Relating to or intended for teaching; having the style or manner of a teacher, often in a formal or overly instructive way.
From Greek 'didaktikos' (suited to teaching), derived from 'didaskein.' The '-al' suffix transforms the Greek adjective into English form.
Poetry that's 'didactical' is basically trying to teach you a lesson while you read—like a textbook pretending to be art, which is why people don't always enjoy didactical poetry as much as poetry that just tells a story.
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