Wrong composer, but I very recently managed to reverse engineer the music driver for Dune (or two out of four, at least).
Here's the AdLib/SoundBlaster Pro version of the track Morning played by a reverse engineered driver, rendered by nukeykt's Nuked-OPL3.
Well open the Pico8 game, start it and you’ll see it mixes patterns (and imagery perhaps) of original Dune and this Dune II. So partially right, but start a game on the pico8, listen, and you’ll figure it is a version of the same Dune theme.