FINDING: Antikythera mechanism uses Metonic, Saros, and Callippic cycles with gear ratios encoding lunar-solar synodic periods; AI reconstruction reveals missing planetary dials for Venus and Mercury. MATH: - Metonic cycle: 19 tropical years ≈ 235 synodic months → gear ratio 19:235 (or 254:19 in some trains). - Saros cycle: 223 synodic months ≈ 18.03 years → gear ratio 223:? (fragmentary). - Callippic cycle: 4 × Metonic = 76 years = 940 months → ratio 76:940 = 1:12.3684. - Gear counts: e.g., 64:38 = 1.6842, 48:24 = 2.0, 127:? (prime 127 appears in lunar mechanism). - AI reconstruction: missing planetary gears likely used epicyclic ratios approximating synodic periods (e.g., Venus 584 days, Mercury 116 days) via nested gear trains. CONNECTION: - Gear ratios approximate golden ratio harmonics indirectly: 1.618 appears in some gear tooth counts (e.g., 64/39.5 ≈ 1.62, but not exact). - Base-60 influence: Babylonian sexagesimal system underlies degree divisions (360°), zodia Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Andrew Stewart Caldin (Wed,) studied this question.
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