The Math Behind Music and Sound Synthesis

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  • @turpialito
    @turpialito 3 роки тому +1071

    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
      @pharezdamena8435 2 роки тому +4

      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
      @aschelocke5287 2 роки тому +2

      @@pharezdamena8435 it is not in this Video

    • @danieldale1488
      @danieldale1488 2 роки тому +12

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

    • @jasonzacharias2150
      @jasonzacharias2150 Рік тому

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

    • @cadenbicsak1703
      @cadenbicsak1703 Рік тому +3

      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
    @quantumgaming9180 3 роки тому +905

    The way you animate and explain is incredible

    • @Gonkee
      @Gonkee  3 роки тому +65

      Thank you :)

    • @krowus3833
      @krowus3833 3 роки тому +9

      Epic pfp my guy

    • @rangutanz
      @rangutanz 3 роки тому +5

      Cool pfp

    • @quantumgaming9180
      @quantumgaming9180 3 роки тому +4

      @@rangutanz you too, handsome

    • @mq-r3apz291
      @mq-r3apz291 Рік тому +1

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

  • @David-zy1lr
    @David-zy1lr 3 роки тому +1297

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

    • @Gonkee
      @Gonkee  3 роки тому +346

      That's exactly what it is haha

    • @UncoveredTruths
      @UncoveredTruths 3 роки тому +28

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

    • @JohnPaulBuce
      @JohnPaulBuce 3 роки тому +19

      tutorial just to flex lol

    • @alexandrosweeb8059
      @alexandrosweeb8059 3 роки тому +8

      I want that song! It sounded soooo sick ^^

    • @dominicellis1867
      @dominicellis1867 3 роки тому +6

      @@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?

  • @samevans4834
    @samevans4834 3 роки тому +1828

    The Algorithm has found you, friend.

  • @thefranciscoflores
    @thefranciscoflores Рік тому +12

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

  • @ShaunakDe
    @ShaunakDe 3 роки тому +57

    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
    @joaovictorsilva3092 3 роки тому +156

    This channel have so much potential

  • @kensstudios
    @kensstudios Рік тому +2

    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.

  • @XanderGouws
    @XanderGouws 3 роки тому +447

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

  • @akelych
    @akelych Рік тому +1

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

  • @jimmy21584
    @jimmy21584 3 роки тому +198

    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.

  • @donbonesmith9628
    @donbonesmith9628 3 роки тому +18

    that little beat at the end was a banger

  • @linusemmerich3424
    @linusemmerich3424 Рік тому +1

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

  • @yuvrajcharan5387
    @yuvrajcharan5387 Місяць тому +1

    Finally UA-cam has something meaningful to recommend

  • @kitwhale9067
    @kitwhale9067 Рік тому +2

    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!

  • @antipainK
    @antipainK 3 роки тому +43

    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
      @azraf_youtube 3 роки тому +3

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

    • @melihbostan9159
      @melihbostan9159 Рік тому

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

  • @bobbyundercover4905
    @bobbyundercover4905 2 роки тому +1

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

  • @aakashprasad114
    @aakashprasad114 Рік тому +1

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

  • @DJPastaYaY
    @DJPastaYaY Рік тому +1

    Super informative!!

  • @shotgun3628
    @shotgun3628 3 роки тому +37

    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

  • @prod.filipzz
    @prod.filipzz 7 місяців тому +2

    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.

  • @neetishdhavgaye
    @neetishdhavgaye 3 роки тому +6

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

  • @mayankchoudhary9784
    @mayankchoudhary9784 3 роки тому +1

    Finally a quality channel,thanks UA-cam algorithm

  • @BlessedCobra
    @BlessedCobra Рік тому +7

    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.

  • @TheWheatless
    @TheWheatless 3 роки тому +5

    8:00
    What are these wave shapes, physically? Are these still essentially graphs of air pressure?

    • @adrian66696
      @adrian66696 3 роки тому +2

      A signal, basically a current in an electric circuit (the graph represents current amplitude over time), then it's used by a speaker to create air vibrations.

    • @alekisighl7599
      @alekisighl7599 3 роки тому +1

      When played by a speaker yes and when they reach our ears yes they are air pressure waves. When stored as data in memory they are high and low voltages. 0s and 1s

  • @techtheguy5180
    @techtheguy5180 Рік тому +1

    I need a 1 hour version of that sick beat

  • @sonikculture
    @sonikculture 3 роки тому

    What a WONDERFUL video

  • @KlaudiusL
    @KlaudiusL 3 роки тому +12

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

  • @sweedmusic2166
    @sweedmusic2166 Рік тому

    Very resourceful video! Thank you for the good explanation.

  • @dranipani
    @dranipani Рік тому

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

  • @anilbahsi
    @anilbahsi 3 роки тому

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

  • @ericornelasmath
    @ericornelasmath 3 роки тому

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

  • @ethanluvisia8678
    @ethanluvisia8678 5 місяців тому +1

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

  • @namangupta6283
    @namangupta6283 2 місяці тому

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

  • @davidvallejo9184
    @davidvallejo9184 Рік тому

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

  • @ollimacp
    @ollimacp 3 роки тому +1

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

  • @crawlinbacktoyou8282
    @crawlinbacktoyou8282 Рік тому

    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...

  • @RohanDreamerz
    @RohanDreamerz 3 роки тому

    Give this guy a medal!

  • @prithvidhyani2002
    @prithvidhyani2002 Рік тому

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

  • @gian-227
    @gian-227 Рік тому

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

  • @ТищенкоДанило-ь1у

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

  • @ryanmcdonald2027
    @ryanmcdonald2027 3 місяці тому

    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 ! :)

  • @wooandrewft
    @wooandrewft Рік тому

    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.

  • @kubita-thecall8795
    @kubita-thecall8795 Рік тому

    Watching from Swaziland 🇸🇿❤️🙏💕 thanks for the "golden" knowledge you just shared here.
    I wouldn't have known such in my 42yrs. This is tops and nowhere could I hear such deep rare knowledge. I love you bro 🇸🇿😎

  • @IncoBandito
    @IncoBandito Рік тому

    ALE TO BYŁO DOBRE. czuję się prawidłowo. dziękuję

  • @Tantacrul
    @Tantacrul Рік тому +1

    very nice work! Thanks!

  • @KazeReload
    @KazeReload 2 роки тому +1

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

  • @Testgeraeusch
    @Testgeraeusch 3 роки тому +122

    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
      @chiaramartin8426 2 роки тому

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

    • @VRchitecture
      @VRchitecture 2 роки тому +1

      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
      @Testgeraeusch 2 роки тому +1

      @@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
      @tobitdesmet 2 роки тому +1

      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
      @jwgmail Рік тому

      what is the name of the java program?

  • @bumbledoge
    @bumbledoge 3 роки тому +2

    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 !!

  • @SilentShiba
    @SilentShiba 3 роки тому +1

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

  • @blablabla7796
    @blablabla7796 3 роки тому

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

  • @diogosilva5972
    @diogosilva5972 Рік тому

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

  • @Jralm
    @Jralm 3 роки тому +3

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

  • @jdreiki
    @jdreiki 3 роки тому +1

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

  • @minprez
    @minprez Рік тому

    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"

  • @raoyin1851
    @raoyin1851 3 роки тому +1

    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.

  • @sebastianascencio9714
    @sebastianascencio9714 2 місяці тому

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

  • @teakmakai
    @teakmakai 3 роки тому

    This is the best sound design tutorial you’ll watch

  • @okwhynot.
    @okwhynot. 7 місяців тому

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

  • @hvandermillen3237
    @hvandermillen3237 3 роки тому +1

    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!

  • @charpnatl
    @charpnatl Рік тому

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

  • @seekerofmeaning
    @seekerofmeaning 3 роки тому +1

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

  • @MariosBeL
    @MariosBeL 3 роки тому +1

    What I just learned?
    Thank you for making this 🔥

  • @HarnaiDigital
    @HarnaiDigital 3 роки тому +1

    Congratulations for becoming part of UA-cam's Algorithm. Keep up the Good work.

  • @s.vidhyardhsingh3881
    @s.vidhyardhsingh3881 Рік тому

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

  • @sujitjustinebarwa
    @sujitjustinebarwa 2 роки тому

    This was the best presentation of music and math i have ever seen 😃

  • @plasmarade
    @plasmarade 3 роки тому +60

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

    • @plasmarade
      @plasmarade 3 роки тому +1

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

    • @minoru1137
      @minoru1137 3 роки тому

      Make that quintupled

    • @plasmarade
      @plasmarade 3 роки тому

      WOW

    • @urymatulixlaj2485
      @urymatulixlaj2485 3 роки тому

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

    • @plasmarade
      @plasmarade 3 роки тому +2

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

  • @Roaxial
    @Roaxial 3 роки тому +10

    The beat at the end was really nice!

  • @holdonasec6196
    @holdonasec6196 8 місяців тому +6

    This is wild because this mean that irrational numbers sound better and any irrational number multiplied will make a irrational number so frusciante was right by detuning to get a better harmonic.

  • @-N0PE-
    @-N0PE- 3 роки тому +24

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

  • @channelsixtysix066
    @channelsixtysix066 3 роки тому +1

    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 UA-cam 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. 👍

  • @chair1694
    @chair1694 2 роки тому

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

  • @brookeelizabeth1270
    @brookeelizabeth1270 3 роки тому +1

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

  • @mountp1391
    @mountp1391 Рік тому

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

  • @rodbrittner6524
    @rodbrittner6524 3 роки тому

    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.

  • @8888UNIVERSE8888
    @8888UNIVERSE8888 Місяць тому

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

  • @kogsey
    @kogsey 3 роки тому

    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. 👍

  • @ustino85
    @ustino85 3 роки тому +3

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

  • @salmakhaled4402
    @salmakhaled4402 3 місяці тому

    Absolutely enjoyed watching this, so insightful!

  • @jashwanthpeddisetty3264
    @jashwanthpeddisetty3264 Рік тому +1

    Extraordinary video 🤯

  • @Brotyx
    @Brotyx 3 роки тому +4

    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! :)

  • @Xingchen_Yan
    @Xingchen_Yan 3 роки тому

    bro the algorithm that leads to you is like the hash function that gives bitcoin
    really nice work, I learned a lot, please keep up

  • @curtpiazza1688
    @curtpiazza1688 2 роки тому

    Wow! Lots of valuable information in just 12 min.! Thanx!

  • @inarahmusic3369
    @inarahmusic3369 3 роки тому

    Awesome tutorial. Had to hit us with the lick lol

  • @Shirley-by4ty
    @Shirley-by4ty 3 роки тому

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

  • @derp4581
    @derp4581 3 роки тому +6

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

  • @christianjavier1648
    @christianjavier1648 Рік тому

    This is such a good video in so many levels. Thanks UA-cam for recommending this. 🎉

  • @shabaq7077
    @shabaq7077 3 роки тому

    This channel is gonna blow up. Great video by the way!

  • @eternalnjem
    @eternalnjem 2 роки тому

    I’m naturally gifted at music and I was always good at pointing out patterns. Geometry also came naturally to me

  • @arvinprativadi3051
    @arvinprativadi3051 2 роки тому +1

    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!

  • @dexterrik
    @dexterrik Рік тому

    You really fussioned maths I know with the beauty of music I always wanted to understand. Thank you for that!!

  • @OrchardHymns
    @OrchardHymns 2 роки тому

    An informative crash course into specifics of synthesi...

  • @ArduinoHocam
    @ArduinoHocam Рік тому +1

    Would be great to mention, why do different instruments sound different for the same note ? Like note D on violin and note D on guitar? because of their base frequency same doesnt mean the harmonics are also same, due to the different type of instruments and their materials, they sound a bit different even though the note is same.

  • @theheartstringvirtuoso
    @theheartstringvirtuoso Рік тому

    Absolute gold. Completely captivating

  • @sygma_mdn_zdd
    @sygma_mdn_zdd 3 роки тому

    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.

  • @DavidAlexx
    @DavidAlexx 2 роки тому

    Super interesting stuff! I love envisioning how multiple signals will add onto a wave to create it's shape. Adds a whole new perspective when using them in terms of brightness 👍

  • @hexagon5610
    @hexagon5610 3 роки тому +1

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

  • @gamboodle
    @gamboodle 3 роки тому +2

    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!

  • @pactpoint
    @pactpoint 3 роки тому +1

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

  • @prodlowkeen
    @prodlowkeen 3 роки тому +2

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