Jordan superalgebras defined by brackets on associative commutative superalgebras are studied. It is
proved that any such superalgebra is imbedded into a superalgebra defined by Poisson brackets. In
particular, all Jordan superalgebras of brackets are i-special. The speciality of these superalgebras is also
examined, and it is proved, in particular, that the Cheng–Kac superalgebra is special.