he above calculation.</p>
    
<p>It should be noted that the lunation fraction of the winter solstice is not an integer multiple of <span class="nowrap">1/19</span> as opposed to the case of many ancient six calendars. This is because there is no specified relationship between Z11 and the lunar conjunction at the epoch. Even in the Zhuanxu calendar, the conjunction and J1 were assumed to occur at midnight. Simple calculation shows that the lunation fraction of Z11 near the epoch was 69/152 = 8.625/19, whic