The QCD axion is currently the focus of intense experimental and theoretical research. A key feature of canonical QCD axion models is the fixed mass-coupling relation, which motivates experimental efforts to explore the so-called QCD axion band. But what if no axion is found within this range? Could a genuine QCD axion lie outside this band—and if so, at what theoretical cost? In this welcome-talk, we will show that such a displacement can naturally arise if the axion propagates in extra dimensions, leading to distinctive patterns that motivates new regions of parameter space. We will discuss the theoretical framework, the associated experimental signatures, and the limitations of these constructions.