Answer: SKA

Ska is a style of music that originated in Jamaica in the 1950s and later evolved into reggae. It is characterized by a combination of Caribbean mento and calypso rhythms with elements of jazz, rhythm and blues, and rocksteady. Ska was known for its lively, upbeat tempo and prominent use of offbeat rhythms. The Clash, a British punk rock band, were influenced by ska in their music.

Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Genre influenced by calypso. Explanations are generated by AI and may be inaccurate.