Compose a piece using the specified musical pattern based on the alphabet and the provided melodic theme.
X:1
L:1/16
M:2/4
K:G
['(dc) BGDG B2cB A^GAB c2 |1,3 (BA)', 'edBd ea^ga e2 |1,3 (ga) bagf gedB']  
X:1
L:1/16
M:2/4
K:G
 (dc) | BGDG B2cB | A^GAB c2 |1,3 (BA) | Bgdg BgdB | c2A2 A2 :|2,4 d2 | egdg BgAc | B2G2 G2 :: 
 (Bc) | dgfg edBd | ea^ga e2 |1,3 (ga) | bagf gedB | c2A2 A2 :|2,4 d2 | egdg BgAc | B2G2 G2 :|  