Physic Labs

Oscillations and waves

Physical and perceptual characteristics of sound

See how amplitude, fundamental frequency, and overtones shape a sound wave. Relate pitch to frequency, loudness to amplitude/intensity level LI=10log⁡10(I/I0)L_I = 10\log_{10}(I/I_0) dB, and timbre to the overtone spectrum.

High school

⚠ Display-only simulation; with real sound, avoid levels above ~85 dB for extended periods to protect hearing.

Equipment

  • Sound-wave model drawn as a displacement curve on canvas
  • Wave-amplitude slider
  • Sliders for fundamental frequency and second-overtone ratio
  • Quantity readouts and a Pause button

Procedure

  1. Change amplitude: loudness

    Drag the amplitude slider: the wave peaks grow taller while the shape stays the same. Larger amplitude = stronger pressure swings = louder sound; intensity scales with amplitude squared, so LI=10log⁡10(I/I0)L_I = 10\log_{10}(I/I_0) rises ~6 dB per amplitude doubling.

  2. Change the fundamental frequency: pitch

    Drag the frequency slider: the wave compresses or stretches along the time axis. Higher frequency means higher pitch — doubling frequency raises the tone one octave. Note the f reading and relate the period T = 1/f on the figure.

  3. Add overtones: timbre

    Raise the second-overtone slider: the waveform departs from a pure sine and sharpens — same pitch and loudness but different timbre, like two different instruments. Return to 0 to compare with the elementary sine wave.

Simulation

Experiment history

Marin Mersenne made the first measurements of sound frequency in the 1630s, linking pitch to oscillations per second — published in Harmonie universelle (1636). Galileo had also observed that a vibrating string's pitch scales with frequency. In 1863 Hermann von Helmholtz used resonators to analyze overtones in On the Sensations of Tone, founding the notion timbre = overtone spectrum. In 1933 Fletcher and Munson measured equal-loudness contours showing perceived loudness depends on frequency — the basis of modern psychoacoustics.

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