
All nine charged fermion masses are derived from the E8 root lattice with zero free parameters. Three structural formulae govern the complete spectrum. Leptons: m_{\tau}=v\epsilon_{E8}^{11/8}/\sqrt{2}=1790 MeV (0.75%), where e_{3}=11 is the third E8 exponent and rank(E8)=8; m_{\mu}=m_{\tau}\cdot4(1-2\epsilon_{E8})/63=105.5 MeV (0.13%); m_{e}=m_{Pl}\sqrt{\alpha_{G}} (Agyemang 2026g, 0.060%). Down-type quarks: m_{d}:m_{s}:m_{b}=|V_{us}|^4:|V_{us}|^2:e_{2}/N_{gen} (in units of m_{\tau}), giving 4.54, 90.2, 4177 MeV (all within 0.64\sigma). Up-type quarks: m_{t}=v(1-2\pi\epsilon_{E8}^2)/\sqrt{2} (Agyemang 2026, EPSILON); m_{u}=m_{t}|V_{ub}|^2=2.22 MeV (0.15\sigma); m_{c}=m_{u}\cdot e_{8}/|V_{us}|^2=1276 MeV (0.31 \sigma), where e_{8}=29 is the final E8 exponent.
