Edrich remained to secure his 13th Test fifty, and Compton hit the famous pull shot for the winning runs, signalling a sea of celebration rarely seen on a cricket field before or since.
The Test looks beautifully poised going into the final day and if West Indies can produce 10 wicket-taking deliveries on Tuesday they could secure their first Test win in Adelaide since 1993 - and their first anywhere in Australia since 1997.