Tenn. Const. art. VII, § 5

Elections for Judicial and other civil officers shall be held on the first Thursday in August, one thousand eight hundred and seventy, and forever thereafter on the first Thursday in August next preceding the expiration of their respective terms of service. The term of each officer so elected shall be computed from the first day of September next succeeding his election. The term of office of the Governor and other executive officers shall be computed from the fifteenth of January next after the election of the Governor. No appointment or election to fill a vacancy shall be made for a period extending beyond the unexpired term. Every officer shall hold his office until his successor is elected or appointed, and qualified. No special election shall be held to fill a vacancy in the office of Judge or District Attorney, but at the time herein fixed for the biennial election of civil officers, and such vacancy shall be filled at the next Biennial election recurring more than thirty days after the vacancy occurs.