auditory sense vs sense of hearing

auditory sense and sense of hearing both are nouns.

Word	Noun	Adjective	Verb	Adverb
auditory sense	Yes	No	No	No
sense of hearing	Yes	No	No	No

As nouns, auditory sense and sense of hearing are synonyms defined as:

auditory sense and sense of hearing: the ability to hear; the auditory faculty

Other synonyms of auditory sense include audition, auditory modality, hearing.

auditory sense (noun)	sense of hearing (noun)
the ability to hear; the auditory faculty	the ability to hear; the auditory faculty