S.D. Codified Laws § 9-13-27.4
Notwithstanding any other provisions of law, recounts of municipal ballot questions shall be conducted if, within five days after completion of the official canvass of a municipal ballot question election at which a question is approved or disapproved by a margin not exceeding two percent of the total votes cast in the election, any three registered voters of the municipality file a petition duly verified by such voters, setting forth that they believe a recount will change the outcome. The finance officer shall set the time and place for the recount to occur within ten days of the date of the receipt of the recount request. A recount board shall be appointed by the finance officer who shall appoint one person on each side of the question and one person who shall be mutually agreed upon by the other two appointed. Each representative to the recount board shall be named within three days of the receipt of the recount request by the finance officer. The recount shall be conducted according to the provisions of § 9-13-27.3.
SDCL 9-13-27.4