'auditorily' originates from Latin, specifically the verb 'audīre', where the root 'aud-' meant 'to hear'.

'auditorily' developed from the Latin noun/adjective 'auditor' / 'auditorius' (meaning 'listener' or 'pertaining to hearing'), through Middle English forms like 'auditory' (adjective), and then the adverbial suffix '-ly' produced the modern English 'auditorily'.

Initially related directly to 'hearing' or 'a listener'; over time the form became an adverb meaning 'in a manner related to hearing' (i.e., 'by means of hearing').