Final answer:
Complexity is not a physical dimension of auditory perception; it refers to the perceptual quality of sound influenced by harmonics and timbre, unlike frequency, wavelength, and amplitude which are physical properties related to pitch and loudness.
Step-by-step explanation:
The auditory perception dimension that is not a physical dimension of sound is complexity. Sound waves are characterized by their physical properties, which include frequency, wavelength, amplitude, and period. These properties correspond to how we perceive sound: frequency is related to pitch, amplitude is related to loudness (measured in phons), wavelength is associated with the distance between peaks in a sound wave, and period is the time it takes for one complete oscillation. Complexity refers to the harmonics and timbre of a sound, which is a result of waveforms combining and is a perceptual quality rather than a simple physical dimension of the sound wave itself.