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The Rhythm of the Primes (no commentary) 

Marc Evanstein / music․py
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By popular demand, a 10-minute video of the big zoom out from my recent video, "The Rhythm of the Primes" ( • The Rhythm of The Prim... )!
A couple things to note: The prime numbers end up getting very low, so it becomes hard to hear them without headphones (or even with headphones). Also, you may notice is that I made the both the prime numbers and the powers of the primes numbers louder than the rest of the notes. So, for instance, 7, and 49 are louder than 14, 21, and 28. This up creating some interesting accents as the music goes on.I'm putting together a video explaining the code I used to make all of this, so look out for that!
Also, if music coding is of interest to you, consider taking my course on Kadenze.com: www.kadenze.co.... It's a beginner-friendly way to learn Python through making music, and a great way of supporting my channel while learning something interesting!

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26 сен 2024

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Комментарии : 153   
@JTByrd386
@JTByrd386 Год назад
I say this with absolute conviction: this needs to be on the next gold disc we send out of the solar system.
@aveysquarerooted1417
@aveysquarerooted1417 Год назад
oh my god YES
@higgsbosonberg4316
@higgsbosonberg4316 Год назад
I remember Carl Sagan saying that a good beacon to get anyone intelligent's attention would be a string of prime numbers... imagine sending this into space
@jasonfahnestock9494
@jasonfahnestock9494 Год назад
each prime number has one beat. this music is based on all numbers, prime or not. I'm not sure if this could communicate with an alien race.
@iesusdesus5704
@iesusdesus5704 6 месяцев назад
@@jasonfahnestock9494 wdym it's based on all numbers? the highest piano note plays every 2 beats, the second highest every 3 beats, the next one 5 beats, etc. the numbers on-screen are there to indicate the nth beat that a key plays on, e.g. the key that plays every 2 beats plays on the 2nd, 4th, 6th, 8th, etc. beats.
@Blackgaze
@Blackgaze 2 года назад
The soundtrack to a horror movie where they’re chased by Euler’s ghost.
@bonquaviusdingle5720
@bonquaviusdingle5720 Год назад
Or more like GH Hardy's
@duywin-hp7xs
@duywin-hp7xs 9 месяцев назад
:))
@darkbluemars
@darkbluemars 2 года назад
you hear this when you reach the edge of the universe.
@theQuietWire
@theQuietWire 2 года назад
Absolutely sublime. It's like descending into the Abyss and letting it consume my soul 🥲
@apuji7555
@apuji7555 2 года назад
That's the exact feeling!
@__shaun__
@__shaun__ Год назад
soul remembering who what where when it is, reaching for why 🤯
@theresa.y5221
@theresa.y5221 Год назад
Correct grammar Absolutely sublime. It’s like descending into the abyss and letting it consuming my soul 😢 NOT what *you* put.
@theQuietWire
@theQuietWire Год назад
@@theresa.y5221 Oh, I'm sorry about my capitalization. In my family, Abyss is a formal name and so I tend to automatically capitalize it.
@theresa.y5221
@theresa.y5221 Год назад
It’s ok! Mistakes are happy accidents:D
@jensknudsen4222
@jensknudsen4222 Год назад
I know that some artistic creativity goes into the selection of scale, tempo, timbre, etc., but it still blows my mind how this entirely deterministic sequence of numbers can create such a rich and complex listening experience. Truly awesome... Thank you!
@marcevanstein
@marcevanstein Год назад
Thanks! I agree: of course the musical choices I made matter, but the underlying rhythmic complexity is coming from the structure of numbers themselves.
@mistycremo9301
@mistycremo9301 2 года назад
I'd love to hear a version of this using the notes in a specific key
@prop3297
@prop3297 2 года назад
so this is explained briefly in the original video but keeping the decent in a certain key would prove impossible because eventually you’d fall below the human range of hearing. instead, whats used is an inverted harmonic series, as every note goes down based on the corresponding prime number, its frequency value is divided based on the previous frequency in the series. so as the numbers grow and the notes go down, the difference between each note gets smaller to allow the piano to divide infinitely!
@ptitemoi
@ptitemoi Год назад
@@prop3297 I think they meant rounding each result to the closer pitch in order for it to be in a specific key (since all this is just a lot of divisions).
@jimlanpheer5281
@jimlanpheer5281 Год назад
@@ptitemoi I am sure that is what they meant, but the point still stands. Any attempt to quantize these pitches into a western 12 tone system would simply completely kill the experiment, except to create a nice ostinato in the lower register 😂
@ptitemoi
@ptitemoi Год назад
@@jimlanpheer5281 What about a mix of the two then? Rounding each result to the nearest pitch of a specific key, but not completely, so the difference between two results would still be heard.
@jimlanpheer5281
@jimlanpheer5281 Год назад
@@ptitemoi If you like "extreme dissonance" then, be my guest! 🙂It would sound just terrible, each pitch in the lower octaves would be microtones apart. Remember that the Western 12-tone concept is a CONVENTION and is not the same as the naturally-occurring harmonic series.
@Schody_lol
@Schody_lol Год назад
We need a 10 hour version of this But in all seriousness, I love how from a curious and wonderful dream it quickly descends into a nightmare and then slowly transitions to a chaotic drama.
@theauggieboygamer9148
@theauggieboygamer9148 8 месяцев назад
Problem is (And you can actually observe it here towards the end) the frequencies will begin to get so low that they are no longer audible (Primes fade out at 5:20)
@t----m
@t----m 2 года назад
Marc, this sounds great! Perhaps you could try a midi Shepard tone type of thing to keep the octaves "reasonable" and the lines spinning?
@rafriley6993
@rafriley6993 2 года назад
Not only is the music amazing, but that image!! It looks like the view from an airplane - proves that there really is some hidden uniformity and beauty to primes
@marcevanstein
@marcevanstein 2 года назад
I know, I found it really striking as well when I generated it!
@jonnyleeg4058
@jonnyleeg4058 2 года назад
I agree about the uniformity. It does look like a massive curved surface
@snowiePL
@snowiePL Год назад
Looks like sea at night
@Catman_321
@Catman_321 2 года назад
bro this was as incredible to listen to as i imagined it to be! Thank you so much for making this, i can now feel myself descending the mesmerizing infinite staircase of the primes and it's so surreal
@TranquillShot
@TranquillShot 2 года назад
Took me a minute to figure out what was really going on
@Kris_not_Chris
@Kris_not_Chris Год назад
this is really cool, it's a musical description of the prime factorizations of all numbers up to some point. Which means this was probably an absurd amount of work to put together
@Kris_not_Chris
@Kris_not_Chris Год назад
also the fact that you divide the base frequency by n to produce the tones, means that the nth prime is always encoded as f/n which is a neat mathematical property of the transformation
@antoniusnies-komponistpian2172
He probably automatized it, so I doubt it was an absurd amount of work.
@Mattythebassist_
@Mattythebassist_ Год назад
Would be interesting to hear the pitches flipped so the low notes had the simpler rhythm and the high notes had more complicated rhythms
@hymnodyhands
@hymnodyhands Год назад
As someone who is into polyrhythms, and recognizes many of those are made up of a prime number of beats, this was a strange but beautiful treat... and over too soon!
@bluesfiddle
@bluesfiddle 2 года назад
The Sieve of Eratosthenes -- as music. Brilliant!
@RedStinger_0
@RedStinger_0 2 года назад
Love this experimental sound. Great math demonstration and great music.
@AspiringAuthor-mw9ri
@AspiringAuthor-mw9ri 6 месяцев назад
I'm trying to prove the Riemann Hypothesis and I got a strong gut feeling as I played this video
@roseproctor3177
@roseproctor3177 2 года назад
"im probably not autistic" i say to myself with every intention of listening to this again
@TheOne_6
@TheOne_6 6 месяцев назад
me who is: this my brain alright
@bensansum
@bensansum Год назад
Somewhere in the distance Phillip Glass suddenly feels a chill...
@Thrna_1
@Thrna_1 Год назад
I need an infinite video of the perpetual decline of the octatonic prime scale lowering out of the audible range and running out of oscillations per second until the illionth prime is a wave slightly moving and the speakers can't express the 0,03 hz in any amount of quantum bits and then
@bsku0765
@bsku0765 Год назад
This is a great minimalist piece ngl
@Desk_Neck_
@Desk_Neck_ Год назад
id name it "madness of a mathematician" something i would put to portray a math nerd losing his mind to the numbers
@MusicalScreaming
@MusicalScreaming 2 года назад
i could feel those low notes
@stephenweigel
@stephenweigel 2 года назад
Does the microtonal tuning use the harmonic series?
@marcevanstein
@marcevanstein 2 года назад
Subharmonic series! See the video linked to in the description
@nxyuu
@nxyuu 2 года назад
Basically the harmonic series but inverted
@maikbecker-sievert578
@maikbecker-sievert578 11 месяцев назад
Every prime number is the digital sum of a prime number!
@Firelucid
@Firelucid 2 года назад
yooo i need 10h of this for a flight I'm taking
@sigmaticz9499
@sigmaticz9499 Год назад
you cant. human hearing range from 20hz to 20000hz. Even if it starts to drop from the highest 20000hz, after about 10 octaves, you will reach the limit of the bass you can hear, and there are only 1024 tones, which is about 10 minutes at 100bpm.😄
@jmaioran
@jmaioran Год назад
pretty ingenius
@firstnameiskowitz8493
@firstnameiskowitz8493 Год назад
The highest prime number demonstrated here is 3083. This brings our fundamental A7 (3520 Hz) down to a C-1 (8 Hz). That is how deep it goes.
@DominoChallenge
@DominoChallenge 2 года назад
Thank you so much for making this version !
@Finity2010-ud2rl
@Finity2010-ud2rl 4 месяца назад
Once you get down there, pretty much all of the primed make almost the exact same sound
@jellojamcwg
@jellojamcwg Год назад
I'd like to hear the harmonic version, this sounds like tubular bells exorcist soundtrack
@Moiaija
@Moiaija Год назад
At some point it looks like a shore with waves in it.
@snowiePL
@snowiePL Год назад
Never gets boring 😄
@KC9UDX
@KC9UDX Год назад
The longer it goes the better it gets.
@swirlcrop
@swirlcrop Год назад
This is awesome. You could make so much music using some of these number clusters. (I did not say number series either).
@VanVlearMusic
@VanVlearMusic 2 года назад
Oh man it just keeps on going! BTW I like the panning
@vindi167
@vindi167 10 месяцев назад
it has a repeating melody, and for every iteration, it gets a new "lowest note"
@steffen5121
@steffen5121 Год назад
Sounds like an intense jazz session in at the end.
@bensansum
@bensansum Год назад
Absolutely brilliant
@bananadog111
@bananadog111 Год назад
I wonder, is the prime pattern copyrighted?
@kawcco
@kawcco Год назад
Sounds like an airplane falling out of the sky.
@NimrodTargaryen
@NimrodTargaryen 8 месяцев назад
Amazing!🎊 🎊 🎉
@mattkielas8978
@mattkielas8978 Год назад
5:09 1543 10:18 3086
@kiingnikko8832
@kiingnikko8832 2 года назад
Love it!
@Tondadrd
@Tondadrd Год назад
I am making this into a polyrhythmic game for multiple instruments :D Single player is kinda limited or hard, but multiplayer will be cool!
@4our4u
@4our4u Год назад
This sounds rather interesting, Imma check in on you in a couple month, don't disappear
@lailoutherand
@lailoutherand Год назад
​@@4our4uI pity you
@4our4u
@4our4u Год назад
@@lailoutherand Ok
@aveysquarerooted1417
@aveysquarerooted1417 Год назад
falling asleep to this
@IwinMahWay
@IwinMahWay Год назад
What are you using for visualization? Amazing work btw.
@evanpacini
@evanpacini 2 года назад
Nice! Love this!
@robertsteel3563
@robertsteel3563 8 месяцев назад
This is out of tune and hurting my OCD, but I don't care, this Is perfect!
@swirlcrop
@swirlcrop Год назад
"... like tears in rain."
@scientic1337
@scientic1337 Год назад
This is gold
@BeetMachine
@BeetMachine Год назад
This is my jam
@FebruaryHas30Days
@FebruaryHas30Days 2 года назад
Nice
@leonardodelyrarodrigues3752
What if you made a scale based on prime numbers, dividing the highest frequency by the prime numbers and adding that scale to that polyphony replacing the current one?
@geometricart7851
@geometricart7851 Год назад
9:06 and on almost has a hypnotizing quality.
@JudahBraun
@JudahBraun 2 года назад
Love this
@Dankelbowmeat
@Dankelbowmeat 10 месяцев назад
4:04looks like a beach
@a17waysJackinn
@a17waysJackinn Год назад
9:00 I just saw a question mark at the middle
@БогданПаращук-у4д
Oh, you're right, but it is small
@wolftree6365
@wolftree6365 Год назад
Would unironically bang if you made the higher primes (lower pitch) a bit quieter
@parabolaaa
@parabolaaa Год назад
so unnerving
@shoojasperbingbing9300
@shoojasperbingbing9300 Год назад
Qué buen soundtrack para una peli de thriller o terror
@xXRacer9000Xx
@xXRacer9000Xx Год назад
YES YYYYYYYYEEEEESSSSSSSSSSS
@LaGuerre19
@LaGuerre19 Год назад
Is this what they mean by "key" parties?
@StookyBill
@StookyBill 2 года назад
does this become a shepard tone? the way it's repeating itself while descending in tone once the lowest notes go off the scale the pattern is starting again from the top?
@rushunnhfernandes
@rushunnhfernandes 2 года назад
No.. It doesn't make use of the shephard tone.. The reason you feel like the pitch has risen is because the high notes keep coming in as their cycle completes.. But overall is is really infinitely descending.. See the original video.
@fabianr253
@fabianr253 11 месяцев назад
Still waiting for the jumpscare 😬
@andreywhoplaysthatcharminmusic
Пора писать приложение или vst, чтобы можно было подставлять свои звуки и темп, и чтобы видео ряд тоже присутствовал) а ещё добавить тон Шепарда и смещение по фазе. всех благ, ты клёвый!)
@redgit9905
@redgit9905 2 года назад
Nice video I like it
@Catman_321
@Catman_321 2 года назад
yooo les gooooooo
@suicideistheanswer369
@suicideistheanswer369 Год назад
It's so haunting, I love it!
@dietmarwehr9965
@dietmarwehr9965 Год назад
What about doing the same thing with Fibonacci numbers?
@marcevanstein
@marcevanstein Год назад
I have some ideas about Fibonacci numbers 🙂
@wcdeich4
@wcdeich4 Год назад
Would it be ok if I use this music in one of my videos and credit you?
@thbb1
@thbb1 Год назад
Out of curiosity, which number is reached at the end of this 10 minutes video? Also I fugured that the accented notes are the numbers that are a full power of a small number, like 2^10 or 3^5.
@JTByrd386
@JTByrd386 Год назад
Somewhere in the vicinity of 3120, based on the tempo.
@theauggieboygamer9148
@theauggieboygamer9148 8 месяцев назад
@@JTByrd386 Sounds about right
@Musitech95
@Musitech95 2 года назад
Woow geat work..
@whoeveriam0iam14222
@whoeveriam0iam14222 Год назад
put this in the description of the original video
@noreichi
@noreichi Год назад
looks like shore and the horizon
@tomkot
@tomkot Год назад
Could you do something similar with the Fibonacci sequence?
@marcevanstein
@marcevanstein Год назад
I have plans to!
@ProTheRobloxer
@ProTheRobloxer 2 года назад
this is D minor music
@woodcrawlergaming8083
@woodcrawlergaming8083 2 года назад
no
@anhtnd
@anhtnd 2 года назад
@@woodcrawlergaming8083 it started that way
@marcevanstein
@marcevanstein 2 года назад
It's interesting, isn't it, that the subharmonic series sounds that way, just like the harmonic series tends to sound major. I like the way you anticipate each new low D, and they happen less and less frequently.
@c2h3cl82
@c2h3cl82 2 года назад
No it's locrian
@anhtnd
@anhtnd 2 года назад
@@c2h3cl82 locrian *is* a minor scale because locrian's third is minor but well after the first minute it all gets chromatic anyway
@DelgonidoDargo
@DelgonidoDargo Год назад
It would sound better if you did on a pentatonic scale
@notwithouttext
@notwithouttext Год назад
every music generated without wanting to sound good would sound better if done on a pentatonic scale
@JiosX
@JiosX Год назад
@OP please make a pentatonic version of this except for every 5 digits make it an octave or diatonic higher
@yaroslavelectra7
@yaroslavelectra7 Год назад
Me gusta pero...
@rogermiller2159
@rogermiller2159 Год назад
I wonder if Philip Glass has seen this?
@bOB-je7mq
@bOB-je7mq 2 года назад
epic
@DaBlu-rok
@DaBlu-rok Год назад
at 1 point all of the lower primes will be 1 note not 0h tho
@Koiiij
@Koiiij Год назад
5:33
@JoelKotarski
@JoelKotarski Год назад
Do you know how to make this available to RU-vid Music?
@garrettshook5084
@garrettshook5084 Год назад
I watched the whole video...but out of curiosity, what was the absolute lowest note in this video? Thanks!
@stellarx20
@stellarx20 9 месяцев назад
3089, according to someone on a comment I just read
@garrettshook5084
@garrettshook5084 9 месяцев назад
I’ve listened to the whole thing, and the lowest note I could make out was somewhere around an A-1
@theresa.y5221
@theresa.y5221 Год назад
What number
@Urkinorobitch
@Urkinorobitch 2 года назад
lower... Lower... LOWER... LOOOOOOOOOOOOOOWWWWWWWWWWEEEEEEEEEEEEEEEER!
@guitaoist
@guitaoist 2 года назад
How low can you go
@jrbleau
@jrbleau Год назад
I think it's not harmonic by its very nature.
@matthewboyd8689
@matthewboyd8689 Год назад
Remove the prime numbers and it's just an up beat intro to Sherlock Holmes (or something else fancy and smart)
@al_gc1703
@al_gc1703 Год назад
This is like the sound of human decadence it’s exquisite, it’s like a nihilist seduction.
@brotundwasser
@brotundwasser Год назад
Me sometimes :
@gawys28
@gawys28 2 года назад
Is this the houseki no kuni OST?
@ojd9145
@ojd9145 Год назад
. no
@judo7001
@judo7001 2 года назад
Is it just me or does it start looking like some strange flat landscape towards the end of the video
@mmm-tacos
@mmm-tacos Год назад
for me it looks like its a primitive render from the 1980s
@brotundwasser
@brotundwasser Год назад
​@@mmm-tacos more of one from the forties
@user-jn6ho1ye8e
@user-jn6ho1ye8e 2 года назад
Nice
@antoniusnies-komponistpian2172
Actually instead of the plain harmonic series we need to divide the high frequency by each prime
@Dankelbowmeat
@Dankelbowmeat 10 месяцев назад
Sounds like a someone is trapped and has been repeating in a cycle for a long time. And is extremely angry . Bored. Sad . And playful. Like maybe God.
@Dankelbowmeat
@Dankelbowmeat 10 месяцев назад
0:38 - 0:45 looks like a huge graveyard that keeps getting bigger.
@inproductionmusic
@inproductionmusic Год назад
The sound of deep cosmic despair, adrift in an infinite ocean of primes. What an awesome concept. Love this. 🤯♥️
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