Saros Cycle: No Golden Ratio or Base-60 Link in Cited Sources — E8 Intelligence Research

FINDING: The Saros cycle (223 synodic months ≈ 6585.3 days) is a near-exact commensurability of lunar phases, draconic months, and anomalistic months — but shows **no** direct golden-ratio or base-60 relationship in the cited sources; the golden-ratio paper is unrelated to Babylonian astronomy. | MATH: Saros = 223 synodic months = 242 draconic months = 239 anomalistic months; 6585.3211 days (≈18.03 tropical years); 1/3 day remainder shifts eclipse path 120° west. Metonic cycle = 235 synodic months = 19 tropical years (6939.6 days). | CONNECTION: None found in evidence — no 0.618, 0.382, 0.786, 1.618, 2.618, or base-60 ratios appear in the Saros data. The 120° shift is a 3-fold rotational symmetry (crystallographic point group C3), but that is a geometric consequence of Earth's rotation, not a harmonic ratio. | DEPTH: 2 — the Saros is a profound *empirical* coincidence (integer ratios of three lunar periods), but the search query's premise (golden ratio in Saros) is unsupported by the p 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
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22748337
Primary Topic
Ancient Near East History
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

Saros Cycle: No Golden Ratio or Base-60 Link in Cited Sources — E8 Intelligence Research

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

Saros Cycle: No Golden Ratio or Base-60 Link in Cited Sources — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The Saros cycle (223 synodic months ≈ 6585.3 days) is a near-exact commensurability of lunar phases, draconic months, and anomalistic months — but shows **no** direct golden-ratio or base-60 relationship in the cited sources; the golden-ratio paper is unrelated to Babylonian astronomy. | MATH: Saros = 223 synodic months = 242 draconic months = 239 anomalistic months; 6585.3211 days (≈18.03 tropical years); 1/3 day remainder shifts eclipse path 120° west. Metonic cycle = 235 synodic months = 19 tropical years (6939.6 days). | CONNECTION: None found in evidence — no 0.618, 0.382, 0.786, 1.618, 2.618, or base-60 ratios appear in the Saros data. The 120° shift is a 3-fold rotational symmetry (crystallographic point group C3), but that is a geometric consequence of Earth's rotation, not a harmonic ratio. | DEPTH: 2 — the Saros is a profound *empirical* coincidence (integer ratios of three lunar periods), but the search query's premise (golden ratio in Saros) is unsupported by the p 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
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Saros Cycle: No Golden Ratio or Base-60 Link in Cited Sources — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS