Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/2=80
M:4/4
K:G
['(BG)(BG) (Ac) Tc2 (BG)(BG) (DA) TA2 (BG)(BG)', 'A2 (dB)(dB) (ce) Te2 (cA)(cA) (Bd) Td2', 'geTdB geTdB']  
X:1
L:1/8
Q:1/2=80
M:4/4
K:G
 (BG)(BG) (Ac) Tc2 | (BG)(BG) (DA) TA2 | (BG)(BG) (ABcd) | (edcB) A2 A2 :: (dB)(dB) (ce) Te2 | 
 (cA)(cA) (Bd) Td2 | (BG)(BG) (ABcd) | egdc BG TG2 :: geTdB geTdB | geTdB cA TA2 | geTdB geTdB | 
 cedc BG G2 :|  