the son of Husayn Bayqarah, who was a great-great-grandson  of the man historically known as Amir Timur and Tamerlane, was the ruler of where?
Badi' al-Zaman Mirza Badi' al-Zaman Mirza (Persian: بدیع الزمان‎ ‎ ; died 1514) was a Timurid ruler of Herat from 1506 to 1507. He was the son of Husayn Bayqarah, who was a great-great-grandson of Timur Beg.
Dayan Khan Dayan Khan (Mongolian: Даян Хаан ) (given name: "Batumöngke"; 1464–1517/1543) was a Mongol khan who reunited the Mongols under Chinggisid supremacy in the Northern Yuan dynasty based in Mongolia. His reigning title, "Dayan", means the "Great Yuan", as he enthroned himself as Great Khan of the Great Yuan, though the Yuan dynasty, the principal khanate of the Mongol Empire, had already been overthrown by the Chinese Ming dynasty a century earlier (1368).