Babylonian Eclipse Prediction: Saros and Metonic Cycles in Cuneiform Arithmetic, Not Geometry — E8 Intelligence Research

FINDING: Babylonian eclipse prediction relied on the Saros cycle (18 years, 11 days, 8 hours) and the Metonic cycle (19 years), encoded in cuneiform arithmetic progressions, not geometric models. | MATH: Saros = 223 synodic months ≈ 242 draconic months ≈ 239 anomalistic months; 223 × 29.53059 d = 6585.321 d; 242 × 27.21222 d = 6585.357 d; 239 × 27.55455 d = 6585.537 d. Metonic = 235 synodic months = 19 tropical years (6939.688 d vs 6939.602 d). Babylonian goal-year texts used linear zigzag functions: period P = 223, amplitude A = 2°38′ (2.633°), with difference sequences Δ = ±(A/P) per day. | CONNECTION: Saros 6585.321 d ≈ 18.03 years — the 0.321 day fraction yields a 1/3-day shift, aligning eclipse visibility with Earth's rotation (trigonometric triads). The 223-month period is prime; 223 = 6×37 + 1, linking to base-60 sexagesimal (60×37 = 2220, +3 = 2223 = 9×247). The ratio 223/242 ≈ 0.9215, and 242/239 ≈ 1.0126 — both near unity, but the key harmonic is 223/235 ≈ 0.949 (Saros/Metoni Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com