Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

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The Saros cycle is a rational integer resonance of lunar periods (223 synodic, 242 draconic, and 239 anomalistic months) that has no mathematical connection to the golden ratio or irrational harmonics. Novelty: ClaimNovelty.CONTRADICTORY. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22732510

September 13, 2026Open Access

Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

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Key Points

To determine whether the astronomical Saros cycle governing lunar and solar eclipse recurrences contains golden ratio proportions or exists strictly as a rational integer resonance.
Calculated exact orbital duration equivalents for 223 synodic months (6585.3211 days), 242 draconic months (6585.3575 days), and 239 anomalistic months (6585.5376 days).
Evaluated numerical period ratios (223/242, 242/223, and 239/223) and base-60 sexagesimal decompositions to assess claims of golden ratio harmonics or geometric symmetries.
Ratios between Saros components yielded values of 223/242 = 0.9215, 242/223 = 1.0852, and 239/223 = 1.0717, showing no mathematical convergence toward the golden ratio (phi = 1.618) or its inverse (0.618).
Sexagesimal decompositions (223 = 3×60 + 43, 242 = 4×60 + 2, and 239 = 3×60 + 59) revealed no deliberate or structured base-60 mathematical elegance beyond coincidental integer values.
Confirmed that the Saros cycle functions exclusively as an empirical rational integer resonance (223:242:239) rather than an irrational or crystallographic harmonic.

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Implication

Astronomical analysis reveals near-exact integer resonance in lunar orbital periods without golden ratio connections, highlighting that eclipse cycles stem entirely from rational harmonics.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6aa7b42d0926e14a848b3cda https://doi.org/10.5281/zenodo.22732510

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Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

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Saros Cycle: Near-Exact Lunar Resonance, No Golden Ratio Connection — E8 Intelligence Research

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