Standing Waves and Harmonics
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- Опубліковано 6 лип 2024
- Not all waves travel across the ocean or across the universe. Some are stuck in a certain spot! Like the vibrations of the strings on a guitar. What's the deal with these standing waves? And what's this, quantization? Oh my! We'd better learn about this concept before digging into modern physics.
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These videos are excellent. He's so good at condensing all the information together in a way that doesn't overwhelm you. He gets right to the point -- no fluff, but somehow also gives enough details for it to all make sense. He's got a real gift for communication!
Great video!
A minor point in the grand scheme of things, but modern tuning systems do not use integer ratios as the basis for frequencies, but irrational numbers. Sometimes they are close, for example the fifth and the fourth, but sometimes they are quite far apart.
Ultimately, this is because rational intervals cannot subdivide the octave, so if you use rational intervals you'll always run into problems with intervals which sound bad. By using irrational intervals, you can spread out the error to make the tuning system more flexible.
Thanks Jesus
@therealnightwriter
I don't think he is even christian .
He is just saying that based on his (Dave's) appearance.
therealnightwriter r/woosh
@therealnightwriter LOOL shut up neckbeard.
@@hmmmwhat7207 Can I be in the screen shot?
@@chemistryguy9679 r/canibeinthescreenshot
Liked and subscribed! This was an excellent introductory view of harmonics and standing waves.
Looking forward to digging through the rest of your material. Thank you, from a life-long autodidact trapped in a cycle of shift work.
**edit** The "d" stands for "David", by the way. Glad to see another Dave doing such good work.
This video was so informative. Thank you again Prof. Dave ! I'm taking Physics II now, and i'm getting so interested in waves. Physics I was such a bore in comparison
I was NOT expecting that intro, lowkey enjoyed it though
I thought professor Dave explains only chemistry but he explains physics too..he's a life saver 😭❤️
I was trying to understand musical chords and ended up here
Thank You Prof. Dave. :) This is coming in my exams 2 weeks from now, and the video definitely helped.
It's really cool that colors also follow rules of math. That's why certain colors look so good together even though they aren't alike at all. Ex blue and yellow.
While certain look hideous when put together ex. Orange and pink.
There is a geometric relation of contrast, grading and a whole color theory to be studied.
Math is awesome!
I'd like to know more about this. Can you provide me a good source or article? Thanks.
Why you dont like orange and pink? thats just classic sunset flavour
not sure that colors that "look good together" is tied to standing waves- that's fairly subjective. But standing waves and light ARE the reasoning behind why you can see rainbow patterns in oil on water, or why certain insects can have dazzling colors
Thanks!
Beautiful explanation of a beautiful topic. Thanks Prof Dave.
I first became aware of standing waves and room nodes in the later 1970's. Room size, acoustics and shape can disastrously affect sound. I have used, to good effect, a graphic equalizer since 1978 in my audio chain. An anechoic chamber might not be practical in your home (mine neither) but a quality EQ can help a lot. I've used an ADC Sound Shaper Two IC since purchase in 1982. Thanks for the lucid explanation of this phenomenon.
Thanks Prof! Please make your next videos on Electric Field, Flux, Potential and Gauss Law! Thanks!! :D
Thanks professor Dave. I teach earth and space science so I cover electromagnetic waves as well as mechanical seismic waves. I like to do a denser spring demo with the kids but I don’t delve too deeply into the mechanics of waves. I would like to use this video as an enrichment activity though. Thanks so much for this 👍
What an amazing overall this classic physics series has been so far. I am enjoying every bit of it. Thank you Dave, your work has been a great help in my exams preparation.
thanks Prof Dave! this really helped
Watching this video just made me realize how little I know abt physics....
Hai
Well good thing there was hardly any physics in the video.
@@pirate0bloodyskull ikr
Thanks for going into detail on this I always wondered how to explain that
One of the best channels!
thanks as always, your videos are always helpful.
The explantion is very clear and easy to understand. Thank you very much.
I’ve reached a point where I like the video before it even begins, I just know it’s going to be amazing
I really like the way you are explaining these concepts!! I do this in my personal note-taking where I will take a complex term and break it down into simpler terms and then try to "walk" my way through the terms in a sequence that makes the "bigger picture" easy to imagine as a progression of ideas that build off of each other in an obviously related way. You do this better than I've seen anyone do in a video before!! Thank you so much, very inspiring!!
Hello... Putrycz
Awesome. Thank you for the great video. This is very clear and well presented.
Sir these short vedios are quite amazing and helpful too. The way you deliver the content is unique in itself. Thankyou Sir.
2:04, if that's how drums make their sound in slow motion, that's fucking cool.
Amazing, right? I will never look at drums the same way again!
That is an animated graph of the Bessel function, which is the solution to the wave equation with the boundary conditions of a drum head. In other words, that is how a mathematically idealized drum would vibrate.
I think we really need more detail about the consonant intervals. Deserves its own video
Fascinating that combined standing waves at constant intervals produce perfect tones in music... Thanks professor Dave... ☮🔥
Thanks professor Dave that’s totally helpful for me
I have a test tomorrow and you helped a lot.
Brilliant how you define problem of The amplitude of harmonics in modern way!
Thank you for nodes and standing waves.
The alternative process-of extracting from the signal the various frequencies and amplitudes are present practical for physical approach like: "How to guid!"
Great job done professor Dave🎉
great lesson. Thanks
You are good explaining !!Congratulations
You're so amazing professor
Great video. Many thanks.
Good sh*t man!
But on the real, I was looking for a clear and concise explanation of this phenomena, the "must have 0 amplitude at the boundaries" really did it for me.
My question is what if you tried to force an incompatible frequency into a wave with a fixed boundary??
Standing waves are a special case of wave interference, for an incompatible wave (different w, where w is angular frequency), you can use the superposition priciple to check the amplitude of the resultant wave. The new wave wont be a standing wave but an interference result.
For example,
For a 2 mechanical waves on string which are moving in same direction, we can interfere them as-
Y1(x,t) + Y2(x,t).
It shall come out to be -
2a cos@/2 sin(kx-wt+@/2) where @ will be the phase difference between them.
So interference of two diffferent waves can be calculated this way.
Thanks now I know the connection between music and quantum mechanics
It was easy after learning this ... Thank you prof.😃
yeah i still cant understand how can someone simplify stuff yet cover all details.
Great videoas always.
thank you
Nice explanation
Standing Waves and quantization is also the reason String Theory is so important even though it is not well understood. It has the principle of Nature at it's core.
I have an upcoming exam thanks alot professor Dave
Outstanding sir
Cool way of remembering nodes
node = no amplitude
Antinode = yes amplitude
Thank you professor
Can you explain where the extra length of string comes from when the standing wave is at its highest amplitude vs when it is a straight line.
Hello Dave!
I have to say that if I know this stuff already Pretty Well, I don't know, just hearing You and seeing your Very Clear btw Presentation, I have Realised something of VERY GREAT Importance to me while relating Standing Waves with something very specific. I guess I have to thank You and to Congratulate You for the Pedagogic Quality :)
Very Thanks for your video :)
thank you very much this helped me a lot while reading my book
i love the music for checking comprehensions
nice presentation:)
Cool he is!
Prof dave .. pls can u tell me how can i study pysic in best ways pls ... and im always watching ur videos ❤
Also can u tell me some advices about studying physic pls ?
I'am a teacher, but feels like a student when he lectures. I enjoyed your videos a lot
reaaaally good!
Lots of love from india sir❤️
Clear explanation..
Thxz a lot prof
Excellent video! Thanks, I'm going to link here for my students!
such as flavor/color change and spin
Very good!
Comprehensive explaination
I can tell these are gonna save me for revision
Awesome!
Hey Professor Dave you should watch Alain Connes, Fields Medal math professor - his youtube lectures on quantum music of the sphere. He calls it (2, 3, infinity) because the 2/3 and 3/2 standing waves are actually noncommutative geometry. There's more to it but I won't steal his show...
When you pluck a string, it travels like a jump rope it is not 2 dimensional. Wouldn’t the wave also be radial? Or helical?
this is great!
can this relate to the spin of subatomic physics ?
I luv the intro tooo much😂😂🎉❤
upload video on Doppler effect
this is amazing
Thankyou!
Dude u r a life saver
do you have a transcription of this video? I would benefit from a text version to read. Thanks for making!
Also, do any of your lessons cover traveling waves?
Many thanks for an informative video. May I ask a question: do I understand correctly that an octave is the sum of the first and second harmonics (or in fact just the second harmonic) and a fifth is the sum of the second and third harmonics (or just the 3rd harmonic in fact). Cheers, in anticaption, John Roberts.
An octave is a 12-semitone interval between two frequencies that have a ratio of 2 between them. A fifth is a 7-semitone interval, that has a 1:1.5 ratio between the frequencies
Thanks proffy
thanks so much
There's an error at 2:56. The second major sixth should be a major seventh instead.
oh man how did i miss that! it's just a picture from the internet, i should've looked more carefully at it.
yeah i had to look at it twice to make sure i wasn't seeing things.
As the old saying goes..."you get what you pay for." No offense Dave...just being real because I'm sure you'd say the same thing if the tables were turned and being an instructor, you've said it and thought many times.
You're observant
Phew...glad its not just me that spotted the Major 7th Mix up !
bless ur soul
I think possible chinese air force of japan or our naval aviation had an idea of roller conveyor build of sound so air plane or anything can ride on it frictionlessly like roller convey by standing way rolling conveyor..that is how the back to the future hover board is designed
Sir do vocal folds vibrate at multiple frequencies at the same time.
Means how do vocal folds produce both fundamental vibration and series of harmonics simultaneously??????pls clarify sir. Is it done by vocal folds or vocal tract or by fundamental vibration itself ??
Yes. That is how you can tell the difference between a human voice and a pure sine wave, both with the same frequency.
Thank you
Nice explaination.
Respect from Punjab india. 🙏☺
what about PHI ratio harmonics?
Can u make a video on overtones as well ,professor!
even when within the depths of A-Level physics revision GCSE music still finds a way to haunt me
With HiFi headphone, I can hear up to 1hz, with the pure tone wave, here I mean the normal smooth wave, not the winding wave, because the audiometry on a winding wave is unfair ??
Why can't we have *Transcendental multiples* of Fundamental frequency? And what are some systems that exhibit Non-harmonic behavior?
We can. One example of such a system is the vibrations on a drum head, where you need a Bessel function to calculate the natural frequencies. This is why a drum has a characteristic percussive sound, where it doesn't register as a music note to us. It is a mix of frequencies that don't fit their waveforms together, like the harmonics of melodic instrument sounds.
It is the case for standing waves on a string, that the harmonics have to be integer multiples of the fundamental frequency.
Sir , you look like a ranveer kappoor, (who is indian actor). And you teach excellent
Kapoor
If a guitar string is a standing wave, with no oscillations at the boundaries, why does changing the tension change the pitch?
Thanks
Can someone direct me to a video that explains how multiple harmonics/standing waves can exist simultaneously on a string....thanks
Did not understand your question.....
Its great to see Ranbir kapoor teaching physics.. keep it up bro..👍
Yaa i also think same
I am your fan
thanks its tooooooooo helpfull
you're nice thanks
If higher frequency means more energy, why are overtones not as loud as the fundamental frequency?
For an unchanged amplitude, a higher frequency means more energy. Overtones have significantly less amplitude than the fundamental frequency.
Thank you, now I understand quantization. lol
'Preciate it.
Nice 🎉
Standing & 4th harmonic is physics like we can listen in.