Frequency ratio
= Frequency ratio
{title2=$r=\omega_2/\omega_1=f_2/f_1$}
The frequency ratio of two nonzero <frequencies> is a dimensionless <ratio>. Ordinary and <angular frequencies> give the same result because both are converted by the same factor $2\pi$. Rational ratios imply a common period for their sinusoidal motions, while the special ratio two means that one mode completes two cycles during one cycle of the other.