A vibratory meter (5), and methods of manufacturing the same are provided. The vibratory meter includes a pickoff, a driver, and a flow tube (700) comprising a tube perimeter wall with: a first substantially planar section (706a), a second substantially planar section (706b) coupled to the first substantially planar section to form a first angle θ1 (704), a third substantially planar section (706c), a fourth substantially planar section (706d), and a fifth substantially planar section (706e).