Uncovering the Mystery of Tuning Fork Frequency Discrepancy

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The discussion centers on the discrepancy between the fundamental frequency of tuning forks and the frequency marked on them, with a focus on overtone frequencies. One participant clarifies that tuning forks vibrate at their stamped fundamental frequency and also produce harmonics, which are multiples of that frequency. The fundamental frequency typically has the largest amplitude, making it the most audible. Striking the fork and dampening the fundamental vibration can allow the harmonics to be heard more clearly. The conversation highlights the importance of understanding both fundamental and harmonic frequencies in tuning forks.
Gareth
I'm writing up project on tuning forks and came across website:

http://www.wrps.net/~dave_bergerson/labs/WaveSoundLight/Tones.doc

which suggests that a tuning fork has a fundamental frequency that is different from the frequency stamped on the fork, due to some corrections due to its overtone frequencies. I'm not sure of the origin of this discrepency, is it due to sound interfearing or the way the brain interprets the noise? Has anyone got any equations to qualitativly predict what is going on?

Thanks in advance for your suggestions
 
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which suggests that a tuning fork has a fundamental frequency that is different from the frequency stamped on the fork, due to some corrections due to its overtone frequencies.
I don't believe the document says that at all. What it says is that any tuning fork will vibrate at its fundamental frequency (the one stamped on it), and also at multiples of that frequency. These multiples are called harmonics.

Generally, the fundamental-mode vibration is the largest amplitude, and thus the most easily heard. If you strike a tuning fork and then touch it in the right place to dampen the fundamental vibration while permitting one or more harmonic vibrations, you can then hear the harmonics.

- Warren
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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