What does the harmonic series sound like? Hear it through this simple interactive diagram. Try it: alexanderchen.... (You can also change how many in the URL)
I dont think its a parabola... if we go onwards to the right we should see that the curve should approach the top and bottom of the screen, and parabolas dont have asyntopic behavior... I believe the curve is |y|=L(x-N)/(2x-2N+4) Where L is the length of the string/screen for even integers N which represents the Nth harmonic/string located at x=N for x greater than or equal to N. At least I think thats what the curve is... I honestly didnt really care enough to check if its accurate, but I think it looks close enough and my work made sense to me. Honestly I clicked on this video thinking it was Calc 2 related, and completely forgot about the harmonics with standing waves in physics.
You will probably be able to do this more readily than others since you're used to the sound, but if you sing a note and move your mouth from an "oooh" shape slowly to an "ee" shape, you'll hear the overtones produced from your own mouth, going through the scale! There's a singer named Anna-Maria Hefele on RUclips who explained that.
like setsuna says, all tones are made up of different stacks of overtones (except for sinewaves which are pure). a couple pure tones together might sound interesting but if you listen to multiple pure tones overlapped, you'll pretty much only hear changes in timbre. look up the missing fundamental effect for context (which works binaurally too). if you want to hear music with notes tuned to the overtones, look for just intonation, but playing that with real instruments with complex timbres won't get you any weird effects.
I compared the tones in the video with the ones generated with this tone generator: www.szynalski.com/tone-generator/. The first tone is 100 Hz which is a little bit higher than the G tone on a piano or guitar. The rest of the tones are: 200 Hz, 300 Hz, 400 Hz, and so on... So in other words, your desk seems to be tuned to 200 Hz
@@calinguga*∆* hello and thanks! Please go on !/? I didn't actually realize that tho I believe I felt it in some manner. I am now fascinated to know why and how equal tempera ment notes differ from standing wave or..harmonic resonant notes? I suppose I shall need to do some research! Can you say about more on this and or point me in a good direction!/? Thank you very much ,again wow!
Spacetime Warp If you use the harmonic series of a base note to tune an instrument, you will get a scale that is tuned to itself very well, but if you change your baseline note (changing key) it will sound totally off. We use equal temperament so that we can play in every key, with every key being just a little bit out of tune with itself as a compromise.
I figured it out. The porabolae are the relationship between the frequency and the distance in count of the note's harmonics. ie. If there are 5 vesica piscis between the outer intersections, it's 5 harmonics away from the root note.
Stringed instruments used to be tuned based on this. The ratios between harmonics were used to make certain intervals: 2:1 Perfect octave 3:2 Perfect fifth 4:3 Perfect fourth 5:4 Major third 6:5 Minor third After that, the intervals don't quite fit the twelve tone scale. The reason this system isn't used anymore is because it makes C major sound perfect, but some keys sound wildly out of tune.
If you listen carefully to those growly throat singers, within their guttural sound they are producing these overtones. I think a video on subharmonics going in the other direction could be interesting as well. I've seen a beatboxer who does subharmonics and makes an impossibly low note with his voice.
I figured it out. The porabolae are the relationship between the frequency and the distance in count of the note's harmonics. ie. If there are 5 vesica piscis between the outer intersections, it's 5 harmonics away from the root note.
People pointing out the "parabolas". Those aren't parabolas, these are hyperbolas scaled and mirrored on each other.. We have the function f(x)=1/x since with each step we go to the right the number of parts per 1 string goes up by 1.
Why do they sound "flat" at the 11th note and on? Im not saying they necessarily are. But its whee in my opinion based on what Im hearing, they just sound off and not as, smooth or pleasany on my ears. Just curious if Im the only one or ......🤔🫨😵😵💫😫😬
The tones you're probably used to hearing in music deviate from these harmonics: some to a small extent, others quite a bit. This is because modern Western music is based on a temperament system called 12-tone equal temperament. This system divides the octave logarithmically into twelve equal steps, thereby "missing" all the pure harmonic intervals except for the octave itself. 12-TET approximates well the intervals built with the numbers made of the primes 2 and 3 (meaning harmonics 1, 2, 3, 4, 6, 8, 9, 12, 16). Intervals made with the prime number 5 are also represented somewhat faithfully, which means harmonics 5, 10, and 15 should also sound familiar. 7 is quite far off of any tone in 12-TET, but it fits quite nicely into the dominant chord you know from barbershop quartets. However, harmonics 11 and 13 form melodic intervals with the surrounding harmonics and the fundamental that sound alien to a Westerner, because they are very far off any of the twelve tones in 12-TET. Plus, they don't fit well into Western triad-based harmony, because they don't form pure thirds with the other harmonics. If you are interested in hearing how these are used in actual music from Syria, give this a listen: ruclips.net/video/hpo92LHSoEc/видео.htmlsi=ZiUVrub8AF9M1uIm
The harmonic series is the set of all waves whose frequencies are whole-number multiples of the fundamental, by definition. There's an infinite number of whole numbers, ergo any given frequency has an infinite number of overtones
lmao all the wizards in the comments going "omg im trying to figure out what the parabolas are" they don't mean anything, it's literally just a product of a system where the first and last intersections are naturally shorter distances in equally sized chunks of waves when you increase the number of periods
There seems to be a parabolic shape through the troughs of the waves when you look closely
Santonio Provenzano it looks like a rainbow on its side
Concisely what I was seeing
I dont think its a parabola... if we go onwards to the right we should see that the curve should approach the top and bottom of the screen, and parabolas dont have asyntopic behavior...
I believe the curve is
|y|=L(x-N)/(2x-2N+4)
Where L is the length of the string/screen for even integers N which represents the Nth harmonic/string located at x=N for x greater than or equal to N.
At least I think thats what the curve is... I honestly didnt really care enough to check if its accurate, but I think it looks close enough and my work made sense to me.
Honestly I clicked on this video thinking it was Calc 2 related, and completely forgot about the harmonics with standing waves in physics.
@@christopherdyson1158 Thanks for your answer! It will indeed never reach the top en bottom if you go farther yo the right, so it is not a parabola...
@@christopherdyson1158
Shouldn't it be just some function of the form 1 - 1/n (for the upper branch, 1/n for the lower one)?
Wow it’s so cool how it’s literally a dominant chord
not just that, it’s also a major chord!
yeah mixolydian is basically as “major” as we can go, don’t really understand why ionian is classified as “THE major scale”
Sorry a what
On a synthesizer you can generate and hear the full series by filtering a sawtooth wave (all the harmonics) through a highly resonant filter
You will probably be able to do this more readily than others since you're used to the sound, but if you sing a note and move your mouth from an "oooh" shape slowly to an "ee" shape, you'll hear the overtones produced from your own mouth, going through the scale! There's a singer named Anna-Maria Hefele on RUclips who explained that.
The interval from the 6th to the 7th sounds like something from Ocarina of Time (or maybe Majora's Mask).
inside the great deku tree exactly what thinking about that
The parabolic shape seen between the curves at the nodes is a result of the period increasing by 1. So it’s equal to 1-1/n
Its not parabolic.
Any idea how I could hear these overlapped? I'd be interested in hearing how some of these harmonies would sound.
Depends at what volume you play the overtones
Look up fourier series, that might help
like setsuna says, all tones are made up of different stacks of overtones (except for sinewaves which are pure). a couple pure tones together might sound interesting but if you listen to multiple pure tones overlapped, you'll pretty much only hear changes in timbre. look up the missing fundamental effect for context (which works binaurally too).
if you want to hear music with notes tuned to the overtones, look for just intonation, but playing that with real instruments with complex timbres won't get you any weird effects.
You are hearing then everytime you hear a note...
All of them overlapping? Say “FFFFF”.
Rory Dillon Look up the song “Septet” by James Tenney- it’s a couple of guitars playing up to the 11th harmonic :)
I love the interval from the 6th to the 7th
Minor third. Or maybe you’re hearing a C7 chord.
@@eggie2097 technically G7 (source: i have perfect pitch) but a dominant seventh chord nonetheless
Sounds good
@@eggie2097 a subminor third.
Septimal minor third (7/6).
@@super55555mario yes
Which frequency is the second tone? My entire desk seems to resonate with it
I compared the tones in the video with the ones generated with this tone generator: www.szynalski.com/tone-generator/.
The first tone is 100 Hz which is a little bit higher than the G tone on a piano or guitar.
The rest of the tones are: 200 Hz, 300 Hz, 400 Hz, and so on...
So in other words, your desk seems to be tuned to 200 Hz
So G2 is 98 hertz but in the video, it was 2 hertz higher than G2
it's probably a room mode, not the desk
It's an octave
this sounds so pleasant
Don't mind me and the notes
1st G1
2nd G2
3rd D3
4th G3
5th B3
6th D4
7th F4
8th G4
9th A4
10th B4
11th C#5
12th D5
13th Eb5
14th F5
15th F#5
16th G5
kind of. harmonic series notes should not be confused with the usual equal temperament notes, they are not at all the same.
@@calinguga*∆* hello and thanks! Please go on !/?
I didn't actually realize that tho I believe I felt it in some manner. I am now fascinated to know why and how equal tempera ment notes differ from standing wave or..harmonic resonant notes? I suppose I shall need to do some research! Can you say about more on this and or point me in a good direction!/? Thank you very much ,again wow!
@@user-qp1jh5vm8m I like how you're encouraging us to pray but I don't think that's related to what we're talking about here
Spacetime Warp If you use the harmonic series of a base note to tune an instrument, you will get a scale that is tuned to itself very well, but if you change your baseline note (changing key) it will sound totally off. We use equal temperament so that we can play in every key, with every key being just a little bit out of tune with itself as a compromise.
thanks
It's like the sound you always here when the mall is gonna close or something
Sounds exactly like crystals & you can see clearly the arch pattern formed from left to right geometrically. Very nice!
Anyone else see the inverse parabolae
Yes. I'm trying to figure out what they are.
jes
I figured it out. The porabolae are the relationship between the frequency and the distance in count of the note's harmonics. ie. If there are 5 vesica piscis between the outer intersections, it's 5 harmonics away from the root note.
Actually it's +1, so it's 6 away.
But it's note a parabola. It's more like a log curve
Stringed instruments used to be tuned based on this. The ratios between harmonics were used to make certain intervals:
2:1 Perfect octave
3:2 Perfect fifth
4:3 Perfect fourth
5:4 Major third
6:5 Minor third
After that, the intervals don't quite fit the twelve tone scale. The reason this system isn't used anymore is because it makes C major sound perfect, but some keys sound wildly out of tune.
tickles my brain so good
Inside the Deku Tree
The forbidden notes (at the end)
Not forbidden, simply microtonal
Very useful to hear them all at the same volume. Thanks 👍
This is great!
Standing saves by hearing them !
It makes it easiest to think about this.
Love the interference pattern that’s visible.
Gave me chills
This is so awesome. Love the interactive diagram.
Sounds a bit like overtone singing or deflating an air mattress.
So satisfying
The first 4, 5, 6, sounds cool
This is super cool amazing ❤
This is so beautiful
SCP foundation intercom:
If you listen carefully to those growly throat singers, within their guttural sound they are producing these overtones. I think a video on subharmonics going in the other direction could be interesting as well. I've seen a beatboxer who does subharmonics and makes an impossibly low note with his voice.
I played a specific bass harmonic and somehow it made one of my child nephew cry
I see black horizontal parabolae facing right in the negative space. What am I observing there?
The parabolae have their origins at each middle intersection of the waves and grow by one vesica piscis each wave pair to the right.
I figured it out. The porabolae are the relationship between the frequency and the distance in count of the note's harmonics. ie. If there are 5 vesica piscis between the outer intersections, it's 5 harmonics away from the root note.
They aren't parabolas. It's two logarithmic curves intersecting, and vertically reflected.
People pointing out the "parabolas". Those aren't parabolas, these are hyperbolas scaled and mirrored on each other.. We have the function f(x)=1/x since with each step we go to the right the number of parts per 1 string goes up by 1.
Right. They're log curves.
@@PHENN7 no. log curves are something else.
@@Foxxey It's a hyperbolic curve. Two of them overlapping.
@@PHENN7 that doesn't make it log???
@@Foxxey Yup, you're right. However, log curves are visually very similar to hyperbolic ones.
I remember this sound from Prometheus and Covenant of Alien
Can you loop this for an hour …??????????
🔹 9 ~ 10 🔹
SOMEONE!!! PLEASE COMMENT TO REMIND ME THIS EXISTS.
i am reminding you that this video exists
ok
Hey look at this thing
Beautiful.
What’s the last pitch? That’s the ringing, I hear in my ears all the time.
that's musical
Why was the first octave a 5th sound ? (On the second harmonic ?)
Cool!
Sound like I just stepped foot inside the great deku tree
It's almost like a reverse Fibonacci sequence.
Why do they sound "flat" at the 11th note and on? Im not saying they necessarily are. But its whee in my opinion based on what Im hearing, they just sound off and not as, smooth or pleasany on my ears. Just curious if Im the only one or ......🤔🫨😵😵💫😫😬
The tones you're probably used to hearing in music deviate from these harmonics: some to a small extent, others quite a bit.
This is because modern Western music is based on a temperament system called 12-tone equal temperament. This system divides the octave logarithmically into twelve equal steps, thereby "missing" all the pure harmonic intervals except for the octave itself.
12-TET approximates well the intervals built with the numbers made of the primes 2 and 3 (meaning harmonics 1, 2, 3, 4, 6, 8, 9, 12, 16). Intervals made with the prime number 5 are also represented somewhat faithfully, which means harmonics 5, 10, and 15 should also sound familiar.
7 is quite far off of any tone in 12-TET, but it fits quite nicely into the dominant chord you know from barbershop quartets. However, harmonics 11 and 13 form melodic intervals with the surrounding harmonics and the fundamental that sound alien to a Westerner, because they are very far off any of the twelve tones in 12-TET. Plus, they don't fit well into Western triad-based harmony, because they don't form pure thirds with the other harmonics.
If you are interested in hearing how these are used in actual music from Syria, give this a listen:
ruclips.net/video/hpo92LHSoEc/видео.htmlsi=ZiUVrub8AF9M1uIm
A rainbow
Sounds like what you don't want to hear inside a horror movie
Reminds me of ZELDA
cool
❤
It looks funky too.
Can you please make a continuous 11th harmonic?>10 minutes?
TheCatalyst999 yeah it feels gud
So the harmonic series has 16 harmonics??
The harmonic series is the set of all waves whose frequencies are whole-number multiples of the fundamental, by definition. There's an infinite number of whole numbers, ergo any given frequency has an infinite number of overtones
Goes up exactly three octaves
Technically infinitely many, he just chose to play 16 because these notes get closer to each other FAST
I see an illusion
Same it’s like and curved arrow
Deku tree?
anyone knows the instrument?
I FINNALY FOUND THE NAME OF IT
What name
@@BGQV the name of the thing
@@tapesaucer harmonic series of c?
@@BGQV yeah, but not only in C, just the harmonic series concept.
you heard it on Rez when you use the overdrive
The last one is my sister when someone tells her no
Keep ur speaker in ur mouth...and u'll see 7th 8th 9th are very powerful 🤯
is this in 440 hertz?
krytlionytron...-
What The FFFF How Did???
Fundamental: 100 hz
Does anyone else see a a horseshoe on this image Lmao
This makes me when in dragon ball they showed the dragon balls 🤔
i love how if you rotate the video 90° and look at the intersection points, it becomes a bunch of concentric parabolas
Almost, the problem is that it will never quite actually meet any point higher or lower than any area in this picture.
They are exp/log curves.
Looks like a hyperbolic cosine caternary sideways. BRING ON THE COSHINE.
It's not. It's two reflected log curves intersecting.
1x
2x
3x
4x
5x
6x
7x
8x
9x
10x
11x
12x
13x
14x
15x
16x
E
lmao all the wizards in the comments going "omg im trying to figure out what the parabolas are" they don't mean anything, it's literally just a product of a system where the first and last intersections are naturally shorter distances in equally sized chunks of waves when you increase the number of periods
i see arches, anyone else?
Don't wear head phones
OMG
earrape, thats what it sounds like
There’s so much interference when fading in and out that I can barely hear the actual harmonics
No Radiohead fans?
no
I’m so offended by some of those notes. It’s wrong!
my ears don't like this
What does it do? It hurts your ears!!!
perosnaly i don t like this composers