In the event that New Mexico is admitted into the union as a state prior to the Tuesday next after the first Monday in November in the year nineteen hundred and twelve, and if no provision has been made by the state legislature therefor, an election shall be held in the state on the said Tuesday next after the first Monday in November, nineteen hundred and twelve, for the election of presidential electors; and such election shall be held as herein provided for the election upon the ratification of this constitution, and the returns thereof made to, and canvassed and certified by, the state canvassing board as herein provided in case of the election of state officers.