Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/8
M:4/4
K:Ador
['', 'ed cAGE FD D2 EAAG ABcd efge', 'A2 ce', 'A2 ce', 'gdBG ABce dcAG EAA^G']  
X:1
L:1/8
M:4/4
K:Ador
 ed |: cAGE FD D2 | EAAG ABcd | efge dcAG | EGGF G2 ed | cAGE FD D2 | EAAG ABcd | efge dcAG |1 
 EAAG A2 ed :|2 EAAG AEFG |: A2 ce aecA | G2 Bd gdBG | A2 ce gdce | dcde dBGB | A2 ce aecA | 
 G2 Bd gdBG | ABce dcAG |1 EAAG AEFG :|2 EAAG A2 ||[K:Amix] ed | cA A2 FEDF | EAA^G ABcd | 
 efge dcAG | EGGF G2 ed | c2 BA FD D2 | EAA^G ABcd | efge dcAG |1 EAA^G A :| A2 ce aecA | 
 G2 Bd gdBG | A2 ce aece | dcde dB^GB | A2 ce aecA | G2 BD gdBG | ABce dcAG | EAA^G A4 :|  