下面一段话是否有错误（关于中秋的）

下面一段话是否有错误（关于中秋的）
The joyous Mid-Autumn Festival,the third and last festival for the living,was celebrated on the fifteenth day of the eighth moon,around the time of the autumn equinox.Many referred to it simply as the "Fifteenth of the Eighth Moon".In the Western calendar,the day of the festival usually occurred sometime between the second week of September and the second week of October.
欢悦中间秋天节日,第三个和最后节日为生活,在第八月亮的第十五天庆祝了,在秋天昼夜平分点附近的时期.许多简单地提到了它作为“十五个第八月亮”.在西部日历,节日的天某时通常发生了在第二个星期9月和第二个星期10月之间.
是否有语法错误,翻译错误?仔细一点.最多半小时.