City Island is on the western end of Long Island Sound, just south of Pelham Bay Park, looks like the illegitimate child of Nantucket and Hunts Point Avenue. It contains what is probably the city’s densest concentration of yacht clubs, and seafood restaurants. The Nautical Museum is in a nineteenth-century building that used to be a public school. Many of the museum’s exhibits pertain to local nautical history. Oyster farming was invented on City Island, back in the eighteen-thirties. Later, the island’s economy was dominated by boatbuilding and sailmaking.