The musical or striking watch includes a watch case, which is formed of a middle part and a back cover, provided with side apertures and removably secured in a sealed manner to the middle part. A crystal closes the case in a sealed manner. A timepiece movement is held inside the watch case and provided with a striking mechanism that can be actuated at determined times to produce notes or music. The watch further includes at least one removable acoustic radiating membrane, which is arranged in the watch case. The removable membrane includes, in a central position, a retaining member. This retaining member is arranged with play in a housing in an inner stop member of the back cover. Owing to the cooperation between the retaining member and the stop member, the bending of the membrane is limited following excess pressure or vacuum pressure according to environmental conditions.