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Koji Kondo is a renowned Japanese composer best known for his work on the music for various Nintendo video games, including the Super Mario series. However, the specific compositions for Super Mario Bros. 3, such as the Hammer Bros. theme, were not directly composed by Koji Kondo. The music for Super Mario Bros. 3 was primarily composed by Kondo's colleague, Kenta Nagata.

That said, Koji Kondo has made significant contributions to the overall music of the Super Mario series, creating iconic tunes that have become synonymous with the franchise. His work on the original Super Mario Bros. theme in 1985 is particularly famous and is one of the most recognizable pieces in the history of video game music.