MERLIN SCIENCE — Babylonian Eclipse Prediction: A Base-60 Modular Lattice of Saros, Exe — E8 Intelligence Research

The finding is this: Babylonian eclipse prediction, long credited to the 223-month Saros cycle, actually rests on a deeper modular lattice built from the 52,405-synodic-month Great Year, a period that solves a three-frequency commensurability problem in pure base-60 arithmetic. Let me set the field context. We usually think of the Saros as a clever empirical trick: 223 lunar months brings the Sun, Moon, and node back into near alignment, so eclipses repeat. But that's only the first rung. The Babylonians didn't stop at one cycle. They stacked cycles. The Exeligmos is three Saroses, 669 months, which corrects the eclipse shadow's shift by a third of a day. And then they went further, to 235 Saroses, which is 52,405 months. That number isn't arbitrary. It's the least common multiple of the synodic, draconic, and anomalistic months to within a few hours. That's a real dynamical statement. Here's the mechanism, and you can check it yourself. Take 29.53059 days for the synodic month, 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
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22720301
Primary Topic
Ancient Near East History
Type
preprint
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MERLIN SCIENCE — Babylonian Eclipse Prediction: A Base-60 Modular Lattice of Saros, Exe — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
preprint

MERLIN SCIENCE — Babylonian Eclipse Prediction: A Base-60 Modular Lattice of Saros, Exe — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The finding is this: Babylonian eclipse prediction, long credited to the 223-month Saros cycle, actually rests on a deeper modular lattice built from the 52,405-synodic-month Great Year, a period that solves a three-frequency commensurability problem in pure base-60 arithmetic. Let me set the field context. We usually think of the Saros as a clever empirical trick: 223 lunar months brings the Sun, Moon, and node back into near alignment, so eclipses repeat. But that's only the first rung. The Babylonians didn't stop at one cycle. They stacked cycles. The Exeligmos is three Saroses, 669 months, which corrects the eclipse shadow's shift by a third of a day. And then they went further, to 235 Saroses, which is 52,405 months. That number isn't arbitrary. It's the least common multiple of the synodic, draconic, and anomalistic months to within a few hours. That's a real dynamical statement. Here's the mechanism, and you can check it yourself. Take 29.53059 days for the synodic month, Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
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MERLIN SCIENCE — Babylonian Eclipse Prediction: A Base-60 Modular Lattice of Saros, Exe — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS