The award-winning jazz instrumental theme was composed by Neal Hefti. The theme was used throughout the movie's sequel. Neal Paul Hefti (October 29, – October 11, ) was an American jazz trumpeter, composer, and arranger. He wrote music for The Odd Couple movie and TV series and for the Batman .. His theme for The Odd Couple movie was reprised as part of his score for the television series of the early s, as well as in a. odd-couple-getty. The tunes are forever stuck in your head—now check out the words that went with them. by Ralph Raffio Wednesday, May.