Chinese Celebration of Sukkot?

According to John Derbyshire, there's a Chinese holiday that coincides with the first day of Sukkot:

APPRECIATING THE MOON [John Derbyshire]
The Derbs (including Boris) just came back from our annual moonlight walk. This is a Chinese thing: on the fifteenth of the eighth lunar month you celbrate the Mid-Autumn Festival. This involves eating some special foods (notably moon-cake) and going out to "appreciate the moon" (_shang yue_) and recite appropriate poems. The proper day was really yesterday, but the sky was cloudy last night, so we put it off till tonight. The moon was exceptionally fine, full and bright in a clear sky. There are no street lights out here in the sticks, so we strolled through the argentine moonlight, followed by our moon shadows. Lovely.

According to the prophet Zechariah, eventually everybody will celebrate Sukkot. It looks like the Chinese have a head start.