The subject-matter of the invention is a cosmetic method for scenting a human keratinous substance which consists in applying, to the said substance, a scenting composition comprising, in a cosmetically acceptable medium, at least 0.3% by weight of at least one scenting substance and at least particles of an expanded amorphous mineral material and in particular of an expanded amorphous mineral material resulting from at least one volcanic rock and more particularly expanded perlite particles.Another subject-matter of the present invention is a cosmetic method for treating human body odors, in particular axillary odors, which consists in applying, to the surface of the skin, an effective amount of the said composition.The invention relates to specific scenting compositions comprising, in a cosmetically acceptable medium:a) at least 0.3% by weight, with respect to the total weight of the composition, of a scenting substance;b) at least the said particles.