Unless otherwise stated in the act or resolution calling such election, whenever any special election is ordered by the Legislature upon any proposed amendment or amendments to the Constitution of Alabama of 1901, and the amendment affects only one municipality in this state, and if no amendment or amendments other than those affecting the municipality are submitted to the voters of the state at the election, the expense of holding such election, including the cost of publishing the notices and proclamation required by the Constitution of Alabama of 1901, shall be paid by such municipality.