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Note-wise, it's a rather direct scent:
Top: bergamot
Heart: jasmine, gardenia, tuberose, neroli
Base: woody notes
(These notes are from the Guerlain site itself. Interestingly, osMoz lists notes that are almost completely different...in fact, it does not list tuberose, jasmine, or gardenia. Instead, for the heart, it lists narcissus, cassie, iris, and lily of the valley. All I can say is, I don't think so. Some of these notes could be present, but there's no mistaking tuberose--it's there as well. I hate that different sites offer such vastly different notes.)
But scent-wise--it's still direct, but it's also something else. To be honest, I don't care much for Jardins de Bagatelle. I find it sort of...artificial. It has none of the sexy playfulness of a white floral like Fracas, none of the grace and gentility of a white floral like Songes, none of the airy beauty of La Chasse. It's a no-holds-barred power suit of a scent, a scent that gets its way. Quite frankly, taken in the context of the age in which it was created, this scent is Joan Collins. The bergamot at the top feels slightly candied, like a shell around the middle notes where tuberose dominates and is spiced by the jasmine. Neroli adds no relief or sparkle. If you'll pardon the expression, this is balls-to-the-walls white floral. Of course it's well done, but it is decidedly not my cup of tea.
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*images from discoverfrance.net and imdb.com