Dependence of expected heterozygosity on locus number with stabilizing selection and drift

I determine expected levels of heterozygosity in two allele multilocus models with mutation, stabilizing selection and drift. In the range 2 to 32 loci, the per locus heterozygosity can depend on the locus number. The per locus heterozygosity for ten loci can be as low as three fourths of the per locus heterozygosity in the limit, as the number of loci gets large. Simulations indicate that this dependence on locus number is not due to the population approaching equilibria at which the mean differs from the optimum, but is due to changes in the substitution rate as a function of the number of loci.