  Starting from the Jordan algebraic interpretation of the "Magic Star"
embedding within the exceptional sequence of simple Lie algebras, we exploit
the so-called spin factor embedding of rank-3 Jordan algebras and its
consequences on the Jordan algebraic Lie symmetries, in order to provide
another perspective on the origin of the "Exceptional Periodicity" (EP) and its
"Magic Star" structure. We also highlight some properties of the special class
of Vinberg's rank-3 (dubbed exceptional) T-algebras, appearing on the tips of
the "Magic Star" projection of EP(-generalized, finite-dimensional,
exceptional) algebras.
