In a manner that is pastoral, rural, or characteristic of country life and its simplicity.
From 'bucolical' (the adjective) with the adverbial suffix '-ly' added. This builds on the Greek 'bukolikos' through multiple English morphological layers.
The existence of adverbs like 'bucolically' shows how English lets us describe not just things, but the *way* something happens—you can describe a poem or a landscape, but also speak bucolically, as if embodying pastoral ideals through speech itself.
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