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Just to be careful:
Vertical and horizontal are two very different animals.
For horizontal sweep, the oscillator does not generate a linear ramp. It generates basically a rectangular wave to drive the horizontal output hard on and off. The waveform is modified somewhat to get the fastest possible switching speed of the horizontal output device, because the major power dissipation is during the switching time. In the case of an NPN horizontal output transistor, this means starting the off pulse with a strong negative spike to pull stored charge out of the junction. As stated above, it's the yoke / flyback inductance that makes the sawtooth current out of a rectangular voltage.
For vertical sweep, generating a linear waveform is required because the output is working mainly against the resistance of the yoke. Because of the inductance, you will also see a pulse component in the voltage across the yoke, but the vertical output is not specifically a switched-mode stored-energy recovery system like the horizontal.
I would note that some Zenith designs had feedback that forced the yoke current to be a linear sawtooth so that no vertical linearity adjustment was required.
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