Encoding the Fibonacci Sequence Into Music
ฝัง
- เผยแพร่เมื่อ 16 มิ.ย. 2018
- I made a piano piece from the Fibonacci Sequence by assigning numbers to the E major scale.
Arranged and Performed by David Macdonald
Filmed by Tristan Rios
Twitter: / asongscout
Instagram: / asongscout
Facebook: / asongscout-29199769758...
My sheet music: www.musicnotes.com/sheet-music...
Additional graphics from Wikimedia Commons - เพลง
Better be careful playing that, you might open some portals or something.
Lol
Hold on, he might be calling Alien
You got me dying on this
he might open warm hole.....
😂😂
When you love math, but your parents forced you to be a musician
Thank you, done!!
Hangwelani Madilonga In America, it’s “math” so back off.
Justin Garrison really?
Thank you!
However, Hangwelani he was trying to correct me because I missed the word “math”
@@bunthaideng2492 Oh, I see. Still crappy to be a grammar/spelling nazi, so I regret nothing.
underrated
My mom sent me this video after I started learning music production because she thought it was cool and interesting. She passed away unexpectedly and I come back to this a lot to watch and share a moment with her, remembering how conscientious she was. Between that connection and the music it brings me to tears. Thanks for this.
I’m so sorry for your loss
We are universe. We just change. You are everything. She's with you. She always be. Much love 💖
I’m reading this with my mum sitting a few meters away
@@kosmicway3074 I genuinely appreciate the nice sentiment. But as much as that even is true, nothing eases the pain of wanting to be with her and talk to her. Thankful for music. Wishing you well.
@@HassleHoffer372 cherish that. wish i could have had that moment.
It's not beautiful because of the Fibonacci sequence, but because he use a diatonic scale where, by definition, the notes sound always great. You can play random notes or notes from Euler's numbers it will sound good. It's beautiful because of the piano player AND his harmonic chooses.
Welll said. He made a very good work with the harmony, the dynamics, the bass etc.
diatonic scale sounding ALWAYS great?? are you sure?? there are 2 semitones and one tritone, you can easily get very unconfortable sounds using chords that aren't base on stacking thirds
@@pedrosaune Yes I'm sure :) Only using whole tones could make you unconfortable. I have a exercise with my student about diatonic, you can't play wrong ;)
Idc it helps me remember
o
Now play the Pythagoras theorem
Gimberg Preval underrated comment
That’s makes no sense it’s not a sequence
bon bon woosh
Julius Trenkler r/doublewooooosh
bon bon Boi nowhere in your comment was there a joke for me to miss. Additionally, there was no indication that you actually got OP's joke in the first place.
Composing music with maths. This is just magical.
Totally!
Music is based on maths, specifically the intervals between notes; simple ratios sound nice to the human brain.
(Though in the modern tuning system of equal temperament, approximations of those ratios are used as just using the ratios will render many keys and chords useless, but your brain doesn’t really notice the difference between equal temperament and the ratios unless you’re really listening for it.)
Bach wrote most of his music with math first then translated it into music.
music is math
mathimagical :)
When I was about seven or eight years old, after seeing a lot of my mathematician father's notebooks with beautiful and mysterious math formulas like divine music notes from the sky, I asked my father, "dad, what is mathematics?". He answered, "at the highest level, it is like music, you can only feel". I never forget that moment....
I'm pretty sure, he inspired you to do the things that which you love such as the multiple wave lengths of each notes traveling through the air into our ears and of course our heart content.
@@hentaiyamete1190 yes, the rhythm of our heartbeat is the most beautiful music, when it’s tuned into the frequency of vibration of universe
@@gracerongli3929 He's right indeed. I felt the whole beauty of mathematics as soon as you make your first proof of a theorem. Finding the "idea" or the "spark" that makes a proof a proof is a very intuitive process, indeed only something that can be felt.
Beautiful.
Lol sure that thing happened 🤣
For those that don't play the piano. Ill let you into a secret. Once you know the keys and scales, you can basically press any key you want in that scale and it will sound good.
If you look at his left hand he is playing arpegiated chords that set the mood or feel of the music. However, the right is essentially playing random notes (the fibbernachi sequence). However, it still sounds good because it's in key.
I'll prove it, with your left hand hold down C, E and G. Now with your right hand, press any white note you like, it doesn't matter which one, they will all sound good.
You've just learnt the chord of C, in the key of C with the scale of C. A free one hour piano lesson in 10 seconds...you're welcome.
👀👀👀
Don’t mind me, taking notes rn.
Well done.
how much i owe u?
With your left hand, just hold the C and G. The E sounds a little dark when it's that low.
Now do the same with F and C. Bang! That's Lydian.
This just shows you can crawl around the major scale any way you want and it sounds okay.
Exactly
Exactly2
Worthy of testing that theory :)
Exactly3
Well there was presumably a lot of thought into how he was going to play it to make it sound good
Ive never imagined that math can make you cry the other way
Love it!
So.. laugh?
@@shrooman768 The inverse function of a cry.
@@bjul cry² + laugh² = craugh²
all of music theory is just math put to frequencies.
PLEASE I am literally BEGGING you to make this song longer…. It’s so beautiful 😢
"There is geometry in the humming of the strings, there is music in the spacing of the spheres." - Pythagoras
As another guy mentioned down the line, the beauty of the composition is due to the harmonization + structure added by the player. It would probably work with random numbers as well. So it is human interpretation which renders it enjoyable. It would be interesting to have it generated *completely* algorithmically (melody+harmonization+rhythm) and see if it still would sound so great!
Thanks, Mr. Obvious. π, as well as the Fibonacci sequence have a lot of Mathematical properties, but they don't have musical properties.
My understanding is, the more mathematical a composition gets the less likely it sounds like music to the average human listener.
I generated notes and chords using the Fibonacci sequence randomly when I was studying my computer science degree.
It is much like any computer generated music and sounds.. Computer generated; quite random. The piece in this video sounds good but it's a human interpretation using the numbers in a way that fits Western composition rules. For example he has played larger numbers by sequencing the individual integers rather than playing those integers as a chord... Which would have sounded discordant and muddy but is what a computer would do unless you gave it additional rules to split those numbers into something more palatable to our musical sensibilities.
I'd like to hear it with octal based numbers instead of decimal. It just seems like the keys would match up better.
@@finlayson6868 Well put I totally agree xx
This man played the Fibonacci sequence so well that he was transported into nature lol.
😂😂😂😂😂😂
😁😁Sarcasm
68 likes. Good job man.
LUCY ending confirmed
This made my day XD
A few years ago, I added this video clip into the favorites on my channel. After reviewing it again I see why it is a favorite. This is beautiful.
not really
This is soooo good that it just makes me cry. I love how you put the numbers beneath the view of you playing so that we can actually see and UNDERSTAND how the music and the number sequence is being played. Truly beautifully brilliant work!
You said what I was already feeling. Thank you! ❣️
*when the recommendation is actually worth it*
I agree!!
Finally after one year
Finally!!
This is it chief?
Yepp
This sounds good because it’s in e major and has harmonies
Euler's Number major. So glorious! :D
Obviously because of adding the harmonie however the melodie is built up with the fibonacci scale. In General all music is created with harmonies to complete. It's not "just a piece in E Major" it's built up from a mathematical starting point not a musical inspiration.
And he's playing notes corresponding to the *digits* of each number. With a system like this he could be using a random number generator and get indistinguishable results. Nothing specific to the Fibonacci sequence here.
No, he is only using chord functions, he could have used any scale he wanted to. So he chose major to make it easier
Thiks vf But the point is he didn’t use like a chromatic scale or like a whole tone scale I’m pretty sure
I showed This To My Math Teacher Now He Teaches Us Maths With Piano.
Lateralus by Tool is also something to check out. Their usage of syllables follows the sequence, and some other things, such as the intro being 1 minute and 38 seconds long: 13 and 8 are numbers in the sequence, and 13:8 is also thus, an example of the golden ratio. There's an in depth video on all the math they crammed into their 9+ minute song called "How Tool Used Math to Create 'Lateralus'".
This should be in a detective movie. Like this mysterious piano is playing this song and you don't know what it means, until this super smart person figures out it's the fibonacci sequence in E major, and that leads them to the next clue
something like this is in the show fringe. child music prodigy just cant solve the end of the song, and a mathematician cant complete a formula. i wont spoil it for you
there is a detective Conan movie like this
what
Look at criminals minds codas theme tune
@@ardhendumitra3458 and also moonlight sonata murder case, the very ep 11
How to play piano,
Step 1: Get a PhD in mathematics
How to write music - get a PhD in mathematics
Enter the italian mafia
😂
@Commenter in a Box but.. He's playing a piano???? *confusion*
I don't think you need a PhD to google the Fibonacci sequence
Incredible. I have used this as a music lesson for the classes I teach. Thank you.
🎵 This is the song that never ends...
Yes it goes on and on my friend... 🎵
Now I want to know what pi sounds likes, and e.
Pi as music th-cam.com/video/HV1-AjwDJwM/w-d-xo.html
Tippy Magoo great question
This same user has done so:
th-cam.com/video/OMq9he-5HUU/w-d-xo.html
I am insterested in this in hexadecimal form
@@haronka octane
nine
deca
septa
hexa
penta
quadrupling
thrice
binary etc
so many things are there
*when simple endless addition is better at writing melodys than you*
That part though! It violates rules taught in classical music theory due to jumps that aren't usually favored, but for contemporary classical aaaah fck it it works😜
Lemme fix it... *When a basically pseudorandom melody sounds better than one written by you.* (Playing digit by digit makes it pseudorandom).
@@MCMaterac
I hear an echo of pointlessness.
It's because it's all in the same scale.
Pretty sure it sounds good because of the creative liberty taken into the harmony and melody; only the main scale is based on the Fibonacci sequence.
What works, works. Do not think about it.
Wow, David, didn't know you played piano so beautifully. I imagined I was at a memorial and you were playing that piece for our hero. Wow so beautiful, musical, mathematical, emotional, just what I needed.
This is why we like music, why notes, everything is constructed the way it is and is pleasing to us. I often think about these types of things; I love this guys’ simple profundity at just laying it out the way he did!
You can make music out of anything if you add harmonizing notes like he did
Yea i wanted to hear it without the harmonizing notes. Kinda disappointed.
@@CaptainMyCaptain33 dude.. what.. 😂😂
Right.. it sounds harmonious just because he is adding notes.. otherwise the numbers are just randomly dispersed.
Exactly
Yeah this was a total cheat. I’d like to hear the right hand alone and see how well it creates music
Sometimes TH-cam has a good idea when it decides to show me something.
Same
Yeah, I like this stuff. But oddly, I've been getting multiple recommendations for how to make my own butter, San Francisco travel tips, and proper bicycling gear ratios. None of which I have any interest in, or have viewed.
Man I wish I could like this video a million times, every time it bring about the most positive emotions inside me. Thank you so much for bringing this together❤️
this is absolutely a joy to watch and to listen to...a musical manifestation of nature itself
when you love music but you enrolled in an engineering school
Music degree programs are heavily math based too, they just have a lot of performance/producing. But engineering still has theses, so it's a similar amount.
Steve Jobs loved literature and science, apparently it's a good mix! 😉
I’m switching to be a music major from computer science and engineering! Do what you love🤙🏼
Ha SAME. Too late to change now, I’m about to graduate in less than year and get a career in something that will never satisfy me like music does but whatever pays the bills and makes the fam happy...i know I know, not a good way to live life. But you know, maybe I can find a way to merge music and STEM in a way that hasn’t been done before.
@@viniciusguedesdossantos2905 True true and tbh I don't actually hate STEM. I mean it wasn't my first choice but there are many really incredible real world applications and I don't want the bad experiences from college to ruin what the field actually is. Especially the field I’m going into, there are applications in gene editing and other upcoming issues in the field of medicine and ethical issues concerning it, so it’s actually really exciting. I think school sometimes takes away from the excitement of certain fields.
“Mathematics is the alphabet with which God has written the universe”
-Galileo Galilei.
I'm glad someone else has mentioned him.
Yes God is the MASTER PHYSICIST
how come ?, if Galileo was burn in order to proving science to the churches ?
@@kurniasormin806 dude please it wasn't burned. Second, there were several trials where he tried to prove his theory. It wasn't like that back then. newsroom.ucla.edu/releases/the-truth-about-galileo-and-his-conflict-with-the-catholic-church
God is best explanation of this. Why else would such structure exist in a seemingly random universe?
EDIT: I realize that the design argument is weak when presented like the way I did. I apologize.
This is so great. It sounds so beautiful. It's always so intruiging to wonder how certain patterns would sound as music
Please put this on your spotify! Four years later it still gets stuck in my head sometimes!
I really don't care if it's right or not, the idea of putting one of the worlds most famous mathematical sequence, into musical notes, is simply brilliant. Even if it was just to act as the spark to this beautiful piece of music. The fact that he eventually made this into what it is, merely points out to me that he's probably a great musician, with an even greater open mind. I like it... Keep it up!
Well, it wasn't an act.
This is the actual notes to numbers correlation.
He only added the harmony (the chords)
A
@@FoxyBoxery and rhythm
Talk to Princeton Maths Department Head, Manjul Bhargava. He has proved beyond doubt, that all music is combination of mathematical sequence, the ‘Pingala series’ or Europeans commonly know it as Fibonacci sequence. Indian mathematician codified the nature’s sequence in mathematics, from where everything could be traced.
ACtually the Fibonacci sequence is in the Harmonic Series and Just Intonation
Beautiful. The next one: 'music from my DNA sequence'
Or how about: "music from my bowel movements." Butthoven's turd symphony. It could really make a splash.
Electric Earth
Bruv
Electric Earth Why not mozart, he's a scatologist. Let's just say he's full of shit.
Played by a biological super computer melded into our brains.
Yesssss.
I appreciate the restart, it reminds us all How HE Loves us & gives us " Do overs" over & over.
Oh my goodness, I was honestly grinning from ear to ear; this was so beautiful to listen to! ^-^ God's creation never ceases to amaze me; it's all so beautiful and incredible. ^-^
Incredible, incredible work...you have an amazingly creative mind
Thank you!
From LDD himself, what an honor
LilDeuceDeuce woahhh what a surprise ... lildeucedeuce dude love ur music
LilDeuceDeuce How can you start this on C? It seams like it can be easier to play
I wanna listen with the number pi π or the number e sequence
Sounds good but it wouldn't without the other hand playing around with harmonies
I disagree. I think it still would have been melodic if taken at the pace it was at.
With the inflections of rests and the acelerando sections provide the tension.
This is coming from someone who musics tho
I fully agree
Yeah as a musician you can tell he is compensating for the imperfections a lot. It could be performed musicly but not on its own.
@@BrnBear all music is melodic, a bad performance of a scale is still melodic whether you like it or not.
There isnt a right way to apply the sequence. The use is almost subjectve. There are many other approaches he could have used. The Fibonacci acts as a guidance, but not even nature follows it strictly.
It is the harmonies that did the job. Just a very tallented composer with a sequence to deal with.
Man the goosebumps I got when you began playing. It was BEAUTIFUL my dude. I know this comment is late by a few years, but excellent work nontheless.
Imagine god composing the universe with this.
Yes I can
imagine indeed because he didn't
@@cWjkL8ysxOkrH66 we all will see soon enough now huh?
God only composes "prime" melodies.
You shall not
There’s something so unnatural about a guy playing a digital piano in a field.
I wish I had ThePianoGuys' budget and resources to get a grand piano out there haha! Maybe someday
ltrizzle12 ‘Mercia 😁
I thought that part was supposed to be funny. Oh, it wasn’t supposed to be funny? *____*
Thats the gist of it
Nah, it's dope
OMG!! This is the most beautiful etude, symphony, something, whatever you would call this piece. It is wonderful. I am blown away.
It's fascinating what role mathematical theories play in abstract, seemingly man-made concepts like music
I’d argue music isn’t man made. We see musical Melodies in other animals like birds, and even non musical animals can react positively when listening to a pleasant melody. It’s possible that music is strictly animal based, but it’s definitely not only related to humans
@@JackHagar that would mean that music is not created by a sense of "beauty", but by certain laws of Physics, Chemistry and Biology.
That's even more fascinating
@@paul_109 the universe is like a fractal repeating patterns infinitely collapsing in on itself chaos doesn’t exist life is a part of our universe and so the pattern of creation spirals into life
Playing this song on the piano seems like the cheat code to unlocking the secrets of the universe.
nah its an easter egg
the fact that your like is the 13th number on the fibonnacci sequence
Now play prime numbers
Great idea
I'm pretty sure it'll sound better than Schoenberg.
Pucci approves this
@@elgamer3003 I was hoping to find a reference to steel ball run but I guess this is ok
Okay but actually do this
I think your interpretation is beautiful! Thanks for sharing!
I came back here many years ago just to hear it once again. It seems to me that this sound is probably the background sound when creating the universe and all. This is fascinating.
No one:
Tool:
NOW THIS LOOKS LIKE A JOB FOR ME
Miguel Ponce Ponce you should look into lateralus and fibo
@@zeldadevideos I think they commented _because_ they have already have knowledge of it
Lateralus
Very impressive...
But can you play pi-ano? Harmonizing the digits of pi?
He did that already
he already did
He did
Take 987 of the Fibonacci sequence and get the square root of it and it's first 4 digits are the same as the first 4 of pi.
What is this, davie504’s channel?
makes me realize that improvising with random notes is like poetry, you need to know which poetic devices to use where to repeat and where to create tension or else its just random notes
I sense the grandeur of everything that grows in this music
Me: im sleepy
TH-cam: *w a n n a h e a r s o m e m a t h t u n e s ?*
Lmao
Mathematunes
Now do it in 432 Hz and you'll open a portal
@@harryagamez that was very unexpected, but well said
Harry Agámez zing!
Not really a portal. But you will become conscious of the world you are seeing now. 🤗
And play it in a minor scale then whole tones.... that will be another dimension
Harry Agámez OOOHHHHHHH
Absolutely beautiful especially the change of scenery.
Fibonocci sequence is such a beautiful art in all its forms. Pure light
For my next act, I have discovered that the DNA in each of us is actually a celestial symphony and I invented a quantum microphone that can hear them....
Yes
So u're supposed to ear the D.N.A.'s sound? It sounds like a sci-fi theory.
It's called meditation
@@su2sa1li4 quite clear Now.👍
hello there pythagoras
Me:Uses calculator for calculation.
Him:Uses piano for calculation.
ashib thapa i bet there is a system one could devise to actually do math on piano, sort of like an abacus but nothing like an abacus.
And someone used calculator to play music😂
I think this is the first ever song to be discovered, not written. Amazing.
This is beautiful. I've been listening to it for hours.
I am sure most of us didn't search for this video.
I found this video on my yt recommendation, before i clicked it, my browser I use suddenly reloaded. So I search this video
I did
I did lol
J.M. Mariano I created the intention to learn about the golden ratio thru music so here it was for me
I searched yesterday what is Fibonacci series... Now this was recommended to me
“So what’s your favorite music genre?”
“Math”
Thanks for all the likes! Never got this many.
I mean, Math Rock is a legitimate genre
Victor Munoz oh wow. I have to check that out
How do youtube likes make you feel?
Enabler I feel meh. I’m thankful and happy I made that many people happy but tbh I don’t really care.
There’s not much which is more lame than thanking people for likes on a TH-cam comment.
I’ve been here before, but a friend brought me back, and I’m glad to see this video again.
you still cease to amaze me. This melody is absolutely beautiful! keep up the great work! :))))
Scrolled the comments
Glanced back up He’s in a field now
Reading your comment
Glanced back up because of it
Indeed he's in a field now
Scrolled the comment
glanced back up he‘s in a field now
read your comment
Dad the same thing while reading your comment haha
@@demolitionwilliams7419 thanks dad
same lol
The music is so good that he got spawned in the forest out of nowhere
LMFAO
It's like in legend of Zelda
@@Colonies_Dev song of soaring 🤔
@@BUCKETHEADache I was thinking of the song you learn after forest temple in ocarina of Time xD
Lol
Wow, Thanks Mind Blown!!! I spend two years run an attic applying mathematics to music but never thought of incorporating the Fibonacci sequence. This will keep me busy for a couple years.
Another way to understand the wonderfull things in this world.
Powerfull song!
Direct following
Math should not sound this pretty
Math is actually THIS PRETTY
But it can... so deal with it. *Puts on sunglasses like a boss*
it doesn't have to, it would sound much different if he used ex. hexadecimal system
I guess so
i know how you feel about it but now we just discovered that math is truly amazing
I Guess Fibonacci also told you to pick E Major scale 😉
Right? Because Fibonacceeeeeee!
He probably tested a lot of different ways before he found E Major.
@@holly3520 You're right he's a genius D Major wouldn't be exactly the same at all 👍🏻
@@holly3520 Then Fibonaccd does not sound that great 😂
@@feuwn00256 hi I love you
It’s so nice to see that people find enjoyment in these aspects of math. I recently had to write a 4000 word essay for my high school and decided to base it off of the Fibonacci Sequence and the Golden Ratio derived from it. Although it was an interesting experience I don’t think it’s something I would ever do again as it was a gigantic pain in the ass.
Wow... what an idea! And the result is SO BEAUTIFUL !!!
I never believed my teacher when she said “math is in everything”
Oh boy how wrong I was 😂
Pythagoras said " All is number . "
Math is in regular music as well
I know same..
There's nothing mathematical about this because of the way he's doing it. He could to the same thing with literally any series of numbers because he's putting it to the notes in a scale.
My dad told me something similar, when I was seven.
This was when I secretly started fearing life.
Fibonacci has been waiting for someone to discover this.
*Nature
Tool
Tool discovered this
Xander,your comment is so inspiring!
its not actually a representation of the Fibonacci sequence
This is so cool, I had no idea you were such a talented musician as well as an amazing Tetris player!
Why is this so beautiful
More impressive is how you got your electric keyboard to work outside in the park
On battery?
or maybe playback? ;/
USB trees - they're a thing now.
My keyboard has battery 😂
Have you heard about something called the battery...
I see so many people disliking this man. Now come on! He did something creative. At least give him credit for that!
Emmanuel Winston except it's not creative! There are much better ways this could've been done!
James maynard keenan did it first and did it better
I think mentioning Fibonacci attracts detractors, though i could be wrong
No, he didnt do anything creative. He tried to apply math to music. All he did was to prove that science these days has become a "religion", trying to smear math over everything they come across. :P
its really not that creative. certainly not creative enough to warrant making a youtube video about it. its just a random number generator in e major. been done a million times before
I been trying to figure out this riddle for years.
Thank you for showing us this. 🙂
I feel mysterious beauty from this tune. Harmony of the universe. The sound of heaven. I always come back to this place. The universe welcomes us back.
I love how you transported into the garden haha
ArtofDylan but is that *really* a garden
"hey guys vsauce here"
Can you play 10÷3 ?
I Just Looking For a Warm hahahahaha this is great
Actually you could... It depends on how you would apply it.. you could apply it to the tuning ratio of the strings on the piano keys.. or rhythmically, or chordal or intervallic ratios too. Actually whatever number you can think of even imaginary ones , they can all b represented with music in some way
yea just tune the 10th a 0.1 reapeating down and there ya go
Just replay 0:53 as much as you'd like
I'm pretty sure it's gonna be boring lul
For some reason I wish I could just hear :50 to 2:05 over and over in a loop. I'm not sure why, but that part really touches my heart.
This is literally the song of life. It made me tear up. Beautiful
Comments:
+People who don't know music theory: "This proofs god's existence bla bla bla"
-People who know music theory: "This will work on any sequence because every note is in E major"
Well. This music isn't a proof of God obv... lol
The fact that we find in literally everywhere thought, uh is quite an incredible proof of God. It is even in your DNA o.o!
@@itech40 stop with this, always thinking that Fibonacci is everywhere because he is NOT . Nature is beautiful because it isn't symmetric, and the presence of Fibonacci in the DNA depends of individuals , so this is false
Fibonacci, as well as Mandelbrot Fractals, Pi, repeating decimals, are all instances of calculations that are the result of multiple iterations, sometimes never reaching a conclusion with a definable whole number unit. Prime numbers are interesting because they fit a specific limitation of division, not divisible by other numbers than itself or one. In either case, there is a hint of something infinite on their characteristics. The iterations could continue as long into the future as we have time to look, and the same for discovering prime numbers.
David Johnston
You seem to understand a little bit about math, let me ask you …
…where in your opinion did math come from?
türk türkoğlu
A little triggered are we?
Oh, com'on, this is just an E7+ improvisation, any sequence will sound nice.
There should be a Fibonacci sequence challenge where people assign numbers to complimentary items and film the results. Like, how about a Fibonacci cooking challenge using Italian ingredients like garlic, olive oil, Parmesan cheese, basil, tomatoes, and pasta. IMAGINE THE COMBINATIONS, WOW MATH IS AMAZING!!!
Arthur I fell for it. Tell me how it’s a trick.
@@witri9 do your research or start practising music
Doesn't this work for any key too?
Exactly, and actually, if you concentrate on just the "melody" itself, it just sounds like random notes in the scale he chose, which it kind of is.
Fantastic - added to my blog on Latin, English, and math - thank you.
Gorgeous my brother. Thank you for playing the music of divine order.
Can you play x² + 2x - 4 = 0 ?
What's the point of playing two notes?
School program, about 9 class
He could actually try by substituting x values into the equation huehue
u play the 2 root numbers of the equation
@@akhilmichael7604 interesting!!!! If we took your approach, then this equation would be a fancy way of saying the pianist must play 0 and -2; those are the roots from "x(x+2)=4," which is the same thing)... And if 0 on the scale of E Maj is d#, then here's my question: would -2 in this system be the stand in for the note of b, or would it not exist at all in this song? Just because if we stuck to how this man laid numbers out on the scale fot the Fibonacci sequence, then b should technically be equal to 5.... Yet he doesn't use negative numbers.
I remember when I first saw your pi video, my life circumstances were just like now. I feel like we’ve all come full circle.
Couldn't stop at one slice of the pi, you had to have the whole thing ;)
Rennie Ash "and Bring me done pie! I loves me some pie." Dean, to Sam
Then I guess that means you should be ready for it to spiral out of control 😉
The best and nost genius piece I've ever heard! I would put you in the same category as Bach's and friends.
Absolutely beautiful. You give me goosebumps!
SPIRAL OUT
KEEP
GOING
João Matheus came here looking for this comment #tool
Me too!
ME TOO(L)
He secretly gave us his phone number
And his Bank Acc. No. with all PIN's numbers also plus date of birth and end of World date.
Thanks for this video! Mathematics was my poorest and least liked subject in school. I am especially fond of music and nature. It's intriguing that this Fibonacci principle seems to appear in everything!