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June 20, 2026British Journal for the History of Mathematics0 citations

Unlocking the mathematical algorithms behind the Ethiopian orthodox tewahedo church calendar

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HTHilluf Reddu TegegneAAAmanuel Weldu AsemehegnKGKibrom Gebrehiwot Gebremeskel

Key Points

  • The research aims to formalize the mathematical algorithms of the Ethiopian Orthodox Tewahedo Church calendar to make them accessible.
  • Conducted expert interviews in Tigray to extract core procedures.
  • Systematically documented mathematical algorithms related to the calendar.
  • Deconstructed cycles related to solar-lunar discrepancies for movable feasts.
  • Elucidated the theological chronology of Amete Alem through formalized algorithms.
  • Demonstrated the application of algorithms like Abeqte and Metqie for calculating movable feasts.
  • Successfully translated ancient knowledge into a standardized format for scholarly use.

Abstract

This study bridges a critical gap by formalizing the mathematical algorithms of the Ethiopian Orthodox Tewahedo Church’s (EOTC) calendar, the Bahre Hasab. Despite its significance, these computations remain largely inaccessible, preserved in Ge’ez manuscripts and orally by ecclesiastical scholars (Alemiyan). Employing a qualitative approach with expert interviews in Tigray, this research systematically extracts and documents the core procedures. It elucidates the theological chronology of Amete Alem and deconstructs the hierarchical cyclical system of Abiy Qemer (532-year cycle) and Nius Qemer (19-year cycle) that manages solar-lunar discrepancies. The study formalizes algorithms for calculating key variables like Abeqte and Metqie and demonstrates their application through an algebraic system of Tewsak values to determine movable feasts. This work translates ancient knowledge into a standardized, reproducible format, preserving intangible cultural heritage and providing a vital resource for scholars and the global community.

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Cite This Study

Tegegne et al. (2026) studied this question.

synapsesocial.com/papers/6a36300ddb0793dc1a537571https://doi.org/10.1080/26375451.2026.2676454
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