The Math Behind Music and Sound Synthesis

2024 ж. 1 Мам.
539 998 Рет қаралды

We hear sound because our ears can detect vibrations in the air, which come from sources like everyday objects, speakers and other people talking. Why do certain musical intervals sound the way they do? How are electronic music instruments made? This video will be all about sound frequencies, wave shapes and the math behind it all.
Timestamps
00:00 Intro
00:37 Pitch vs Frequency
01:27 Chromatic Scale, Consonance & Dissonance
05:18 Harmonic Series, Tonality & Instrument Timbre
07:37 Wave Shapes & Sound Design
Music by Karl Casey @ White Bat Audio
/ @whitebataudio
Thanks for watching, Inspecto

Пікірлер
  • 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.

    @turpialito@turpialito3 жыл бұрын
    • 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.

      @pharezdamena8435@pharezdamena84352 жыл бұрын
    • @@pharezdamena8435 it is not in this Video

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

      @danieldale1488@danieldale1488 Жыл бұрын
    • He's here fouier information!!!! !!!! !!!! !!! !!! !!! !! !! ! //*Syntax error, time deaf 🥂*//

      @jasonzacharias2150@jasonzacharias2150 Жыл бұрын
    • I guess I've been accidentally striving to be this dude since I'm a math major with minors in music and comp sci

      @cadenbicsak1703@cadenbicsak170311 ай бұрын
  • The way you animate and explain is incredible

    @quantumgaming9180@quantumgaming91803 жыл бұрын
    • Thank you :)

      @Gonkee@Gonkee3 жыл бұрын
    • Epic pfp my guy

      @krowus3833@krowus38332 жыл бұрын
    • Cool pfp

      @orangutanenjoyerv2@orangutanenjoyerv22 жыл бұрын
    • @@orangutanenjoyerv2 you too, handsome

      @quantumgaming9180@quantumgaming91802 жыл бұрын
    • @@Gonkee Hello. Please, could you tell Me the name of the track from the ending of this video. I’ve just fallen in love with it… But I have no idea how to find it, I was searching it on the channel of its author the whole evening and in Apple Music but all My efforts are in vain(

      @user-xx9on8wf1f@user-xx9on8wf1f Жыл бұрын
  • The Algorithm has found you, friend.

    @samevans4834@samevans48343 жыл бұрын
    • Yup he deserves it

      @tjseries3057@tjseries30573 жыл бұрын
    • great

      @JohnPaulBuce@JohnPaulBuce3 жыл бұрын
    • praise be! may The Algorithm guide us to the Great Recommendation one day

      @b42thomas@b42thomas3 жыл бұрын
    • @@b42thomas Amen

      @thebeamerdreamer@thebeamerdreamer3 жыл бұрын
    • Thank GOD

      @jakeguercia7755@jakeguercia77553 жыл бұрын
  • Was this just an elaborate scheme to show us that sick beat? (I absolutely loved the video btw)

    @David-zy1lr@David-zy1lr3 жыл бұрын
    • That's exactly what it is haha

      @Gonkee@Gonkee3 жыл бұрын
    • @@Gonkee my man's in live cooking it fresh

      @UncoveredTruths@UncoveredTruths3 жыл бұрын
    • tutorial just to flex lol

      @JohnPaulBuce@JohnPaulBuce3 жыл бұрын
    • I want that song! It sounded soooo sick ^^

      @alexandrosweeb8059@alexandrosweeb80593 жыл бұрын
    • @@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?

      @dominicellis1867@dominicellis18673 жыл бұрын
  • You really thought you could sneak *the lick* past us at 7:27, huh ;)

    @XanderGouws@XanderGouws3 жыл бұрын
    • Adam Neely is seething

      @samevans4834@samevans48343 жыл бұрын
    • i noticed too!

      @catapillie@catapillie3 жыл бұрын
    • wysi

      @ilikecats310@ilikecats3103 жыл бұрын
    • wysi

      @ishikani@ishikani3 жыл бұрын
    • came directly to the comments because of that

      @nullifier_@nullifier_3 жыл бұрын
  • This channel have so much potential

    @joaovictorsilva3092@joaovictorsilva30923 жыл бұрын
  • 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.

    @jimmy21584@jimmy215843 жыл бұрын
  • when he started building the song as he was explaining the waveform sounds i wanted to cry. that was so beautiful

    @thefranciscoflores@thefranciscoflores11 ай бұрын
  • 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.

    @ShaunakDe@ShaunakDe3 жыл бұрын
  • that little beat at the end was a banger

    @donbonesmith9628@donbonesmith96283 жыл бұрын
  • 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 😍

    @antipainK@antipainK3 жыл бұрын
    • Why do you have a profile picture of kermit committing suicide?

      @azraf_youtube@azraf_youtube2 жыл бұрын
    • I also needed this explanation and I feel smarter for understanding this. I guess we are all geniuses with a right teacher :)

      @melihbostan9159@melihbostan91598 ай бұрын
  • 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.

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

    @KlaudiusL@KlaudiusL3 жыл бұрын
  • 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

    @shotgun3628@shotgun36283 жыл бұрын
  • This video is amazingly put together, thank you for making this

    @Clickle@Clickle3 жыл бұрын
  • 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 :)

    @Testgeraeusch@Testgeraeusch3 жыл бұрын
    • Sounds interesting!! Could u send the .zip to me?

      @chiaramartin8426@chiaramartin84262 жыл бұрын
    • 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 )

      @VRchitecture@VRchitecture Жыл бұрын
    • @@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... ^^

      @Testgeraeusch@Testgeraeusch Жыл бұрын
    • 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!

      @tobitdesmet@tobitdesmet Жыл бұрын
    • what is the name of the java program?

      @jwgmail@jwgmail Жыл бұрын
  • 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.

    @sygma_mdn_zdd@sygma_mdn_zdd3 жыл бұрын
  • I think it was the clearest explanation of the fourier series and sound design that I've ever seen. Amazing job.

    @KazeReload@KazeReload Жыл бұрын
  • Amazing video man! I rarely comment on videos but think what you do is great! You manage to explain the mathematics behind it quite intuitively while also making it appealing, factual and to the point. Looking forward to the moment your channel blows up!

    @12333333333435454646@123333333334354546462 жыл бұрын
  • Dude you crushed it. The visuals really made it easy to learn, and I liked listening to the song you made at the end.

    @SilentShiba@SilentShiba3 жыл бұрын
  • 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! :)

    @Brotyx@Brotyx3 жыл бұрын
  • this video is so incredibly underrated and interesting, love the way you explained and animated everything

    @prodlowkeen@prodlowkeen3 жыл бұрын
  • Great vizual effects!! this is simple and clear. I want more series. nice job!

    @user-oh4sg1wd4q@user-oh4sg1wd4q3 жыл бұрын
  • This is incredible, the "editing" since you made the graphics library, the story telling, the content in it, everything was awesome.

    @EnderMega@EnderMega2 жыл бұрын
  • Great content, amazing visuals, maths, music theory. Masterpiece!

    @acousticIndie@acousticIndie3 жыл бұрын
  • Nice video, I was looking for that. Thank you!

    @DanielVieira-mj1ml@DanielVieira-mj1ml3 жыл бұрын
  • Amazing video! Your videos are all of phenomenal quality. You have a true talent to break a complex topic down to essentials, and then build it back up clearly, logically, and with concrete examples. Looking forward to your future videos!

    @sebastiangamboa9339@sebastiangamboa93393 жыл бұрын
  • This got recommended to me. I thought I would knew all of this already, but still learned some new things. Keep it up!

    @hexagon5610@hexagon56103 жыл бұрын
  • Oh man, just found my new favorite Chanel, thanks dude, I was really needing this knowledge, and it up with the sick beats to

    @jdreiki@jdreiki3 жыл бұрын
  • Man, this is absolutely golden. I've been looking for a video like this for ages

    @Shirley-by4ty@Shirley-by4ty2 жыл бұрын
  • This is beautiful

    @kichigan1@kichigan18 ай бұрын
  • Damn your videos are so good, incredible content. Wasn't expecting a sick chiptune bit at the end, love it!❤️

    @davidebertini7404@davidebertini74043 жыл бұрын
  • The way you summed up and delivered these topics was brilliant!

    @diogosilva5972@diogosilva597211 ай бұрын
  • 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!

    @hvandermillen3237@hvandermillen32373 жыл бұрын
  • awesome - thank you!

    @askmaxim@askmaxim9 ай бұрын
  • Such a beautiful description, and such a sick beat it had me dancing instantly!

    @brookeelizabeth1270@brookeelizabeth12702 жыл бұрын
  • This is such an amazing video!!! Thanks so much for having this up on the web!

    @tomasenrique@tomasenrique Жыл бұрын
  • I love this channel so much. You should have at least a million subs!!!! Such quality is so...beautiful to see. Please keep up the good work!

    @WolfrostWasTaken@WolfrostWasTaken3 жыл бұрын
  • 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!!

    @fireemblem2770@fireemblem27703 жыл бұрын
  • Incredible work, you got my hype for your next vids :)

    @Gabwiell@Gabwiell3 жыл бұрын
  • The way you explain that is clean like a professional mix ;) Thank You!

    @seekerofmeaning@seekerofmeaning3 жыл бұрын
  • Uau! Thank you! Please, don't stop!

    @Rodolfoalvescarvalho@Rodolfoalvescarvalho3 жыл бұрын
  • This video is genuinely fantastic! Great work!

    @MrLuigiBean1@MrLuigiBean13 жыл бұрын
  • Amazing! Thank you so much for this!

    @jewelthompson4210@jewelthompson42102 ай бұрын
  • Absolute gold. Completely captivating

    @theheartstringvirtuoso@theheartstringvirtuoso11 ай бұрын
  • 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.

    @thebaconbreadful@thebaconbreadful3 жыл бұрын
  • 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 KZhead 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. 👍

    @channelsixtysix066@channelsixtysix0662 жыл бұрын
  • thanks for the beautiful math and animations ! awesome, hope to see more !

    @spacefreedom@spacefreedom3 жыл бұрын
  • Awesome vid! Thank you for this.

    @arpithjohn520@arpithjohn5203 жыл бұрын
  • What I just learned? Thank you for making this 🔥

    @MariosBeL@MariosBeL3 жыл бұрын
  • you are a freakin genius homie! keep up the good work! the beat at the end was amazing!

    @aakashprasad114@aakashprasad11410 ай бұрын
  • 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"

    @minprez@minprez10 ай бұрын
  • Awesome vid! Gotta say that all projects on this channel are really intriguing! Many of these have been on my mind as fun project ideas. It's so nice when someone else has already implemented them along with a great videos, so there's no need to experiment with them by oneself anymore. 😝

    @modus_ponens@modus_ponens3 жыл бұрын
  • Thanks for the knowledge!

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

    @akelych@akelych4 ай бұрын
  • you gotta make some more videos on this style, introducing math to the mix was the only way i could finally understand music theory

    @taylorroddin@taylorroddin3 жыл бұрын
  • wow i didn't expected a video of this quality! so underrated

    @Jralm@Jralm3 жыл бұрын
  • Whoa, I've been looking for a video about this for ages!

    @derp4581@derp45813 жыл бұрын
  • I've never seen before so good explanation of theory of sound and harmonics! It was great! Thanks!

    @PaxHominibusBonaeVoluntatis@PaxHominibusBonaeVoluntatis8 ай бұрын
  • This is incredible. I'm speechless. I am without speech.

    @ericornelasmath@ericornelasmath2 жыл бұрын
  • This entire channel is just amazing, please make more videos

    @doonual6034@doonual60343 жыл бұрын
  • That was an absolutely outstanding video! Instant sub from me. Can't wait to see what more you have in store for us!

    @FenlonAcoustic@FenlonAcoustic3 жыл бұрын
  • 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!

    @adarshkishore6666@adarshkishore66662 жыл бұрын
  • Great explanations. You brought maths, music theory and instrument synthesis together very clearly.

    @oldrockhopper3652@oldrockhopper365211 ай бұрын
  • This channel have some potential to be popular. Keep up the good work!

    @pactpoint@pactpoint3 жыл бұрын
  • This channel is gonna blow up. Great video by the way!

    @shabaq7077@shabaq70773 жыл бұрын
  • Thank you for so simply and quickly explaining these fundamentals with great illustrations! I will keep coming back to this and your channel!

    @ThongNguyen-fl9jp@ThongNguyen-fl9jp3 жыл бұрын
  • This video is absolutely amazing!

    @the.emc33@the.emc33 Жыл бұрын
  • GG on 1k subs, you reached 1k overnight, nice to see how the algorithm blessed you

    @plasmarade@plasmarade3 жыл бұрын
    • 3 days later and your numbers have tripled... Just WOW You still deserve more subs btw your content is high quality

      @plasmarade@plasmarade3 жыл бұрын
    • Make that quintupled

      @crazycat1380@crazycat13803 жыл бұрын
    • WOW

      @plasmarade@plasmarade3 жыл бұрын
    • it’s currently 11x more than that of three weeks ago

      @urymatulixlaj2485@urymatulixlaj24853 жыл бұрын
    • @@urymatulixlaj2485 HOLY... THAT'S INSANE The algorithm has blessed this man

      @plasmarade@plasmarade3 жыл бұрын
  • Extraordinary video 🤯

    @jashwanthpeddisetty3264@jashwanthpeddisetty32649 ай бұрын
  • This is extremely high quality content! Subscribed!

    @gabedarrett1301@gabedarrett1301 Жыл бұрын
  • Dude I never comment but this is high quality material and so informative, your channel deserves so much attention and I’m sure you’ll get it

    @ConnorBox@ConnorBox3 жыл бұрын
  • I am just a kid... learning math, science Now I can see how to corelate them easily. Glad you made this video !!!

    @neetishdhavgaye@neetishdhavgaye3 жыл бұрын
  • You've made some great content, my man! Subscribed!

    @RAyLV17@RAyLV173 жыл бұрын
  • AMAZING!! THANK YOU ❤️❤️❤️

    @jujoropo@jujoropo Жыл бұрын
  • Exactly what I was looking for. Thank you.

    @erodas4222@erodas42222 жыл бұрын
  • Bruh this video is so good 💯

    @eshaansangodkar7534@eshaansangodkar75348 ай бұрын
  • The quality of the videos is amazing, I'm subbing

    @agustinyavar525@agustinyavar5253 жыл бұрын
  • 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

    @plshalpme173@plshalpme1733 жыл бұрын
  • What an amazing video! Thanks!

    @juanpenagos@juanpenagos3 жыл бұрын
  • Great work. Keep on producing. Subbed ❤️

    @SmartK8@SmartK83 жыл бұрын
  • Can't believe this channel is new! The quality seems like it's been up for longer, can't wait to see it blow up, good luck!

    @gamboodle@gamboodle3 жыл бұрын
  • Great informative and interesting video. Very well explained and visualized as well. Your video deserves much more attention.

    @frab8061@frab80613 жыл бұрын
  • Best video i've seen in while! you're really good at educating 🙌

    @itsdrawkcab5899@itsdrawkcab589910 ай бұрын
  • Fascinating!

    @efeguleroglu@efeguleroglu2 жыл бұрын
  • Thank you! 🙏🏻

    @oliverbrunncarstens4215@oliverbrunncarstens42153 жыл бұрын
  • Awesome video! Thank you!

    @AJ-et3vf@AJ-et3vf Жыл бұрын
  • Brilliant stuff!

    @necdetcapar3996@necdetcapar39965 ай бұрын
  • Awesome Video bro, Pls continou making them 🙏

    @SnikkerDerVon@SnikkerDerVon3 жыл бұрын
  • Nice Input, Loved it

    @littlethingsbig5718@littlethingsbig571811 ай бұрын
  • Thank you so much).Fire video🔥

    @AliAhmedov-xc7mn@AliAhmedov-xc7mn3 ай бұрын
  • 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!

    @arvinprativadi3051@arvinprativadi3051 Жыл бұрын
  • ALE TO BYŁO DOBRE. czuję się prawidłowo. dziękuję

    @nikkorino8100@nikkorino81009 ай бұрын
  • Thank you man, so helpful. Please do more video talk about the math behind music. Producer needs a ton of these knowledge.

    @iamnickycchen@iamnickycchen3 жыл бұрын
  • 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

    @PoipleBabby@PoipleBabby3 жыл бұрын
  • Seeing how the formulas manipulated the humble sine wave into the other waveforms was awesome to see! Thanks for making this vid dude

    @uniworkhorse@uniworkhorse3 жыл бұрын
  • Probably one of my favorite videos on the internet right now..

    @prithvidhyani1991@prithvidhyani199111 ай бұрын
  • Learning with this kind of videos is x1000 easier. Thank you so much!

    @gian-227@gian-22710 ай бұрын
  • No one else could explain it better than you, you are the best!

    @davidvallejo9184@davidvallejo918411 ай бұрын
  • Woah!! This is very very good man! Thanks!

    @dusansimic1907@dusansimic19073 жыл бұрын
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