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Home/Waves & Sound/Hearing & Loudness (sketch)

Hearing & Loudness (sketch)

Our perception of sound is not uniform across frequencies. This interactive sketch explores the fundamental relationship between the physical intensity of a sound wave and our subjective experience of its loudness. At its core, the model visualizes the human auditory threshold—the minimum sound pressure level (SPL) required for a tone of a given frequency to be just audible to an average young listener with healthy hearing. The classic Fletcher-Munson curves, or more modern ISO 226 equal-loudness contours, illustrate that our ears are exquisitely sensitive to mid-range frequencies (around 2–5 kHz) and far less sensitive to very low and very high tones. The physics involves the decibel scale, defined as L_p = 20 log_10(p/p_0) dB, where p is the sound pressure and p_0 is the reference pressure of 20 µPa (the threshold of hearing at 1 kHz). By interacting, students learn that a 50 Hz tone must be played at a much higher SPL (e.g., 60 dB) to be perceived as equally loud as a faint 3 kHz tone at just 10 dB. The simulator simplifies real-world complexity by using a standardized, idealized threshold curve for a single ear in a quiet environment, ignoring individual biological variation, aging (presbycusis), and masking effects from background noise. Key learnings include the non-linear frequency response of human hearing, the meaning of the 0 dB threshold, and the qualitative concept that equal SPL does not mean equal perceived loudness unless the frequencies are identical.

Who it's for: High school physics and biology students studying waves, sound, and human sensory systems, as well as introductory undergraduate courses in acoustics, psychology, or audio engineering.

Key terms

  • Auditory Threshold
  • Equal-Loudness Contours
  • Sound Pressure Level (SPL)
  • Decibel (dB)
  • Frequency Response
  • Fletcher-Munson Curves
  • Hearing Range
  • Psychoacoustics

Curve family

40

Real equal-loudness contours (Fletcher–Munson / ISO) are measured psychophysically; this page only shows the mid-frequency dip and ear sensitivity trend next to **Sound Visualizer**.

Measured values

Model SPL @ 1 kHz1.0 dB

How it works

We hear weak highs and lows poorly at low SPL; loudness meters use frequency weighting (A/C) to mimic this behavior in noise standards.

Frequently asked questions

Why is the threshold curve shaped like a 'U'? Why are we less sensitive to low and high pitches?
The shape is primarily due to the biomechanics of the inner ear (cochlea) and the resonance of the outer ear canal. The cochlea is most efficient at translating mechanical vibrations into nerve signals for mid-range frequencies, which correspond to important speech sounds. Low frequencies require more energy to excite the cochlear fluid, while very high frequencies are damped by the mass and stiffness of the auditory structures.
Does 0 dB mean no sound at all?
No. 0 dB SPL is a defined reference point, not the absence of sound. It represents the average threshold of hearing for a 1 kHz tone—the faintest sound a young, healthy ear can detect. Sounds below this curve are inaudible. Absolute silence would correspond to a sound pressure of 0 Pa, which is a physical impossibility in our environment and is far below the 20 µPa reference.
If two different frequency tones are played at the same decibel level, will they sound equally loud?
Not necessarily. The decibel level measures physical intensity (SPL), not perceived loudness. Due to the ear's frequency sensitivity, a 100 Hz tone at 60 dB SPL will sound much quieter than a 1 kHz tone also at 60 dB SPL. To make them sound equally loud, you would need to increase the SPL of the 100 Hz tone significantly, following an equal-loudness contour.
How does this relate to volume controls on music players or hearing loss?
A simple volume control increases the SPL uniformly across all frequencies. Because our hearing is less sensitive to bass, boosting the overall volume makes low frequencies more perceptible, which is why music sounds fuller when turned up. Hearing loss, especially age-related, often starts with reduced sensitivity at high frequencies, effectively steepening the right side of the threshold 'U' shape.