Can a solid sympathetically resonate at a harmonic?

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Solid objects, like steel wires and xylophone keys, can resonate at harmonic frequencies, not just strings. However, their sensitivity to sympathetic resonance at higher harmonics is generally lower compared to their fundamental frequencies. When designing a musical instrument with solid tines, it may be possible to use fewer tines that can resonate at multiple harmonics, but the tuning and shaping of these tines are crucial for achieving desired resonance. The discussion clarifies that higher modes of vibration in real objects are often referred to as overtones rather than harmonics, as they may not align perfectly with integer multiples of the fundamental frequency. Understanding these principles is essential for creating an effective instrument that utilizes sympathetic resonance.
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Hi everyone, first time post here.

I know (or at least think I know) that strings can sympathetically resonate at harmonic intervals. For example, a string whose fundamental is 400Hz is able to resonate at 800Hz if it's excited by a 800Hz source. Maybe I'm wrong on that as well? heh..

Anyways, what I'm wondering is if being able to resonate at harmonic frequencies is something that is just reserved for strings?

Can a solid steel wire do the same, or can an xylophone key for that matter?
 
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They certainly can. Glass isn't a good example (it's not really a solid). Bridges resonate. And your Xylophone too.

Oh, I almost forgot : Hello MW, welcome to PF :smile: !
Have fun here!
 
Thanks BvU,

I'm guessing that objects are less sensitive to sympathetically resonating at higher harmonics, compared to their fundamental right?

I'm trying to design a musical instrument that has solid 'tines' (these can be made of any material, and any shape) for each note that resonate sypathetically to an audio input. I'm just wondering if I need a tine for every note, or if I can just have a smaller # of tines that are able to also resonate at their 1st, 2nd, 3rd harmonic, etc.

I'm also wondering if there's any way to shape the tines to be more sensitive to resonating at their harmonics.

Sorry, I know this is more of a musical instrument sort of question and not a physics question. But as far as I can find, there's no existing instrument to draw much knowledge from on this subject.
 
Nidum said:

Perfect, thank you. So the first harmonic's frequency is 6.27 x the fundamental, and the second harmonic is 17.55 x the fundamental. That's definitely not "Musical" in the way strings' harmonic frequencies double the fundamental. Ruh Roh..
 
The higher modes of vibration of 'real' objects are more correctly called 'overtones' because the frequencies are not harmonics. Some are wildly out ( bells and cymbals) and some are quite near (woodwind and strings).
A Harmonic is an integer multiple of a fundamental frequency.
 
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