Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/8=160
M:6/8
K:G
['d gdB cAF GBA G2 A DGB', 'G2 A B2 c dBG GBd gdB']  
X:1
L:1/8
Q:1/8=160
M:6/8
K:G
 d | gdB cAF | GBA G2 A | DGB c3 | BdB AFD | B3 cBc | dge faf | gaf gdB | cAF G2 :| A | B2 c dBG | 
 GBd gdB | fef cAF | FAc fdc | BAB cBc | dge faf | gaf gdB | cAF G2 :|  