K7MEM On-Line Calculator comes up with 51-in 6-Element and 66.5-in 7-Element designs:
http://www.k7mem.150m.com/Electronic_Notebook/antennas/yagi_vhf.html
He provides guidance for either a 300-ohm Folded Dipole or 75-ohm Straight Dipole design.
51.0-in, 6-Element Yagi: 8.9 dBd = 11.1 dBi
66.5-in, 7-Element Yagi: 9.8 dBd = 12.0 dBi
These would need to be modeled to determine F/B and F/R Ratios...but is probably not quite
as high as K6STI's Optimized 5-Element (31-in) Yagi with 9.5 dBi Gain and 22+ dB F/B & F/R on Ch13:
http://imageevent.com/holl_ands/yagis/k6sti
K6STI developed his own Yagi Optimizer program, the results of which you see above.....
Note charts for K7MEM's (non-optimized) 4-Element (29-in) and 8-Element (100-in) Yagi designs.
Unfortunately, the formula driven Yagi designs are NOT OPTIMIZED for much of ANYTHING, including
an impedance targeted for Amateur Radio use rather than TV coax.
Hi-VHF 2-Bay with Screen Reflector has 12.5 dBi Gain on Ch13 and F/B & F/R in 15 dB region
(which I would expect to be similar to what modeling would reveal for the K7MEM 6 & 7-Element Yagi's):
http://imageevent.com/holl_ands/multibay/hivhf2bayrefl
Note that it is 56-in high, 72-in wide and 16-in deep.
Reflector Rods, rather than a Screen Reflector should be able to improve the F/B & F/R Ratios,
but would have to be modeled (full width vs split in middle).....hmmm, need to add to my TO-DO list...