Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
Q:3/8=132
M:6/8
K:D
["dfa afd dgb b3 ad'f gec", "d3 aaa d'af gbg e3 fff afd", "afd dgb b3 ad'f gec ddd d3", '.b.b.b .g.g.g .a.a.a .f.f.f .g.g.f edc']  
X:1
L:1/8
Q:3/8=132
M:6/8
K:D
"^A" dfa afd | dgb b3 | ad'f gec | ddd d2 A | dfa afd | dgb b3 | ad'f gec | ddd d3 :: 
"^B" aaa d'af | gbg e3 | fff afd | egc d3 ::"^C" dfa afd | dgb b3 | ad'f gec | ddd d3 :: 
"^D" .a.a.a .b.b.b | .g.g.g .a.a.a | .f.f.f .g.g.f | edc d3 :|  