A collet for mounting a balance spring, said collet being formed by a metal band whose inner contour delimits recesses for driving the collet onto a balance staff and whose outer contour includes a function point between the collet and the balance spring located at the end of an arm at a distance R from the centre 0 of the staff greater than that of any other point of the outer contour, wherein the inner contour includes a discrete number of points of contact with the staff, one of the points being aligned with the staff and the function point, the angular apertures α of said function points not being all identical, and wherein the portions of band substantially opposite the points of contact not aligned with the staff and the join point form function of greater width I6, I8 than the other parts of the band.