Compose a tune that integrates the letter-based representation of the determined musical pattern and the given melodic idea.
X:1
L:1/16
M:2/4
K:F
['egcg egcg fada', "c4 c'2a2 d'2>c'2 c'2b2 deg2 c'bde agde"]  
X:1
L:1/16
M:2/4
K:F
"F" c=Bc2 a2>b2 |"C7" a2g2 g^fg2 | c=Bc2 g2>a2 |"F" g2f2 fef2 | c=Bc2 a2>c'2 |"Bb" c'2b2 d^cd2 | 
"F" (ca).a2"C7" (cg).g2 |"F" f2a2 f2 z2 ::[K:C]"C" egcg egcg |"Dm/F" fada fada |"G" b2b2"F" a2a2 | 
"C" gage c4 | egcg egcg |"Dm/F" fada fae'd' |"C" c'gea"G7" gfed |"C" c2e2 c2 z2 :: 
[K:F]"F" c'2a2 d'2>c'2 |"C7" c'2b2 efg2 | c'bde agde |"F" gfed c4 | c'2a2 d'2>c'2 | 
"C7" c'2b2 deg2 | c'bde agde |"F" f2a2 f2 z2 ::[K:Bb]"Bb" fgdg fgdb |"C7" b2a2"^tr" g2(cd) | 
"F7" edcd edea |"Bb" g2g2"^tr" f2(de) | fede"Bb7" f2d'2 |"Cm/Eb" c'2>b2 a2g2 |"F7" gfAc f2>A2 | 
"Bb" B2d2 B2 z2 :|  