I see on the internet that a radio amateur made bowtie antennas for transmitting and receiving on the 2 meter and 10 meter bands. They produced very good SWR bandwidth when fed with 50-$\Omega$ coax. Why, then, are bow tie antennas for UHF TV connected to 75-$\Omega$ coax through a 300-$\Omega$:75-$\Omega$ stepdown balun?
Commercial 4-bay bow tie antennas connect the feedpoints of the bowties with ~14ga solid conductors and feed the antenna through a 300-$\Omega$:75-$\Omega$ stepdown balun. If the impedance of a single bow tie is close to 50-$\Omega$ or 75-$\Omega$, then connecting four of them with half wave wires should result in an impedance around 12.5-$\Omega$ or 18.75-$\Omega$, which is a very poor match to the 300-$\Omega$ input impedance of the balun. This situation would be even worse for an 8-bay antenna. How do these antennas work?