A timepiece wheel set or strike wheel set governor for regulating the pivoting speed of a wheel set about a first pivot axis, around a reference speed, wherein said wheel set is driven, via transmission means, by an energy source delivering a mechanical torque, said wheel set includes at least one inertia-block comprising a peripheral portion and pivotally mounted about a primary pivot defining a second pivot axis parallel to said first pivot axis and at a distance therefrom, wherein said governor includes a means of returning said at least one inertia block towards said first pivot axis, and wherein said at least one inertia block is arranged so that, when said wheel set pivots at a speed lower than or equal to said reference speed, said at least one inertia block remains confined within a first volume of revolution about said first pivot axis, and, when said wheel set pivots at a higher speed than said reference speed, said at least one inertia block is engaged, at least in a peripheral portion thereof, in a second volume of revolution about said first pivot axis contiguous with said first volume of revolution, and said governor including regulating means arranged for braking said wheel set and returning the pivoting speed thereof to said reference speed, and for dissipating the surplus energy, and said peripheral portion of said inertia block cooperates in said second volume of revolution with said regulating means wherein said peripheral portion of said inertia block is, either electrically conductive and said regulating means is formed by a means of generating at least one variable magnetic field in a chamber at least partially delimited by magnetized parts, said variable magnetic field including field lines oriented so that the interaction between said peripheral portion and said magnetic field generates eddy currents that tend to brake said wheel set by resisting the pivoting thereof, or wherein said peripheral portion is made of magnetized material, and the pivoting movement of said wheel set and said inertia block creates a variable, or alternate, or sinusoidal magnetic field in a chamber at least partially delimited by conductive parts, the interaction of which with said magnetic field generates eddy currents that tend to brake said wheel set by resisting the pivoting thereof.