Sorry but the tuning for the lowest open strings on a long neck five is not A, E, G#, B, G. It is e,A,E,G#,B (for the same voicing as g,C,G,B,D). It can also be tuned in an open E chord (for the same tuning as g,D,G,B,D) as e,B,E,G#,B. The first tuning is referred to as C tuning but the key is actually A. The second tuning is referred to as G tuning but the key is actually E.

Frank