Since the Amiga had the most powerful audio capabilities at the time, Hülsbeck most likely composed the song with this platform in mind. Also, an advertisement for the Amiga version announces the C64 version as coming soon.
The superior 8364 audio chip gives the song the highest fidelity sound of any of the ports.
The Atari ST port outputs the music on a YM2149.
The Commodore 64 port outputs the music to the 6581.
Hülsbeck stated in a 2005 chat he did not want to do C64 stuff by 1989 or 1990 anymore, and you can tell since the second half of the song is missing and the bass is less elaborate, leaving only notes that are combined with bass drums, and more audibly so than on the Amiga.
Hülsbeck sent the song to HVSC in February 1998 as VW-Title. VW are also the initials of game designer and Amiga programmer Volker Wertich.
For the DOS port, Matthias Steinwachs converted the song into Ad-Lib's ROL format. Unfortunately, his conversion process lost a lot of the instrumentation near the middle of the song. It's played on an OPL2 chip.