Construct a melodic piece using the designated alphabetic pattern and the provided musical theme.
X:1
L:1/8
Q:1/8=180
M:4/4
K:G
['GAGE DEGA', '(3Bcd gd']  
X:1
L:1/8
Q:1/8=180
M:4/4
K:G
 B2 BA GAGE | DEGA BA A2 | (3BcB AB GAGE | DEGA BG G2 | B2 BA GAGE | DEGA BA A2 | (3cBA G2 AE E2 | 
 DEGA BA G2 :| Bdgd edgd | (3Bcd gd eA A2 | (3Bcd gd edge | dBAc BG G2 | Bdgd edgd | 
 (3Bcd gd eA A2 | Bdef g2 ge | dBAc BG G2 :|  