Hearing which natural frequencies

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Discussion Overview

The discussion revolves around the perception of pitch in relation to the fundamental and harmonic frequencies of musical instruments, specifically when the third harmonic has a greater amplitude than the fundamental frequency. Participants explore how this affects the perceived pitch and the role of human auditory response.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant suggests that even if the third harmonic has the greatest amplitude, the pitch is still associated with the fundamental frequency.
  • Another participant emphasizes the importance of the human ear's response curve, indicating that the perceived pitch may depend on the interaction between the ear's response and the harmonic spectrum of the instrument.
  • A different viewpoint is presented, where it is proposed that the ear can generate the perception of the fundamental frequency from a set of harmonics, suggesting that the ear's processing plays a crucial role in pitch perception.
  • A participant concludes that the amplitude of the third harmonic affects the intensity of the sound but does not alter the perceived pitch, although they acknowledge that age and ear function may influence the ability to detect the fundamental frequency.

Areas of Agreement / Disagreement

Participants express differing views on whether the pitch is determined by the fundamental frequency or influenced by the amplitude of the harmonics. There is no consensus on the primary determinant of perceived pitch, indicating a contested discussion.

Contextual Notes

Some assumptions about the human ear's response and the nature of sound perception are not fully explored, and the discussion does not resolve the complexities of how pitch is perceived in relation to harmonic amplitudes.

Tam Le
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If you pluck a guitar or cello string, the string vibrates at its fundamental and harmonic frequencies. Suppose the 3rd harmonic has the greatest vibrational amplitude out of all the other rung-out natural frequencies.

Do we still associate the pitch with the fundamental, or will the pitch now be determined by the 3rd harmonic?
 
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You have to take response curve of the human ears into account. The actual response strength over the frequency for human is proportional to product of ears response curve to spectrum of your musical instrument and highest pitch (peak) is found in this result. You know that peak of the ear response curve towards low frequency as being aged.
 
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goodphy said:
You have to take response curve of the human ears into account. The actual response strength over the frequency for human is proportional to product of ears response curve to spectrum of your musical instrument and highest pitch (peak) is found in this result. You know that peak of the ear response curve towards low frequency as being aged.
I believe that if you give the ear a set of harmonics, it tends to generate the fundamental itself. Try using a graphic equaliser on some music.
 
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Thank you for responding goodphy and tech99.

In my mind, you should still hear the fundamental frequency as the pitch: The larger amplitude of the 3rd harmonic simply stretches the complex sound wave vertically; it only affects the intensity/perceived loudness, so the overall frequency/pitch of the complex sound wave is unaltered. (I came to this conclusion after graphing y = sin(x) + sin(3x) [the fundamental and 3rd harmonic; same ampltitude] and y = sin(x) + 2*sin(3x) [different amplitudes].)

Thus, generalizing this, you should always perceive the fundamental frequency as the main pitch. Of course as goodphy said, what you are capable of hearing depends on your age or how well your ear is functioning. So, as you age, your ear will probably be unable to detect the fundamental frequency, and you will perceive the next audible harmonic as the pitch.
 

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