Capsule (1) for the preparation of a beverage by centrifugation in a beverage preparation device; the capsule comprising: a generally concave outer wall (2) and a generally concave inner wall (3); each wall having a peripheral portion (4, 5) extending substantially revolutionary around a central axis (I) and a bottom portion (6, 7); a lid (18) extending transversally to said central axis (I) and covering said outer and inner walls (2, 3); and forming with said inner wall an inner cavity (8) containing beverage ingredients (9), an outer cavity (10) positioned between the inner and outer walls (2, 3).