Answer: It is still 60 cycle power because the width of the pulses are
still from the 60 cycle source. The difference between 60 cycle full
wave power and 60 cycle half wave power is half the pulses are missing.

The frequency is measured from the 'zero crossings'. AC power,
when viewed on an oscilloscope is a sine wave.

See how it goes up and down? See how it crosses the zero volts
line?

Lets look at the two that go up. (Near the letters A and B)
If you measure from A to B on 60 cycle power you will find it is 1/60th
of a second. Or 60 cycles per second or 60 Hertz (Hz).

If you rectify this power with a bridge rectifier you get this picture..

This is full wave DC power. (And points A and B are still 1/60th of a second apart.)

Half wave has the following picture..

Of course, all of this discussion assumes you are starting with 60 cycle AC power.

Thorin (First name)

Marty (Last name)