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How do mixing engineers remove an ear-piercing ringing frequency from a snare drum without dulling the snap and body of the rest of the hit?
In 1972, audio pioneer George Massenburg solved this by designing the parametric equalizer, granting audio engineers independent control over frequency, amplitude, and curve width.
What components make this surgical precision possible?

Anatomy of a Parametric Band

Every parametric bell filter is defined by three fundamental parameters: center frequency (fcf_c), gain (GG in decibels), and the Q factor (quality factor).
How do we mathematically calculate how narrow or wide that curve actually is in Hertz?

The Q Factor and Bandwidth Formula

The bandwidth (BWBW) of a filter is the span of frequencies between the -3 dB cutoff points (f1f_1 and f2f_2) where signal power drops by half.
The Q factor represents the filter's selectivity and is defined by the ratio of the center frequency to bandwidth: Q=fcBWHzQ = \frac{f_c}{BW_{\text{Hz}}}
Since human hearing perceives pitch logarithmically, how does bandwidth translate into musical octaves?

Octave Bandwidth Maths