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PreprintCC BY 4.0Zenodo

No Evidence for Babylonian Cotangent 2:1 Ratio or Sexagesimal Octave Harmonics — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

FINDING: Search returned no evidence of a "Babylonian cotangent 2:1 ratio" or sexagesimal harmonic octave mathematics; the query's target concept is absent from the retrieved corpus. | MATH: Only tangentially relevant item is BM 85200 no.6/no.7 and YBC 4669 B2 (cubic equations, Old Babylonian, sexagesimal). No cotangent tables, no 2:1 ratio, no octave-harmonic claim appears. | CONNECTION: None supported. Base-60 is present only as the ambient numeral system of the Babylonian cubics, not as a demonstrated harmonic/octave structure. | DEPTH: 1

FINDING: The remaining four results are unrelated to ancient mathematics — two are GNU Octave software papers (biomedical signal processing; fractional optimal control), two are modern algebraic-geometry cotangent complexes (FW-cotangent bundle; Frobenius–Witt cotangent complex). | MATH: Octave ≠ octave. "Cotangent" here denotes the cotangent bundle/complex in algebraic geometry and the cotangent function in control theory — homonyms, not the trig

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026evidence,
  title = {{No Evidence for Babylonian Cotangent 2:1 Ratio or Sexagesimal Octave Harmonics — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23659066},
  url = {https://zenodo.org/records/23659066},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - No Evidence for Babylonian Cotangent 2:1 Ratio or Sexagesimal Octave Harmonics — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23659066
UR  - https://zenodo.org/records/23659066
AB  - FINDING: Search returned no evidence of a "Babylonian cotangent 2:1 ratio" or sexagesimal harmonic octave mathematics; the query's target concept is absent from the retrieved corpus. | MATH: Only tangentially relevant item is BM 85200 no.6/no.7 and YBC 4669 B2 (cubic equations, Old Babylonian, sexagesimal). No cotangent tables, no 2:1 ratio, no octave-harmonic claim appears. | CONNECTION: None supported. Base-60 is present only as the ambient numeral system of the Babylonian cubics, not as a demonstrated harmonic/octave structure. | DEPTH: 1  FINDING: The remaining four results are unrelated to ancient mathematics — two are GNU Octave software papers (biomedical signal processing; fractional optimal control), two are modern algebraic-geometry cotangent complexes (FW-cotangent bundle; Frobenius–Witt cotangent complex). | MATH: Octave ≠ octave. "Cotangent" here denotes the cotangent bundle/complex in algebraic geometry and the cotangent function in control theory — homonyms, not the trig  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -