Construct a piece of music by converting the stated musical sequence into an alphabetical format and integrating the supplied motif.
X:1
L:1/16
Q:1/4=100
M:2/4
K:C
['cBcd e2e2', "gagf e2g2 c'4 g4 gfef", "e6 f2 g2a2b2c'2 a4 a4 a6"]  
X:1
L:1/16
Q:1/4=100
M:2/4
K:C
 c2 | cBcd e2e2 | cBcd e2e2 | gfef d2d2 | gfef d2d2 | cBcd e2e2 | cBcd e2e2 | gfef gfef | 
 c2e2 c4 :: gagf e2g2 | c'4 g4 | gfef d2d2 | gfef d2d2 | gagf e2g2 | c'4 g4 gfef gfef | c2e2 c4 :: 
"^fragment of another tune?" c2 | e6 f2 | g2a2b2c'2 | a4 a4 | a6 e2 | f2g2a2f2 | e4 e4 | e6 f2 | 
 g2a2b2c'2 | a4 a4 | a6 a2 | g2c'2b2a2 | g2f2e2d2 | c2c2 c4 :|  