The etymology of asperity is "rough." It is adapted from Middle English asprete, which was borrowed from the Anglo-French aspreté, and ultimately derives from the Latin word asper, which means "rough." Not only is asper the source of asperity, but it also underlies the English word exasperate (in fact, you can see asper nestled in the midst of that word). Although it is far less common than asperity and exasperate, the word asper itself is still occasionally used in English—it functions as a synonym of harsh, bitter, and stern.
Recent Examples on the WebBy the time Keane wrote Devoted Ladies, a note of asperity had crept into her fiction. Francine Prose, The New York Review of Books, 22 Nov. 2018 Imagine Don Draper’s grasp of American psychopathology delivered with the pithy asperity of Emily Dickinson. Megan O’grady, New York Times, 19 Oct. 2020
Word History
Etymology
Middle English asprete, from Anglo-French aspreté, from aspre rough, from Latin asper, from Old Latin *absperos, from ab- ab- + -speros; akin to Sanskrit apasphura repelling, Latin spernere to spurn — more at spurn entry 1