FINDING: Babylonians discovered the Saros cycle (223 synodic months = 242 draconic months = 239 anomalistic months = 6585.3211 days) and developed sexagesimal arithmetic progressions (System A/B) to model lunar velocity variations, enabling eclipse prediction to within minutes without geometric cosmology. MATH: Saros: 223 × 29;31,50,8,20 = 6585;19,16,48 days (sexagesimal). System B lunar velocity: v(φ) = v₀ + d·φ (linear zigzag, φ = mean anomaly). Key periods in base-60: Synodic M = 29;31,50,8,20 | Draconic D = 27;12,43,55 | Anomalistic A = 27;33,16,32. Eclipse condition: |β| < 1° at syzygy (β = lunar latitude from node). Goal-Year relation: 19 years = 235 M = 254 D = 255 A (Metonic). CONNECTION: Base-60 throughout. 223/242 ≈ 0.9215 (no φ-ratio). 239/223 ≈ 1.0717. 242/223 ≈ 1.0852. No φ, √φ, or crystallographic symmetries detected in the eclipse periods themselves. The arithmetic zigzag (System B) is a discrete Fourier precursor — piecewise linear approximation of lunar equation of c Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Andrew Stewart Caldin (Sun,) studied this question.