Compose a tune that integrates the letter-based representation of the determined musical pattern and the given melodic idea.
X:1
L:1/8
M:2/2
K:Gmix
['Bc dG{A}G^F GB(3dcB cF{G}FE FA{d}cA |{c} BGG^F', 'ge a^fd^c d2 (3def gdBG ecA^F G3']  
X:1
L:1/8
M:2/2
K:Gmix
 Bc | dG{A}G^F GB(3dcB | cF{G}FE FA{d}cA |{c} BGG^F GB(3de^f | gb(3ag^f ga(3gfe | dedB G2 AB | 
 cecA F2 GA | (3BAG gd ec d^F |1 AGG^F GA :|2 AGG^F G2 GA |: Bcde fdcA | dDE^F G3 A | 
 Bcde (3fed ge | a^fd^c d2 (3def | gdBG ecA^F | G3 B AG^FG | (3^FED FA cedF | AG{A}G^F G3 A :|  