Precision Gearing in the Antikythera Mechanism Encodes Lunar-Solar Cycles and Eclipses — E8 Intelligence Research

FINDING: The Antikythera Mechanism encodes a lunisolar calendar and eclipse prediction via gear ratios that reduce to exact rational approximations of astronomical periods, with the front zodiac dial ring divided into 360° with 72 subdivisions per sign. | MATH: Key gear ratios from known reconstructions: 64:38 (Synodic month/Saros), 53:96 (Metonic cycle), 19-year cycle = 235 synodic months (Metonic: 235/19 = 12.368421...), 76-year Callippic = 4×19, 18.6-year Saros = 223 synodic months (223/12.368 = 18.03 yr), 54-year Exeligmos = 3×Saros. The 64-tooth gear (g1) drives the 38-tooth (g2) giving 64/38 = 1.68421, which when combined with other gears yields the 254:19 ratio for the Metonic pointer (254/19 = 13.3684 ≈ 235/19 + 1). The zodiac ring: 360° / 12 signs = 30° per sign, with 72 tick marks per sign (360/5 = 72) — a base-60 derived subdivision (60×6 = 360, 72 = 6×12). | CONNECTION: The 72 subdivisions per zodiac sign echo the 72-year precession constant (1° per 72 years) and the 72 nam Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22951684
Primary Topic
Historical Astronomy and Related Studies
Type
preprint
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Precision Gearing in the Antikythera Mechanism Encodes Lunar-Solar Cycles and Eclipses — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Historical Astronomy and Related Studies
preprint

Precision Gearing in the Antikythera Mechanism Encodes Lunar-Solar Cycles and Eclipses — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The Antikythera Mechanism encodes a lunisolar calendar and eclipse prediction via gear ratios that reduce to exact rational approximations of astronomical periods, with the front zodiac dial ring divided into 360° with 72 subdivisions per sign. | MATH: Key gear ratios from known reconstructions: 64:38 (Synodic month/Saros), 53:96 (Metonic cycle), 19-year cycle = 235 synodic months (Metonic: 235/19 = 12.368421...), 76-year Callippic = 4×19, 18.6-year Saros = 223 synodic months (223/12.368 = 18.03 yr), 54-year Exeligmos = 3×Saros. The 64-tooth gear (g1) drives the 38-tooth (g2) giving 64/38 = 1.68421, which when combined with other gears yields the 254:19 ratio for the Metonic pointer (254/19 = 13.3684 ≈ 235/19 + 1). The zodiac ring: 360° / 12 signs = 30° per sign, with 72 tick marks per sign (360/5 = 72) — a base-60 derived subdivision (60×6 = 360, 72 = 6×12). | CONNECTION: The 72 subdivisions per zodiac sign echo the 72-year precession constant (1° per 72 years) and the 72 nam Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Historical Astronomy and Related Studies
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