Article 17: Derivation of the Galactic Integer Level $ N_0 $ from the PEW Harmonic Table — Hubble Horizon, Cosmic Hierarchy and the $ \log_\varphi(3/2) $ Identity

Starting from the PEW harmonic table and the Hubble horizon level, we derive the integer galactic harmonic level N_0 ≈ 171 via the compact formula N_0 = Λ_PEW · (n_gal - n_ξ) - 1/φ, with a residual of only 0.002% compared to SPARC data. We show that galaxies occupy the stable level n_gal = 25 + log_φ(3/2) = 25.8426 in the harmonic table. The descent from the Hubble horizon (n_H = 28.51) to the galactic scale spans exactly 2.67 harmonic steps without crossing any topological hole. This closes PO-Cosmo-1 at level [A] for the algebraic formula and [B] for the hierarchical interpretation.