YSL Private Carmine (204) is a cool red with a satin finish that is permanent and retails for $39.00. In comparison, YSL Rouge Paradoxe (21) is a neutral red with a matte finish that is permanent and retails for $39.00.
YSL Rouge Paradoxe (21) is 90% similar — it is less shimmery, darker, warmer, less glossy.