System for connecting a bracelet to a watch case

A system for connecting a bracelet to a watch case with a link, the watch case comprising a caseband and a back cover, wherein the link comprises a first hollow element and a second element partly nesting in the first hollow element, wherein the first hollow element carries a first fastener for fastening to the watch case and the second element carries a second fastener for fastening to an adjacent bracelet link, wherein the watch case includes a mechanical device arranged to pivot the second element about an axis transverse to the longitudinal direction of the bracelet, the second element transmitting the pivoting motion thereof to the first element which pivots in turn and which is pressed against the caseband of the watch case, and

• wherein the mechanical device includes an adjusting screw arranged to be screwed farther or less far into a threaded hole which passes right through the back cover of the watch case, wherein the adjusting screw comprises a head via which the screw presses on the second element so as to pivot the second element.