6;f&#275;n</i> system and finds another system that fits the data. His reconstruction method is to adopt a lunar cycle of (29 + 663/1249) days, and a solar cycle of 365.2496734 days or (365 + 311.8420766/1249) days. The seeming strange number for the solar cycle comes from the 235:19 ratio between the solar and lunar cycles. The solar cycle can also be written as (365 + 5925/23731) days. The 235:19 ratio is chosen to enforce the 19-year (<i>zh&#257;ng</i>) cycle. Zh&#257;ng does not specify an epoch for the