Clever Quest Lab ← Labs

Equal-Loudness Contours

Match tones of different pitch to a 1 kHz reference and draw your own equal-loudness curve next to the standard one.

  • Your curve, soft reference
  • Your curve, medium reference
  • Standard 40-phon shape
  • Standard 60-phon shape
  • 1 kHz self-check
  • Limit reached
  • Earlier run

Your curve also contains the frequency response of your headphones. The standard curves (ISO 226:2003) were measured with a sound source in front of the listener in an echo-free space, and the true loudness level of your reference tone is unknown without calibration. Compare the shapes, not the absolute values. This is not a medical test.

Step 1 of 3

Before you start

  • Use headphones in a quiet room.
  • Turn the device volume down now. You set it in step 2.
  • Switch off equalisers and other sound effects, if you can.

Too loud? Press Esc or Stop, or take the headphones off. This is not a medical test.

Sound is off – it starts only when you press a button.

How to use it

Put on headphones in a quiet room and turn the volume of your device down. In step 2, play the 1 kHz reference tone and raise the device volume until the tone sounds like a normal speaking voice. After that, leave the volume alone: every result is measured relative to that tone.

During a run two tones take turns: the 1 kHz reference, then a test tone of a different pitch; labels show which one is playing. Make the test tone louder or softer until both seem equally loud, then confirm. Judge only loudness, not pitch. Each match becomes a point on the graph. Run the soft and the medium level to get two curves.

Controls

How it works

Two tones with the same sound pressure level can differ a lot in loudness when their frequencies differ. Acoustics therefore uses the loudness level, measured in phons: a sound has 40 phons when it seems as loud as a 1 kHz tone at 40 dB SPL. An equal-loudness contour joins all combinations of frequency and level that sound equally loud.

Fletcher and Munson published the first widely used contours in 1933, measured with headphones. The curves were measured again with loudspeakers in 1956, and a large international study led to the revised standard ISO 226 in 2003. Its 2023 edition changed the values by 0.6 dB at most. The page computes the 2003 curves from the formula in the standard:

Lp = (10 / αf) · log10 Af − LU + 94 dB
Af = 0.00447 · (100.025 LN − 1.15) + (0.4 · 10(Tf + LU)/10 − 9)αf

LN is the loudness level in phons, Lp the sound pressure level that produces it. The threshold Tf and the constants αf and LU are tabulated for 29 frequencies from 20 Hz to 12.5 kHz. The graph shows the 40- and 60-phon contours shifted to 0 dB at 1 kHz.

The curves dip between about 2 and 5 kHz, where the ear is most sensitive. A main reason is the ear canal: a tube about 2.5 cm long, closed by the eardrum, that resonates at roughly 3 kHz. On the 40-phon contour a 63 Hz tone needs about 33 dB more level than a 1 kHz tone; on the 80-phon contour only about 18 dB. The contours flatten as the level rises. That is why music played quietly loses its bass, why some amplifiers have a “loudness” button that boosts the bass at low volume, and why a mix balanced at low volume can sound boomy when played loud.

Your own curve also contains the frequency response of your headphones, which can differ by many decibels between models. The standard describes young adults listening with both ears to a source straight ahead in an echo-free space, not to headphones. And without calibration nobody knows how many phons your reference tone has; the 40- and 60-phon curves are only the nearest guesses. So compare shapes, not absolute values.

The procedure is the method of adjustment. Each test tone starts at a random level, alternately above and below the expected match, and the level stays hidden while you adjust.

Things to try

Frequently asked questions

Is this a hearing test?

No. It is not a medical test, it is uncalibrated and it says nothing about whether your hearing is normal. If your hearing drops suddenly, see a doctor the same day.

Why does my curve differ from the standard one?

Mostly because of your headphones and how they fit. The unknown level of your reference tone, headphones instead of a free sound field, your individual ears and the matching error add to it.

What exactly is a phon?

The loudness level in phons equals the level in dB SPL of an equally loud 1 kHz tone. For a 1 kHz tone both numbers are the same.

Why did I get “limit reached”?

The page never plays above digital full scale and never more than 20 dB above the level the standard predicts. Deep bass on small earphones can need more.

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