The purpose of this article is to propose a new design for the presentation of the periodic system of the elements. It is a system that highlights the fundamental importance of elements as basic substances rather than elements as simple substances, a distinction that is explained in the article. The proposed table is a variant of the Janet or left-step periodic table. Furthermore the fundamental nature of atomic number triads of elements is put to use in obtaining a new perfect triad by relocating hydrogen among the halogens to give the triad H, F, Cl. The relative virtues of this table, as compared with the medium-long form and the left-step table, are discussed. (Contains 1 note and 3 figures.)