Theoretical analysis reveals a 52,405-month modular lattice underlying Babylonian eclipse prediction, indicating deep three-frequency commensurability in base-60 arithmetic.
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
No takes yet. Share an insight, caveat, or question.
Andrew Stewart Caldin (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: