The Dragon Boat Festival usually falls around late May or early June in the Gregorian calendar. However, it's difficult to specify exact dates since the festival is based on the Chinese lunar calendar. Generally, it ranges from the 5th to the 7th day of the 5th lunar month, which would correspond to June in the Gregorian calendar most years. To provide a specific range, one would typically need to reference the actual lunar year it falls within. In English, you can say something like:

"The Dragon Boat Festival is celebrated from the 5th to the 7th day of the 5th lunar month, usually around late May or early June in the Gregorian calendar."
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