  In this paper, we consider the ideal magnetic B\'{e}nard problem in both two
and three dimensions and prove local-in-time existence and uniqueness of strong
solutions in $H^s$ for $s > \frac{n}{2}+1, n = 2,3$. In addition, a necessary
condition is derived for singularity development with respect to the $BMO$-norm
of the vorticity and electrical current, generalising the Beale-Kato-Majda
condition for ideal hydrodynamics.
