  Allowing for $2$$\hbar \omega$ admixtures in $^4\mbox{He}$ we find that the
summed magnetic dipole isovector orbital and spin strengths are equal. This
indicates a symmetry which is associated with interchanging the labels of the
spin with those of the orbit. Where higher admixtures are included, the orbital
sum becomes larger than the spin sum, but the sums over the low energy region
are still nearly the same.
