How is the period of a simple harmonic vibration related to its frequency?

The period of the harmonic vibration is inversely proportional to its frequency

Explanation:
The period of the simple harmonic vibration is actually the inverse of its frequency.
This means that, to get the period, all you have to do is divide "1" by the frequency, in other words:
period = 1/frequency
From this formula, we can note that as the frequency increases, the period decreases and vice versa.
Based on this, the relation between the period and the frequency is an inversely proportional relation.

Hope this helps :)

Amethod of procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses.