Babylonian Eclipse Prediction via Saros and Metonic Cycles in Cuneiform Arithmetic — E8 Intelligence Research

FINDING: Babylonian eclipse prediction relied on the Saros cycle (223 synodic months ≈ 18.03 years) and the Metonic cycle (235 months ≈ 19 years), encoded in cuneiform arithmetic progressions — not geometric models. | MATH: Saros: 223 × 29.53059 d = 6585.32 d ≈ 18 yr 11 d 8 h; Metonic: 235 × 29.53059 d = 6939.69 d ≈ 19 yr; also 239 anomalistic months ≈ 6585.54 d (eclipse return with same magnitude/distance). Babylonian sexagesimal base-60 used for fractional days (e.g., 29;31,50,8,20 days for lunation). | CONNECTION: The Saros ratio 223/235 ≈ 0.9489 — not a golden ratio, but the 18.03-year cycle aligns with 223 lunations and 242 draconic months (223/242 ≈ 0.9215), producing eclipse recurrence. The base-60 system is a harmonic lattice: 60 = 2²×3×5, enabling exact division by 2,3,4,5,6,10,12,15,20,30 — a crystallographic-like symmetry in arithmetic. The 0.618/1.618 ratios do NOT appear in the core method; the key harmonic is the near-integer commensurability of 223:242:239 (synodic:draco Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com