The perceptual math for intensity is __________ and for frequency is __________.

The perceptual mathematics for intensity is associated with loudness, while frequency relates to pitch. This understanding arises from the way we perceive sound.

Loudness is a subjective assessment of the intensity of a sound, typically measured in decibels (dB). However, when considering the perceptual aspect, loudness reflects how we experience changes in sound intensity rather than a strict numerical measurement. Increased intensity translates to a higher perceived loudness, which is why loudness is the correct perceptual term for intensity.

On the other hand, frequency, measured in hertz (Hz), correlates with the pitch of the sound. Pitch refers to how high or low a sound is perceived and is fundamentally linked to the frequency of the sound wave. Higher frequencies are perceived as higher pitches, while lower frequencies correspond to lower pitches. Thus, pitch serves as the perceptual aspect of frequency.

This effective pairing of the perceptual terms captures the relationship between the physical properties of sound (intensity and frequency) and our sensory experience of those properties (loudness and pitch).