The harmonics tag has no wiki summary.
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Young's Modulus and Vibrating String Harmonics
I was wondering how Young's Modulus effects the resonant harmonics of a vibrating (string instrument) string. I know that the string's fundamental frequency is $$\frac{1}2 \times \text{Length} \times ...
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1answer
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Boundary conditions from single-valuedness of spherical wavefunctions
This question is a follow-up to David Bar Moshe's answer to my earlier question on the Aharanov-Bohm effect and flux-quantization. What I forgot was that it is not the wavefunction that must be ...
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Book suggestion of traceless symmetric tensor representation of spherical harmonics [closed]
Earlier this week, a friend was showing me how to solve the angular part of Laplace's equation in spherical coordinates by considering traceless symmetric tensors and how it connects to spherical ...
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1answer
125 views
Where are the harmonics in the radio spectrum?
When I strike a string on my guitar and look at the audio spectrum, I can see the fundamental frequency as a large peak. I can also see the harmonic frequencies as a train of little peaks at ...
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1answer
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How can Hilbert spaces be used to study the harmonics of vibrating strings?
The overtones of a vibrating string.
These are eigenfunctions of an associated Sturm–Liouville problem.
The eigenvalues 1,1/2,1/3,… form the (musical) harmonic series.
How can Hilbert spaces be ...
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Physics of a guitar
I understand that when you pluck a guitar string, then a bunch of harmonic frequencies are produced rather than just the frequency of the desired note.
If this is true, why does C2 sound so different ...
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1answer
217 views
Open Ended/ Close Ended instruments?
Close ended instruments have twice the wavelength, because the wave must travel twice the distance to repeat itself.
Why must a wave reach a lower density medium (air in this case) to repeat? When ...
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2answers
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When are Maximum Velocity and Acceleration acheived in Simple Harmonic Motion?
Im trying to get my head around SMH out of curiosity because it seems simple yet I'm not getting the concept behind some ideas.
For a SMH equation :
$$ x=a \sin(\omega t+\phi) $$
Under what ...
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1answer
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Finding Phase angle of Simple Harmonic Motion?
A sinusoidal oscillator has :
$$x=x_{max} \cos(\omega t - \varphi )$$
Period is 2, initial displacement is 100mm
initial velocity is 200mm/s
What is the phase angle assuming $-\pi < \varphi < ...
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1answer
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resonance frequency [closed]
A string has a mass per unit length of 9 10–3 kg/m. What must be the tension in the string if its second harmonic has the same frequency as the second resonance mode of a 2m long pipe open at one end? ...
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Physics of musical theory [closed]
can you recommend some instructive online source where I could find some information about physics of musical theory. It can be either basic or advanced. I'd like to improve my guitar play ...
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2answers
443 views
Why does an octave on a piano have the divisions of 8 white keys and 5 black keys?
An octave corresponds to a doubling or halving of the frequency. Each octave on a piano and in classical music score is broken downs into 8 white keys and 5 black keys. Is there a physics explanation ...
