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I'm thinking there are examples where tuning for "the dip in impedance" may not put you close to resonance. Take any antenna that uses an inductor at its base with a tap point on it that connects to the feedline. Could be anything from your Wilson 1000 mag mount to your Maco V-58. These matching networks are nothing more than RF versions of the basic auto transformer.


The closer you move the tap point towards the grounded side of the inductor, the lower the impedance will be. You could continue to lower the impedance until you've reached a short. You want the impedance to match the feedline but that doesn't guarantee resonance has been achieved either.


You could take a center fed gamma matched dipole such as the Sirio S-27 and adjust its elements length so that it was no longer resonant. At the same time you could adjust that gamma match to show a wide range of impedance including 50 ohms without resonance.