Horological movement comprising a mechanical resonator and an escapement which is associated with said mechanical resonator, the escapement comprising an escape wheel having a first axis of rotation and a pallet assembly separated from the mechanical resonator and having a second axis of rotation that is different from that of the mechanical resonator; the mechanical resonator being coupled to the pallet assembly in such a way that, when said mechanical resonator has an oscillation, the pallet assembly undergoes a reciprocating movement between two rest positions wherein the pallet assembly remains alternately during successive time intervals; the pallet assembly comprising at least one magnetic pallet-stone formed of a magnet (30, 32) and the escape wheel comprising a periodic magnetised structure that defines a plurality of magnetic potential energy ascending ramps for said magnetic pallet-stone, each of said magnetic potential energy ascending ramps being provided so that said magnetic pallet-stone can climb it when the pallet assembly is in a corresponding rest position from the two rest positions and when a force torque provided to the escape wheel is equal to the nominal force torque or in a range of values that is provided for a normal operation of the horological movement, said magnetic pallet-stone and the periodic magnetised structure being arranged in such a way that the pallet assembly undergoes a magnetic force impulse in the direction of the reciprocating movement thereof, after said magnetic pallet-stone has climbed any one of said magnetic potential energy ascending ramps, when the pallet assembly tilts from one of the two rest positions having enabled said magnetic pallet-stone to climb said any one of the magnetic potential energy ascending ramps to the other rest position; characterised in that the escape wheel comprises at least one first distant portion relatively to said first axis of rotation and the pallet assembly comprises at least one second distant portion (28, 29) relatively to said second axis of rotation; in that, when the mechanical resonator is at rest, the pallet assembly has for any angular position θ of the escape wheel when stopped an equilibrium angular position β ER (θ) that depends on said angular position; in that, for any angular position of at least one range of angular positions (PC P1, PC P2) of the escape wheel, the first and second distant portions are in contact with one another while the mechanical resonator is at rest and the pallet assembly is in the corresponding equilibrium angular position β ER (θ), the first and second distant portions being arranged in such a way that the equilibrium angular position β ER (θ) of the pallet assembly is, on at least one first portion of each range of angular positions from said at least one range of angular positions of the escape wheel, a monotonic function of the angular position θ of the escape wheel that moves away from a median position of the pallet assembly with a variation of said angular position θ in the direction of rotation provided for the escape wheel, said median position defining a zero angular position for the pallet assembly at equal angular distance from the two rest positions thereof; and in that a maximum absolute value (AM E) of the equilibrium angular position β ER (θ) of the pallet assembly on said at least one range of angular positions is strictly less than the absolute angular value (β Max) of the two rest positions.