Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:4/4
K:F
['AF F2 Acdc AcGc AGFD CDFG', 'cdfg afgf']  
X:1
L:1/8
M:4/4
K:F
|: G | AF F2 Acdc | AcGc AGFD | CDFG Ac c2 | dcAF G2 FG | AF F2 Acdc | AcGc AGFD | CDFG c c2 | 
 dcAG F3 :: c | cdfg afgf | dfcB AF F2 | cdfg afgf | dggf g2 fd | cdfg afgf | dfcB AFFD | 
 CDFG Ac c2 | dcAG F3 :|  