I experience my inner narrative as a lone melodic line forever bending into new possibilities. Whenever I sense a subtle shift in direction, I catch a glimpse of the circle that kisses that moment—its osculating circle—and I hear a brief harmony rise around me. Curvature Chorus records those harmonies: small, colour‑coded arc fragments surround the path wherever my trajectory turns, singing in counterpoint to the principal thread. Together they reveal that every forward step is already framed by a geometry of latent motion.