(1) Vacancies in municipal offices that are authorized by state law to be filled by appointment by the city or town governing body require a majority vote of the remaining members of the governing body.
(2) However, a majority of a quorum of the whole number of the governing body is required to fill the vacancy.
(3) The governing body may appoint any qualified elector, including members of a governing body, to fill the vacancy.
(4) However, a member of the governing body shall not vote on his or her own appointment.
(5) This section does not apply to circumstances prescribed under § 14-43-501(a) or § 14-43-411(a).