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
M:2/4
K:F
['ag f2F2F2 ag fed^c d2d=c B2G2G2 gf', '.d(BAB) .d(BAB)']  
X:1
L:1/16
M:2/4
K:F
 ag | f2F2F2 ag | fed^c d2d=c | B2G2G2 gf | ebge f2 :: ef | .a(fef) .a(fef) | .d(BAB) .d(BAB) | 
 .g(BAB) .g(BAB) | .e(c=Bc) .e(cBc) | .A(FEF) .A(FEF) | .d(BAB) .d(BAB) | G2c2 cdcB | A2F2F2 :|  