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A very big thanks for that. hoop and radials are easy to remember at 1/4 wave...is the radiator a little shorter  than early on in the tread ?? this works out for 27.5mhz to be less than 28 feet ....i will still use what you say as you are the one with decades of field testing ...is this with the antenna isolated from the mast ? or don't it make any difference...i see modeling 5/8 waves the TOA go up when you model a mast as well