John Williams is perhaps the most widely known orchestral composer due to his long career of music authoring for films, including Star Wars, Close Encounters of the Third Kind, and Saving Private Ryan.
One associates Williams with grand, dramatic spectacles that use a whole orchestra to emotionally enrapture audiences, not...calypso.
But that's what he made when Sherwood Schwartz's 1964-1967 sitcom Gilligan's Island. Williams introduced the characters and premise for the pilot episode. Schwartz disliked it and instead went with the more familiar version by George Wyle.
Wyle's version written in the standard "ballad metre", which is why it's possible to sing it to the tune of "Amazing Grace" and "The House of the Rising Sun."