Note S 4 : Glyph Times Time frames

The glyphs, which are presented in full in Figure S13, not only made predictions of a lunar or solar eclipse in a particular month but also what time of day that eclipse might occur. Eclipse times in the glyphs are given as integers on a 12-hour scale using the ancient Greek number system with the alphabet standing for numbers and an additional symbol ς for 6. The times in the glyphs are modified by the Day/Night indicators  \ and  . These will be translated into a 24-hour scale as follows. The times are assumed to be equinoctial hours [1] and the reference time for the beginning of the day is assumed to be 6.00 am local time. If a lunar eclipse time, n, in a given glyph is preceded by  \ (of the day), the time is taken as t = n. If it is not preceded by  , the eclipse is assumed to occur at night and the time is taken as t = n + 12. Similarly, a solar glyph time n is interpreted as t = n if the symbol  \ (of the night) is absent and t = n + 12 if it is present. "hours mech" refers to the eclipse time in the 24-hour scale described above. In other words,  \ refers to the period 06:00 hrs 18:00 hrs (local time);  \ refers to the period 18:00 hrs 06:00 hrs (local time)