Sound and Vibration
Sound in air is a travelling pattern of pressure change. A vibrating string, vocal fold or loudspeaker pushes and pulls nearby air; that motion reaches the eardrum and the auditory system turns it into hearing.
- frequency in hertz
- sound speed about 343 m/s at 20 C
- wavelength = speed / frequency
Where you run into this
- Every instrument
- Recording
- Tuning
- Acoustics
From source to ear
When a speaker cone moves forward, it compresses nearby air. When it moves backward, it produces a region of lower pressure. Those alternating pressure changes travel outward.
The air does not travel from the speaker to your ear as one parcel. Individual particles oscillate around their positions while energy and information propagate through the medium.
Frequency and pitch
Frequency counts cycles per second. One cycle per second is 1 hertz.
For a simple steady tone, increasing frequency generally raises perceived pitch. A4 is commonly tuned to 440 Hz. A5 is 880 Hz and A3 is 220 Hz.
Pitch is a perception, so it is not identical to a frequency reading. Spectrum, duration, level and listening context can affect what pitch the auditory system hears.
There is no single pulse-to-pitch boundary
Very slow repetitions are heard as separate events. Faster repetition can fuse into a tone with a perceived pitch. The transition depends on waveform, level and listener; roughly 20 Hz is a useful orientation, not a switch shared by every sound and ear.
Use the slider near its low end. Listen for both repetition rate and pitch-like fusion rather than trying to find one universally correct threshold.
Amplitude and loudness
Amplitude describes the size of the pressure variation. Increasing it raises physical sound level.
Loudness is the listener's experience. It also depends on frequency, duration, spectrum and hearing sensitivity. Equal amplitude at 50 Hz and 3 kHz will not necessarily sound equally loud.
Decibels use a logarithmic scale because sound pressures and intensities cover an enormous range. A decibel value also needs a reference: dB SPL, dBFS and gain readings do not mean the same thing.
Wavelength
At about 20 C, sound travels through air near 343 metres per second. Wavelength equals speed divided by frequency.
| Frequency | Approximate wavelength |
|---|---|
| 55 Hz | 6.24 m |
| 110 Hz | 3.12 m |
| 440 Hz | 0.78 m |
| 1000 Hz | 0.34 m |
Long bass wavelengths interact strongly with room dimensions. This is why small studios can have large low-frequency peaks and nulls.
Periodic sound and noise
A periodic waveform repeats. Its spectrum commonly contains a fundamental and components related to that repetition rate.
Noise is aperiodic or statistically irregular. It can still have spectral shape: white and pink noise differ in how energy is distributed across frequency.
Many instruments combine both. A flute note has a pitched periodic body plus breath noise; a snare combines resonant modes with broadband noise.
Beats and phase
Play 440 and 443 Hz together. Their relative phase cycles in and out, producing three amplitude beats per second.
Phase describes position within a cycle. Identical waves aligned in phase reinforce; opposite polarity can cancel under ideal conditions. With microphones, delays vary by frequency, producing partial reinforcement and cancellation across the spectrum.
A five-minute experiment
- Set 220 Hzname its pitch region.
- Double to 440 Hzhear the octave.
- Double againconfirm that equal octaves require multiplication.
- Compare 440 and 443 Hzcount three beats each second if your tool permits close tones.
- Calculate 440 Hz wavelength343 / 440 is about 0.78 m.