> but there are about 10-15 cycles it goes through, not just one spark
George, the spark occurs as the instant the points open. The subsequent oscillations are caused by the residual energy in the bouncing back and forth between the condensor and coil until that energy is dissipated in the resistance of the primary circuit.
What happens is that resistance through an inductor can't change instantaneously. But when you open the points, you're demanding the current through the coil primary to change, so the coil develops sufficient voltage to arc across the point gap. (That's why points always wear out over time.) The sudden change in current through the coil primary causes the coil's magnetic flux to also change, which induces a high voltage in the secondary winding. That voltage will rise to whatever it takes to jump the spark gap. Most of the energy in the coil is expended in this spark.
Meanwhile, the condensor gives the current through the coil primary an alternate path once the points open. This limits the voltage induced in the primary and reduces arcing across the points. As current passes through the condensor, its voltage rises and it accumulates energy. The subsequent "ringing" is the result of that energy flowing back into the coil, then back to the condensor, etc. It's the solution to a second order differential equation (i.e. a sine wave), and is really no different than, say your car bouncing when you hit a bump in the road.
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