Just a word or two of caution about getting carried away with analysis in magnetic devices. We speak of inductance as if it were a constant, but it's not. In something with a core, like a tape head or a phono cartridge or a transformer, the inductance varies with the permeability of the core material, and that permeability is a function of both magnitude and frequency of the exciting field, as well as the current state of magnetization (e.g. intermodulation of low and high frequencies). The effective inductance at high frequencies will be smaller than the low-frequency-rated 200mH, and the resonance frequency itself will shift with signal level a bit.

The terminals also show a series low resistance (the wire resistance) and a parallel high resistance (eddy currents in the core material) - both of which vary with frequency due to the skin effect. And there are hysteresis losses, which appear as if they were a resistance but are non-linear and, like permeability, a function of magnitude, frequency, and magnetic state. These loss mechanisms damp the resonance, along with the preamp input resistance.

And of course the coil has self-capacitance plus capacitance of the wires to the core and shell; it's not just cable capacitance making the resonance happen.

Well, those are the confounding effects off the top of my head; I'm pretty sure I've forgotten a few and I have faith that more will be discovered eventually.