Notwithstanding the provisions of § 22-2-10, in the event a senatorial delegation representing a particular county desires to fill a vacancy in the office of magistrate and conduct a nonpartisan preferential election relating to the filling of such vacancy more than six months prior to a scheduled general election, the delegation may direct the county election commission to conduct a special election. The majority of the senatorial delegation shall call for such election by notifying the county election commission in writing of its wishes at least sixty days prior to the date on which it desires to have the election. The election commission shall cause such election to be advertised in a newspaper of general circulation in the magisterial district in which the election is to be held at least twice in such sixty day period setting forth the date and subject of such election. Any qualified elector residing in the magisterial district may have his name placed on the preferential election ballot by filing a petition with the election commission at least forty-five days prior to the date of the special election. Except as specifically provided in this section, the election shall be governed by the provisions of § 22-2-10 as they relate to nonpartisan preferential elections.