Amazing content as usual, I like when you introduce 'real' components and apply the theory to them. Everything is so much easier to understand like this.
Thank you for this. I'm working on acoustics and wav file manipulation in python. You've struck just the right ammount of math, physics and hands on coding. 👌
As a guitar player, I completely vibe with when you picked up the guitar to demonstrate muting, but then just had to do a little blues jam. It is impossible not to.
My guess for the pattern in the second and fourth harmonic would be, that they're both exactly one (or two for the fourth harmonic) octaves above the fundamental E, so they should resonate particularly well with the higher E string. Since the high E string won't have the exact same frequency as the harmonics (out of tune...), there will be an interference between the sounds, or a beat, which can be heard going louder and quieter.
I think you're right. I tried to calculate what the fundamental frequency of the high E string would need to be to produce the beats frequencies seen on the second and third harmonics, but I couldn't get it to match both simultaneously. Maybe this is because the high E string doesn't resonate at the third harmonic of low E? Curious to see what Mr. P learns when he tests it.
@@Henriiyy I believe you can see it in the orange curve at: ruclips.net/video/WMOrCBxxgvA/видео.html. I reproduced his plots using Matplotlib's spectrogram where I played with FFT lengths to make it more visible. I share your surprise. I was convincing myself that maybe the B string is involved, it being the third harmonic of the low E string. I played around with touching the B string after strumming the E string to see if I could feel any induced vibration, but couldn't feel anything. Couldn't feel anything on the high E string either, though.
Perhaps, if you muted and then quickly lifted your finger, depending on the position of the muting, maybe it produced interactive harmonics with constructive interference at a specific frequency range?
Would nonlinear effects such as sum frequency generation (w+w=2w), difference frequency generation (3w-w=2w) be responsible for the dips/bounces you see? I know these are well studied in nonlinear optics, but I don't know of the equivalent in acoustics.
Hi @Mr. P Solver, it would be great if you could make a video on solving for a non linear Hamiltonian using scipy's root finding method (a.k.a : by iterations).
I believe the ins and outs in intensity are due to other parts of the guitar passing some of the energy around, I mean the whole point it to pass it to the sound board. I would love some spectral analysis for FTIR/RAMAN Also it killed me in the beginning to hear it referred to as "muting", I am used to "muting" being palm muting. What you are doing I refer to as playing a harmonic and the position can be specified, for instance in Harvest Moon there are harmonic positions played, ie H7 is the 3rd.
I am not an expert, so take this with a pinch of salt. Adding rhis comment so that this idea is not missed out here where an amazing analysis is done - I guess the 2nd and 4th harmonic characteristics are due to the standing wave pattern generated by the wave going back and forth the string. These harmonics should be dependent on the length of your string.
Im sorry, I have a problem related to programming a 4th order Runge-Kutta method for a system of 987 coupled linear differential equations, I have the matrix of the system but I have a hard time solving it. Could anyone help me?
Thank you. I am a high school student so sorry about my ignorance. My teacher was teaching us something and he used geogebra to do so. It was very good simulating what he was trying to convey. I just wanted to know that why can't we just use geogebra instead of python to solve physics and maths problem because is so much easier. What is it about Python that geogebra can't do? Sorry about my ignorance. Thank you.
You really threw a whole remix of the pysic professor in the middle of the video. Its beautiful.
Amazing content as usual, I like when you introduce 'real' components and apply the theory to them. Everything is so much easier to understand like this.
Thank you for this. I'm working on acoustics and wav file manipulation in python. You've struck just the right ammount of math, physics and hands on coding. 👌
As a guitar player, I completely vibe with when you picked up the guitar to demonstrate muting, but then just had to do a little blues jam. It is impossible not to.
I love this one so much!!!! Other contents are perfect! We support you, man! Keep making videos like this and teach us more!
Hi from Puerto Rico. Love the videos, KEEP EM COMING
Mr. P is the one of the people we need to teach computational physics!
Would love to see more content on power series, this was awesome and the statistical stuff sounds interesting too.
This is awesome!
Would be interested in more videos about spectral analysis
FANTASTIC, IT WAS WHAT I WAS LOOKING FOR. I'M ALREADY LIKE AND FOLLOW! AMAZING
🤓
My guess for the pattern in the second and fourth harmonic would be, that they're both exactly one (or two for the fourth harmonic) octaves above the fundamental E, so they should resonate particularly well with the higher E string. Since the high E string won't have the exact same frequency as the harmonics (out of tune...), there will be an interference between the sounds, or a beat, which can be heard going louder and quieter.
Ooo interesting. I'll have to test this by muting the high E string to see if I can remove this resonance effect
I think you're right. I tried to calculate what the fundamental frequency of the high E string would need to be to produce the beats frequencies seen on the second and third harmonics, but I couldn't get it to match both simultaneously. Maybe this is because the high E string doesn't resonate at the third harmonic of low E? Curious to see what Mr. P learns when he tests it.
@@wiremetrics was there also a beat for the third harmonic? That would be surprising, since it's not an e note, but a quintic higher
@@Henriiyy I believe you can see it in the orange curve at: ruclips.net/video/WMOrCBxxgvA/видео.html. I reproduced his plots using Matplotlib's spectrogram where I played with FFT lengths to make it more visible. I share your surprise. I was convincing myself that maybe the B string is involved, it being the third harmonic of the low E string. I played around with touching the B string after strumming the E string to see if I could feel any induced vibration, but couldn't feel anything. Couldn't feel anything on the high E string either, though.
@@wiremetrics the B string makes sense. On a piano at least, you can get the third harmonic string to resonate clearly.
Will it be a video series? 🤩
Maybe. Might do an experiment to investigate the dips/bounces over time for the power of the 2nd and 4th harmonics of the low E.
Can you make more videos on spectral analysis? Also how to make spectrograms, and wavelet analysis?
Up!
Awesome video! Thank you!
Perhaps, if you muted and then quickly lifted your finger, depending on the position of the muting, maybe it produced interactive harmonics with constructive interference at a specific frequency range?
Please, make a statistical video on this theme!
Do wavelet analysis next
Could repeat the experiment on a guitar without the other strings? Maybe the rest of them interfere with the E string...
Would nonlinear effects such as sum frequency generation (w+w=2w), difference frequency generation (3w-w=2w) be responsible for the dips/bounces you see? I know these are well studied in nonlinear optics, but I don't know of the equivalent in acoustics.
Hi @Mr. P Solver, it would be great if you could make a video on solving for a non linear Hamiltonian using scipy's root finding method (a.k.a : by iterations).
I would definitely like to see you cover a statistical version of spectral analysis of time series.
Yes please!!’
I believe the ins and outs in intensity are due to other parts of the guitar passing some of the energy around, I mean the whole point it to pass it to the sound board.
I would love some spectral analysis for FTIR/RAMAN
Also it killed me in the beginning to hear it referred to as "muting", I am used to "muting" being palm muting.
What you are doing I refer to as playing a harmonic and the position can be specified, for instance in Harvest Moon there are harmonic positions played, ie H7 is the 3rd.
hats off
great channel!
Hi Mr/ P Solver I suggest you also make a tutorial on Machine Learning. I want to learn ML to use it in predicting earthquake.
I am not an expert, so take this with a pinch of salt. Adding rhis comment so that this idea is not missed out here where an amazing analysis is done - I guess the 2nd and 4th harmonic characteristics are due to the standing wave pattern generated by the wave going back and forth the string. These harmonics should be dependent on the length of your string.
What's Mr.P's actual name though ?
Im sorry, I have a problem related to programming a 4th order Runge-Kutta method for a system of 987 coupled linear differential equations, I have the matrix of the system but I have a hard time solving it. Could anyone help me?
Thank you. I am a high school student so sorry about my ignorance. My teacher was teaching us something and he used geogebra to do so. It was very good simulating what he was trying to convey. I just wanted to know that why can't we just use geogebra instead of python to solve physics and maths problem because is so much easier. What is it about Python that geogebra can't do? Sorry about my ignorance.
Thank you.
WOOOOOP!
o7 thanks captain
First 👋
👏
👏much wow
@@baldhat2498 😅
Man found the video before it was even taken off of unlisted