The Ming dynasty, under the Yongle emperor, and the Timurid Empire, under Shah Rukh, exchanged several embassies that provide some of the best written descriptions of these times.
Here‘s report of the Timurid legation from Ghiyāth al-dīn Naqqāsh: https://archnet.org/publications/5435
And the Ming legation from Ch’en Ch’eng (paywalled): https://www.tandfonline.com/doi/abs/10.1179/014703783788755467
Originally posted on facebook February of 2020