The primary instability of the flow past rectangular cylinders is studied to comprehensively describe influence aspect ratio $AR$ and rounding leading- and/or trailing-edge corners. Aspect ratios ranging between $0.25$ $30$ are considered. We show that critical Reynolds number ( $\textit {Re}_c$ ) corresponding increases with ratio, starting from {Re}_c \approx 34.8$ for $AR=0.25$ a value 140$ ...