Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
Q:1/8=120
M:6/8
K:G
['GBd cAB c2 A AGA B2 G']  
X:1
L:1/8
Q:1/8=120
M:6/8
K:G
|:"^A" GBd cAB | c2 A AGA | B2 G E2 E | DEF G3 :|  