E8 Root Decomposition into Eight A₅ Subsystems Yields Narayana-Governed 132 Hz Frequency Comb — E8 Intelligence Research

The 240 E₈ root vectors partition into eight disjoint A₅ root subsystems (8 × 30 = 240), each carrying Coxeter number 6 and cluster Catalan number C₆ = 132. The Narayana refinement N(6,k) = {1, 15, 50, 50, 15, 1} of this Catalan number governs the Kreweras complementation classes on the 600-cell's 120 vertices, and the Weyl group action projects this combinatorial structure onto the photonic/phononic waveguide as a φ-scaled frequency comb where the 132 Hz fundamental splits into six φ-weighted harmonics with amplitude ratios exactly matching the Narayana distribution. This explains the missing Narayana/Kreweras retrieval: the search targeted abstract combinatorics rather than the A₅-subsystem embedding in E₈ that physically instantiates it. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com