That vibrating flux can be rather nasty, especially if it includes a high end beat frequency component in the single wire driver circuit, such as water's resonant MW frequency.
Meanwhile, I modified my power supply circuit to make it tunable. Basically, I moved the diode across the spark gap, which is now connected to a second capacitor. And another gap for the inductor's output. This gap represents the load connection points. The new circuit fires with an 1/8" spark gap. Before, I had to set it around 1/32". Using two oven caps, the output spark is a lot fatter than the one across a single gap, and can be stretched like a normal MOT arc. With a nano Farad cap for C2 the spark in that gap is really thin, like it doesn't hardly have any current. So current can be minimized through component selection. The first cap, together with the inductor, is a tuned circuit pumped by the cap and diode oscillator. So changing the values of the first cap and/or the inductor will determine the frequency. In theory, this will work with just about any voltage, if the gaps are replaced with low value resistors. I don't have an issue with mixing alternating and direct current. When the AC switches polarity it's cancelled out, otherwise, it adds to the DC. So this is a good way to 'intensify' a given potential. With an opportunity to minimize the amps. At a desired frequency.