Construct a musical piece that complies with the specified structure and abides by genre conventions.
'Sectional: Through Composed'  
X:1
L:1/8
Q:1/8=120
M:2/4
K:G
"^A" E | DG GG | AE EG | DG GB | dB B>d | e/f/g/f/ e/d/c/B/ | c/B/A/G/ AB | DG B/A/G/A/ | BG G || 
"^final" BG G2 |]"^B: \"1st and 3rd\"" g | dc BA | BG E>F | GG G/A/B/c/ | d>c Bg/f/ | ed/c/ BA | 
 BG E>G | FA DE/F/ | G3 A | Bd ef | gd BG/A/ | Bd ef | g2 fg | ed c/B/A/G/ | AG E>G | FA DE/F/ | 
 G2"_DC" G ||"^C:\"2nd & 4th\"" z | ed B2 | d/e/d/c/ B2 | BA A/B/A | AG G/F/G | ed B2 | 
 d/e/d/c/ B2 | BA A/B/A | GG G z | gf/e/ fe | ed d/^c/d | ed dB | AG G/F/G | gf/e/ fe | ed d/^c/d | 
 ed d/e/d/B/ | AG"_DC"G ||  