Mechanism for adjusting a timepiece bridge

A mechanism (10) for adjusting a timepiece bridge (200) fixed to a structure (300), said adjustment mechanism (10) comprising, coaxial and movable one with respect to the other by sliding along a common axis (D10) and/or in rotation with respect to said axis (D10), which defines the adjustment direction, and returned one towards the other by an elastic return means or pressed one against the other by a clamping means, a first component (1) arranged so as to be fixed to said structure (300) or to said bridge (200), and at least one second component (4, 8) arranged so as to be fixed to said bridge (200) or respectively to said structure (300), wherein said first component (1) includes, on a first annular or circular sector around said axis (D10), a first relief (3, 7) facing a second relief (6) that said second component (4, 8) includes on a second annular or respectively circular sector around said axis (D10), said first relief (3, 7) and said second relief (6) having variable cooperation depending on the relative angular position between oblique surfaces, relative to said axis (D10), of each of said first component (1) and said second component (4, 8), said oblique surfaces being angled so as to rest flatly on ones of each other, each said particular relative angular position defining a particular distance H in an increasing order along an entire circumference about said axis (D10) and between reference surfaces (S1, S2) perpendicular to said axis (D10) of said first component (1) and of said second component (4, 8), wherein said first relief (3, 7) and said second relief (6) are arranged to guide said first component (1) and said second component (4, 8) in an additional relative rotation towards a stable position among a finite number of stable equilibrium positions when they are pushed one towards the other, and in that each said stable position corresponds to a particular distance among a finite number of possible distances between said reference surfaces (S1, S2).