An adjustment member for a watch including a fixed structure extending substantially perpendicularly to an axial direction, the adjustment member including a regulating member with a balance arranged to pivot about a balance axis, this balance is pivoted by magnetic pivots in a carriage, arranged to pivot about a carriage axis, and comprised in a device for annulling variations in rate in the vertical positions, formed by a tourbillon or a carrousel, comprised in the adjustment member, and the carriage carrying magnets defining the balance axis which is perpendicular or oblique to the carriage axis.