Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/16
M:2/4
K:G
['BGBc dedc', 'B2G2 g2fd egd2 fgag f2d2 g2fd egdc']  
X:1
L:1/16
M:2/4
K:G
 BGBc dedc | BGAc B2A2 | BGBc dedc | BGAc B2G2 :: g2fd egd2 | fgag f2d2 | g2fd egdc | BGAc B2G2 :|  