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Helmholtz Resonance

Image: Wikimedia Commons, CC BY-SA 2.5 — via Wikimedia Commons

Helmholtz Resonance

Helmholtz resonance

CategoryOther
Country of originGermany (acoustic concept)
Classificationmusical instrument
Wikipediaen.wikipedia.org
WikidataQ1569889

Editorial note: Helmholtz resonance is an acoustic phenomenon, not an instrument. This page explains the principle and links to the instruments whose sound depends on it. WP publication is recommended subject to CEO review; consider classifying this as an “acoustics concept” rather than an instrument page.

Overview

Helmholtz resonance is the natural acoustic resonance of a volume of air enclosed in a cavity with a small opening. The German physicist and physician Hermann von Helmholtz studied the phenomenon in the nineteenth century and gave his name to the simple resonators he designed to isolate and measure individual frequencies. Many musical instruments — including the ocarina, the empty body of an acoustic guitar, the air cavity of a violin, and pop and beer bottles blown across the top — produce or amplify pitches by means of this principle.

How It Works

A Helmholtz resonator consists of a roughly enclosed volume of air (the cavity) connected to the outside by a smaller opening (the neck or port). Air in the neck behaves like a moving mass, and air inside the cavity behaves like a spring; together they form a simple oscillator with a natural resonant frequency. Blowing across the opening, or any other source of sound containing energy at that frequency, will excite the resonator strongly at its natural pitch.

The resonant frequency depends on the speed of sound, the area of the opening, the length of the neck, and the volume of the cavity. Smaller cavities and larger openings produce higher pitches; larger cavities and smaller openings produce lower pitches. Helmholtz himself built sets of glass and brass resonators of carefully calculated sizes for use in his acoustic research, and the term “Helmholtz resonator” is still used for these laboratory devices.

Helmholtz Resonance in Musical Instruments

Many instruments rely on Helmholtz resonance for some or all of their sound:

  • Ocarina – the entire body is a Helmholtz resonator; finger holes change the effective opening area and so alter the resonant pitch.
  • Acoustic guitar, violin, mandolin and other string-instrument bodies – the air cavity of the body, with its sound hole or f-holes, has a Helmholtz resonance that boosts a particular low-frequency band of the instrument’s tone.
  • Bass-reflex loudspeakers – modern speaker enclosures often include a tuned port that uses Helmholtz resonance to extend bass output below what the driver alone could produce.
  • Bottles blown across the top – the simplest everyday demonstration of Helmholtz resonance.

Cultural and Scientific Significance

Helmholtz’s mid-nineteenth-century work on acoustics, set out in his book On the Sensations of Tone (1863), helped found the modern science of musical acoustics and remains influential. The Helmholtz resonator concept underpins both the design of many modern instruments and a great deal of contemporary architectural and automotive noise control engineering.

Related Pages

  • Ocarina – an instrument whose entire sound depends on Helmholtz resonance
  • Violin – uses Helmholtz resonance in the body cavity
  • Sea organ – a contemporary installation that uses tuned cavities driven by waves

Sources

Related instruments