In an anapaestic manner; according to the principles or pattern of anapaestic meter.
From 'anapaestical' + '-ly' (in the manner of). Formed by adding the adverbial suffix to create an adverb describing how something is done with anapaestic rhythm.
This is the kind of word that makes English teachers happy—it's perfectly constructed following normal word-building rules, but so specialized that most people will never use it in conversation!
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