A timepiece indexing element cooperating coaxially with a component including an indexing relief element defining indexing positions, including a first bearing surface cooperating in abutment with the component, elastic return device exerting a radial thrust on this component to press it onto this first bearing surface, and indexing device cooperating with the indexing relief element, these elastic return devices include at least a first elastic arm including a first indexing surface comprised in this indexing device and arranged to exert a radial thrust force on the component and, at least a second elastic arm arranged to exert a radial thrust force on the first elastic arm.

A method for reference time setting of the displays of a sympathetic watch by a sympathetic clock forming a sympathetic assembly with the watch. At any time, the reference time setting of the watch is performed by a first phase during which the placement in the reference position is triggered, by a first displacement of an interface between the clock and the watch, the reference time setting of the displays, and the coupling mechanism is uncoupled to allow the rack to drive the display gear train of the watch in the counter-clockwise direction, over as many revolutions as necessary, until the pawl meets the ratchet tooth opening of the hour cam, then the time-setting mechanism controlled by the clock sets the time of the displays of the watch in the clockwise direction to the exact time by recoiling the rack, then the coupling mechanism is recoupled.

A method for reference time setting of the displays of a sympathetic watch by a sympathetic clock forming a sympathetic assembly with the watch. At any time, the reference time setting of the watch is performed by a first phase during which the placement in the reference position is triggered, by a first displacement of an interface between the clock and the watch, the reference time setting of the displays, and the coupling mechanism is uncoupled to allow the rack to drive the display gear train of the watch in the counter-clockwise direction, over as many revolutions as necessary, until the pawl meets the ratchet tooth opening of the hour cam, then the time-setting mechanism controlled by the clock sets the time of the displays of the watch in the clockwise direction to the exact time by recoiling the rack, then the coupling mechanism is recoupled.

A method for acquiring data on a sympathetic clock (100) for setting the time of a sympathetic watch (200) at request. The sympathetic watch forms with the clock (100) a sympathetic assembly (1000). The watch includes an hour display (4) and a minute display (5), a reference position of which will be defined at a reference time, and the clock (100) performs the time setting of the watch (200), either when the watch (200) is placed on the clock (100), or alternatively at a predetermined time on the clock (100), or at request by action of a user on a control means (300) included in the clock (100) or the watch (200), or upon control of a horological movement (900) included in the clock (100).

A method for acquiring data on a sympathetic clock (100) for setting the time of a sympathetic watch (200) at request. The sympathetic watch forms with the clock (100) a sympathetic assembly (1000). The watch includes an hour display (4) and a minute display (5), a reference position of which will be defined at a reference time, and the clock (100) performs the time setting of the watch (200), either when the watch (200) is placed on the clock (100), or alternatively at a predetermined time on the clock (100), or at request by action of a user on a control means (300) included in the clock (100) or the watch (200), or upon control of a horological movement (900) included in the clock (100).

A flexible hand actuation mechanism to which a disk of a horological movement applies a first angular rotation (θ1), the flexible hand including a first cannon and a second cannon connected to a point of the flexible hand via flexible arms, an operating position where the first cannon and the second cannon are coaxial about an exit axis, the first cannon being fitted with a first defined prestress angle, the second cannon being fitted with a second defined prestress angle of opposite direction to that of the first cannon, the actuation mechanism being arranged to actuate the flexible hand such that the latter changes shape and length in the desired manner by varying the angular position of the second cannon with respect to the first cannon by pivoting about the exit axis.

A flexible hand actuation mechanism to which a disk of a horological movement applies a first angular rotation (θ1), the flexible hand including a first cannon and a second cannon connected to a point of the flexible hand via flexible arms, an operating position where the first cannon and the second cannon are coaxial about an exit axis, the first cannon being fitted with a first defined prestress angle, the second cannon being fitted with a second defined prestress angle of opposite direction to that of the first cannon, the actuation mechanism being arranged to actuate the flexible hand such that the latter changes shape and length in the desired manner by varying the angular position of the second cannon with respect to the first cannon by pivoting about the exit axis.

An anterograde display mechanism including: a first wheel driven by a horological movement; a second wheel coaxial with the first wheel and linked to the first wheel by an elastic organ; a first intermediate wheel driven directly by the first wheel and which directly drives a third wheel bearing a display organ; the third wheel including a smooth angular sector where at least two teeth are truncated; a fourth wheel coaxial and rigidly connected in rotation with the third wheel, the fourth wheel meshing the second wheel via a second intermediate wheel; the anterograde display mechanism being configured so that the rotational speed of the second wheel is less than the rotational speed of the first wheel when the display organ is driven in the angular movements thereof by successive short jumps of an angle (α) between two guide-marks separated by the first angle (α).

An anterograde display mechanism including: a first wheel driven by a horological movement; a second wheel coaxial with the first wheel and linked to the first wheel by an elastic organ; a first intermediate wheel driven directly by the first wheel and which directly drives a third wheel bearing a display organ; the third wheel including a smooth angular sector where at least two teeth are truncated; a fourth wheel coaxial and rigidly connected in rotation with the third wheel, the fourth wheel meshing the second wheel via a second intermediate wheel; the anterograde display mechanism being configured so that the rotational speed of the second wheel is less than the rotational speed of the first wheel when the display organ is driven in the angular movements thereof by successive short jumps of an angle (α) between two guide-marks separated by the first angle (α).

A horological mechanism with a first mechanism (100) and a first output wheel set (101), a second mechanism and a second output wheel set (102), for displaying a first or a second indication specific to the first mechanism (100) or second mechanism (200), by a switching and coupling mechanism (500), including, on a coupling arbor (937, 938), two input wheel sets (1; 2) connected to the output wheel sets (101; 102), a sliding wheel set moving under constant strain between these input wheel sets (1; 2), and cooperating alternately and exclusively, by clicking in a single angular position per revolution, with either one, selected under the action of a command from a user on a controller, to establish a driving connection between the input wheel set engaged with the sliding wheel set at the given moment in time, and a display means.