An inertial mass with adjustment of inertia and/or of unbalance for a horological resonator, wherein said inertial mass includes a plurality of mobiles for adjusting inertia and/or unbalance, toothed or fluted, each mounted pivotally about a mobile axis with respect to a flange included in said inertial mass, said mobile axis being off-centre with respect to the centre of inertia of said inertial mass, and with a centre of mass off-centre with respect to said mobile axis, each said mobile cooperating by meshing with the same single inertia and/or unbalance adjustment crown included in said inertial mass, said crown being toothed or fluted, under permanent constraint exerted by an elastic return force exerted by said crown and/or by an elastic return force exerted by said mobile or by the flange that carries it, and wherein at least two said mobiles for adjusting inertia and/or unbalance can be indexed independently of each other for combined adjustment of unbalance and inertia of said inertial mass.