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This page shows the conversion from midnight in Japan today to many other timezones

CST can refer to a timezone in North America:

Midnight Japan is 10am in Chicago (US CST) during Chicago's summer, and 9am during Chicago's winter.

CST can also refer to a timezone in Australia:

Midnight Japan is 00:30 in Adelaide (ACST) during Adelaide's winter and 1.30am during Adelaide's summer. In Darwin, Midnight Japan is always 00:30.

See also Japanese Midnight on FFXIclopedia.