It is the real channel number that determines what antenna is needed.
VHF-Low, real channels 2-6
VHF-High, real channels 7-13
UHF, real channels 14-51
The virtual channel number (like 5.1) is a holdover from the analog TV days to maintain the identity of the station, and is what the TV displays.
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I plan to build a DIY antenna and would like input on the best design and size for my situation.
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A DIY yagi antenna for channel 5 would have elements about 6 feet wide; for 7 and 11, about 30 inches.
A ready-made antenna for VHF-Low and VHF-High would look like this:
https://www.solidsignal.com/pview.asp?p=hd8200u
this is their house brand equivalent
https://www.solidsignal.com/pview.asp?p=HD8200XL