Construct a musical composition following the given alphabetical structure and incorporating the specified motif.
X:1
L:1/8
Q:1/4=120
M:6/8
K:A
['', '(A/G/)S (EA).A (TAG).A (cde) f2 a |1,3{a}', '', 'gec dcA G2({AG}']  
X:1
L:1/8
Q:1/4=120
M:6/8
K:A
"^Gaily""^A" | (A/G/)S |: (EA).A (TAG).A | (cde) f2 a |1,3{a} g>ec ded |{d} cAF (G2{AG} E/D/) :|2,4 
 g>ec (d<c)A | A3"^fine" A2 :|"^B" |] d | efg aba | (Tgfg) (efg) | aba gec | dcA G2({AG} E/SD/) |]  