Babylonian Reciprocal Tables: igi-n-gál and igi-te-en in Base-60 Mathematics — E8 Intelligence Research

FINDING: The only mathematically substantive item is the arXiv paper on Sumerian/Babylonian fraction terminology (igi-n-gál and igi-te-en); the YouTube titles are speculative archaeology/entertainment with no verifiable mathematical content. | MATH: igi-n-gál = reciprocal of n (1/n); igi-te-en = proportion (a/b). Babylonian base-60 reciprocals: standard pairs (2,30), (3,20), (4,15), (5,12), (6,10) — all satisfying n × (60/n) = 60. The reciprocal table structure implies the identity: 1/n = m/60 where m = 60/n, requiring n to divide 60 (regular numbers). | CONNECTION: Base-60 is the root of sexagesimal geometry — 60 = 2²×3×5, whose divisors generate the regular numbers used in Babylonian astronomy. The reciprocal pairs map to harmonic ratios: 30/60 = 0.5, 20/60 = 0.333, 15/60 = 0.25, 12/60 = 0.2, 10/60 = 0.1667. No direct link to 0.382, 0.618, 0.786, 1.618, 2.618 appears in the source material. The "star gate corridor" claims in the video titles contain no extractable equations, constant 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
2026-09-30
DOI
https://doi.org/10.5281/zenodo.23052147
Primary Topic
Ancient Near East History
Type
preprint
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Babylonian Reciprocal Tables: igi-n-gál and igi-te-en in Base-60 Mathematics — E8 Intelligence Research

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

Babylonian Reciprocal Tables: igi-n-gál and igi-te-en in Base-60 Mathematics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The only mathematically substantive item is the arXiv paper on Sumerian/Babylonian fraction terminology (igi-n-gál and igi-te-en); the YouTube titles are speculative archaeology/entertainment with no verifiable mathematical content. | MATH: igi-n-gál = reciprocal of n (1/n); igi-te-en = proportion (a/b). Babylonian base-60 reciprocals: standard pairs (2,30), (3,20), (4,15), (5,12), (6,10) — all satisfying n × (60/n) = 60. The reciprocal table structure implies the identity: 1/n = m/60 where m = 60/n, requiring n to divide 60 (regular numbers). | CONNECTION: Base-60 is the root of sexagesimal geometry — 60 = 2²×3×5, whose divisors generate the regular numbers used in Babylonian astronomy. The reciprocal pairs map to harmonic ratios: 30/60 = 0.5, 20/60 = 0.333, 15/60 = 0.25, 12/60 = 0.2, 10/60 = 0.1667. No direct link to 0.382, 0.618, 0.786, 1.618, 2.618 appears in the source material. The "star gate corridor" claims in the video titles contain no extractable equations, constant Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
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Ancient Near East History
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