It was the Joseon Dynasty. The Dynasty rulers during the 1700's were, in this order: King Sukjong (1674–1720), King Gyeongjong (12 July 1720 – October 1724), Yeongjo of Joseon (16 October 1724 – 22 April 1776) and Jeongjo of Joseon (27 April 1776 – 18 August 1800).
