Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:6/8
K:G
['', 'e dBG AGE GED DEG AcB AGA', 'Bdd cee', 'cAA A2', 'a ecA BAF AFE EFA c3 BAB', 'ecA cee', 'f ecA B2 A cee dff cee']  
X:1
L:1/8
M:6/8
K:G
 e |: dBG AGE | GED DEG | AcB AGA | BAA A2 e | dBG AGE | GED DEG | AcB AGA |1 BGG G2 e :|2 
 BGG G2 A || Bdd cee | Bdd dBG | Bdd cee | dBG A2 G | Bdd cee | Bdd dBG | AcB AGA |1 BGG G2 A :|2 
 BGG G2 |[K:A] f |: ecA BAF | AFE EFA | Bdc BAB | cBB B2 f | ecA BAF | AFE EFA | Bdc BAB |1 
 cAA A2 f :|2 cAA A2 B || cee dff | cee ecA | cee dff | ecA B2 A | cee dff | cee ecA | Bdc BAB |1 
 cAA A2 B :|2 cAA A2 ||"^Variations:" a |: ecA BAF | AFE EFA | c3 BAB | cBB B2 a | ecA BAF | 
 AFE EFA | c3 BAB |1 cAA A2 a :|2 cAA A2 B || cee dff | cee ecA | cee a2 f | ecA B2 A | cee dff | 
 cee ecA | c3 BAB |1 cAA A2 B :|2 cAA A2 |]  