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I ran the numbers and this is the result. All lengths are approximate and are at the centre of the bands except 10m which is at 28.5 MHz.All but the 1/4 wave radiator will require a matching network at the feedpoint which can only be tuned to one band at a time.

 ALL vertical radiators will benefit from radials despite the assertion by some that the 1/2 wave does not. The 1/2 wave is not subject to as much ground losses but it does benefit from a decent ground plane.



                1/4 wave      1/2 wave       5/8 wave


10m           8'2"                16'4"             20'6"


12m           9'5”                18'4”             23'6”


15m          11'                   22'                27'6”


17m          12'11”              25'10”          32'4”


20m          16'6”               33'              41'4”


40m          33'                  66'              82'6”


80m          66'                  132'             165'