This video really resonated with me.

6:09 Best hand-drawn sine ever

@JoshuaRando

6 жыл бұрын

It is so annoying when people use half circles!

@DerpMuse

6 жыл бұрын

I found my type of people lol. It was so even in his pace and periodicity I couldn't help but feel satisfied even after continuing when the centre line has stopped. Bravo.

@eideticex

6 жыл бұрын

Joshua Rando. It must really annoy you that most spheres and circles drawn by computer algorithms are using using sine and cosine curves.

@gnugo9600

6 жыл бұрын

look at his wrist and the forearm while he's drawing it. very similar to a piano player having done their homework practicing legato slurs... never occured to me this helps improving sine drawing skills as well... btw. has anyone else spotted the grand piano with the pile of scores? ;)

@transdimensionalist

6 жыл бұрын

609 good numerology :)

Btw if you tap the fork then roll it between your fingers, the Doppler effect between both branches will produce two notes, one slightly higher and one slightly lower than the fork « at rest », and the interference between these create yet another note.

@macronencer

6 жыл бұрын

Antonin Caors - this comment deserves to be upvoted more! That's fantastic. I remember waving tuning forks about when I was a kid, but I don't think I ever tried that. I will now :)

@kaaiplayspiano7200

4 жыл бұрын

@@macronencer not reddit it called like

@macronencer

4 жыл бұрын

@@kaaiplayspiano7200 "Up" and "voted" have meanings independent of Reddit. The words existed first :) Had I written "liked", the nuance of the idea of voting for something *to make it rise higher on the page* would have been lost.

The thing he showed at the end with the bouncing so that only every second or third vibration hits excited me the most, because it's the first time I've see the subharmonic series represented in reality, and not just as a theoretical construct.

@Bladavia

6 жыл бұрын

You can also do it by touching a piece of paper with the fork, and you can also do it on a violin by pressing the bow very strongly on the strings.

@ZipplyZane

6 жыл бұрын

Blad That makes me think maybe the action in vocal fry is actually using a subharmonic, since its made with very pressed vocal chords.

@Bladavia

6 жыл бұрын

ZipplyZane Actually I think this is also the "beginner violonist sound". I saw this in a video by Adam Neely

@UndoneFakeJesu

6 жыл бұрын

Is it actually a representation of the undertone series of the fundamental, or a new tone created in a new manner with its own overtone series? The fundamental frequency itself isn't convincing and I don't remember having seen anyone demonstrate with accurate measurements that actually produces an undertone series as opposed to just a new fundamental with a new overtone series with a different Fourier series approximation

@Bladavia

6 жыл бұрын

kzread.info/dash/bejne/oWieybKdd9XAiaw.html

This is giving us a pretty good look at how long your production cycle is. Hair for the interview. Bald a few videos ago. Hair growing out in the outro.

@jetison333

6 жыл бұрын

Jason Bailey I imagine they recorded a ton of these and he's releasing these slowly

@jiggely_spears

6 жыл бұрын

Like his head releases hair?

@nadiak4167

4 жыл бұрын

Yet, the same shirt :)

This phenomenon is used practically in a lot of music for string instruments (guitars, violins, etc)! If you lightly hold a string down, you can double the frequency it vibrates at, causing it to ring an octave higher :) There are all sorts of variations on using this (touch harmonics, pinch harmonics, natural harmonics) and they're all very valuable to musicians :)

@StarryNightGazing

6 жыл бұрын

BunniBuu the touch harmonic happens because you force the second mode of vibration of the string by creating an artificial node, not sure it has anything to do with this 😬

@BunniBuu

6 жыл бұрын

Stargazer I'm no expert, but I thought touch harmonics produced two octaves since they first reduced the length of the string (as you mention with the node), but also create a harmonic the same way a natural harmonic would. I don't personally play any string instruments beyond an elementary level, so my knowledge of the physics of them could very well be off!

@StarryNightGazing

6 жыл бұрын

BunniBuu you do not reduce the length of the string but it's the whole string that vibrates with half the wavelength 🙂

Preamble: I'm the Physics Demonstration Technician at a university. This is so cool! I had to stop the video and grab a tuning fork off the shelf about a third of the way in. I showed dozens of people around the physics department this effect and every one of them thought is was a very cool effect.

I am a musician and I never thought about that, i really enjoyed the video, more about tuning forks and music/Maths related videos please!!!

As a musician I have to voice this fact like others: It IS the same note. You said it yourselves, it's just an octave higher so it's still use the same note name What it is though is a different PITCH which is what directly correlates with the frequency of the vibration. I understand where you're coming from though and it's quite interesting.

@MyFilippo94

6 жыл бұрын

As a musician I'd like to point out though that composing something out of unison (unisons? Sorry, english is not my first language) is different from using octaves, as a matter of fact. Though classic harmony has a set of rules that limit the same way both consecutive octaves and unison.

@OliFreke

6 жыл бұрын

Lovely bit of pointless pedantry there! I think these experienced mathematicians know that, and given there's a piano in the background....

The Hz was reading as low by ~1 because you were in a room that was slightly hotter than the standardization temperature, causing thermal expansion of the metal tuning forks, lengthening them and thus lowering the frequency.

Never before have I seen such beautiful, hand-drawn sin/cos waves. Well, done Mat, at least you can draw that (cough - parker circle - cough)

@Erik-yk9zf

6 жыл бұрын

I wonder if his hair grows in and out like a sine wave

@wynautvideos4263

6 жыл бұрын

Lol

@pierrestober3423

6 жыл бұрын

I can draw a sum of perfect sin functions

The base of your Tuning Fork "Round- vs Square-base" does different Resonance while touching the Table. The peak at the Second Frequencies on the square base caused by the Shape of the base. You see similar effects watching Resonance experiments with Different Material/Particles and different Resonance plates (Round vs Square). It's all about Creating an interference pattern in a mechanical resonance with a different Material shape. The force and the response of the Square structure form are in phase with one another, creating different resonance patterns by the form, and the energy in the vibration increases.

I use a set of tuning forks to tune pianos, and from the start I noticed these same properties you discussed here. But I could never wrap my brain around the maths. Awesome explanation, gentlemen! Cheers! -Phill, Las Vegas

5:37 that was a Parker wave of a graph

Overtones! Elements of this idea actually show up in Adam Neely's "SUBHARMONIC Music" video, so that may make for an interesting piece of further reading.

Parker-green at 2:35

@silkwesir1444

6 жыл бұрын

Parker Color Coding

The tension on the rope of a swing while swinging made brilliant sense!! thanks! Long time fan of the channel

This is great stuff. I knew there was an issue with tuning forks and double/half frequencies, but only now I understand what it exactly is! Thank you so much. By the way I have two tuning forks, one labeled 440 Hz and an older one labeled 438 Hz. Fun to hear the beats when they go together!

3:42 Oh God, the little arrows disappear and reappear again, I will not be able to sleep tonight

What is the app used on his phone?

5:40 Yeah dude it's not going to annoy your musical friends because any decent musician already knows about the overtone series. It was a very nice demonstration of where the higher octave comes from. If you had a spectrometer that showed more than one frequency you would actually be able to see both the frequencies resonating at the same time although the higher octave would be significantly quieter. On most instruments it's common when one note is played for several different multiples of the fundamental to resonate as well. Those are called overtones and are exactly what you just demonstrated. The ear focuses on on the fundamental, but it hears the rest as well. It's what makes a piano playing one note sound different from a guitar or a French horn playing the same note.

I like this one .. learning something never perceived / noticed before .. ty for producing and posting!

Musicians typically won't be surprised you get multiple notes from one fork, as that is the principle of the harmonic series. A vibrating instrument causes notes an octave higher (double the frequency), an octave and a fifth (triple the frequency), two octaves (quadruple) etc. This is how a trumpet is able to play all the notes even though it only has 3 buttons.

Nicely done. I’m sure I would have puzzled over this a long time and I’m not sure I would have reached that answer. Thank you.

WHERES THE MATT AND HUGH PLAY WITH A THING AND THEN DO SOME MATHS INTRO?

@matthewbelfield6708

6 жыл бұрын

*then do some working out

@JBLewis

6 жыл бұрын

I was thinking that they really didn't do enough working out to merit the other intro.

This is one of the more elegant, simple, and supremely interesting math/physics facts I've ever seen

What an incredible simulation ! Great work Miako

5:45 "How can the one tuning fork be vibrating at 2 different notes at the same time?" The same way you are able to speak in a voice that's not a singular sine wave. I mean look at the harmonics on the app. It's already vibrating at lots of prominent frequencies. Good stuff, as always :)

What is happening is that you are creating longitudinal waves down the mast as the forks are vibrating in and out, the mast is moving up and down, when you press the butt of the mast against a flat surface it is essentially trading a sustained ring for a shorter amplified ring by transferring the longitudinal waves into the flat surface of the table, like a speaker driver

this can be done with ordinary forks as long as the style of the fork accidentally has a nice tone. It's a cute trick. Pluck a couple of the fork tines to get clear tone holding the fork just off the table. Hold fingers in a pinch near the fork then put your fingers into a glass while setting the end of the fork on the table just as your fingers go into the glass etc. Balancing the fork on a finger and allowing the fork end to barely touch the table will produce a buzz too.

I'm not sure if you could annoy the musician friends by saying there's two notes, in musical terms it's the same note in two different octaves, and the original note already contains the harmonic overtone frequency, but the original frequency overpowers it. The demonstration actually shows it pretty nicely where you can see the original frequency and the octave as the strong peaks but different levels when you touch. Also a fun thing to do is touching the ball end of the fork to your skull. Internal loudspeakers.

The waveform at the handle wouldn't actually be a sinusoid. It would be more like |sin(wt)|. The motion of the handle is akin to the signal coming from a full-wave rectifier, which is why its fundamental frequency is twice that of the tines, but spectrally it's actually quite different.

‘I never knew you were so good at playing the table”. Please never stop being funny.

Brilliant is the new Audible. Its everywhere!!

@LetsDark

6 жыл бұрын

Brilliant!

@macronencer

6 жыл бұрын

So Audible is now inaudible...

Fab, reminds me of something I discovered years ago and baffled a few people with: Why, if your domestic electricity supply is 50Hz (UK), do your lights flicker at 100Hz? Good luck 😉

an analogous effect was observed when electro boom and the slow mo guys filmed a tesla cool at a million frames per second- the arcs were strobing at twice the resonant frequency of the tesla coil because both the positive and negative peaks correspond to luminosity peaks in the plasma

That's super cool! I've always wondered why there was an octave difference

Forgive me if this is basic and mentioned elsewhere but rotate an oscillating tuning fork around its vertical axis and hear the nodes and antinodes of waves in and out of phase. Great things tuning forks and they have many interesting properties and uses that are not all musical.

I thought the conclusion would be that as the first tunning fork has a square shape, the vibrations don't flow on a spiral down the fork, making the tone go up an octave when the opposite vibrations combine at the base. With the second fork, the vibrations get to the higher octave at first, but then find their way up and down the fork on the same direction and flowing all in one, keeping the intended frecuency. Just as cilinders can take up more weight than a cube, as the force flows and gets a better distribution. Maybe compare two rounded forks with different bases, to see if that's what's making the vibrations flow steadly?

There's some really cool stuff you do with the harmonic series using Fourier transforms and spectrograms which you can do with the human voice. Bit harder to do with other instruments because of the way they're tuned- that's really interesting as well.

Hard boundary for internal wave reflection as opposed to soft boundary emphasizes the harmonic. The guitar harmonic selection comment is misleading. Finger positions on a guitar select the primary resonance length and tension, and likewise shift all resonances accordingly as opposed to selecting them.

That last demonstration is a cool example of when the subharmonic series actually does appear naturally! You're getting integer divisions of your fundamental instead of multiples.

If you haven't read it yet, "Fundamentals of Musical Acoustics" by Arthur H. Benade was a mindblower for me. Also, how incredible is it that we have excellent oscilloscopes available as free apps on our phones?!? when i was in college, a used device that could come close to this would cost me a couple thousand dollars.

I expected a little aside about how air conduction is stronger than bone conduction for humans... so that if you hold the butt of the tuning fork to the bone just behind the ear and wait for the sound to die off, then take it off and listen to the fork "normally", you should be able to hear the note again... though I wonder if the notes also differ by an octave!

Guys, if you ask a musician they will tell you that it is the same note because it IS the same note. What you're doing is the same as if you fretted a stringed instrument at the half way point. You would get the same note different octave. Now can you isolate the overtone series based on the surface you use to amplify the tuning fork?

The musical friends who say both notes are the same are still correct, because it is exactly an octave jump, which in music is the same named note, example A4 (440hz) to A5 (880hz) is still called A, even though they are in actave apart

Thats a logical explanation. I never noticed that. Went back to check it with my tuning fork and surprisingly it doesn't work. The top part of the fork and the "handle" at the bottom vibrate at exactly the same frequency. (even though I'm a musician, I know how to distinguish between different octaves). Now I'm confused. Can anyone explain this? (I have a smaller tuning fork, similar to the one Hugh showed in the beginning, tuned to 440 Hz, also the "branches" of the fork are more cylinder shaped, not rectangular like in this demonstration.)

@boyiscola

6 жыл бұрын

Same here, using a small fork with rectangular branches and cylindrical base. 440 Hz from fork and resonance surface.

@fozzillo

6 жыл бұрын

Same to me with the classic 440Hz small "cylindrical" fork, same octave to the ear and to the app.

@salvadorbruschy5979

6 жыл бұрын

I tried it too. I never knew the effect happened because my fork produces the same frequency. I double checked it with a tuner, and it is in the same octave, A4. Perhaps what we hear in our ear is the second harmonic and the fork is designed to supress the first.

Very impressive. A new bit of information.

How about a standing wave in the tuning forks stem? The stem oscillates up and down and should be tuned in length. I'm thinking standing wave ratio, like an RF antenna. Also, holding the fork introduces a node pretty much at the center (half way) of an already vibrating element. I don't have a tuning fork, but I wouldn't be surprised if by changing the way the fork is held, different results occur. This would inevitably change the ratio between the fundamental and the first harmonic. Maybe holding the fork higher or lower on the stem and/or rotating the stem 90° might yield interesting results.

You should do a follow up with weighted tuning forks!!

Regarding the thee-sided coin problem, I will be fascinated to learn that once the optimal ratio is discovered, how it makes sense mathematically (since it appears it will fit neither of the proposed hypotheses).

Nice one!

I was not able to reproduce part 1 of this vid: the double frequency when put on the table vertically. The explanation seems logical, but the main frequency stayed the same (i.e. did not double). In the demo, I don't see a real frequency peak in the analyser graph. A pitty because it would have been amazing effect.

Hmm, my tuning fork doesn't have that effect it seems. Is that possible? It has an small scoop on the bottom of it, maybe that's compensating the octave change?

2 old men hit forks against their hands and then apply them to the table to listen to the sounds.

I have a tuning fork that is cylindrical, so it oscillates rotationally, meaning when I put it against a resonant surface the same frequency is produced, not double!

As a musician, I'm actually not that surprised that a tuning fork can play different frequencies in different situations. I would have been surprised however, if it wasn't a note which differs by and octave, a fifth or a fourth. Sound waves tend to act strangely, and usually when you hear a note, you're actually hearing many frequencies at once, the higher being a multiple (or near a multiple) of the lowest (that's called the harmonic series). The first intervals in the harmonic series are an octave, then a fifth, then a fourth (an octave above the first one) which is why I expected these changes.

For the fear of being too nerdy about it, but I think I might be in the right place for this, that is the same note. If you go an integer number of octaves from a note, you get the same note, albeit in a different octave.

@silkwesir1444

6 жыл бұрын

i seem to recall i've heard a word you can stick in front of the word "note" which would make the claim correct. (the same way it would make it correct to switch out the word "note" for "pitch"). can you tell me what that is? intuitively i would go for "exact note", but i may be completely wrong. maybe there isn't even such an expression at all and i'm just misremembering something, or someone told me inaccurate information...

Arthur Weasley finally made it big in the muggle world. So proud of him, way to go man.

As a munition I feel the need to say that a musician saying it's the same note WOULD be right, because it's the same note an octave higher. Which in music is often considered the same thing. Still cool and science-y but to a musician it is the same note.

To all you musicians out there, this is really only half the story. The frequency doubling is on top of the original frequency of the tuning fork. So instead what you hear is a change in timbre and not pitch, as the new frequency is in the harmonic series. Rest easy.

I recall you using that app for the fidget spinner video, could you tell us what it's called?

I think I have the solution, and I think you’re wrong. The higher pitch sound occurs when the teeth of the tuning fork are perfectly parallel, the more they are bent (inwards or outwards), the less you hear the high pitch tone. Once the amplitude of the vibration is smaller than the bending-angle, you don’t have the high pitch tone at all. For better understanding, picture a tuning fork that is bent open 180 degrees.

as a pseudo-musician it doesn't surprise me to get different octaves out of one string. not just by pressing them on the frets, but by inducing a standing wave in the string, so effectively it only swings on half its length. or a third... whatever fret you lightly press on it before letting go...

Thank you so freaking much for using Centripetal instead of Centrifugal. You can only bet on an engineer/physicist to know the difference

@demonking86420

6 жыл бұрын

Morningwood Gaming isn't the latter not a real force

@MW-GC

6 жыл бұрын

MichaelKingsfordGray that is not correct. Centripetal force refers to the force pulling the object to a center point. A rope does not provide a pseudo force, and is the Centripetal force in that cenario

@MW-GC

6 жыл бұрын

Apexfelony yeah Centrifugal is just a product of inertia. It's the extra g's you feel in a spinning wheel

@HollywoodF1

6 жыл бұрын

Conceptually, centrifugal force is the rotational analogue of normal force. Just as gravitational acceleration can cause a normal force reaction, so can centripetal acceleration cause a centrifugal force reaction. If your problem accepts the limitations of these definitions, your results will be correct. Like many forces, its use a matter of convenience in calculating. Physists can also prove that gravity isn't a force or an acceleration, but is rather a curvature of spacetime. But for convenience, with the proper understanding of limitations of the model, gravitational force will yield correct results.

That is pretty darn fantastic ... The whole relation octave / double the frequency blew my tiny mind ! Cheers!

Congrats on committing to the aerodynamic look! I'll be there soon, myself. But still kidding myself that it's not quite thin enough yet...

it looked to be a lot more than 2 frequencies...when you used the spectrum analyser, you could see fundamental, 2nd order, and some of the higher order harmonics as well

Fascinating! Can you also explain why the ring when you hit the tuning fork is higher than the resonant frequency? For example, my 440Hz fork rings at what seems to be 6x higher (2640Hz, or two octaves and a fifth higher).

Take a violin string and just touch it at half was bewegen fixed points, you will get a perfect octave up. Same on violas and cellos. Musicians call this flacholet (at least in Germany)

It would be interesting to know what would happen, if you put the fork down on the table at different angles instead of always at 90°. Shouldn't both frequencies crossfade the more you lower the angle?

In my head I just imagine a little gnome hitting a drum every time the tuning pendulum is straight up and down. Im simple.

Matt's hair is resisting baldness...? It's come back. Well done Matt's hair, this is impressive.

A vibrating tuning fork is known to be a pure sine wave, but this strongly implies that a tuning fork _against a surface_ (which is how they're usually used in practice) is in fact _not_ a pure sine wave.

Funnily, my tuning fork doesn't do this... Neither do I hear different pitches (and my hearing is very good), nor does the app on my phone, it is both 440 Hz...

@judtihheek

5 жыл бұрын

which app?

That was amazing! Thanks!

What’s your thoughts of tuning fork on a pole on the schist disc that holds Energy in Egypt their is many tuning forks on poles all different sizes also their is two tuning forks next two each other with string from one to another and every statue has a staff with a tuning fork on the end any thoughts and all hieroglyphics show them as well

It's twice as fast because the table is receiving the vibrations of both prongs in that position whereas in the air the whole thing has the same.

Lmao simulation with option to turn hair on and off, that's the best

It's funny because at least in my speakers the mics are picking up more of the overtones, it's hard to hear the actual fundamental of the tuning fork unless it's placed on the table.

maybe its just the two fork tines canceling in the air air but when you put it on the table they combine through the base and double the frequency?

I love this!

I initially thought it was going to be something to do with the harmonic series, as the surface of the table isn't moving in a perfect sine wave like the fork

Aren't you just finding the upper partial? Aka a harmonic? double the frequency would be the first upper harmonic in the harmonic sequence from the fundamental pitch. A pitch from any acoustic instrument is made up of multiple pitches. Its not a sine wave.

My brother would like this, not because he likes math, but because he likes music... although, now that I think about it, one of his roommates likes math... (On a different 'note,' I have found that many two-pronged forks, like meat forks or toaster tongs, will act in the same way as a tuning fork, making a tiny tone when struck... just thought some people might find that interesting. [Watch now a bunch of people will be striking their forks to see if they vibrate. Please be careful with the meat forks!])

Matt’s hair is BACK!

how does that simulation work? I mean, if "we" are trying to determine proper ratio for some distribution, what goes into program for expected results?

_Matt & Hugh Play With a Thing, and Then Do Some Working Out_

Very interesting! I always wanted to buy tuning forks but didn't know how to use them. Where can I buy them and what's the name of that app?

3:18 "It can be both" Hahaha

A note is the same as the note an octave above tho. It's like the group of integers under addition mod12

When the note was being displayed there where two side bands next to the main note. Why are ther there?

So I understand the frequency and centripetal force bit, but why then can't we hear it moving up and down before we put it on the table? Like how does putting it on a surface cause double the frequency to dominate the original frequency?

@christianaustin782

6 жыл бұрын

Jonathan Love ok that was actually really cool, thanks for sharing! And thanks to wikipedia for filling in the resonance details lol

What’s the best iPhone app for trying this out? I’ve got a few but none of them show the dominant frequency in large text as in the video and I like that feature :)

Could the property of a tuning fork have anything to do with the effect of the double slit experiment?

Is there a difference between puttin the fork on a table and have it fixed to resonance box?

I am a musician and I can tell when a note is an octave higher. I think the musicians he has asked are referring to the pitch class of the note, not the sounding octave...

@snowjix

2 жыл бұрын

I feel like Hunt is mixing up notes and frequencies a little bit.

I dont mean to sound like a dick or a genius or anything but it just made sense it would be double. 2 into 1 with the same output. It made me think back to Learning about waves with those really long springs they had in physics in high school and gave me an idea... Suppose you were to attach two springs to one and had one friend on the end of the one, holding it still. Then you and another friend, or just you if you could do it easily, grab the two ends of the double end. Hold them far enough apart so they wont physically interfere with each other and set them in wave motion, trying to maintain synchronicity. The amplitude in the one spring should be roughly double the height of the amplitude of the two springs. Would that work? Then you could actually see the effect on a much larger scale.

Adam Neely - The undertone series!

is that a big bubblegum tower on the background ? :D