I have a transformer with a 110-1 turns ratio.

The output winding (1100 turns) is typically open circuit, with only its parasitic capacitances as a load.

The output winding has adjacent turn capacitance, layer to layer capacitance as well as capacitance of the output wires.

The input winding is 10 turns.

If I know the inductance and the ringing frequency on the output when pulsed, can I then determine the proper capacitance to put on an ideal transformer in modeling (LTSpice or similar)?

Assume air core so saturation isn't a problem.