Construct a piece of music by converting the stated musical sequence into an alphabetical format and integrating the supplied motif.
X:1
L:1/8
M:4/4
K:F
['AB cA fA']  
X:1
L:1/8
M:4/4
K:F
|: c2 AB cf ef | cB AB c2 A2 | d2 Bc dg ga | ba gf ed cB | c2 AB cf ef | cB AB c2 A2 | 
 dg ga ba gf | ec de f2 AB | cA fA cA AB | cA fA c2 BA | dB gB dB Bc | dB gB d2 AB | cA fA cA AB | 
 cA fA c2 BA | dg ga ba gf | ec de f2 f2 :|  