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What does six days and seven parts mean?

Six days and seven parts is a shorthand for six days plus seven eightieths of a day, that is 6.0875 days. This is the period each of the 60 hexagrams governs in the Quái khí method, calculated by dividing 365 and 1/4 days by 60.

From the article “The Hexagram of the Day According to Quái khí: What Are Six Days and Seven Parts and the Four Cardinal Hexagrams?”

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Daily hexagram by the Gua Qi method, 1900 to 2100

Every solar day from 1900 to 2100 with its ruling hexagram under the Gua Qi method (six days seven parts), the line ruling the day, the position in the sixty-hexagram cycle, the winter solstice anchor and the minutes elapsed since it, the solar term and the cardinal hexagram line for that term. Enough to recompute every row independently.

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