Utilizing the provided musical theme and letter-based structure, compose a piece of music.
X:1
L:1/8
M:4/4
K:G
['B,C DBGE D^CD^D EcAc E2 AG FcEc', 'd^c edBG DGFG AGFG E2 AG FcEc']  
X:1
L:1/8
M:4/4
K:G
|: B,C | DBGE D^CD^D | EcAc E2 AG | FcEc D2 EF | GAGE D2 B,C | DBGE D^CD^D | EcAc E2 AG | 
 FcEc D2 EF | G2 D2 G2 :: d^c | edBG DGFG | AGFG E2 AG | FcEc D2 EF | GAGE D2 d^c | edBG DGFG | 
 AGFG E2 AG | FcEc D2 EF | G2 D2 G2 :|  