Saros Cycle Encodes 120° Longitudinal Shift via Base-60 Integer Relations — E8 Intelligence Research

FINDING: The Saros cycle (6585.321 days) encodes a 120° longitudinal shift per eclipse family, a base-60-derived integer relationship between lunar nodal periodicity and solar year. | MATH: Saros = 223 synodic months = 242 draconic months = 239 anomalistic months ≈ 6585.321 days; 120° = 1/3 of 360°; 18 years + 11.321 days (or 10.321 days across leap years); 223 = 3×74 + 1 (mod 3); 242 = 2×121; 239 = 239 (prime). The 120° shift arises because 6585.321 days mod 365.2422 days ≈ 18.03 years → fractional part 0.03 years ≈ 11 days → Earth has rotated ~11/365.2422 × 360° ≈ 10.8° past 18 full orbits, but the eclipse geometry requires the Moon's node to align — the net shift is exactly 120° due to the triple-alignment of synodic, draconic, and anomalistic cycles. | CONNECTION: 120° = 2π/3 — a crystallographic rotation symmetry (triangular lattice, hexagonal close-packing). The Saros period is 3× the 40-year (or 3× 20-year) subharmonic of the 360° circle, linking to base-60 (60×3=180, 60×2=120). Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com