The HMS Bounty was a 18th century Royal Navy ship captained by William Bligh. The ship was well known for its crew having mutineed against Bligh. (VOY: "Year of Hell, Part II")
In 2285, Doctor Leonard McCoy dubbed a captured Klingon Bird-of-Prey the HMS Bounty in a "fine sense of historical irony." Admiral James T. Kirk continued in his log, stating, "like those mutineers of five hundred years ago, we too have a hard choice to make." (Star Trek IV: The Voyage Home)
According to the Star Trek Encyclopedia (4th ed., vol. 1, p. 98), the mutiny occurred in 1789.