The Q factor, or quality factor, also pertains to
oscillating systems, although it has a different definition in that
context. It can be defined in many ways, one of which relates to the response of a driven
resonant system as a function of drive
frequency. The driven resonant system has some natural frequency fo, and the response curve has some characterstic width called the
FWHM. the ratio of fo to the
FWHM times 2
pi gets a pretty good intuition for the Q factor. The Q factor also turns out to relate to the number of oscillations the damped resonant system can undergo - more quality means less oscillations.