Using the Fletcher-Munson curves of equal loudness, determine the loudness level

Question

Using the Fletcher-Munson curves of equal loudness, determine the loudness level in phons of each of the following tones. Remember that the horizontal axis is marked as a logarithmic scale. The divisions between 100 and the far left represent 90, 80, 70, 60, 50, 40, 30, and 20. The divisions between 100 and 1000 represent 200, 300, 400, 500, 600, 700, 800, and 900.

10 20 30 40 50 60 70 80 90 100 110 120 A 100dB tone at a frequency of 1000Hz
10 20 30 40 50 60 70 80 90 100 110 120  A 22dB tone at a frequency of 10kHz
10 20 30 40 50 60 70 80 90 100 110 120  A 68dB tone at a frequency of 100Hz
10 20 30 40 50 60 70 80 90 100 110 120  A 86dB tone at a frequency of 50Hz

Explanation / Answer

i) For a 100 dB tone at a frequency of 1000 Hz---Loudness level is 100 phons

ii) For a 22 dB tone at a frequency of 10 kHz---Loudness level is 10 phons

iii) For a 68 dB tone at a frequency of 100 Hz---Loudness level is 60 phons

iv) For a 86 dB tone at a frequency of 50 Hz---Loudness level is 70 phons

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