The Schwartzbeck log periodic is by far the better antenna.? They offer a far flatter response response and are directional.? Directionality allows one to do a better job of finding RF emission locations.?
The gain plot for the "vertical" blob is over rated!!?
Discones can typically cover a 10-to-1 bandwidth while staying on or within the 2 : 1 circle on the Smith chart but are not directional and do not offer constand polarization with frequency.? Their only claim to fame is a 2 : 1 SWR over a 10-to-1 bandwidth.? They operate about like a 1/4-wavelength for the frequency of coverage.
Again the Schwartzbeck is by far the best choice.? I've used them professionally as do many accredited labs.??