  We study $ { \mathrm{ SU } ( p + 1 ) \times \mathrm{ SU } ( n - p ) }
$-equivariant maps between complex projective spaces. For every $ { n, p \in
\mathbb{ N } } $ with $ { 0 \leq p < n } $, we construct two explicit families
of uncountable many harmonic self-maps of $ \mathbb{ CP }^n $, one given by
holomorphic maps and the other by maps that are neither holomorphic nor
antiholomorphic. We prove that each solution is equivariantly weakly stable and
explicitly compute the equivariant spectrum for some specific maps in both
families.
