and being connected to the main body by a flexure bearing (20).

A timepiece incorporating a mechanical movement and including a device for setting its rate, including a rotationally mobile part and a setting mobile (4) controlling the angular position of the rotationally mobile part. The setting device includes a lever (5) fitted with a linking train (6) and by a actuator button, between an uncoupled position and a coupled position. The setting mobile is kinematically joined, via the linking train (6), to a mobile (7) on a correction device, including a control arbor fitted with a crown enabling the mobile to be actuated, or to a drive mobile of an indicator which can be driven by the correction device when correcting the data displayed by the indicator to set the rate of the timepiece by actuating the button.

A sympathique watch (10) including a horological movement including a going train (20), a display train (30) connected to at least one display of a time value, a sympathique hand-setting mechanism and a crown (13) operated hand-setting mechanism. The sympathique hand-setting mechanism includes a coupling device (40) interposed between the going (20) and display (30) trains, the coupling device (40) being configured to adopt an uncoupled state in which it disengages the going train (20) from the display train (30) so as to allow the hands to be set on the display by means of the sympathique hand-setting mechanism, and a coupled state in which it establishes a kinematic link between the gear trains, the link allowing for sliding enabling the hands to be set on the display by means of the crown (13) operated hand-setting mechanism.