Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:Ador
['cA A2 ABcd eaag agef gd d2', 'agef gd d2', 'd2 ^cd^cd', 'agef gd d2 efge dBgB A4 eaag', 'gd d2']  
X:1
L:1/8
M:4/4
K:Ador
|: cA A2 ABcd | eaag agef | gd d2 egdg | ^cd gd egdB | cA A2 ABcd | eaag agef | gd d2 efge |1 
 dBgB A2 AB :|2 dBgB A2 Bd || eaag ageg | a2 ag agef | gd d2 egdg | ^cd gd egdg | eaag ageg | 
 a2 ag agef | gd d2 efge | dBgB A2 Bd | eaag ageg | a2 ag agef | gd d2 egdg | ^cd gd egdB | 
 cA A2 ABcd | eaag agef | gd d2 efge | dBgB A2 AB |: cA A2 A2 cA | A2 cA agef | gd d2 ^cd^cd | 
 d2 ^cd^cd dB || cA A2 A2 cA | A2 cA agef | gd d2 efge | dBgB A4 :| eaag ageg | ageg a3 f | 
 gd d2 eggd | ^cdgd eggd | eaag ageg | ageg a3 f | gd d2 efge | dBgB A4 | eaag ageg | ageg a3 f | 
 gd d2 eggd | ^cdgd eggd | cA A2 A2 cA | A2 cA agef | gd d2 efge | dBgB A4 ||  