Hi rapa,
There seems to be some mangling of terms here.
Period and cycle in this context should mean the same thing, The time to complete one cycle or until it repeats itself. e.g. the upward curved AND the downward curved parts of a sine wave.
For PWM it is the on time and the off time added together.
With PWM, the cycle time remains constant while the duty cycle changes. It can usually go from 0 to 100%. At 0 and 100 it is no longer a waveform but simply DC.
I don't know why you are talking of the pulse width in Hertz. Pulse width is a time or, in PWM as the frequency is fixed, a percentage.
Many people, both on these forums and elsewhere, seem to refer to any square wave as PWM which is wrong.
PWM stands for Pulse Width Modulation. That is, the only thing you are changing (or modulating) is the pulse width. The frequency (or cycle time or period) remains fixed.