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Phon

Phon is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Phon rather than just read about it. In short: The phon is a logarithmic unit of loudness level for tones and complex sounds. Loudness is measured in sones, a linear unit.

Phon — main illustration
Phon — illustration

Key takeaways

  • Phon belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Phon to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Phon from memory before moving on to harder problems.

Reference excerpt

The phon is a logarithmic unit of loudness level for tones and complex sounds. Loudness is measured in sones, a linear unit. Human sensitivity to sound is variable across different frequencies, so although two different tones may present an identical sound pressure to a human ear, they may be psychoacoustically perceived as differing in loudness. The purpose of the phon is to provide a logarithmic measurement (like decibels) for perceived sound magnitude, while the primary loudness standard methods result in a linear representation. A sound with a loudness of 1 sone is judged equally loud as a 1 kHz tone with a sound pressure level of 40 decibels above 20 micropascals. The phon is psychophysically matched to a reference frequency of 1 kHz. In other words, the phon matches the sound pressure level (SPL) in decibels of a similarly perceived 1 kHz pure tone. For instance, if a sound is perceived to be equal in intensity to a 1 kHz tone with an SPL of 50 dB, then it has a loudness of 50 phons, regardless of its physical properties. The phon was proposed in DIN 45631 and ISO 532 B by Stanley Smith Stevens.

Definition By definition, the loudness level in phons of a sound is the sound pressure level (in dB SPL) of a 1 kHz pure tone that is judged as having the same loudness. The phon unit is not an SI unit in metrology. It is defined as a unit of loudness level by the American National Standards Institute in the Acoustical Terminology standard ANSI/ASA S1.1-2013. Because the phon is a unit associated with a subjective percept, it is obtained by presenting the considered sound to a group of normal-hearing human listeners and by taking the median of the loudness levels they report. Such measurements have been performed for known sounds, such as pure tones at different frequencies and levels. The equal-loudness contours are a way of mapping the dB SPL of a pure tone to the perceived loudness level in phons (see loudness for details).

See also A-weighting

References

Further reading Paulin, Eugen (2007-09-01). Logarithmen, Normzahlen, Dezibel, Neper, Phon - natürlich verwandt! [Logarithms, preferred numbers, decibel, neper, phon - naturally related!] (PDF) (in German). Archived (PDF) from the original on 2016-12-18.

External links Explanation with definitions Correlation between sones und phons − calculator

Illustrations

Phon: Equal-loudness contours
Equal-loudness contours

Worked examples

Example 1 — a first encounter with Phon

Start with the simplest possible case. Write down what Phon claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Phon before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Phon ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Phon

In research
Phon appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Phon in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Phon is common in secondary-school and first-year university syllabi. It links to neighbouring topics Acoustics, Hearing, Human-based units of measurement, so understanding it makes those chapters shorter.
In everyday life
Look for Phon outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Phon in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Phon means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Phon out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Phon in simple terms?

The phon is a logarithmic unit of loudness level for tones and complex sounds. Loudness is measured in sones, a linear unit.

Why does Phon matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Phon?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Phon.

Tags

  • Acoustics
  • Hearing
  • Human-based units of measurement
  • Sound
  • Units of sound

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