The most mind-blowing concept in music (Harmonic Series)

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ANDREW HUANG

ANDREW HUANG

2 yıl önce

The literal foundation of almost all music! FYI a good one to watch all the way through / not skip around because everything builds on what came before. Leave a comment if you have any questions - also some resources linked further down here. :)
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Interactive diagram
alexanderchen.github.io/harmo...

"What is a Fourier Series?" by SmarterEveryDay
www.youtube.com/watch?v=ds0cm...

Most of my other diagrams are straight from the harmonic series Wikipedia page - also a good spot to brush up on these concepts but definitely very technical!
en.wikipedia.org/wiki/Harmoni... )

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YORUMLAR: 5 328
Giulio Zanetti
Giulio Zanetti 2 yıl önce
Other MIND-BLOWING facts: - The reason sometimes sounds start clipping after you EQ them subtracting harmonics (which seems absurd), is that the harmonics you removed were interacting with the others and they were actually lowering the peaks of the waveform! - Two waveforms may have the exact same harmonics with the the exact same intensity yet sound completely different, because the harmonics are phased differently (the sine waves do not "align" the same way), so with a bunch of harmonics you'll still be able to obtain infinite sounds! EDIT: I substituted the term "interfering", which was technically incorrect, with "interacting". EDIT 2: Editing the comment made me lose the Heart from Andrew 😭😭 what we do for science
GIVdB
GIVdB 11 gün önce
@Scoobert McRuppert have you never heard about psychoacoustics? What makes your comment so silly🤔
Scoobert McRuppert
Scoobert McRuppert 16 gün önce
@GIVdB So much wrong here lol…we use both ears for hearing and both eyes for seeing it is for stereo sound and vision too…2 eyes give us depth perception and 2 ears gives us the ability to locate a sound in space.
Tsoysauce
Tsoysauce 2 aylar önce
superposition :D
Vachila 64
Vachila 64 2 aylar önce
What we do for science 🤣🤣🤣
Lil Man, TD
Lil Man, TD 2 aylar önce
rip
Healing Vibrations
Healing Vibrations 5 aylar önce
This amazing! I've been studying music theory and you explain everything so clearly 🙌❤
ChannelMath
ChannelMath 9 aylar önce
I already "knew" all this as a scientist. But now, as a beginner musician, you made the relationship to chords, notes, and instruments so clear for me!
Harmit Chhabra
Harmit Chhabra 6 aylar önce
@The Hated Guy same mai bhi jee21 ka hu
The Hated Guy
The Hated Guy 8 aylar önce
@Harmit Chhabra and me as a JEE student is visualising these things. and its mindblowing.
Harmit Chhabra
Harmit Chhabra 9 aylar önce
Omg same! (not a scientist but a physics student)
Faedra Emberhart
Faedra Emberhart Yıl önce
I remember this high school teacher who taught math and guitar class would always say that theirs two universal languages: math and music. Mr Nolan was such a chill hippie teacher ^_^ He would even bring his own drums in for a drum circle club once a week. It was him who made me realize how much math is related to music in a non negative way
Reitairue
Reitairue 24 gün önce
@Daniel 🤯
Daniel
Daniel Aylar önce
In a way math and music are the same language
Patrick Emery
Patrick Emery 11 aylar önce
This is just a fantastic explanation of one of the most complex concepts in music, and it’s made complex because we aren’t taught this from the start, we are pre conditioned to accept the “rules” of music and intervallic relationships. Thank you so much dude, this vid is very helpful to people, I’ll be sharing with my students
Brian Messemer
Brian Messemer Yıl önce
Andrew, I've been teaching music theory for years and have taught the harmonic series to some of my high school classes. Usually unsatisfactorily. Ive never seen it presented well in a reasonable timeframe. I used to use Leonard Bernstein's 1973 Harvard Lectures series clip of him demonstrating it on a piano. Charming if you love LB but terribly, grossly out of date for students today. This is the BEST video resource on the harmonic series I've ever come across BY FAR. Thank you so much.
Reitairue
Reitairue 24 gün önce
@smkh lol, I actually regularly sit and listen to hour + long pieces of music. Very relaxing.
Daniel Moore
Daniel Moore 2 aylar önce
@smkh Where are the full albums? They are STILL being made by my generation! Listen to D.A.M.N. by Kendrick Lamar. Listen to HEAVN by Jamila Woods. Listen to Aquemini by OutKast. Listen to The Gereg by The Hu (then listen again and read translations as you do!) Listen to Speed of Darkness and Life Is Good by Flogging Molly. Listen to Mind Over Mirror and Light of the Dark by Molly Conrad. Listen to Racine Carrée by Stromae. And now I must stop typing because I just found out that he put out a new album. GOOD DAY SIR!
Jay-r
Jay-r 4 aylar önce
I don’t have
LUCIANA
LUCIANA 8 aylar önce
I agree. I use it in my mini course about sound and this is a perfect video to help students understand !!! I love it so much
smkh
smkh 8 aylar önce
@P W Maybe Jacob Collier is the LB of the time, he loves to explain music entertainingly.
michael konomos
michael konomos Yıl önce
This is amazing. And what really blows my mind is when you start thinking about wave patterns in nature and the physical universe. Gravitational waves, electron waves, color spectrum, movements in the ocean, heart and brain waves. So much is oscillations and waves. I don’t mean any of this in some new age stoner way, just that what you are tapping into feels significant.
Bob Leiweke
Bob Leiweke 2 aylar önce
@Veronica Gorosito Go to Santa Fe, New Mexico. I met a woman from the Pleides star system. She told me all about chakra energies at a party. And numerology. It was a great sociological observation until it got boring.
John John
John John 2 aylar önce
I instantly thought about a 3D sound wave oscillating in a medium.
Spiritman Productions
Spiritman Productions 3 aylar önce
It's funny because "I don’t mean any of this in some new age stoner way" sounds exactly like a harmless version of "I'm not racist, but..." 😉
Jamie
Jamie 5 aylar önce
Have a Google of electron orbitals. It's like this in 3(+)D
Veronica Gorosito
Veronica Gorosito 8 aylar önce
Same happened to me when talking about this. People generally get into ''new age'' chatting without getting into the real talk, and start to lead the conversation into ''energies''..and you try to redirect saying ''no no, not energies like spiritual and good & evil, but real energy, the one that happens every moment in daily life'', and they look at you as if you were high or psycho or just trying to look smart 🙄
John Ferguson
John Ferguson Yıl önce
Harmonics, the stuff of sound. I remember when I first started to learn about harmonics, it was mind blowing. As an organist, I feel that it's necessary to understand harmonics up to at least the 8th because it will determine what sounds you use and certain sounds to avoid and why certain sounds blend together while others do not. At 76, and having had a life in music, teaching, playing etc, I'm still blown away at how the physics of sound is so important in getting the sound that you want. Thanks Andrew for explaining this subject so well and so clearly.
Oscar O.
Oscar O. Yıl önce
Well explained, though the animation of the waves in a bass guitar is misleading - it's a standing wave (2:00) so it doesn't travel longitudinally, only vibrates transversally in time (aka perpendicularly to the string)
B C-K
B C-K Yıl önce
I def had this touched on in music school but your explanation “resonated” with me!!! Thank you!!
Rob Scallon
Rob Scallon 2 yıl önce
7:45 I HAVE NEVER CONSIDERED THAT. That makes SO MUCH SENSE
Konstantin Vorotnyuk
Konstantin Vorotnyuk Yıl önce
My mind is blown . I’m bored harmonically
Aniquin Stark
Aniquin Stark Yıl önce
That would explain why strings become difficult to intonate properly over time
Hectatus Breakfastus
Hectatus Breakfastus Yıl önce
Lol I clicked the time stamp and got an ad. I feel robbed of knowledge 💔
Andrew Browning
Andrew Browning Yıl önce
One level further. Strings do not behave like theoretical lines, because they have thickness. Instead, the harmonic content is slightly out of tune, and the note you hear is some compromise between all the harmonics. Effectively, a string will always be out of tune with *itself*, to say nothing about the other strings. That's why tuning by ear is important, and why it's impossible to build an electronic piano tuner. Even if the string is tuned perfectly and doesn't lose any tension at all, it will still go out of tune a little as the harmonic content changes. EDIT: this is a different problem from the intonation issue discussed in the video - it's another layer of Not In Tune. On the one hand, it's complicated, but on the other hand it means you can tune however your ear tells you to tune if it sounds good.
Jordan Van den Brink
Jordan Van den Brink Yıl önce
​@duffman18 although I largely agree with you, it's incorrect to therefore dissmiss what Andrew says as false. I think him using the word 'worse' is the misleading part here. What sounds 'good' is of course very contextual as well as subjective. But he is absolutely correct in saying that older strings are worse at creating the harmonic overtones that define the specific character of the guitar in it's, let's say, 'perfect form'. By perfect I mean the instrument in it's untouched state, new strings and straight out the factory. The fact that these newer strings sound so tinny and unpleasant to many ears is precisely because of the fact that these newer strings can create audible harmonic overtones higher up in the spectrum. That's why older strings sound, as you say, warmer and sweeter. And because so many people prefer this warmer sound on a guitar, that's the sound you'll be hearing when people play the guitar, and that's why we now consider this to be what a guitar is supposed to sound like. Also because the intended use of a guitar has never been to replace its strings before each use, off course. so any guitar you'll hear anywhere will sound pretty 'broken in' as you said. There's a sweet spot to it, as you'd also have to agree with me that there is a point of expiration on strings: if you truly leave them on for a very long time and they don't break before this point, they will end up sounding flat and dull as this range of harmonics slowly decreases, and the sound loses depth.
John FitzGerald
John FitzGerald 6 aylar önce
Honestly, I wish that I had learned this while in music school! For a long time, I’ve understood the basic concepts of what this video goes over; But how the concepts are integrated into the philosophy and science behind all aspects of music really are mind blowing! If only this video was available, at the time. It’s always the right time to learn and apply something new! Thanks, so much, Andrew. You are a true inspiration, sir!
U R Phake And Gey
U R Phake And Gey Yıl önce
I had this slow realisation after doing music production as a hobby for many years. You basically just confirmed what I discovered in theory and it truly is mind blowing.
Mike Winter
Mike Winter 6 aylar önce
I worked with this during my Computer Science degree, making instruments with additive synthesis and envelope shaping. Music and the physiology and psychology of hearing is such fascinating stuff!
Pastorius23
Pastorius23 Yıl önce
This was awesome. Thank you. I would like to see a video on how the scales in Middle Eastern (with all the semitones) relate to the Harmonic Series.
Faith Spencer
Faith Spencer Yıl önce
Me as a child: "I'll never need math, I'm gonna be a musician." Math: "Get back here, you little sh*t"
SternLX
SternLX 3 aylar önce
@Bird •100yearsago cool. So do I. Well Drums and Bass guitar
Bird •100yearsago
Bird •100yearsago 3 aylar önce
@SternLX my teacher plays the drum so.....
Bird •100yearsago
Bird •100yearsago 3 aylar önce
@EinProzent more of logic
EinProzent
EinProzent 11 aylar önce
@Corrupted I mean if you want to seperate such a complex subject like maths in "highschool" and "physics" maths go ahead but that still doesn't undermine the fact that physics can only be applied to the real world by the application of mathematics
SternLX
SternLX Yıl önce
@Marek Fun fact: I've never met a Physicist that didn't play some kind of stringed instrument.
Todd Buttenham
Todd Buttenham Yıl önce
Mind officially blown. You’ve done an amazing job breaking this down Andrew. Thank you.
continuo1685
continuo1685 Yıl önce
I have two Master’s degrees in Music from Canada and Germany and I tuned harpsichords for years _--- my mind got blown in this video. Thank you!
ParuthidotExE
ParuthidotExE 9 aylar önce
Awesome bro.. great explanation.. thanks for making this informative video
Randall
Randall 5 aylar önce
The most useful piece of information in this video for me was the statement "Overtones don't produce overtones" or something to that effect. In my hierarchically structured mind, that statement provides a logical reason as to why theory makes sense. Without it, music theory just looks like an arbitrarily imposed, man-made, structure on sound, rather that something which was designed to work. Thanks for that.
Tom Milley Music
Tom Milley Music 2 yıl önce
You'll often still hear overtones with a sine wave actually, because you're hearing them through speakers which have their own ways of vibrating and their own resonant peaks and you're also hearing the room. I think it's more in theory that they don't have overtones, because in the real world I'm not sure how you'd listen to it without engaging overtones from something, even if just from your own ear canal.
I need no channel youtube!
I need no channel youtube! Yıl önce
@herranton1979 You absolutely could, were it possible to do a fourier analasys of the vibration of the detector cells in the conch organ. This is obviously not possible yet.
herranton1979
herranton1979 Yıl önce
@Fri mitz Couldn't you purposefully use destructive interference?
Pete Fredrickson
Pete Fredrickson Yıl önce
So this means everyone hears things a bit differently, since everyone's ears are a bit different. Just like how everyone sees colors differently.
Multorum Unum
Multorum Unum Yıl önce
Now I'm curious how a perfect sine would sound like
Stuart Morrow
Stuart Morrow Yıl önce
@Fri mitz I've seen a teacher whistle into a microphone hooked to an oscilloscope. You can produce sounds with no overtones using just your mouth.
Val
Val Yıl önce
The Moog synthesizer was created way back in the 1960's using sine waves and other sound waves to create the various tones.
HVRRVR
HVRRVR 3 aylar önce
I don't know if you know this or not (you very well might) but what's interesting is that pretty much every synth today, even software synths, use the the same basic ideas! Hell, FM synthesis is a staple of bass music and EDM (as well as everything Sophie herself did) but the first advanced FM synth was made in the 80s. It's funny how most synthesizers' basic functionality hasn't change that much but we've found new and creative ways to use it! Makes you wonder if you want back in time to the 80s and made a dubstep growl on an old FM synth how people would react. Would they freak out?
John FitzGerald
John FitzGerald 5 aylar önce
Absolutely bringing all of my music theory knowledge and real life experiences into clear focus. Such a massive inspiration, my friend. Thanks, Andrew! :)
Brandoneius
Brandoneius Yıl önce
Dude this explanation of why guitar strings sound worse over time is mind blowing
Max Stephenson
Max Stephenson 20 gün önce
Just started reading up on music synthesis with the book “creating sounds from scratch.” This is a really nice supplement to chapter two when they go into harmonics, overtones, etc. Thanks for making the time to put this video together.
Remi Buckler
Remi Buckler Yıl önce
I've had this explained several times but your pacing and visuals are extremely helpful
Daryl LaRocque
Daryl LaRocque Yıl önce
This is amazing. I love the sound of the C sine wave with it's first few overtones 🤤
Apfel Kuchen
Apfel Kuchen 7 aylar önce
That's why a lot of music uses the major chord ;)
Aarush Aggarwal
Aarush Aggarwal 3 aylar önce
🤯 Definitely something phenomenal !! Combing staff, phonics, piano, and frequency, and waves ❤️. This really opens up a new world for me . Thank you Andrew
Dan Preston
Dan Preston Yıl önce
As was said in SOS's amazing synth secrets series, filtering a sound does more that just removing the upper overtones. 'Filters not only change a waveform by attenuation, but distort it by individually phase-shifting the harmonics within it.' This is why filters add character to sounds. That blew my mind when I learned it.
Sasha Fury
Sasha Fury Yıl önce
WOW. Thank you for this! You explained this so well. I had no idea.
Qexilber
Qexilber Yıl önce
I knew all/most of this theoretically but seeing and hearing it as you explain it definitely DID blow my mind.
Damon Amyx
Damon Amyx 4 aylar önce
the part with the cymbal is perfection. (yeah, when I first got serious about sound design and delved deep into the theory and the physics of sound, I think there were several weeks where I was just constantly flabbergasted by the universality and elegance of the harmonic series.) great video man
Mike, TheAnimated
Mike, TheAnimated 4 aylar önce
I feel like I've learned this through proxy, and I was shocked at what I've discovered. Hearing this put together is indeed mind blowing 🤯
Joshua Backes
Joshua Backes Yıl önce
This an awesome video and I'll be sharing it with my freshman students! Many of whom are asynchronous these days. :( SO, this video is super helpful. I totally dig your music in the Microcosmos videos too! Keep up the excellent work!
Krecikdwamiljony
Krecikdwamiljony 2 yıl önce
Part 2: Amount of overtones is important, but how their loudness changes over time and how the pitch wobbles is the other half of a timbre
HORNGEN4
HORNGEN4 2 yıl önce
Exactly why simply re-pitching even the nicest real-world instrument in a sampler sounds synthetic
Krecikdwamiljony
Krecikdwamiljony 2 yıl önce
@Christian Taylor ...I'm going to hunt for walruses now
Christian Taylor
Christian Taylor 2 yıl önce
With FM you get a really wobbli boi to the point a sine wave can sound like a walrus
Nathaniel Snyder
Nathaniel Snyder 7 aylar önce
Great topic! For anyone interested in the second half of this video, the book "The Seventh Dragon: The Riddle of Equal Temperament" is a good follow up. It was written by a professional piano tuner but I think it is interesting to anyone interested in playing IN TUNE. And it is just a fun read.
Castile Castile
Castile Castile 5 aylar önce
Wow! This takes me back to my undergraduate courses in Electrical Engineering (many moons ago) dealing with Fourier Transforms in Signal Processing. It's been always fascinating to me that music, a fundamentally artistic endeavor, is totally based on mathematical concepts. You do a great job at explaining this!
SoundChaser
SoundChaser 11 aylar önce
Mind blown! That was great info. I always assumed the harmonics were all the same note as the fundamental, just multiple octaves higher. But some of them are different notes, like the 2d overtone (3rd harmonic, if I got that right), as Andrew described, leading to a much more complicated and richer musical universe. Thanks for posting!
Adrian MACEY
Adrian MACEY 6 aylar önce
What a brilliantly presented video! Thank you so much. Just starting on my path of digital sound design and came across this concept on course. Quick search on youtube, bought up this gem!
NoEsUnYoutuber
NoEsUnYoutuber 2 yıl önce
Fun fact: this is also why your voice sounds different to you than to everyone else. The sine waves making up your voice travel differently because when you hear your own voice, they're passing through both the air and the bones of your head to your ears. Low frequencies carry better through physical contact than the air. If you experiment a bit with EQ, you can make your voice on recording sound closer to how it sounds to you speaking.
Pete Fredrickson
Pete Fredrickson Yıl önce
@Manan S If anyone wants to feel special, just remember there is no other person or thing which sounds exactly like your own voice does.
TiqueO6
TiqueO6 2 yıl önce
And if you’re in the studio with headphones on flip the phase on the microphone and you’ll notice a huge difference depending on if it’s in or out of phase, often it’s out of phase because of wiring or the type of microphone and your voice might sound very thin until you flipped the phase! Same can go for other instruments that it can leak into the headphones like acoustic bass or blowing horns or woodwinds or such.
cat man
cat man 2 yıl önce
Id say this has less to do with overtones and more to do with how pitch travels through a solid object vs gas (air). Lower frequencies propagate much more easily through denser materials than higher frequencies, which means those bass frequencies have a direct path from your vocal chords, through your bones and muscles tissue, to your inner ear, while others will hear your voice attenuated by the air around them.
Manan S
Manan S 2 yıl önce
The voice of each individual is different and unique because of this reason. The shape and size of the vocal chords are different and so that produces different overtones along with the fundamental resulting in different complex sine waves produced for each individual. That sounds more complicated that it should. Hope it makes sense lol.
Manan S
Manan S 2 yıl önce
Hmm so now I know the reason why when I sing, my own voice sounds good to me but when others hear it they find it either ok or below average. And also why it sounds shit when I recorded it on my phone😂. How did you get over this problem and improve your singing? I think this is a common thing addressed in singing lessons.
Lee Sperry
Lee Sperry Yıl önce
Nice video, thanks! You should try singing barbershop harmony - the best groups strive to use just intonation to make each chord tuned as well as possible to maximize the harmonic series. It's also a LOT of fun!
Kevin Bachelder
Kevin Bachelder 11 aylar önce
Brilliant breakdown! I could try to explain this for another 20 years of teaching and never come close! Well done!
Das Utzt
Das Utzt 11 aylar önce
Stumbled upon it just now. Great video, I will show it to my students. In my own teaching of music theory, I try to explain music as an art happening in the realm of time, from song parts to bars to rhythmic divisions to notes and intervals to harmonics. I think Schoenberg wrote 100 years ago, that harmonics should be considered as part of harmony (duh).
Peter Elfman
Peter Elfman Yıl önce
As a low-grade, long-time music nerd, this was utterly fascinating and, yeah, a little mind blowing. Thank you for making this video!
Transformation for our highest good
Transformation for our highest good Yıl önce
Love ❤️ your work !
Ken Zuercher
Ken Zuercher Yıl önce
Great lesson, Andrew! It looks to me also that the major scale is a collection of the harmonics. The Bb, F# and very sharp Ab had to be changed to make the chords built work. So it's possible that the major scale is indeed an "invention or the suits" (or robes as much of the music developed for church.)
David McCord
David McCord Yıl önce
I knew most of this, but you did such a great job of explaining it so clearly and concisely. I'm going to play this for my sons. If I were to add anything, it would be that without equal temperament, instruments would play absolutely perfectly, but only in one key. Try the alternative temperaments on a synthesizer. You can create a godawful mess.
TeacherManAlex
TeacherManAlex 2 aylar önce
This is fascinating and explains exactly what I was wondering -- why 12 semitones in am octave? Thank you so much!!
ToyKeeper
ToyKeeper 2 yıl önce
This is also how most image compression works, like jpeg. Instead of storing the actual pixel values, it reduces each block to a sum of sine (er, cosine) waves which add up to something very similar to the original signal. It's a very effective way to represent the types of shapes which tend to occur in nature. It has a hard time with square waves though, since those are the sum of an infinite series of sine waves. It takes a lot of space to store an infinite list of all the harmonics needed to build a square wave, and the point of jpeg is to make things small, not large. So it usually stores only the first few harmonics and the error becomes pretty noticeable whenever the picture has sharp edges.
ToyKeeper
ToyKeeper 10 aylar önce
@Micah Meneyerji When the quantum state of a particle changes, like moving from a higher quantum state to a lower or ground state, that difference causes the emission of a photon. The photon then travels across space at light speed, until it hits something and and causes other effects. It travels easily thrtough a vacuum, but not so well through solid matter. It also can sometimes behave in unusual ways, like appearing to exist in multiple places or travel along multiple paths simultaneously. This is a very different type of phenomenon as compared to sound, which travels well through solid matter but not through empty space. There is no "sound particle" like a photon but for sound... sound is just a cascading transference of kinetic energy through a medium, similar to ripples moving across a pond.
Micah Meneyerji
Micah Meneyerji 10 aylar önce
@ToyKeeper What do you mean by "pure energy"? Light has to have something vibrating for it to be there. I think you have to know more about quantum mecanics.
peekpen
peekpen 2 yıl önce
​@ToyKeeper My bad. I was speaking on "consciousness". :-)
Carlos Rendon
Carlos Rendon 2 yıl önce
Surprised you didn't mention this is how AUDIO compression works (this is how MP3s work)
ToyKeeper
ToyKeeper 2 yıl önce
Sound and light aren't part of the same spectrum. They're different types of waves. Sound is a compression wave of particles transferring kinetic energy by bumping into each other, like how ripples travel across a lake after throwing in a rock. The water itself isn't travelling outward; it's mostly just vibrating in place. The ripples don't exist without the lake. Light, however, is actually pure energy travelling from one place to another. It's not cascading vibrations of some other material... it's photons moving across space. Light exists as individual particles, while sound is a side effect of the movement of many many particles. Sound is a domino effect and only exists if there are dominos to move through, while light is more like throwing a ball.
Bruce Olsen
Bruce Olsen Yıl önce
I actually knew the science behind all of this but never understood the full depth of its application to music. Mind blown. Thanks!
Its Ekpyrotica
Its Ekpyrotica Yıl önce
Super valuable information love your videos 👌
SHOC MUSIC
SHOC MUSIC Yıl önce
I am really happy we've got you here on youtube man, you're the definiton of enternaining and informative!
David Kirolos
David Kirolos 4 aylar önce
You are a blessing, amazing work and perfect presentation. God bless 🙏 you
Benjamin Barley
Benjamin Barley 2 yıl önce
Literally just finished harmonics in physics 😂😂 this is really helpful for that actually, cheers!
Benjamin Barley
Benjamin Barley 2 yıl önce
@dylan English we just started quantum, I finished the photoelectric effect yesterday and my head still hurts😂
dylan English
dylan English 2 yıl önce
If you haven't studied quantum yet you're in for a fantastic surprise when you get to the harmonic oscillator. Wave theory is ubiquitous throughout all of physics!
Benjamin Barley
Benjamin Barley 2 yıl önce
@Ethan Young yeh😂😂, my physics teacher could never be as cool as Andrew😂😂
Ethan Young
Ethan Young 2 yıl önce
Same but Andrew does it cooler
Izo
Izo Aylar önce
Andrew is such a good teacher I've learnt so much from him
Lipbone Redding Official
Lipbone Redding Official 6 aylar önce
Thank you, Andrew. Your videos are always enlightening!
D. Potamus Jones
D. Potamus Jones Yıl önce
This blew my mind at 18 as well. Excellent summary and description of an awesome and mind blowing topic that everyone should know about!! Thanks Professor Andrew!!
David Jackson
David Jackson 5 aylar önce
Dope video, thanks for breaking it down in easy to understand terms. Keep it up!
donald mclovin
donald mclovin 2 yıl önce
Let us just appreciate Andrew for a minute
donald mclovin
donald mclovin 2 yıl önce
@ANDREW HUANG woah you replied 😱 But seriously your content is amazing
WangleLine
WangleLine 2 yıl önce
Yeah!!
Multorum Unum
Multorum Unum 2 yıl önce
💖
ANDREW HUANG
ANDREW HUANG 2 yıl önce
💖
Mathematical Poetry
Mathematical Poetry Yıl önce
I am so happy you mentioned that percussion doesn't follow the same harmonic rules as strings and wind instruments.
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