Compose a tune that integrates the letter-based representation of the determined musical pattern and the given melodic idea.
X:1
L:1/8
Q:1/8=180
M:6/8
K:Amin
['gea ged cAB', 'cBc A2 G EcB cde']  
X:1
L:1/8
Q:1/8=180
M:6/8
K:Amin
|: e/^f/ | gea ged | cAB c2 d | eaa age | edd de^f | gea ged | cAB cde | fed e2 d | cAG A2 :: B | 
 cBc A2 G | EcB cde | ded cAG | Add ded | cBc A2 G | EcB cde |1 fed ecA | GFE D2 :|2 fed e2 d | 
 cAG A2 ||  