Sexagesimal Alignment in the Saros Cycle: A Base-60 Eclipse Prediction Interval — E8 Intelligence Research

FINDING: The Saros cycle (223 synodic months ≈ 242 draconic months ≈ 239 anomalistic months) is a sexagesimal-aligned eclipse prediction interval of 6585.3 days, with base-60 arithmetic as its computational substrate. | MATH: Saros period = 223 × 29.53059 d = 6585.3216 d ≈ 18 yr 11 d 8 h; 242 × 27.21222 d = 6585.357 d; 239 × 27.55455 d = 6585.537 d. In base-60: 6585.3 d = 2,3,45,18 (sexagesimal: 2×216000 + 3×3600 + 45×60 + 18). Eclipse recurrence requires integer alignment: 223S ≈ 242D ≈ 239A (mod 0.3 d). | CONNECTION: 223/242 ≈ 0.9215; 242/239 ≈ 1.0126; 223/239 ≈ 0.9331 — none are golden ratios, but the *difference* between Saros and 18 years (6585.3 − 6574.5 = 10.8 d) yields 10.8/6585.3 ≈ 0.00164, and the fractional day 0.3 d = 18 min = 1/200 of a day — a clean sexagesimal fraction (0;00,18 in base-60). The triple resonance (223, 242, 239) forms a near-commensurability lattice in 3D period space, analogous to crystallographic coincidence site lattices (CSL) in hexagonal systems. | DE Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-11
DOI
https://doi.org/10.5281/zenodo.22701574
Primary Topic
Stellar, planetary, and galactic studies
Type
preprint
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preprint

Sexagesimal Alignment in the Saros Cycle: A Base-60 Eclipse Prediction Interval — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Stellar, planetary, and galactic studies
preprint

Sexagesimal Alignment in the Saros Cycle: A Base-60 Eclipse Prediction Interval — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The Saros cycle (223 synodic months ≈ 242 draconic months ≈ 239 anomalistic months) is a sexagesimal-aligned eclipse prediction interval of 6585.3 days, with base-60 arithmetic as its computational substrate. | MATH: Saros period = 223 × 29.53059 d = 6585.3216 d ≈ 18 yr 11 d 8 h; 242 × 27.21222 d = 6585.357 d; 239 × 27.55455 d = 6585.537 d. In base-60: 6585.3 d = 2,3,45,18 (sexagesimal: 2×216000 + 3×3600 + 45×60 + 18). Eclipse recurrence requires integer alignment: 223S ≈ 242D ≈ 239A (mod 0.3 d). | CONNECTION: 223/242 ≈ 0.9215; 242/239 ≈ 1.0126; 223/239 ≈ 0.9331 — none are golden ratios, but the *difference* between Saros and 18 years (6585.3 − 6574.5 = 10.8 d) yields 10.8/6585.3 ≈ 0.00164, and the fractional day 0.3 d = 18 min = 1/200 of a day — a clean sexagesimal fraction (0;00,18 in base-60). The triple resonance (223, 242, 239) forms a near-commensurability lattice in 3D period space, analogous to crystallographic coincidence site lattices (CSL) in hexagonal systems. | DE Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Stellar, planetary, and galactic studies
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Sexagesimal Alignment in the Saros Cycle: A Base-60 Eclipse Prediction Interval — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS