ChatterBank2 mins ago
Basically
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For more on marking an answer as the "Best Answer", please visit our FAQ.Words ending in 'ical' have a compound suffix, based on the formation in Late Latin of adjectives ending in 'alis', often related to Latin nouns ending in 'icus'. For example, 'clerk' came from 'clericus'...its adjective became 'clerical' and its adverb 'clerically'.
As time passed, some of these formations were shortened in the normal way of language-change. Before about 1500, 'domestical' was a standard word, though we now use only 'domestic'. The adverb is still, however, 'domestically'. In other cases, such as 'public', any 'publical' form was shortlived so 'publicly' is the only relevant adverb.
Often the two formats have different meanings...one might speak of 'economic science' but of an 'economical wife'.
Basically, it's all to do with the Late Latin/Middle English tie-up...as is so much else in the mysteries of English!