Compose a musical piece using the designated musical pattern's alphabetic representation and the assigned melodic theme.
X:1
L:1/8
Q:1/8=110
M:6/8
K:C
['', 'e2 g g2 e', 'B2 G']  
X:1
L:1/8
Q:1/8=110
M:6/8
K:C
 G"^$" |: (G2 c) (c2 e) | e2 g g2 e | f2 d e2 c | Bcd G2 G | G2 c c2 e | e2 g g2 e | def Bcd | 
 c2 e c2 :| d | d2 B B2 G | g2 d d2 B | c2 A B2 G | ^FAd d2 d | d2 B B2 G | g2 e e2 c | 
 B2 G A2 ^F | GA^F GE^F | c2 e c2 |]  