Word origin · etymology
English decennial, from Latin decennium, a period of ten years (decem, ten, and annus, year); astrologers use the plural for Valens's periods of 10 years 9 months.
The periods last 10 years 9 months, a little more than ten years. Mark Riley's English translation names the method by its length, in the chapter heading The 10-Year, 9-Month Distribution of Propitious and Impropitious Times, and does not use the word decennial for it. No Greek term is given here because none was checked in a primary text.
Online Etymology Dictionary, decennial ↗Vettius Valens, Anthologies, translated by Mark Riley: Book VI chapters 5K;6P to 7 (the 10-year, 9-month distribution) and the Book IX section headed A Fifth-Century Addition ↗
How we know · epistemology
Ancient textual method with disagreeing rules and printed slips
The 129-month period, the starting luminary and the order of the stars are stated in Valens's Book VI, which works one example in the Egyptian calendar and says he discovered, tested and put to use a distribution that had been discarded casually; in Book IV (chapter 11) he lists a distribution by the dodekatemoria, which total 10 years 9 months, among the methods that falsify the results. For the days inside a months-period his text gives rules that name different stars for the same day, a later addition in Book IX gives another, and the example and the table of shares contain printed slips that the site's check lists. No text read says what follows the seventh period, so any date and any end of the sequence is a convention of the calculating tool. Valens and the Book IX author report that the method worked on nativities, but they give anecdotal cases, not a test that anyone could repeat, and the site treats those statements as the tradition's own claims.
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Use the citations beside each section to distinguish a calculation convention, a historical teaching and an editorial example.