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Jean-Pierre Bourtayre and Jean Bouchety are listed as the composers of this warm-moods-meets-fuzzy-tones monster, but two songs on Side B, "Baby You Know What You're Doing" and "Don't Tell Me", feature the Arthur Brown Set - yup, that Arthur Brown, three years pre-"The Crazy World Of..." His voice is instantly recognizable, though the band rocks more of a garagey go-go than the unstable prog-psych it would become known for.
It was also a first for Bourtayre and Bouchety, who would go on to compose for a handful of other French films and TV, though neither of them extended their careers much past the 80s. Both, however, are sought after "library" composers, and with this soundtrack, it's not hard to see how that came to be. (for a taste, head to Table-Tournante's Soul Train). Languorous sitar introduces the album, and the continual pairing with flute themes makes almost every song an enjoyable listen. Occasionally, the mood veers toward shimmying exploito fuzz, and also features a wide range of pleasing instrumentation that could mark it as a soundtrack, or even an early experiment in retro-lounge, and has all the elements in place for obscure sample-hungry DJs.
I haven't seen the movie yet, but don't anticipate it will be particularly enjoyable (although I'll admit, I do love the Vadim/Fonda combo in Barbarella). Either way, the music stands on its own, divorced from the movie (titled La Curee in French), a feat that some other, later psych/rock soundtracks achieved (most notably, Zabriskie Point and Performance). But as far as early entries go, The Game Is Over sure is a good start.