Construct a piece of music by converting the stated musical sequence into an alphabetical format and integrating the supplied motif.
X:1
L:1/8
M:3/4
K:G
['BA G2 GDGA B2 G2 AB c2']  
X:1
L:1/8
M:3/4
K:G
 BA | G2 GDGA | B2 G2 AB | c2 B2 AG | A4 BA | G2 GDGA | B2 G2 AB | c2 B2 AG | A4 cB | A2 G2 FG | 
 A4 dc | B2 B2 AA | G4 |]  