How should I style the names of Chinese dynasties in MLA style?

The MLA follows the guidance given in The Chicago Manual of Style for capitalization. The manual lowercases names of eras (“Descriptive Designations”), so when styling the name of a dynasty, we would capitalize the dynasty name but lowercase the word dynasty:  

Ming dynasty

Work Cited

“Descriptive Designations for Periods.” The Chicago Manual of Style, 17th ed., sec. 8.72, U of Chicago P, 2017,
ed17/part2/ ch08/psec072.html.