I was totally stoked when I first saw this...but applying the chromatic scale to the notes makes it modulo 12...The Fibonacci numbers are periodic modulus ANY modulo...the periods are called Pisano Periods...Interestingly enough the period of Fibonacci modulo 6 is also 24, just like for 12...perhaps the Pisano Periods are also periodic. Check out Wolfram Mathworld Fibonacci.
the Pisano Periods can't be periodic themselves, at least not in the strict sense of the word,
supose that a period p could be found, then you could add any multiple of p to some other n to resieve the same Pisano Period, but it's obvious that just by taking the multiple of p large enough that the amount of numbers smaller than this new number can be made greater than the Pisano Period, so that the alledged Pisano Period couldn't be a Pisano Period! so they aren't periodic,
You're dumb. Math you learned in elementary school can explain this. Now, if you would have said that the notes magically made Fur Elise, I'd be impressed. Put down your music 101 text and point your camera at real issues; make a documentary about government conspiracies or something.
@rgpaddler Its not your fault,its really Adobes-its playing fine now for no whatsoever.100% cpu utilisation and random stops even thou video is fully loaded seams to be their trademark
Keep in mind that the math that average people learn and know is all the math you need to figure out the basics of the essence of life. Quantum physics is the level of math that has to be used to figure out almost the entire full spectrum of the true reality of things. Things that most people don't care to think about or know, so they shut it out and go on with their lives. Numerology and advanced math holds a key. Yet, there are still other elements to be figured in....
I feel that this here is a start onto something big. Not big like some kind of god or apocalypse, but an actual finding to some of this world's biggest mysteries. People that can't understand things in deeper levels and think this is stupid might as well have forgotten they have ever watched this video and not say anything bad. "This is stupid!" "You're a retard!" "What gives? LAME LOLZ!" Overthink and overanalyze infinite possibilities. Lately SOME people just think linearly.
search in youtube for a video called "the fibonacci sequence on lateralus". talk about the same and some other things like the number of sylablles for verse are related with the sequence.
@azcolvin429 wow, this isn't any quack religion nonsense videos, this is a very interesting video about how there is a pattern in the fibbonacci series, which really doesn't have anything to do specifically with music, but which has to do with a base 12 mod system, pretty interesting number theory stuff.
This is known as modulo or modulus arithmetic. When you add 55 and 89 you only need to look at the last digits to know the last digit of the sum will be 4. So you can discard the rest of the digits and just keep track of the last digit of every number. The reason for the repetition is that there is a finite number of combinations of two digits, and whenever a sequence of two reoccurs, the rest of the sequence is bound to repeat. Your notes are just like digits, except there's 12 of them.
The reason they call it the fibonacci sequence is because it's a sequence. You've simply converted the infinite numerical values to notes, which have a finite cycle, and therefore the underlying pattern of the sequence will repeat. If you assigned a different note at the start you would get a different pattern, but the algorithm would be the same. The comment from delirius42 esentially says the same thing, I just wanted to try to elaborate.
The musical scale as we know it is simply an arbitrary categorization invented by humans. The scale would work equally well if it were split into any other number of segments. (sorry, you no doubt already know this) Just as a curiosity, I would suggest attempting the same task using different musical scales.
can you actually find the meaning of life with mathematics? i know it sounds stupid but if problems can be solved with mathematics....ok, hang on maybe i should go make myself a mocha lol
you should start work on the hidden mathematical codes in the bible next! check sorrysonofas comment for your answer :P. seriously though, thanks for wasting my time. i guess thats what i get for clicking on a "Hidden Sequence Discovered!!!!" youtube vid. *slaps his wrist*
its interesting, and if you double it up and put the first and last 12 notes together to make 12 2 note chords (like the 1st and the 13th note in the sequence go together) you get chords that are all made up of major 3rd distance between them, and doubled notes. i thaught it was pretty interesting, lots of E's and C's together. hope this is interesting to you.
modular arithmetic, of course it's going to repeat :-P it means nothing. now if you're wanting to explore new music theory, you're close. but no one has really gotten there yet ^_^
The fibonacci sequence actually starts 0,1,1, etc. However, even if you do this and apply a little mod 12 arithmetic, the sequence still repeats itself and is of length 24. The sequence is 0,1,1,2,3,5,8,1,9,10,7,5,0,5,5,10,3,1,4,5,9,2,11,1. So the sequence contains every element of the integers (mod 12) except 6, which I suppose would be an F if we're talking about a one-to-one correspondence between the C chromatic scale and the integers (mod 12). you had the right idea, but the wrong sequence.
Oh, by the way, the sequence repeats to inifinity but the notes of course are at ev er higher harmonics and therefore the series is not strictly the same....
The pattern repeats because you wrap it up: when you come to the last note of the chromatic scale, you're wrapping it again to the first. You have 12 "letters" in your "alphabet". 24 is divisible by 12, this might be some hint for you.
....I know I was probably high in my theory classes...but...why is C#=2...shouldn't the assignment go...C=1,C#=1,D=2...?? I did notice the pattern is correct at the beginning of the video...but what is the reason for your assignment?
This might because of the algorithm. It's like taking the third number and adding it to the number ahead of it. For example 3+4=7, 10+11=21,...etc.
Eventually, if you assign letters like last time, you will find a pattern. Not a similar pattern, just a pattern. Any pattern in numbers will eventual repeat a finite amount a variables attached.
1.618033 is also known as the word PHI (pronounced FEE) two very good examples are the number of females bee divided by the number of male bees is equal to PHI. the same from the top of you head to the floor divided by the distance from the belly button to the floor. PHI/1.618033 is also known as the natural ratio aswell as the Golden Ratio please leave a reply
the Fibonacci Sequence is used to study growth such as the bee example you provided. the number is close to Phi, but it isn't Phi. it is a common mistake for people to confuse Phi/Golden Ratio with the Fibonacci Sequence. only relation they have is that if you find the ratio of the numbers in the sequence they will approach Phi but will never actually equal Phi.
fibonacci numbers repeat with a pattern under a modulus of any number, not just twelve (the number of different notes in a western octave). hint: maybe if we multiply the fibonacci sequence by 6 we can see why all those Fs are missing from the main repeating sequence ;)
yeah, but then ALL the odd numbers would disappear! ;) I did a little looking into this myself, and discovered what you said. A modulus of any number will repeat, and I'm looking into it a little more: Mod 1 - all 0s. Mod 2 - repeats at 2 mod 3 - repeats at 8 mod 4 - repeats at 6 5 -- 20 6 -- 24 7 -- 16 8 -- 12 Now, can you explain why they repeat at these intervals?
Very interesting... I'm not sure, since the Fibonacci sequence isn't necessarily tied in with random number sequences like prime numbers, but it's very intriging to say the least.. I'm fascinated with the Fib seq. and have used it a bit in my music..it creates very interesting tunes if you apply it well.
Umm,Does no one Know That BT is a Genius and Thinks Of Every little Thing while Creating His Music??? If you've ever seen how he works,you'll Know That He Inputs Little Things that the Average Person Would Never Notice.
i obviously cant prove that harnessing sound waves to change resonance vibrations to push away from the earth. But if you or someone you know has the tools to test it. id love to know if i figured out some lost piece of knowlegde.
With that said, the Egyptions also used sound resonance. could the the mathmatical algorithm needed to manipulate the resonance of and object, or to use an object to amp the resonance through like an obelisks. Possibly the ability to temporarily change the resonance of say, a big stone for a pyamid making it act as a magnet which if tuned right could become aligned opposite to the earths magneticfield aka gravity. thus anti grav.
i obviously cant prove that harnessing sound waves to change resonance vibrations to push away from the earth. But if you or someone you know has the tools to test it. id love to know if i figured out some lost piece of knowlegde.
well i may i an insight to this atleast. ive researched into history a great deal. One thing I came across was the ancient greeks who are known for mathmatics, also respected musicians, debaters(argures), astronomers, and artists. They relized everything was connected. Frequency waves, From the univers make up everything. and music is just that, gods gift to us, sound and the ability to manipulate it.
its arpeggios
bradMdrums 4 months ago
@rgpaddler You asked what is the significance of this finding, I think i know.
God is telling us F off.
kirock747 6 months ago
cool video!
PlatoDNA 9 months ago
I am a student of Fibonacci but I don't hear anything in that string of tunes that gives me pause. Am I missing something I should hear?
bgkrider 1 year ago
What the F? F got F'd again
onedollarwill 1 year ago
I was totally stoked when I first saw this...but applying the chromatic scale to the notes makes it modulo 12...The Fibonacci numbers are periodic modulus ANY modulo...the periods are called Pisano Periods...Interestingly enough the period of Fibonacci modulo 6 is also 24, just like for 12...perhaps the Pisano Periods are also periodic. Check out Wolfram Mathworld Fibonacci.
phispire 1 year ago 2
@phispire
the Pisano Periods can't be periodic themselves, at least not in the strict sense of the word,
supose that a period p could be found, then you could add any multiple of p to some other n to resieve the same Pisano Period, but it's obvious that just by taking the multiple of p large enough that the amount of numbers smaller than this new number can be made greater than the Pisano Period, so that the alledged Pisano Period couldn't be a Pisano Period! so they aren't periodic,
ImaginaryMdA 8 months ago
Oh. I thought that at 0:31 to 0:34 said (in other audio video) *Random number* E+600
steamsword1 1 year ago
You're dumb. Math you learned in elementary school can explain this. Now, if you would have said that the notes magically made Fur Elise, I'd be impressed. Put down your music 101 text and point your camera at real issues; make a documentary about government conspiracies or something.
teejaytiger 1 year ago
@teejaytiger
thanks for your interest.
rgpaddler 1 year ago
fail video wont play
Buzzlybonk 1 year ago
@Buzzlybonk
see audio version..thank you
rgpaddler 1 year ago
@Buzzlybonk
apologies - see other version.thank you
rgpaddler 1 year ago
@rgpaddler Its not your fault,its really Adobes-its playing fine now for no whatsoever.100% cpu utilisation and random stops even thou video is fully loaded seams to be their trademark
Buzzlybonk 1 year ago
VERY interesting!
pollak40 1 year ago
@pollak40
hopefully...thank you
rgpaddler 1 year ago
This video pollutes youtube with its unnecessaryness.
ashleylovesdaddy 1 year ago
@ashleylovesdaddy
I've seen more pointlessness in plenty more videos.thank you
rgpaddler 1 year ago
@rgpaddler So have I, but my point still stands.
ashleylovesdaddy 1 year ago
no sound fail
greenstarcoatings 1 year ago
@greenstarcoatings
see audio version - thank you
rgpaddler 1 year ago
Because Fibonacci thought F was a bastard note that should never be played, that's why.
vaibanez17 1 year ago 3
@vaibanez17
haha thanks
rgpaddler 1 year ago
@vaibanez17 @rgpaddler 24 period pattern is in Phi itself. It's mirrors of nine, triplets of three, and six overall. 112,358,437,189//887,641,562,819
goldennumber net/fibonacci24.htm
It relates to the prime sums around the 24th of a circluar clock too m'dear boy, square by 101 103 107 109~191 193 197 199.
105 by 195 is through prime sequence numbers 27.5 by 44.5 which we all know is roughly phi which gives us the jollies ;-)
Leave it to the blood, this knowledge is still passed down.
TehNewV 5 months ago
Keep in mind that the math that average people learn and know is all the math you need to figure out the basics of the essence of life. Quantum physics is the level of math that has to be used to figure out almost the entire full spectrum of the true reality of things. Things that most people don't care to think about or know, so they shut it out and go on with their lives. Numerology and advanced math holds a key. Yet, there are still other elements to be figured in....
ja0401 1 year ago
I feel that this here is a start onto something big. Not big like some kind of god or apocalypse, but an actual finding to some of this world's biggest mysteries. People that can't understand things in deeper levels and think this is stupid might as well have forgotten they have ever watched this video and not say anything bad. "This is stupid!" "You're a retard!" "What gives? LAME LOLZ!" Overthink and overanalyze infinite possibilities. Lately SOME people just think linearly.
ja0401 1 year ago
no sound? really? fail
MARLBOROS4MONKEYS 1 year ago 9
@MARLBOROS4MONKEYS
see audio version.thank you
rgpaddler 1 year ago
search in youtube for a video called "the fibonacci sequence on lateralus". talk about the same and some other things like the number of sylablles for verse are related with the sequence.
benjafido 2 years ago
omg wow you discovered music notes! Who knew those existed parallel to fibonacci! :D The lord jesus christ must be real! Its so convinving!
azcolvin429 2 years ago
@azcolvin429 wow, this isn't any quack religion nonsense videos, this is a very interesting video about how there is a pattern in the fibbonacci series, which really doesn't have anything to do specifically with music, but which has to do with a base 12 mod system, pretty interesting number theory stuff.
DarthPickley 1 year ago
This is known as modulo or modulus arithmetic. When you add 55 and 89 you only need to look at the last digits to know the last digit of the sum will be 4. So you can discard the rest of the digits and just keep track of the last digit of every number. The reason for the repetition is that there is a finite number of combinations of two digits, and whenever a sequence of two reoccurs, the rest of the sequence is bound to repeat. Your notes are just like digits, except there's 12 of them.
thomasnygreen 2 years ago 2
The reason they call it the fibonacci sequence is because it's a sequence. You've simply converted the infinite numerical values to notes, which have a finite cycle, and therefore the underlying pattern of the sequence will repeat. If you assigned a different note at the start you would get a different pattern, but the algorithm would be the same. The comment from delirius42 esentially says the same thing, I just wanted to try to elaborate.
elysium735 2 years ago 3
The musical scale as we know it is simply an arbitrary categorization invented by humans. The scale would work equally well if it were split into any other number of segments. (sorry, you no doubt already know this) Just as a curiosity, I would suggest attempting the same task using different musical scales.
delirus42 2 years ago
im gonna try that of different scales and tell you in a few days how did it go..
keselekes 1 year ago
Comment removed
delirus42 2 years ago
Math is just an artifact of our limited cognitive ability.
The only meaning is what we assign to it.
But we should all learn it, use it and improve upon it, it is our best mental TOOL.
EveryHumanBeing 2 years ago
you say limited as if we've seen something more powerful than our own minds.
deltro 2 years ago
We do... it's called artificial intelligence.
EveryHumanBeing 2 years ago
that's yet to be shown.
deltro 2 years ago
Ohhh, its already there, you just cant communicate with them and vis versa, and its progress is exponential and unavoidable.
Can you outperform a calculator? A computer?
Is your photographic memory better than a digital camera?
The Turing test is not the only measure of intelligence, that's just a measure of humans being able to fooled.
math should teach you to think out real life problems from all angles. It's not just about measuring the world and crunching numbers.
EveryHumanBeing 2 years ago
thats not how it is taught
frogprince81 2 years ago
TOOL IS AMAZING
finishingchief1 2 years ago 9
um...k...
zyph4lights 2 years ago
@finishingchief1
I agree - thank you
rgpaddler 1 year ago
can you actually find the meaning of life with mathematics? i know it sounds stupid but if problems can be solved with mathematics....ok, hang on maybe i should go make myself a mocha lol
littlesailboat 2 years ago
YES! The meaning of life and dun dun dun... even GOD YES GOD! is within the patterns that exist within everything
sk8888ordie 2 years ago
yah u probably could, or u could just read the bible
popshuvitskater 2 years ago
if in your hypothesis F=6 and it is the only note that is not excluded, is because 6 is a perfect number.
and it has certain interesting characteristics. search for "perfect numbers"
cruzcam 2 years ago
The 12-tone scale has no mathematical significance in this sense. You should compare it to just intonation instead.
whygreen44 2 years ago
you should start work on the hidden mathematical codes in the bible next! check sorrysonofas comment for your answer :P. seriously though, thanks for wasting my time. i guess thats what i get for clicking on a "Hidden Sequence Discovered!!!!" youtube vid. *slaps his wrist*
JayDay111 2 years ago
lol :)
jameslikebond 2 years ago
And then you hear Lateralus from Tool and find yourself stunned.
pchelicazolja 2 years ago 2
its interesting, and if you double it up and put the first and last 12 notes together to make 12 2 note chords (like the 1st and the 13th note in the sequence go together) you get chords that are all made up of major 3rd distance between them, and doubled notes. i thaught it was pretty interesting, lots of E's and C's together. hope this is interesting to you.
morningsweet666 2 years ago
modular arithmetic, of course it's going to repeat :-P it means nothing. now if you're wanting to explore new music theory, you're close. but no one has really gotten there yet ^_^
Lifsun 2 years ago
The fibonacci sequence actually starts 0,1,1, etc. However, even if you do this and apply a little mod 12 arithmetic, the sequence still repeats itself and is of length 24. The sequence is 0,1,1,2,3,5,8,1,9,10,7,5,0,5,5,10,3,1,4,5,9,2,11,1. So the sequence contains every element of the integers (mod 12) except 6, which I suppose would be an F if we're talking about a one-to-one correspondence between the C chromatic scale and the integers (mod 12). you had the right idea, but the wrong sequence.
Dannicthemanic 2 years ago 3
its a definite integral with ILATE
fiberzoptixz 2 years ago
What is the significance of this?... (expecting a very good answer)... I have absolutely no idea... hahaha, very funny!! hahaha...
crguti 2 years ago
Oh, by the way, the sequence repeats to inifinity but the notes of course are at ev er higher harmonics and therefore the series is not strictly the same....
COBEWMAP 2 years ago
A see a lot of verbage but no hard facts
a) By setting the Fibonacci number against the repeating scale you are altering the number base to 12.
b) Using F1=1; F2=2; F3=3; F4=5; F5=8......F23 is 46368 an EXACT 12
c) F24=C=1 and F25=C=1 The important point is the two "ones".
f) F26 = F25+F24 or F24+F23+F24 = 2 as F23 is an EXACT 12
and
F47 is also an EXACT 12 therefore F48 and F49 are again "1's"
the series repeats to infinity
COBEWMAP 2 years ago 2
... anyone who knows arithmetic mod n knows why the fibonacci is periodic. There's no mystery whatsoever.
sorrysonofa 3 years ago 2
That was a great explanation. On behalf of him, I thank you for your courtesy.
demolishmentor7 2 years ago
has anyone tried to play that on piano? it'd sound pretty cool.
Ogilvy12 3 years ago
n/m sry
midinerd 3 years ago
oh... and if you look closer... it only repeats for about 4 entries. it doesn't really repeat :(
midinerd 3 years ago
You don't have to make some ridiculous look-up table.
chromaticscale[Fibbonaci_number%12];
or
scale[fibonacci_number%scale.length];
...
midinerd 3 years ago
where can i hear the mp3? i tried to followe instruction at the end of your video but got nowhere
macupausini 3 years ago 3
This comment has received too many negative votes show
maybe there's no F because it's too busy being used in the sentence "IT'S WTFBOOM TIME!!!!!!"
ITSWTFBOOMTIME 3 years ago
This comment has received too many negative votes show
sucks
homosagainst 3 years ago
The pattern repeats because you wrap it up: when you come to the last note of the chromatic scale, you're wrapping it again to the first. You have 12 "letters" in your "alphabet". 24 is divisible by 12, this might be some hint for you.
Saskachewan 3 years ago
Where's the sound ?
chlee0902 3 years ago
....I know I was probably high in my theory classes...but...why is C#=2...shouldn't the assignment go...C=1,C#=1,D=2...?? I did notice the pattern is correct at the beginning of the video...but what is the reason for your assignment?
Different tone solution?
FRAKH
TheCrookedFinger 3 years ago
I think you will find a better solution when you formulate the chords.....
Frakh
TheCrookedFinger 3 years ago
This might because of the algorithm. It's like taking the third number and adding it to the number ahead of it. For example 3+4=7, 10+11=21,...etc.
Eventually, if you assign letters like last time, you will find a pattern. Not a similar pattern, just a pattern. Any pattern in numbers will eventual repeat a finite amount a variables attached.
Xteaphn 3 years ago
watch donald duck in mathemagic land...
on the music part, you might pick up the reason for this...
serandlya 3 years ago
Love that movie, haha
mysteryhawk21239 3 years ago
best part of math class!
serandlya 3 years ago
Waaaaaaay too much spare time....
fenderjack 3 years ago
This should have sound.
LeKryon 3 years ago 2
what's wierd.. and i need to check it out still, is that 'f' is the note of 'OM'.. gonna investigate
clemmy33 3 years ago
hidden dick in my pants ...
asajasdnfo 3 years ago
1.618033 is also known as the word PHI (pronounced FEE) two very good examples are the number of females bee divided by the number of male bees is equal to PHI. the same from the top of you head to the floor divided by the distance from the belly button to the floor. PHI/1.618033 is also known as the natural ratio aswell as the Golden Ratio please leave a reply
James
jimmyjammybobfreddy 3 years ago 2
the Fibonacci Sequence is used to study growth such as the bee example you provided. the number is close to Phi, but it isn't Phi. it is a common mistake for people to confuse Phi/Golden Ratio with the Fibonacci Sequence. only relation they have is that if you find the ratio of the numbers in the sequence they will approach Phi but will never actually equal Phi.
lofy63 3 years ago 2
it looks like you explained growth
roooddy 4 years ago
Thanks for the info. Further awesome evidence of Intelligent Design in the universe.
LoricaLady 4 years ago
If you divide any two numbers in sequence, you get around 1.618033, the Golden Ratio.
For instance, the 25th and 26th numbers in the Fibonacci sequence are 46,368 and 75,025.
75,025 divided by 46,386 is 1.618033.....
the higher you go in the sequence, the closer you come to the Golden Ratio.
RexNunc 4 years ago
Everyone knows that F is a diva
RexNunc 4 years ago
because.
RexNunc 4 years ago
fibonacci numbers repeat with a pattern under a modulus of any number, not just twelve (the number of different notes in a western octave). hint: maybe if we multiply the fibonacci sequence by 6 we can see why all those Fs are missing from the main repeating sequence ;)
phodd 4 years ago
livingpicture 4 years ago
Very interesting... I'm not sure, since the Fibonacci sequence isn't necessarily tied in with random number sequences like prime numbers, but it's very intriging to say the least.. I'm fascinated with the Fib seq. and have used it a bit in my music..it creates very interesting tunes if you apply it well.
thedarkener 4 years ago
Umm,Does no one Know That BT is a Genius and Thinks Of Every little Thing while Creating His Music??? If you've ever seen how he works,you'll Know That He Inputs Little Things that the Average Person Would Never Notice.
kevinandre91 4 years ago
i obviously cant prove that harnessing sound waves to change resonance vibrations to push away from the earth. But if you or someone you know has the tools to test it. id love to know if i figured out some lost piece of knowlegde.
Terenth1 4 years ago
With that said, the Egyptions also used sound resonance. could the the mathmatical algorithm needed to manipulate the resonance of and object, or to use an object to amp the resonance through like an obelisks. Possibly the ability to temporarily change the resonance of say, a big stone for a pyamid making it act as a magnet which if tuned right could become aligned opposite to the earths magneticfield aka gravity. thus anti grav.
Terenth1 4 years ago
i obviously cant prove that harnessing sound waves to change resonance vibrations to push away from the earth. But if you or someone you know has the tools to test it. id love to know if i figured out some lost piece of knowlegde.
Terenth1 4 years ago
do u think this could possibly be what ed leedskalnin* (sry if i spelled it whrong) used when building his coral castle?
bryrebl 3 years ago
Ed used principles of Elecromagnetism to build his Coral Castle.
TenshihanQuinn 3 years ago
well i may i an insight to this atleast. ive researched into history a great deal. One thing I came across was the ancient greeks who are known for mathmatics, also respected musicians, debaters(argures), astronomers, and artists. They relized everything was connected. Frequency waves, From the univers make up everything. and music is just that, gods gift to us, sound and the ability to manipulate it.
Terenth1 4 years ago
You guys need to listen to the song "LATERALUS" by Tool. The Lead singer uses the fibonacci sequence many times. Absolutely amazing.
ERiiK98 4 years ago
Isn't it doe ray me far sew la tea doe?
bunnybooties 4 years ago
I made some big bucks overlaying axel f on pork bellies
msrouse 4 years ago
lol
ZTron57 4 years ago
Why didn't you just put the tune on this page?
EdZep123 5 years ago
I want to hear the sequence!!!
amandahannon 5 years ago
A most excellent explanation of the fibonacci sequence in music. I hope I am not the only person who can appreciate this!
Aprilshowersss 5 years ago