Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/16
M:2/4
K:F
['', 'cffg a2gf', 'f2ed cAAc']  
X:1
L:1/16
M:2/4
K:F
 c2 |: cffg a2gf | a2gf egg2 | cffg a2gf | dfeg f2 :: c2 | f2ed cAAc | .BG.AF .EGG2 | f2ed cAAc | 
 BGFE F2c2 | f2ed cAAc | BGAF EGG2 | f2ed cAAc | BGFE FGAB :|  