The Math Behind Music and Sound Synthesis

[@turpialito]

Mad skillset. Maths, music, coding, video editing, and a factual, no BS approach to the gist of the matter. Looking forward to your upcoming stuff. Cheers, mate.

[@pharezdamena8435]

Hey, maybe its a stupid question, but what is the coding part? Because I find coding interesting but didn't know it was in this video.

[@aschelocke5287]

@@pharezdamena8435 it is not in this Video

[@danieldale1488]

@@aschelocke5287 Unless he drew all those sine waves by hand, yes it is; it's just not very complex.

[@jasonzacharias2150]

He's here fouier information!!!! !!!! !!!! !!! !!! !!! !! !! ! //*Syntax error, time deaf 🥂*//

[@cadenbicsak1703]

I guess I've been accidentally striving to be this dude since I'm a math major with minors in music and comp sci

[@quantumgaming9180]

The way you animate and explain is incredible

[@Gonkee]

Thank you :)

[@krowus3833]

Epic pfp my guy

[@rangutanz]

Cool pfp

[@quantumgaming9180]

@@rangutanz you too, handsome

[@mq-r3apz291]

I couldnt tell weather this is a math or music channel. It's an enginneering channel. Impressive that I couln't tell

[@David-zy1lr]

Was this just an elaborate scheme to show us that sick beat? (I absolutely loved the video btw)

[@Gonkee]

That's exactly what it is haha

[@UncoveredTruths]

@@Gonkee my man's in live cooking it fresh

[@JohnPaulBuce]

tutorial just to flex lol

[@alexandrosweeb8059]

I want that song! It sounded soooo sick ^^

[@dominicellis1867]

@@Gonkee I love that triangle wave line but you changed the melody on the 2nd repeat and that didn't show in your shown wave pattern. Also what software did you use to make the beat?

[@XanderGouws]

You really thought you could sneak *the lick* past us at 7:27, huh ;)

[@samevans4834]

Adam Neely is seething

[@catapillie]

i noticed too!

[@ilikecats310]

wysi

[@ishikani]

wysi

[@nullifier_]

came directly to the comments because of that

[@samevans4834]

The Algorithm has found you, friend.

[@tjseries3057]

Yup he deserves it

[@JohnPaulBuce]

great

[@b42thomas]

praise be! may The Algorithm guide us to the Great Recommendation one day

[@thebeamerdreamer]

@@b42thomas Amen

[@jakeguercia7755]

Thank GOD

[@thefranciscoflores]

when he started building the song as he was explaining the waveform sounds i wanted to cry. that was so beautiful

[@jimmy21584]

This covers so much ground in such a small amount of time, really helped by such intuitive animations. I’m going to share this with all my musician mates.

[@ShaunakDe]

Your channel reminds me of the best parts of college. Learning different concepts in a relatively short span, and being endlessly fascinated with the core concepts. Thanks for taking the time to make these.

[@joaovictorsilva3092]

This channel have so much potential

[@linusemmerich3424]

Bro I did not expect you to be that deep in the musical rabbit hole. You even used memes like da lick (7:26)

[@donbonesmith9628]

that little beat at the end was a banger

[@shotgun3628]

Ive noticed many smaller channels popping up recently with massive potential. This has got to be the best, i love how chill the whole video is

[@BlessedCobra]

This is beautiful. I’ve always wondered how music is mathematically structured-especially electronic music-and this video offers a brief yet clear introduction of the core concepts. And the culmination of everything we learned at the end with all the waves coming together genuinely brought tears to my eyes. Thank you.

[@antipainK]

Wow, you explained it far better than anyone else! I needed this kind of scientific explanation of music, all other people talk about "rules" and that "you have to feel it, just redo it over and over and you'll get it". This filled the empty space in my soul 😍

[@azraf_youtube]

Why do you have a profile picture of kermit committing suicide?

[@melihbostan9159]

I also needed this explanation and I feel smarter for understanding this. I guess we are all geniuses with a right teacher :)

[@akelych]

I am speechless, this is just awesome. The most helpful vid on the topic I've ever watched

[@Testgeraeusch]

I started making electronic music around 2011 when my friend showed me a java programm that would make the speaker play a series or beeps. I started off writing music exclusively as rows and rows of ascii code that would then be read by some newer version of the software provided by that friend and generate a .wav file from that. The catch was: every instrument had to be defined as a math function of time. Coming from that perspective, i can tell you: Sound design is a lot harder than just adding some waves. I tried, and i failed a lot. I was so happy the first time i managed to make a decent FM bass that the sound cougth me completely off guard. XD Even worse, i was never really into games or chiptune stuff; i was just to lazy to install FL studio or something similar that would make me some "professional" tunes. I eventually switched to linux multi media studio around 2015, but came back to that raw saw&square sound last year. Now i'm trying to make the most out of it and see if this weird software where every sound is pure math-hell could be used for educational purposes. The new version featues a simple syntax for microtones and even has some basic filters. And we simplified the syntax a lot. I'm currently preparing a bunch of slides for a small presentation or vid about the math of the so called microtonal intervals and natural/non-12TET tuning systems. But my channel isn't exactly an educational channel, so it may as well be a waste of time or just something for myself to spend the time in lockdown. But if you are curious/interested in this stuff i could send you a .zip with the software and some demo files for easier demo sounds than the ones you used for this vid (like playing actuall 400Hz tones or really perfect fifths ;) ). Have a nice day and stay save :)

[@chiaramartin8426]

Sounds interesting!! Could u send the .zip to me?

[@VRchitecture]

Did you try live coding with SoundPi, SuperCollider or sth like that? I guess with such background you should do really well in tweaking stuff in realtime )

[@Testgeraeusch]

@@VRchitecture I'm seriously considering just abusing a pico for that; didn't find the time though. But i borrowed a friends touchscreen once for a live performance on an t+-integrated virtual microkeyboard where i could only press one key at a time, so it's getting there XD still no real time manipulation, but one could type in the instrument definitions as you play and the new notes use the new parameters. It was just inteded as a quick testing feature, but it is possible to perform with that... ^^

[@tobitdesmet]

Lol I would love to have that software! I'm really into microtonal stuff (due to Jacob Collier 😏) but all regular programs are too grid-based for that. I would love to be able to use something like this!

[@jwgmail]

what is the name of the java program?

[@neetishdhavgaye]

I am just a kid... learning math, science Now I can see how to corelate them easily. Glad you made this video !!!

[@aakashprasad114]

you are a freakin genius homie! keep up the good work! the beat at the end was amazing!

[@KlaudiusL]

@11:30 I want a 1 hour version of this Nice vid, new sub here 👏👏

[@yuvrajcharan5387]

Finally KZbin has something meaningful to recommend

[@prod.filipzz]

Sup, i know you probably wont see this comment, but I just want to say that this video is amazing. I was doing presentation for my math class about math in music and this video gave me enough knowledge. It is also made a way that I can understand it even tho I'm not a native speaker. Thank you very much for your work.

[@KazeReload]

I think it was the clearest explanation of the fourier series and sound design that I've ever seen. Amazing job.

[@bobbyundercover4905]

To be honest, I've never seen a video as good as this in 2022

[@kitwhale9067]

There are 12 tones/notes over 14 steps on the piano if you look at it from a mathematical stand point, the pattern repeats every 12 keys and from A to A key is a whole octave and every 13th key is A key and first key at the same time, what I am saying is it is exactly 1 octave from A key to next A key, the frequency number doubles, it doubles in frequency, now I'm glad we had this talk, I feel much closer to you... Consider this: A key frequency is any whole number because it's just logical for it to be a whole number if you could guess it to be any number, it would probably be a whole number so now we have one octave from A to A, step number 1 is A#, step number 2 is B, step number 3 would be B#, (it's the key that is missing, the step exists) step number 4 is C, step number 5 is C#, step number 6 is D, step number 7 is D#, step number 8 E, step number 9 would be E# but the key is missing, the step is still there step number 10 is F, step number 11 is F#, step number 12 is G, step number 13 is G#, step number 14 is next A so there are 12 keys over 14 steps in every octave, it's 14 because FREQUENCY is a LiNEAR VALUE, it's a curved line, a sine wave, a wave so if 7 whole notes exist there also 7 half steps and total number of half steps is in fact 14 not 12, exactly 14... B# and E# do exist in nature, in physical space B# and E# without a doubt exist and this makes music theory fundamentally flawed whether on purpose or not is another question, however one thing is clear, as day, musical western theory is a falsified way to TUNE THE PiANO, well simply because all the ratios to every key except to the same key in a different octave are all wrong... A Frequency + (A Frequency ÷ 14) × step number A0+(A0÷14)×14=A1 A1 will double the frequency is how you know it's proper Also the key between two A keys is D# it's the 7th key out of 13 keys so it's exactly the frequency in the middle of the given octave so you can figure it out in your mind and check it with the formula considering you know what the step number is(#7) This is the proper formula for every key, not divided by 12, only by 14 Also piano should logically start with A key on the most left because it's the reference key and the first audible frequency and it would make A key also the most right key, making it absurd to start and end the piano keyboard with anything, a A keys First audible frequency is an A key, or should be A key and it's probably 28-37Herts....well somewhere in this range because it's the first audible and musical, so to speak sound and it's basically the lowest Key on the keyboard!

[@ethanluvisia8678]

This has to be one of the best videos on the platform, incredible work

[@plasmarade]

GG on 1k subs, you reached 1k overnight, nice to see how the algorithm blessed you

[@plasmarade]

3 days later and your numbers have tripled... Just WOW You still deserve more subs btw your content is high quality

[@minoru1137]

Make that quintupled

[@plasmarade]

WOW

[@urymatulixlaj2485]

it’s currently 11x more than that of three weeks ago

[@plasmarade]

@@urymatulixlaj2485 HOLY... THAT'S INSANE The algorithm has blessed this man

[@-N0PE-]

I've been watching your videos the whole evening. You made my day.

[@BigWave69]

Dude you crushed it. The visuals really made it easy to learn, and I liked listening to the song you made at the end.

[@hvandermillen3237]

Man, I have seen so many people try to explain this, but you did it the best by far. Specifically I was always confused about how the square, triangle, etc. waves could be the "sum" of a bunch of sinusoids, it didn't really make sense looking at the shape. But this video paired with the calculus class I am taking really helped me understand where that comes from. Thank you so much!

[@wooandrewft]

Before seeing this video, i suspected that there was probably some maths behind sounds. This video confirms it and is exremely clear and helpful. Thank you.

[@kensstudios]

That's amazing making some calculation on music tone frequencies and all make sense because it showing what makes music sounds good or bad. Actually, I'm not doing math during composing piece because it useless to me. I only use my hearing to identify those dissonant notes that I should avoid in composing some piece.

[@raoyin1851]

That’s fun. It gives me a new perspective to understand music better which I wouldn’t have known if I wasn’t a professional musician.

[@techtheguy5180]

I need a 1 hour version of that sick beat

[@DJPastaYaY]

Super informative!!

[@bumbledoge]

i hated everything about math in school, but your videos man, made me change my mind (not gonna start learning it tho). waiting for more !!

[@sonikculture]

What a WONDERFUL video

[@Brotyx]

wow, I love the fact that this video is so detailed and explains everything so well! I normally don't leave comments on videos, but I really feel like I should do it here for the algorithm! :)

[@gian-227]

Learning with this kind of videos is x1000 easier. Thank you so much!

[@jdreiki]

Oh man, just found my new favorite Chanel, thanks dude, I was really needing this knowledge, and it up with the sick beats to

[@crawlinbacktoyou8282]

You made me download Matlab again. I am an electronics & telecommunication engineer. I was always feeling that i can connect math. with music. However, i could never find a clear video which explains basics that good. Very good job...

[@Jralm]

wow i didn't expected a video of this quality! so underrated

[@ТищенкоДанило-ь1у]

I'm no expert in electroinc music but this video has shed so much light on the topic. Thank you kindly!

[@prithvidhyani2002]

Probably one of my favorite videos on the internet right now..

[@Tantacrul]

very nice work! Thanks!

[@ollimacp]

Excellent description and presentation, that kind of teaching should be standard in schools & universities.

[@charpnatl]

I made an immediate connection with this information to the analog organ I acquired from a church several years ago. This was SO COOL!

[@sygma_mdn_zdd]

This is an incredible video. Even as an electronic music producer and someone who loves math, physics, and sound design, I still never fully understood how these sound waves worked. You explain everything so clearly and make it enjoyable to watch. Thank you.

[@mayankchoudhary9784]

Finally a quality channel,thanks KZbin algorithm

[@davidvallejo9184]

No one else could explain it better than you, you are the best!

[@seekerofmeaning]

The way you explain that is clean like a professional mix ;) Thank You!

[@hexagon5610]

This got recommended to me. I thought I would knew all of this already, but still learned some new things. Keep it up!

[@diogosilva5972]

The way you summed up and delivered these topics was brilliant!

[@arvinprativadi3051]

Absolutely excellent video. I am writing a paper on additive synthesis and its relation to mathematics and this was excellent help. Thank you so much!

[@derp4581]

Whoa, I've been looking for a video about this for ages!

[@ustino85]

Great vizual effects!! this is simple and clear. I want more series. nice job!

[@prodlowkeen]

this video is so incredibly underrated and interesting, love the way you explained and animated everything

[@thebaconbreadful]

This gave me such better understanding of music it is crazy! It just immediately clicked with me thinking about how our brains superpower is abstraction. It also finally made a lot of sense that culture impacts our musical understanding and preference. Especially why the rough integer approximation in a triard is working if you consider western music theroy. I would love a follow up video talking about a few of those things. Awesome work! It really inspired me and probably will help me understand many more things in the future.

[@ericornelasmath]

This is incredible. I'm speechless. I am without speech.

[@ryanmcdonald2027]

Thank you so much for the cool education on synthesis ! Thanks to you now I am now a sound designer and a midi musical piano instrument sound creator for a hobby at home in my recording studio ! :)

[@IncoBandito]

ALE TO BYŁO DOBRE. czuję się prawidłowo. dziękuję

[@channelsixtysix066]

I stumbled upon your channel today. What a revelation, I subscribed straight away and love the maths. Your channel never showed up in a search of KZbin channels on maths, so today was pure luck. I'm skimming through the videos, but at some stage, I will be binge-watching them. The content and the beautiful graphics are treat. Cheers. 👍

[@yoctometric]

So glad I found this channel! Incredibly high quality content

[@HarnaiDigital]

Congratulations for becoming part of KZbin's Algorithm. Keep up the Good work.

[@wisemonkey6716]

this is cool, i've been thinking about this as im learning about periodic functions rn

[@dranipani]

Thanks for this video. By the way, who narrated this video has the perfect voice for this type of content...

[@teakmakai]

This is the best sound design tutorial you’ll watch

[@s.vidhyardhsingh3881]

I needed something so badly and i didn't know what it was....... It was this video!!!! Thank you very much!!!

[@brookeelizabeth1270]

Such a beautiful description, and such a sick beat it had me dancing instantly!

[@plshalpme173]

you got recommended to me, then your other videos got recommended on the front page, then algorithm asked me if i liked you looks like the never blinking eye has turned towards you

[@Roaxial]

The beat at the end was really nice!

[@anilbahsi]

This video is helpful for everyone who interested in music and sound. Algorithm blessed me.

[@mountp1391]

how wonderful the times we had learned math, science, and music merge into one place through this video

[@MariosBeL]

What I just learned? Thank you for making this 🔥

[@EnderMega]

This is incredible, the "editing" since you made the graphics library, the story telling, the content in it, everything was awesome.

[@sweedmusic2166]

Very resourceful video! Thank you for the good explanation.

[@blablabla7796]

When the music started dropping I thought I was listening to The Toxic Avenger. Really cool, GJ man.

[@Shirley-by4ty]

Man, this is absolutely golden. I've been looking for a video like this for ages

[@okwhynot.]

Dude this would have to be the best video ever made, ever. Ever ever. Thanks

[@rodbrittner6524]

Really enjoyed that. Flyover which quickly touches the math of music and spans to synthesized sound design. No wonder you get 10% like rate. This video should receive an award. Cheers.

[@fireemblem2770]

Glad this stumbled upon me, I have always wanted to learn about the mathematics of music, not just the addition needed in notes but stuff like this. Thank you!!

[@Testgeraeusch]

Great animations :D Sidenote on Fourier's Theorem: It's not like writing some sound as a sum or integral of sinusoidal waves "may work", it even works for non-periodic discontinous signals like a kickdrum or a sudden blast, or various noise, although that is not as obvious as the regular version of "instruments have more than just one frequency". The only limitation to it's applicability is the range in time you want to cover. The larger, the better your results in terms of precision, but the less information you have on individual elements within that time frame. That's the famous uncertainty principle, which for some reason people only think of as "something with qunatum, right?". But in general, every function whose integral over the square is defined (in other words: it does not blow up to infinity) can be built up from complex waves. That even holds for something like a parapola or an exponential function if you limit the the range of the integration to some finite limits.

[@taylorroddin]

you gotta make some more videos on this style, introducing math to the mix was the only way i could finally understand music theory

[@pactpoint]

This channel have some potential to be popular. Keep up the good work!

[@RohanDreamerz]

Give this guy a medal!

[@minprez]

finally someone that simply explains how those waveforms are created, instead of just saying "yeah you have a triangle and a square, they work just like sinuses"

[@Clickle]

This video is amazingly put together, thank you for making this

[@adarshkishore6666]

That explanation was super. It is like music is singing out the beauties in mathematics. Also, love that last music where you combined all the instruments together into one great orchestra!

[@PoipleBabby]

The way you were able to highlight what portion of which formula contributed to the dynamics of the wave shape were really insightful and it helped somethink 'click' in my understanding of synthesis

[@biskynisky303]

@PoipleBabby what 'somethink' in your speech means?

[@Beanz0_vr]

Now imma just go up to all my friends and say, “Ayo, I’m feeling some real longitudinal waves right now dudeee. Vibes my guy”

[@kogsey]

Silly high quality for a channel with four videos, you're obviously putting in work and I really hope it pays off for you man. 👍

[@sebastianascencio9714]

First video I watch from you and I'm already subscribing. The beat was gold.

[@agustinyavar525]

The quality of the videos is amazing, I'm subbing

[@chair1694]

This video is so good and informative that i watched it fully till the end, and I even watched the outro lol

[@neonblack211]

that's really cool seeing the square wave and the formula for odd numbers in it

[@8888UNIVERSE8888]

This is the type of a video I was searching for =))) Thank you!!!!

[@nabil03]

I Think your channel is gonna grow big. I feel proud to be here at It's fundamental wave state😄. Very nice explanation, and the music at last was sick.

[@byronrobbins8834]

God even bless the A7 chord.

[@wotomy]

This tutorial is awesome! I'm so sad that I can't understand all the english but the animations are amazing. I really love it.

[@henningriez7655]

This content in this video is spot on. Somewhere between what a Dan Worall or Steve Mould might do and a visual Presentation like in the Vox Earworm Series you seem to have found your place. Everybody here seems to agree: we love it and cant wait to see more of that

[@gapguy9564]

Awesome, as a musician/ electronics engg i listen music and try to identify notes.. but from now on i need to check shapes too! Very interesting video . Thnks for the effort

[@namangupta6283]

This video is very very good Sometimes i appreciate that there are creator like you 🙏🏻❤️❤️