All ordinances shall be recorded in an index book marked “City Ordinances”, and a record of each ordinance shall be authenticated by the signatures of the Mayor and City Clerk. Such record and authentication shall be done within thirty (30) days after the final passage of any ordinance. If any ordinance, other than an emergency ordinance, is not authenticated and recorded within thirty (30) days after final passage, the ordinance shall not take effect until seven (7) days after notice has been published in a local newspaper of general circulation in the City that the ordinance has been properly authenticated and recorded.