Desmos Music Series: Fun Glissandi
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- Опубликовано: 29 сен 2024
- 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...
Also, I switched from kdenlive to Shotcut, so maybe that'll improve the video editing quality? Who knows
Unofficial fan Discord server: / discord
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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!
ruclips.net/video/gSLH13INBWk/видео.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
Landlord: the house is definitely not haunted
The house: 0:47
0:53
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
0:54 Item Boxes in Mario Kart be like:
When your piano teacher tells you to play a note
Haha can't quite do this on a piano, maybe on a viola :)
@@erictao8396 ruclips.net/video/bBb2T3TwtuI/видео.html
@@dvoid4968 You can't bend pitch on a piano lol, unless you have some strange microtonal piano. The closest you could do is a white-key/black-key glissando or a really fast chromatic scale.
@@erictao8396 no I mean I’ve had several teachers who do this thing where they like play a note and then glissando their voice up to it. Kinda annoying
@@dvoid4968 Ohhh I see what you mean. Yeah, definitely annoying lol, but I'm not good at matching pitches without wavering my voice around a lot
I like how many of them sound like cats meowing
LOL I didn't even think about it like that, but now that I think about it, you're totally right
0:53 cartoons when there's a ghost
Sin ones are funny
I love those ones
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
0:12 THX sound
too true
Couldn't be more exact
Wait why are you here?
Omg Hi PuzzLego!
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
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.
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
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
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 :(
0:52 sound like a ghost is haunting me
Hahaha maybe check the dark corners of your house :)
1:17 i was waiting for it to play lol
oh hi :D
He edited them all together in a different video dx
ruclips.net/video/gSLH13INBWk/видео.html
Hey grooby
Check the description!
it’s gooby
0:24 this is just the start to the TPOT intro
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 :)
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
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. ruclips.net/video/cGufy1PAeTU/видео.html at about 0:10 for reference
So I'm not the only one who thought that
0:42 Pac-man
LOL true
It’s missing the Megalovania glissando. Y’know, where it plays the first 10 notes of Megalovania in between the two notes
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: ruclips.net/p/PLlYltssWVRe9vOW7BmghfExRg2jPMqiQH 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.
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 :)
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 ruclips.net/video/gSLH13INBWk/видео.html
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.
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
0:47 *LISZT BE LIKE*
LOL not sure you can do that on a piano, maybe John Cage or Henry Cowell instead :)
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
It's all cool and serious until sine joined the lobby
LOL so true, I love the sinusoidal ones
do the quadratic ones sound like the THX sound or is it just me? 😂
LOL I think the original sheet music for the THX sound is pretty cool too: ruclips.net/video/FUiFNwFtgoI/видео.html
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.
0:29 Brought to you by THX
Me: Mom can we've violin
Mom: No, we've violin at home
Violin at home: Desmos
LOL
Towards the end sounds like my 8 month old baby sister. ESPECIALLY THE SINUSOIDALS.
LOL I feel that
0:52 sounds like the ghosts from ghost and goblins nes
0:58 (do you) hear the people sing?
The sound is not in sync with the video for me. Unfortunate.
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 :)
“X + sin(x)” is by far the funniest
I do love that one :) I like the combination of sinusoidals one even more though
Of all videos to have out of sync audio this is not s good one
Hey! I'm not sure if it's the video editing software or not, but Desmos seems to naturally play the audio slightly out of sync (I imagine the audio feature is not really the development team's priority). I tried my best to sync it up, and the video is mostly synced up, but there's a slight artifact from recording it and editing that I'm not sure how to get rid of. If you have any suggestions, please let me know :)
Especially the first ones remind me to the sound of the secret exits of Super Mario World when you put the key
I'm: *trying to sleep*
Fly in the room:🦟〽️〽️〽️
How do you make that diagonal sin wave
Thx be like: 0:18
LOL that reminds me of this video ruclips.net/video/FUiFNwFtgoI/видео.html the THX music is actually pretty cool
GUYS, btw this fellow posted a combined version of all of the sounds:
ruclips.net/video/gSLH13INBWk/видео.html
(I swear it's not a rickroll, he actually did it)
Hahaha yes!! It's in the description :)
YO THE SINOSOIDAL COMBINATION IS LITERALLY ALL HEATED SCHNITTKE MOMENTS EVER THOUGH I SWEAR HE PUT IT EVERYWHERE AND I LOVE IT SO MUCH
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.
I wonder what it would be like to try this with dirichet function or weistrass function. Lol
See one of the two videos I uploaded today for the Weierstrass function! :)
Ghouls, ghosts and other creatures of the night: 0:46
I was hoping to hear them all combined, I'm a bit disappointed. Pretty neat anyways though
To hear them all combined, check out Yeong L's video, link is under the pinned comment :)
Where and how you get these sound effect from?
Me: It's kinda complicated
hahahahaha
Sinusoidal combinatuon: c'mon everyone sing along! Owuwowawawewowuwowa
LOL that'd be a tough one for 1st grade music class
linear plus sinusoidial sounds like my heartbeat- EHGeGHEgHEgHgeHEG-
How the hell do you even think of glissandi in desmos lmao
Musician and Mathematician I assume?
LOL yes I am indeed a mathemusician :)
i didn't even know you can make sounds with desmos. i only had to use it for school stuff. tell me how to do it please
Yes you can! It is to help blind students learn what the graphs look like. Click the graph you want to play and then press Alt+T.
basically, risers for EDM
Fun application :)
my humor is broken, i bursted out laghing when i heard the sinusiodal combination
That one's my favorite too, heh
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
I have broken humour
humor have broken I
How do you get the sound to play in Desmos?
Hey! Just click your graph and press alt+T!
who gave mathematicians acid?
0:54 sounds like a ghost sound from a game
0:35 me when I test electric piano
the fact that this was surround sound 😂
0:35 is _technically_ a portamento and not a glissando, cue the wrath of music theory nerds lmao
eric why are you showing up in my youtube recommendations
Nick why are you showing up in my RUclips comments
0:41
wooweewooweewooweewooweeeeeeeeeeeeeeeee!!!
0:47
waoWaoWaoWAoWAoWAOWAOOOOO
Is this easing styles? 😂
Did anyone else's tilt their head to this video like "wtf is this"
me
And here I was thinking you'd actually somehow combine them to create something that actually sounded like music. Oh well.
0:41 WOo wOo
U can also hear circle
They all sound like accelerating train to me
That's because of the Doppler effect! :D
My favorite? Don't make me choose!
Hahahaha true
A trombone players worst nightmare
Oh no don't give the postmodernist composers ideas
Sigmoïd Makes me feel good, dont judge me
Sigmoid is nice :)
1:11 this me (0 iq)
Sad you didn't play all of them simultaneously at the end 😭
It's played simultaneously in the pinned comment, check it out! (Also noted in the description)
@@erictao8396 OMG THANK YOU I NEEDED THAT
@@owomoxcx No problem, thank Yeong L's video editing skills :)
I love how you made it the notes of the THX
0:53 goofy ahh noises
I need the equations for these ToT pleaseeeee
The Desmos link is in the description :)
Your graphs are bad and you should feel bad. Screw you for making me think Id hear them all simultaneously.
YHE SINUSODIAL ONE
That one is so funny hahahaha
I lost when the Sinusoidal started
hahaha that's when it gets hilarious for me too
why not try the Bessel functions?
Great idea!
STOP GIVING MY PROFESSOR IDEAS!
LOL never, I will give your professor all the ideas
0:53 you sound like an opera singer
LOL *vibrato intensifies*
How do you make the sound anyways?
Desmos makes it! Click a graph and press Alt+T
Is the audio lagging behind the video for just me?
Hey! It's definitely not just you, the audio and video are out of sync. I don't know if it's Desmos, my screen recorder, or my video editor, so if you have any suggestions, please let me know :)
@@erictao8396 I'd probably end up splitting the audio and video tracks in an editor, shifting them around until it matches, rendering that, then re-uploading, Night be way to edit the existing video on youtube that I don't know about, but not sure youtube studio will let you edit that way, and even if you could, editing in youtube studio often adds its own out-of-sync problems.
(edit: spelling)
Hahah What kind of chanel is this?
The best kind!
I was half waiting for a rickroll
LOL not quite
Play them all at once you coward
Look at the description/pinned comment you coward lol, in all seriousness check out Yeong L's video it's great :)
Every graph up until Floor (Chromatic) sounded like the THX intro
lmao that schnittke reference
Imagine it being played on a flexatone :)
Audio and video are out of sync
Yeah, I can't tell if it's because of Desmos, my screen recorder, or my video editor. If you have any suggestions, please let me know :)