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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.com/courses/compu.... 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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20 сен 2022

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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 2 месяца 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 Год назад
The soundtrack to a horror movie where they’re chased by Euler’s ghost.
@bonquaviusdingle5720
@bonquaviusdingle5720 8 месяцев назад
Or more like GH Hardy's
@duywin-hp7xs
@duywin-hp7xs 6 месяцев назад
:))
@darkbluemars
@darkbluemars Год назад
you hear this when you reach the edge of the universe.
@theQuietWire
@theQuietWire Год назад
Absolutely sublime. It's like descending into the Abyss and letting it consume my soul 🥲
@apuji7555
@apuji7555 Год 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.
@rafriley6993
@rafriley6993 Год 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 Год назад
I know, I found it really striking as well when I generated it!
@jonnyleeg4058
@jonnyleeg4058 Год назад
I agree about the uniformity. It does look like a massive curved surface
@snowiePL
@snowiePL Год назад
Looks like sea at night
@roseproctor3177
@roseproctor3177 Год назад
"im probably not autistic" i say to myself with every intention of listening to this again
@TheOne_6
@TheOne_6 3 месяца назад
me who is: this my brain alright
@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 5 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)
@mistycremo9301
@mistycremo9301 Год назад
I'd love to hear a version of this using the notes in a specific key
@prop3297
@prop3297 Год 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.
@t----m
@t----m Год 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?
@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!
@Catman_321
@Catman_321 Год 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
@AspiringAuthor-mw9ri
@AspiringAuthor-mw9ri 3 месяца назад
I'm trying to prove the Riemann Hypothesis and I got a strong gut feeling as I played this video
@bluesfiddle
@bluesfiddle Год назад
The Sieve of Eratosthenes -- as music. Brilliant!
@RedStinger_0
@RedStinger_0 Год назад
Love this experimental sound. Great math demonstration and great music.
@inproductionmusic
@inproductionmusic Год назад
The sound of deep cosmic despair, adrift in an infinite ocean of primes. What an awesome concept. Love this. 🤯♥️
@TranquillShot
@TranquillShot Год назад
Took me a minute to figure out what was really going on
@Thrlta
@Thrlta 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
@suicideistheanswer369
@suicideistheanswer369 Год назад
It's so haunting, I love it!
@bensansum
@bensansum Год назад
Somewhere in the distance Phillip Glass suddenly feels a chill...
@MusicalScreaming
@MusicalScreaming Год назад
i could feel those low notes
@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
@Urkinorobitch
@Urkinorobitch Год назад
lower... Lower... LOWER... LOOOOOOOOOOOOOOWWWWWWWWWWEEEEEEEEEEEEEEEER!
@DominoChallenge
@DominoChallenge Год назад
Thank you so much for making this version !
@VanVlearMusic
@VanVlearMusic Год назад
Oh man it just keeps on going! BTW I like the panning
@Finity2010-ud2rl
@Finity2010-ud2rl 19 дней назад
Once you get down there, pretty much all of the primed make almost the exact same sound
@judo7001
@judo7001 Год 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
@firstnameiskowitz8493
@firstnameiskowitz8493 10 месяцев 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.
@aveysquarerooted1417
@aveysquarerooted1417 Год назад
falling asleep to this
@bensansum
@bensansum Год назад
Absolutely brilliant
@evanpacini
@evanpacini Год назад
Nice! Love this!
@Firelucid
@Firelucid Год 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.😄
@jellojamcwg
@jellojamcwg Год назад
I'd like to hear the harmonic version, this sounds like tubular bells exorcist soundtrack
@stephenweigel
@stephenweigel Год назад
Does the microtonal tuning use the harmonic series?
@marcevanstein
@marcevanstein Год назад
Subharmonic series! See the video linked to in the description
@nxyuu
@nxyuu Год назад
Basically the harmonic series but inverted
@kiingnikko8832
@kiingnikko8832 Год назад
Love it!
@jmaioran
@jmaioran Год назад
pretty ingenius
@maikbecker-sievert578
@maikbecker-sievert578 7 месяцев назад
Every prime number is the digital sum of a prime number!
@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
@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).
@snowiePL
@snowiePL Год назад
Never gets boring 😄
@antoniusnies-komponistpian2172
Actually instead of the plain harmonic series we need to divide the high frequency by each prime
@JudahBraun
@JudahBraun Год назад
Love this
@KC9UDX
@KC9UDX Год назад
The longer it goes the better it gets.
@scientic1337
@scientic1337 Год назад
This is gold
@Moiaija
@Moiaija Год назад
At some point it looks like a shore with waves in it.
@BeetMachine
@BeetMachine Год назад
This is my jam
@steffen5121
@steffen5121 Год назад
Sounds like an intense jazz session in at the end.
@vindi167
@vindi167 7 месяцев назад
it has a repeating melody, and for every iteration, it gets a new "lowest note"
@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 9 месяцев назад
This sounds rather interesting, Imma check in on you in a couple month, don't disappear
@lailoutherand
@lailoutherand 9 месяцев назад
​@@4our4uI pity you
@4our4u
@4our4u 9 месяцев назад
@@lailoutherand Ok
@NimrodTargaryen
@NimrodTargaryen 5 месяцев назад
Amazing!🎊 🎊 🎉
@redgit9905
@redgit9905 Год назад
Nice video I like it
@Dankelbowmeat
@Dankelbowmeat 6 месяцев назад
0:38 - 0:45 looks like a huge graveyard that keeps getting bigger.
@IwinMahWay
@IwinMahWay Год назад
What are you using for visualization? Amazing work btw.
@FebruaryHas30Days
@FebruaryHas30Days Год 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?
@fefenex8110
@fefenex8110 Год назад
I wonder, is the prime pattern copyrighted?
@robertsteel3563
@robertsteel3563 5 месяцев назад
This is out of tune and hurting my OCD, but I don't care, this Is perfect!
@Musitech95
@Musitech95 Год назад
Woow geat work..
@swirlcrop
@swirlcrop Год назад
"... like tears in rain."
@mattkielas8978
@mattkielas8978 Год назад
5:09 1543 10:18 3086
@kawcco
@kawcco Год назад
Sounds like an airplane falling out of the sky.
@wolftree6365
@wolftree6365 Год назад
Would unironically bang if you made the higher primes (lower pitch) a bit quieter
@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!)
@shoojasperbingbing9300
@shoojasperbingbing9300 Год назад
Qué buen soundtrack para una peli de thriller o terror
@Dankelbowmeat
@Dankelbowmeat 6 месяцев назад
4:04looks like a beach
@geometricart7851
@geometricart7851 Год назад
9:06 and on almost has a hypnotizing quality.
@LaGuerre19
@LaGuerre19 Год назад
Is this what they mean by "key" parties?
@StookyBill
@StookyBill Год 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 Год 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.
@wcdeich4
@wcdeich4 Год назад
Would it be ok if I use this music in one of my videos and credit you?
@bOB-je7mq
@bOB-je7mq Год назад
epic
@xXRacer9000Xx
@xXRacer9000Xx Год назад
YES YYYYYYYYEEEEESSSSSSSSSSS
@fabianr253
@fabianr253 8 месяцев назад
Still waiting for the jumpscare 😬
@Catman_321
@Catman_321 Год назад
yooo les gooooooo
@parabolaaa
@parabolaaa Год назад
so unnerving
@a17waysJackinn
@a17waysJackinn Год назад
9:00 I just saw a question mark at the middle
@user-wp9xx3jf3x
@user-wp9xx3jf3x Год назад
Oh, you're right, but it is small
@whoeveriam0iam14222
@whoeveriam0iam14222 Год назад
put this in the description of the original video
@JoelKotarski
@JoelKotarski Год назад
Do you know how to make this available to RU-vid Music?
@tomkot
@tomkot Год назад
Could you do something similar with the Fibonacci sequence?
@marcevanstein
@marcevanstein Год назад
I have plans to!
@dietmarwehr9965
@dietmarwehr9965 Год назад
What about doing the same thing with Fibonacci numbers?
@marcevanstein
@marcevanstein Год назад
I have some ideas about Fibonacci numbers 🙂
@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 5 месяцев назад
@@JTByrd386 Sounds about right
@noreichi
@noreichi Год назад
looks like shore and the horizon
@ProTheRobloxer
@ProTheRobloxer Год назад
this is D minor music
@woodcrawlergaming8083
@woodcrawlergaming8083 Год назад
no
@anhtnd
@anhtnd Год назад
@@woodcrawlergaming8083 it started that way
@marcevanstein
@marcevanstein Год 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 Год назад
No it's locrian
@anhtnd
@anhtnd Год назад
@@c2h3cl82 locrian *is* a minor scale because locrian's third is minor but well after the first minute it all gets chromatic anyway
@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 5 месяцев назад
3089, according to someone on a comment I just read
@garrettshook5084
@garrettshook5084 5 месяцев назад
I’ve listened to the whole thing, and the lowest note I could make out was somewhere around an A-1
@DaBlu-rok
@DaBlu-rok Год назад
at 1 point all of the lower primes will be 1 note not 0h tho
@rogermiller2159
@rogermiller2159 Год назад
I wonder if Philip Glass has seen this?
@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
@guitaoist
@guitaoist Год назад
How low can you go
@yaroslavelectra7
@yaroslavelectra7 Год назад
Me gusta pero...
@theresa.y5221
@theresa.y5221 Год назад
What number
@Koiiij
@Koiiij 10 месяцев назад
5:33
@brotundwasser
@brotundwasser Год назад
Me sometimes :
@Dankelbowmeat
@Dankelbowmeat 6 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.
@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)
@jrbleau
@jrbleau Год назад
I think it's not harmonic by its very nature.
@al_gc1703
@al_gc1703 Год назад
This is like the sound of human decadence it’s exquisite, it’s like a nihilist seduction.
@gawys28
@gawys28 Год назад
Is this the houseki no kuni OST?
@ojd9145
@ojd9145 Год назад
. no
@user-jn6ho1ye8e
@user-jn6ho1ye8e Год назад
Nice
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