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
["FA c2cA f2fc a2af c'2c'a ^fgfg", 'd2d^c d2fe d2a^g a2e=g f2fg', 'a6 ga f2fa c2cf d2ba gfef', 'f2 ce g6 ag fedc =Bcde fed^c']  
X:1
L:1/16
M:2/4
K:F
 FA | c2cA f2fc | a2af c'2c'a | ^fgfg ecde | f2af c2 FA | c2cA f2fc | a2af c'2c'a | ^fgfg ecde | 
 f2a2f2 :: A2 | d2d^c d2fe | d2a^g a2e=g | f2fg fefd | ^cdec A2A2 | d2d^c d2fe | d2a^g a2e=g | 
 f2fg fed^c | d2d2d2 :: c2 | a6 ga | f2fa c2cf | d2ba gfef | gfga g2c2 | a6 ga | f2fa c2cf | 
 d2ba gfef | g4 f2 :: ce | g6 ag | fedc =Bcde | fed^c dgbg | f4 e2c2 | a6 ga | f2fa c2cf | 
 d2ba gfef | g4 f2 :|  