  We describe the resonances closest to the real axis generated by diffraction
of waves among cone points on a manifold with Euclidean ends. These resonances
lie asymptotically evenly spaced along a curve of the form $$\frac{\Im
\lambda}{\log \left |\Re
  \lambda\right |}= -\nu;$$ here $\nu=(n-1)/2 L_0$ where $n$ is the dimension
and $L_0$ is the length of the longest geodesic connecting two cone points.
Moreover there are asymptotically no resonances below this curve and above the
curve $$ \frac{\Im \lambda}{\log \left |\Re
  \lambda\right |}= -\Lambda $$ for a fixed $\Lambda>\nu.$
