《明史·志·卷十一》
推算闰日在哪一月：将朔望月长减去有闰的年份的闰余，余数作为被除数，用月闰与之相除，得敷在规定起算月下一个月数之外的，就是应该有闰日的月份。
推闰在何月置朔策，以有闰之年之闰余减之，余为实，以月闰为法而一，得数命起天正次月算外，即得所闰之月。
Calculating the month with an intercalary day: Deduct the difference from the synodic month length from the intercalary odd number of the year with intercalary month. Then use the intercalary month as the divisor to divide the difference. The month number exceeding the specified calculation starting month is the month with the intercalary day.
<s>[INST] For each of the following sets of Classical Chinese and Modern Chinese sentences, provide an English translation that captures the essence of both: Classical: 推闰在何月置朔策，以有闰之年之闰余减之，余为实，以月闰为法而一，得数命起天正次月算外，即得所闰之月。 Modern: 推算闰日在哪一月：将朔望月长减去有闰的年份的闰余，余数作为被除数，用月闰与之相除，得敷在规定起算月下一个月数之外的，就是应该有闰日的月份。 [/INST] Calculating the month with an intercalary day: Deduct the difference from the synodic month length from the intercalary odd number of the year with intercalary month. Then use the intercalary month as the divisor to divide the difference. The month number exceeding the specified calculation starting month is the month with the intercalary day.</s>
For each of the following sets of Classical Chinese and Modern Chinese sentences, provide an English translation that captures the essence of both: Classical: 推闰在何月置朔策，以有闰之年之闰余减之，余为实，以月闰为法而一，得数命起天正次月算外，即得所闰之月。 Modern: 推算闰日在哪一月：将朔望月长减去有闰的年份的闰余，余数作为被除数，用月闰与之相除，得敷在规定起算月下一个月数之外的，就是应该有闰日的月份。
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Calculating the month with an intercalary day: Deduct the difference from the synodic month length from the intercalary odd number of the year with intercalary month. Then use the intercalary month as the divisor to divide the difference. The month number exceeding the specified calculation starting month is the month with the intercalary day.
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