You can be quite deaf and appreciate some aspects of music. Deaf actress Marlee Matlin performed in "Dancing With The Stars", which requires that you experience enough of the music to dance in time.
Evelyn Glennie has been deaf since age 12 and is an acclaimed orchestral percussionist. She says she can "hear" via other parts of her body, and usually performs bare footed so that she can "feel" the music.
Ms Glennie feels that deafness is misunderstood and doesn't necessarily amount to living in a silent world. She allows no mention of her deafness in publicity material because "if the audience is instead only wondering how a deaf musician can play percussion then I have failed as a musician."
She has an interesting essay on the matter at
http://www.evelyn.co.uk/Resources/Essays/Hearing%20Essay.pdf
