SDCL § 21-52-22: Successive extensions of time on successive redemptions.

If a redemption be made less than sixty days before the right, or extended right, of redemption expires, all holders of liens junior to that under which redemption is made have sixty days from such redemption in which to redeem, even after the expiration of the full period of redemption; and the property may, as often as any party having the right to redeem is disposed, be redeemed within sixty days after the last preceding redemption. The right of redemption given by this section need not be exercised in the order of priority of liens, but may be exercised by any person having the right to redeem.