Convergence to the conjectured density 1/2, quantified: ρ_> and ρ_< agree to within ~5×10⁻⁷ at every recorded scale and both approach 1/2 strictly from below; the equal-gap share decays like ρ_= ≈ 0.55/log x across 10⁹→10¹³ (0.026125 → 0.018696), so ρ_≥ = 1/2 + ρ_=/2 + O(10⁻⁶) ≈ 1/2 + 0.28/log x. Descriptive fit over the computed range; consistent with Banks-type quantitative-tuples heuristics.