further clarification
Your mast pumping, because it is so objectionable, is probably due to a standing wave caused by a 1/2 wavelength multiple and not a 1/8 wavelength multiple (which makes a higher frequency of standing wave with less of an amplitude of mast excursions as it "nooldes" in waves). The 1/2 wavelength multiple will likely be a length of 1/2 of the distance from the masthead to deck or 1/2 the distance from the masthead to the end of the mast at the step.
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