What is the relationship between the period and angular frequency of a harmonic oscillator?

The period of a harmonic oscillator is the time it takes for one complete cycle of motion, while the angular frequency is the rate at which the oscillator oscillates in radians per second. The relationship between the period and angular frequency is that they are inversely proportional: as the angular frequency increases, the period decreases, and vice versa. This relationship is described by the equation T 2/, where T is the period and is the angular frequency.