The spark gap has a non-linear VI characteristic with high frequency components.
The spark gap is part of, or is tightly coupled to a resonant LC “tank” circuit.
The magnetic field of the tank inductor current is a magnetic dipole antenna.
An external antenna can be lightly coupled to the tank coil.
A “spark” transmitter “plucks” the LC tank at a regular rate which provides a damped oscillation. It generates a rough audio modulated tone.
An “arc” transmitter has a continuous arc across a gap. It produced a continuous wave. I have seen instructions on how to adjust the drip rate of alcohol into the arc chamber to get it running smoothly.