Golden sweets folded to look like a ginkgo leaves commonly appear in the tearoom towards the end of autumn.
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If you were dropped into a teahouse at a random time of year, without access to the garden or any idea of the temperature outside, then the sweets served are your best bet for narrowing down the date...
Ichō momiji' (銀杏紅葉 'autumn-leaved ginkgo') herald deep autumn.
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