Welcome to Greenaway cinema. Having seen only his 'hit' The Cook the Thief His Wife & Her Lover(1989) and this, I cannot say much for the sum of his films. I will simply try to find and watch more film of his. His comments and quotes here in IMDb are impressive as well.
On to the film: Shot in Rome, it will thrill people with interest on architecture both visually, but thematically as well, well at least at some points. The musical score is stunning. It suits the theme and climax that Greenaway masterfully builds. As with The Cook the Thief His Wife & Her Lover, it is not various separate songs. All the soundtrack songs together form a thriumph of visual and audio art, suggesting my point about the importance of film soundtracks for an effective impact on viewer. This is a sad story, but it features some light points where joy and lust for life is celebrated - at least for my eyes and ears.
Those who criticise Greenaway for attempting only to shock the viewers have simply lost the point. Anyway. The Belly of an architect is no violent film, so it is highly recommended to those interested in films, maybe a bit 'arty', but with heart .