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Make sure I understand this antenna design.???

The coil tube and tap match system match to the radiator and make this antenna electrically longer. This is to lower the ohms at the feed point? 50 ohms to match the feed line coax? Is this right?

The radials also play a part to lower the feed point ohms as well?? As well as angles on 1/4 wave verticals

Looking at a zero five 5/8 wave...they seem to have a similar matching system, just bent in a u shape on one side? They also have another tube or coil attached ? Is it the match or the bent tube coil with the tap?

With The ideal pattern of radiation a 5/8 wave gets it gain from the lower angles in the radiation pattern?? Thus a small gain over 1/2 wave antenna

Verticals at low heights have a lower radiation angle than most antennas over good ground? Under 1 wavelength high.