Design a tuneful piece that utilizes the given musical sequence as a key element.
'Binary', 'Sectional: Verse/Chorus'  
X:1
L:1/8
M:4/4
K:F
 AG | F2 f4 ed | e2 g4 fe | f2 a4 gf | e2 c2 c2 dB | F2 f4 ed | e2 g4 a2 | bagf agfe | f2 F2 F2 :: 
 (3cde | fcAF A2 fa | gfed c2 fg | agfe fagf | e2 cc c2 e2 | dBBB b3 g | afed c2 F2 | GBAc BdcB | 
 A2 F2 F2 :|  