  Fast and accurate resolution of electromagnetic problems via the \ac{BEM} is
oftentimes challenged by conditioning issues occurring in three distinct
regimes: (i) when the frequency decreases and the discretization density
remains constant, (ii) when the frequency is kept constant while the
discretization is refined and (iii) when the frequency increases along with the
discretization density. While satisfactory remedies to the problems arising in
regimes (i) and (ii), respectively based on Helmholtz decompositions and
Calder\'on-like techniques have been presented, the last regime is still
challenging. In fact, this last regime is plagued by both spurious resonances
and ill-conditioning, the former can be tackled via combined field strategies
and is not the topic of this work. In this contribution new symmetric scalar
and vectorial electric type formulations that remain well-conditioned in all of
the aforementioned regimes and that do not require barycentric discretization
of the dense electromagnetic potential operators are presented along with a
spherical harmonics analysis illustrating their key properties.
