'hedonically' ultimately originates from Ancient Greek, specifically the word 'hēdonē', where 'hēdonē' meant 'pleasure'.

'hēdonē' passed into New Latin as 'hedon-' (a combining form) and into Modern English via words like 'hedonism' and 'hedonic', with the adverbial suffix '-ally' forming 'hedonically'.

Initially it referred directly to 'pleasure' (the Greek noun); over time it evolved into adjectives like 'hedonic'/'hedonistic' meaning 'relating to pleasure,' and the adverb 'hedonically' now means 'in a pleasure-focused manner.'