Desmos Music Series: Fun Glissandi
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- เผยแพร่เมื่อ 7 ม.ค. 2022
- NOTE: IF YOU WANT TO SEE ALL THE GRAPHS PLAYED TOGETHER, CHECK OUT YEONG L'S VIDEO, • Playing the Fun Glissa...
These are some fun graphs I came up with. Here's the link, and let me know which is your favorite! www.desmos.com/calculator/tcw...
Also, I switched from kdenlive to Shotcut, so maybe that'll improve the video editing quality? Who knows
Unofficial fan Discord server: / discord - เพลง
I was waiting for the thumbnail's sound (all combined) what a fool 😂
I was still curious what it will sound so I did it by myself. Thanks for posting the desmos link!
th-cam.com/video/gSLH13INBWk/w-d-xo.html
Hahahaha unfortunately Desmos can't play more than one graph at once, so I didn't bother to play them all together. Your video is so funny though hahahahahahaha
@@erictao8396 Wish they had the feature so we can do chords in desmos. Thanks for watching my video!
@@yeong126 We'll have to stick with video editing for now :(
@@yeong126 wow that sounds haunted
id love to see a game show "guess the equation from the desmos sound"
LOL that'd be fun, neat video idea :)
that’s gonna be too hard
It'd have to be multiple choice, though...
@@EpicBanana1560 depends on the sound
There's now a "guess the equation from the graph"
This makes me laugh, I don't know why
I love the squiggly ones lol, they sound so funny
Same
o0o0oOoO *oOoOo0o0* o0o0oOoO *oOoOo0o0*
@@TaoDragon_ when you take a musical note and start throttling it lol
The step function was a great punchline
Landlord: the house is definitely not haunted
The house: 0:47
0:53
0:52 Monday
0:47 Tuesday
0:41 Wednesday
0:35 Thursday
0:24 Friday
0:06 Saturday
0:12 Sunday
1:16 The Fire Storms of April season
LOL I love it, that's so creative
What does this mean
@@welldoitlive8769 how fast each day goes
@@erictao8396 more like sunday and saturday 1:12
@@welldoitlive8769 I gotta be honest, I just picked graphs that emit the same kinda 'feeling' as the particular day of the week. It definitely will be different from person to person
0:12 THX sound
too true
Couldn't be more exact
Wait why are you here?
0:52 sound like a ghost is haunting me
Hahaha maybe check the dark corners of your house :)
Exponential definitely sounds the most natural glissando (other than chromatic of course)
I wonder what function best approximates a natural glissando! I imagine you could get a recording of a string player and then analyze the frequencies in Audacity or something similar.
Probably because of how we perceive notes. When we go up an octave, we're doubling the frequency.
For example, if A=440Hz, 880Hz is still A (an octave above).
If we multiply it again, we obtain again A.
You can clearly see that this has something to do with 2^x.
Let's take again A=440Hz and let's say x is time.
A*2^x gives us A every time x=natural number.
Then, if we use 2^x we'll hear something that sound "linear" to us!
(Actually this works for every exponential function, it will be just faster. It will be something like y=a*x to our ears)
@@LucaskrillHC This is all 100% true! However, Desmos uses "note space" instead of "frequency space" to convert the graphs to audio (for example, increasing the y in this graph makes the note go one half step higher), so what you're getting with the exponential graph is really an exponential on top of an exponential in terms of frequency. I suspect that there must be more going on here behind what makes a "natural" glissando: I feel like it must be a cultural phenomenon, and I would be interested in finding out how glissandi vary across cultures.
Maybe it had something to do with the fact that our brain works logarithmically
@@erictao8396 Very neat video! I think analyzing the frequencies is somewhat tricky. The way we analyze frequencies is with a Fourier Transform (sorry if I'm telling you something you already know; seeing as you're making graphs of the Weierstrass Function in Desmos, it seems like you're probably a math guy, but that's why I also thought you'd be interested). It tells us how much of each frequency a signal is made of. However, when we do this, we are assuming the signal is periodic, so it only works well when we are sampling a pitch that isn't changing.
Since the "frequency" of a glissando is constantly changing it isn't truly periodic at all, and so the Fourier Transform of that signal will be kind of messy. The glissando will be more "approximately periodic" the shorter we sample the glissando for because the pitch won't have changed as much in the short period of time, so it will be at a more constant frequency. But the resolution of the frequency spectrum is 1/(the period of measurement), so as we sample for a shorter period of time we won't be able to detect very small changes in frequency (a 1.0 second sampling period corresponds to 1 Hz resolution; a 0.1 second sampling period corresponds to a 10 Hz resolution).
It's possible, though, one would be able to find something interesting by doing something clever (maybe by looking at where the Fourier Transform "starts and ends" a series of repeated Fourier Transforms that each start the sample after the previous Transform; or, perhaps if you take the Fourier Transform of the whole spectrum, and if you assume the volume of the note is approximately constant as on performs the gliss, or take that into account, the amplitude of the Fourier Transform at each frequency will be proportional to the amount of time spent near that frequency.
I'm currently trying to work on a little frequency spectrum project cataloging the frequency spectra for various notes and fingerings on my clarinet (I'm still working on some software stuff for it though), so I might need to add analyzing a gliss into the works! Let me know if you're interested (or have any questions or comments regarding what I typed here), and I'll keep you in the loop.
TL;DR. Analyzing the frequencies for a glissando might be hard because the pitch changes constantly overtime, which doesn't play nice with the math we use to analyze frequencies. There might be clever ways to do it, though, and I might have a good opportunity to take a look.
The sine function sound is way too comical. That was great. This helps explain music way better for enthusiasts.
The sine functions are so fun :) I like to think the Desmos graphs are kind of similar to smalin's animations lol
If you ever release an album, you need to call it "Weird linear/reciprocal thing"
Why did I think of weird fishes/arpeggi
LOL I love that name
Or Hades OST
As a former trombone player that has played most of these irl, this was a very satisfying video
Glad you enjoyed!! Trombone is a fantastic instrument
So this is how to make Kirby’s suction/inhale. Nice.
HAHAHAHAHA didn't think about it that way
1:04 This one is the cool kid that did a glissando through the fourth dimension
xD love it
Personally I like the combination of sinusoids one :)
It was nice. My favorite is the cantor combined with the factorial as a sequence
@@noayates1 Hahahaha the Cantor function one took so long to make and it's not even a good approximation :(
0:35 if it continued it would have sounded like Chopin's heroic polonaise
LOL Chopin does love his chromatics
I was thinking The Legend of Zelda Main Theme there. th-cam.com/video/cGufy1PAeTU/w-d-xo.html at about 0:10 for reference
So I'm not the only one who thought that
1:17 i was waiting for it to play lol
oh hi :D
He edited them all together in a different video dx
th-cam.com/video/gSLH13INBWk/w-d-xo.html
Hey grooby
Check the description!
it’s gooby
It would be a good idea to specify the type of glissando on violin scores.
Hahaha usually the violinist plays it so fast anyway that it barely makes a difference :)
Linear + sinusoidal is that sound that's made when you're shaking a water bottle while filling it
wait that's actually so true XD
0:24 this is just the start to the TPOT intro
Me: Mom can we've violin
Mom: No, we've violin at home
Violin at home: Desmos
LOL
Really liked the attention to detail to make the sound move in stereo alongside the dot, that was a nice touch
Desmos does that, not me, so thank Desmos :)
Good one! I'm always amazed by Desmos stuff!
Thanks so much!! Desmos is so unbelievably versatile
wow combining your love for your two favorite things, math and music :) what a king i'm so proud
qtπ
YO THE SINOSOIDAL COMBINATION IS LITERALLY ALL HEATED SCHNITTKE MOMENTS EVER THOUGH I SWEAR HE PUT IT EVERYWHERE AND I LOVE IT SO MUCH
It’s missing the Megalovania glissando. Y’know, where it plays the first 10 notes of Megalovania in between the two notes
Especially the first ones remind me to the sound of the secret exits of Super Mario World when you put the key
I love how you made it the notes of the THX
this was the perfect video to watch at 1am thank you
No problem!
0:42 Pac-man
LOL true
“X + sin(x)” is by far the funniest
I do love that one :) I like the combination of sinusoidals one even more though
All the oscillating functions sound pretty fun :>
You tricked me, I wanted to hear them all at once :'(.
Look at the pinned comment, you can hear them all at once :)
Check out the video Yeong L posted th-cam.com/video/gSLH13INBWk/w-d-xo.html
I can assume the person who done this is a musician
Haha, yes you can check out my other videos for proof :)
@@erictao8396 will definitely do...glad to see such fusion of talent and ideas ❤ keep up
@@tri3a692 Thank you so much for the kind words!! Hope you're having a good day :)
i love electronic music and i study maths. Sometimes when i listen to some melodies i can see 'lines' bouncing and moving arround whit the rhythm. Some times i asked myself if there is any way to represent the melodies using functions, and meanwhile i was wacthing the video i said: 'Its possible!!!
Would be awesome make simple song using this tool. :))
Yeah, you can do all kinds of cool things with Desmos! Check out some of the other things in my playlist for more examples: th-cam.com/play/PLlYltssWVRe9vOW7BmghfExRg2jPMqiQH.html It's a little bit limited in terms of how long you can make the song/the range you can play/etc., but if you could get around those things somehow and add more instruments, then you could theoretically convert any MIDI file to graphs like this :)
@@erictao8396 awsomee maan :))
I've been thinking similar things! I want to try to make a program that procedurally generates MIDI commands from Taylor expanded polynomials or some Fourier equation so that I can make noise music from curves.
I think Mr. Fourier would suggest you could mathematically describe an entire symphony if you added enough sine waves together.
Some seem to be examples of portamento. The stepped one is like a run. Speed up the sigmoid and it would be the most musical of the non stepped ones (avoiding an abrupt effect at start and finish). How about also trying a rapid, stepped major scale a la the introductory clarinet slide of Rhapsody in Blue (the piano version represents this as a scale)?
Ooooh that'd be so fun hahaha I wonder if I could get the exact frequencies of the clarinet opening and then transcribe them to Desmos
I didn't know why I watched this, I don't know what I just watched but I like it. :D
I have the same feeling, I don't know why I made this, I don't know what I made but I like it :) Thanks for watching!
I'm: *trying to sleep*
Fly in the room:🦟〽️〽️〽️
It's already logarithmic on top of everything
True! :) If you think about it in "frequency space" instead of "note space" then you have to throw an exponential in front of everything, so I guess a linear route through frequency space would be if I made a logarithmic one in note space haha
During the whole video I had to think of the beginning of "the final countdown". :D
Hahahaha I wasn't even thinking about that, but you're totally right
amazing work
Thanks so much!! Like and subscribe to hear more :)
I like how the sound shifts from your left ear to your right ear
This made me laugh hysterically and im questioning my humor now
Don't question it, embrace it
Sinusoidal combinatuon: c'mon everyone sing along! Owuwowawawewowuwowa
LOL that'd be a tough one for 1st grade music class
It's all cool and serious until sine joined the lobby
LOL so true, I love the sinusoidal ones
Are the linear ones linear in frequency or in notes + cents?
Edit: got to the chromatic one, guess that answers that question (note space)
Good catch! They're linear in note space but exponential in frequency space.
It would be sick to have a version of the video where the sound pitch was based on the current slope of the function (in other words, it’s derivative) rather than the function itself
That'd be really cool, yeah! You can partly achieve this since Desmos has the ability to calculate derivatives (just type f'(x) instead of f(x)), but then, you have two graphs on the screen (both f(x) and f'(x)), which is pretty annoying.
@@erictao8396 Can't you simply hide one of the functions?
@@Oliver-wv4bd Yes, but the derivative function has to be on the screen for it to play, so you can't play the derivative audio with the original function graph on the screen unfortunately :( unless you did some video editing
@@Oliver-wv4bd I might be misunderstanding what the original commenter wanted
@@erictao8396 Ah right OK, I didn't realise that. Bit of a shame, but I suppose Desmos can't have EVERYTHING lol, it's already amazing as is ofc.
I was anticipating that they would all play at the same time
Check Yeong L's video :) The link is under the pinned comment
@@erictao8396 no link
This actually makes me think of that if it's possible to make a song out of this kinda thing. Like multiple functions on top of each other as like channels in music programs.
You totally can! Check out the other videos in my playlist
Bach incorporated a lot of math into his music. He even wrote a piece, basically on a Möbius strip (inverted notes and played in reverse) played simultaneously with the standard notes, if I’m remembering correctly.
my humor is broken, i bursted out laghing when i heard the sinusiodal combination
That one's my favorite too, heh
the fact that this was surround sound 😂
0:47 *LISZT BE LIKE*
LOL not sure you can do that on a piano, maybe John Cage or Henry Cowell instead :)
somehow this made math funny. this needs like 80 million views holy shit
Hahahaha I always love showing the spirit behind mathematics (it's no fun without the human element to it), thanks for the kind words :)
0:29 Brought to you by THX
basically, risers for EDM
Fun application :)
Towards the end sounds like my 8 month old baby sister. ESPECIALLY THE SINUSOIDALS.
LOL I feel that
Which one would be the most linear sounding?Since pitches are logarithmic would the exponential one be the “smoothest” technically?
Hey, thanks for asking the question! Human ears work by note rather than frequency, so the most linear-sounding one to human ears would be the two linear ones in the beginning. If you want an equation that would be linear through frequency space instead of note space, it would have to be a logarithm on Desmos.
POV: a mosquito is near you when youre trying to sleep
LOL hopefully the video isn't that annoying
@@erictao8396 happily it isnt
im using headphones and when it plays the rightmost points it feels like im getting tickled and start laughing lol
lol I like how the sound is a multi-dimensional sound(meaning that it goes from one headphone to the other)
That was Desmos, not me :) It's pretty cool though, no??
@@erictao8396 yea it’s cool 👌👌
Epic. I do not understand math but I do enjoy weird sounds.
Enjoy the weird sounds and have some math along with it :)
the negative and positive quadratic is a good representation that the rate of change is the same
Me: Mom can we have haunted music?
Mom: We have haunted music at home!!
Haunted music at home: 0:54
As a trombonist, I approve.
And you didn't even play all of them at once at the end.
Would've been fun to hear that noise. X3
Check the reply in the pinned comment to hear them all at once :)
0:52 sounds like the ghosts from ghost and goblins nes
I like how it has the 3d audio
THX intro is LITERALLY the inverse quadratic
I lost when the Sinusoidal started
hahaha that's when it gets hilarious for me too
The floor one gave me spider dance vibes for a sec cause of the one part
Linear sinusoidal sounds like when a little kid is doing that weird wheeze/cry thing
Love it
No one :
The phantom in your room at 3 a.m. : 0:53
I liked the sinusoidal one, that was the funniest
Is it possible to have a smooth min/max of all the curves? This thought has really peaked my curiosity.
I did (almost) all of these as warm up on trombone.
How you make function be like flat everywhere, but not in certain radius of area?
I love the chromatic floor graph cuz I like it and you please make a desmos link of this floor graph
The sinusoidal combination describes my brain during maths
Mine too
wow, the last post has really changed since I last heard it
Why is this so funny to me 😭
Yup most music is comprised of step functions because western harmony unlike rhythm is discrete. In fact, most musical disciplines feature discrete harmony with glissandos and other types of embellishments as the only actions describable with purely continuous expressions.
If VSTs could do this it would be so cool.
I lost it at 0:41. That made me laugh a lot.
I can hear SM world hidden route entrance sound.
A trombone players worst nightmare
Oh no don't give the postmodernist composers ideas
And here I was thinking you'd actually somehow combine them to create something that actually sounded like music. Oh well.
The spooky ghost one
oOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOoOo
Ghouls, ghosts and other creatures of the night: 0:46
0:54 Item Boxes in Mario Kart be like:
How do you make that diagonal sin wave
I like this
Thank you so much!
Sin reminded me of that guy and the grandma
0:54 sounds like a ghost sound from a game
The prime counting function.
So this is the Behind The Scenes of The Exalted from Hades OST
What are you doing, stepfunction?!
I was just waiting for the THX logo to pop up
They all sound like accelerating train to me
That's because of the Doppler effect! :D
Here's the rest of my Desmos playlist by the way! th-cam.com/play/PLlYltssWVRe9vOW7BmghfExRg2jPMqiQH.html
me: trying to sleep
the mosquito in my ear: