Craft a piece of music that integrates both the suggested theme and letter-based structure.
X:1
L:1/8
Q:1/4=100
M:3/4
K:G
['B2 A2', 'A>Bc>BA>B c>AB>AG>A', '(ed) c4 (ed)']  
X:1
L:1/8
Q:1/4=100
M:3/4
K:G
 (GA) B2 (AG) | B2 A2 (GE) | (BA) G2 (ED) | (EF) G2 (AB) | c2 (BA) (A/B/c) | B2 G2 B2 | 
 A2 e2 (dB) | A4 (AB) | c2 (BA) (A/B/c) | B2 G2 B2 | A2 B2 (AG) | E4 (GA) | B2 (AG) B2 | 
 A2 (GE) (BA) | G2 (ED)(EF) | G6 :| G>AB>AG>A | B>GA>GE>F | G3 E<GE<DE/ | (GA) G4 | A>Bc>BA>B | 
 c>AB>AG>A | BG A2 e2 | (c>B) A4 | A>Bc>BA>B | c>AB>AG>A | BA G2 B2 | (AG) E4 || (DE) G4 | 
 (ed) c4 | (ed) c4 | (ed) B4 | (ed) B4 | (ed) A4 | (ed) A4 | G>AB>AG>A | B>GA>GE>F | G>EG>ED>E | 
 (GA) G4 |]  