S.D. Codified Laws § 43-32-13
In all leases of lands or tenements or of any interest therein from month to month the landlord may, upon giving notice in writing at least thirty days before the expiration of the month, modify the terms of the lease to take effect at the expiration of the month. The notice, when served upon the tenant, shall of itself operate and be effectual to create and establish as a part of the lease the terms, rent, and conditions specified in the notice, if the tenant shall continue to hold the premises after the expiration of the month. The tenant may terminate his lease effective the first day of the next month by providing notice of termination to the landlord within fifteen days of receipt by the tenant of the notice of modification.
SDCL 43-32-13