The Sound of the Logistic Map

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  • เผยแพร่เมื่อ 19 ธ.ค. 2024

ความคิดเห็น • 107

  • @jacobkudrowich
    @jacobkudrowich 4 ปีที่แล้ว +161

    Now I know where the dialup tone comes from

    • @Failzz8
      @Failzz8 4 ปีที่แล้ว +6

      oh shit

    • @pedroserigatto788
      @pedroserigatto788 2 ปีที่แล้ว +2

      i thought it could be related, it did take me back instantly to the old dialup internet times
      But giving it some thought it clearly coudnt be connecting to the internet using some pseudorandom data, I mean, you could never establish communication over some random crap data

    • @philipm3173
      @philipm3173 ปีที่แล้ว +2

      @@pedroserigatto788 this behavior can be exhibited by any recursive bifurcating signal.

  • @IllidanS4
    @IllidanS4 3 ปีที่แล้ว +96

    This is something that we should send to space when looking for aliens, not primes.

    • @minidreschi2
      @minidreschi2 3 ปีที่แล้ว +6

      well, both is mathematics which is an universal language, so could work but maybe harder to figure it out than primes

    • @complexcreations5309
      @complexcreations5309 3 ปีที่แล้ว +6

      The thing about this is that period doubling occurs naturally in physics. Maybe they'd think, it's just noise.

    • @metachirality
      @metachirality 10 หลายเดือนก่อน

      ​@@complexcreations5309 there's no known natural phenomenon that would produce this, so at worst they would look into it out of curiosity

    • @complexcreations5309
      @complexcreations5309 10 หลายเดือนก่อน

      @@metachirality Veritasium has a great video showing how period doubling shows up in nature

    • @macicoinc9363
      @macicoinc9363 7 หลายเดือนก่อน +1

      The logistic map is just a modified version of the discrete logarithm problem, which has to do entirely with primes. Nearly every fractal producing structure is just a result of the Zeta function's projection. Every recursive fractal series that uses variable fractional multiplication or some other analog of discrete division is just a producing a cycle on some field defined by the primes, likely through continued fractions.

  • @scarofmars4567
    @scarofmars4567 3 ปีที่แล้ว +15

    Dude thanks this is exactly what I was looking for!

  • @Zovalista
    @Zovalista ปีที่แล้ว +3

    now i know where the sound of my old 56k modem comes from

  • @doctor567
    @doctor567 4 ปีที่แล้ว +62

    This is so awesome. Highly underrated video. Thanks for putting this together! True story, I was just setting out to produce something like this myself (code it up somehow, probably would have taken me hours and hours to get it right. But I decided to search TH-cam for it beforehand just in case. It made me happy to have instant gratification :) Amazing how much it reminds one of a modem handshake followed by data modulation. I wonder if variations on the sound and/or formula would somehow produce other interesting results. I am not far enough up in math to know the possibilities, but I'm really into audio

    • @dancegod1691
      @dancegod1691 4 ปีที่แล้ว +5

      Yeah I'm down the exact same rabbit hole actually. I do think there are some issues with this presentation to think about though. First off the starting tone is arbitrary; our division of sound into hz is based on our western divisions of time which are vaguely based on the rotation of the earth, which is random. Starting on any other pitch would make just as much sense as long as the proportions were kept the same. Also the overall tempo and even the degree of separation between tones is arbitrary too, so multiplying the space between those tones (larger pitch differences) and would probably give us more audible insight before it turned to total white noise. This would still represent the formula as long as the proportional tonal differences was kept constant. The same concept applies to changing tempo.

  • @MartinCuticchio
    @MartinCuticchio 3 ปีที่แล้ว +7

    Is there any way to know the exact frequency in hz of the original line? It should be around 2878 ± 2 Hz if my ear is right, but are there any decimals?

    • @PaulNathan82
      @PaulNathan82  ปีที่แล้ว +1

      That is quite amazing if you estimated that by ear. Talk about absolute pitch! The value is 2880 Hz exact, no decimals.

  • @timothygerke6982
    @timothygerke6982 3 ปีที่แล้ว +2

    Thanks for posting. Very cool.

  • @itryen7632
    @itryen7632 3 ปีที่แล้ว +18

    Eminem has been real quiet ever since this dropped

  • @AtlCloud
    @AtlCloud ปีที่แล้ว +2

    It's an old school fax modem sound! That's wild! Well done! 4.669 ftw

  • @aaronthomas8270
    @aaronthomas8270 3 ปีที่แล้ว +21

    Slowly but surely we are learning the language of the true angels

  • @debajyoti.guha_bong
    @debajyoti.guha_bong ปีที่แล้ว +2

    This is beautiful !

  • @Hoodperd
    @Hoodperd หลายเดือนก่อน

    This sounds like something someone would download an audio of and put in their analog horror.

  • @cristianruiz2
    @cristianruiz2 4 ปีที่แล้ว +32

    Creepy... Ok, I guess that is my signal to stop studying for today ^^'

  • @Snowflake_tv
    @Snowflake_tv 3 ปีที่แล้ว +4

    Why on earth do the empty lines show up?

    • @crppledizzle9374
      @crppledizzle9374 7 หลายเดือนก่อน +1

      three years late but:
      the function that the logistical map is based on (xn=λxn-1×(xn-1 -1)), when iterated, creates nodes of stability depending on the value of lambda. The graph above displays what nodes (y axis) appear at which values of lambda (x axis). The regions that appear like dark voids are values of lambda that produces relatively stable numbers of nodes, compared to the chaos that surrounds them.

    • @Snowflake_tv
      @Snowflake_tv 7 หลายเดือนก่อน

      @@crppledizzle9374 Thanks!

  • @가시
    @가시 3 ปีที่แล้ว +1

    neat sound fractal

  • @byronlovelace8379
    @byronlovelace8379 4 ปีที่แล้ว +6

    56k modems

  • @pedrosuarez7113
    @pedrosuarez7113 4 ปีที่แล้ว +3

    Amazing!

  • @sieltan5618
    @sieltan5618 4 ปีที่แล้ว +3

    i love this merzbow song

    • @grammarnazi952
      @grammarnazi952 3 ปีที่แล้ว

      Ah, a fellow cultured youtuber. Good to meet you.

  • @vincent3060
    @vincent3060 4 ปีที่แล้ว +5

    How did you come to this conclusion?
    Like what method did you use to translate the graph into sound frequencies?
    Can I have a copy of the project that you used to get this sound?
    I want to run some experiments.
    And if I find something valuable, I will share every finding with you.
    Do you have a Facebook, where I can add you?

    • @PaulNathan82
      @PaulNathan82  4 ปีที่แล้ว +8

      The sound is a direct representation using the values of the iteration to create an amplitude time history. Several thousand "pre-iterations" were done before each sequence (for a given alpha) so as to not include the initial transient. See the last paragraph in the description for a few more details. I would encourage you to write the code from scratch yourself. I stopped using Facebook years ago.

    • @vincent3060
      @vincent3060 4 ปีที่แล้ว +3

      @@PaulNathan82 I'm not a coder, I'm a philosopher and a musician.
      And I have a lot of ideas for new inventions.
      Steve Jobs didn't know a lot of the technical things of his inventions, instead he bought patents from other people's inventions and he put all the inventions together, he unified multiple inventions to make the iPhone.
      I am not comparing myself to Steve Jobs.
      At least not yet.
      I am simply explaining there are 2 kinds of inventors, the true geniuses that know the technical side of the invention, all the math and the science that is used to make the invention, and the second kind of inventor, the kind that sees opportunity and potential benefits by uniting multiple inventions into a more useful invention.
      There is also the issue of time, mine appears to be running out, for that reason I don't have time to learn coding.
      It is better I invest my time in making a fortune buying patents and uniting inventions to make something more revolutionary.
      Here is an example of what I mean.
      th-cam.com/video/24O00Jz8R04/w-d-xo.html
      This doesn't mean that I do not have valuable information to add to the project.
      I have 10 years of research and development, 25,000 hours of studying.
      So I have a lot of data that I am using to come up with new inventions.
      I will show you my learning path if you would like to see what I have in mind.
      I am not here to steal anyone elses hard work.
      I want all of us to benefit equally and fairly and for all of us to profit.
      I don't value money, I value human beings, and animal and plant life.
      I am striving to make a fortune so that I can help the poor, and do my part to save the environment.
      There are a lot of homeless people, and starving Children, that I want to help before I die.
      And a lot of species are going extinct, that means that we can never get them back, not even though cloning, because some are going extinct before we even have a chance to discover them.
      The planet is dying, or rather life on Earth and under the sea is going extinct.
      The key to saving all life on Earth might be located in the Mandelbrot, golden ratio fractals.
      Particularly in the frequencies that you discovered.
      If you want full credit and profit from all this, fine.
      But now you are going to have to follow my learning path so that you can understand how it all fits together.
      I don't care about credit or profit, I care about helping people and saving the environment.
      I have valuable information, but I don't have a lot of time.
      Would you like to review the information I have gathered?

    • @mlonyenioner
      @mlonyenioner 4 ปีที่แล้ว +3

      @@vincent3060 youre gonna make an iPhone from the logistic map?

    • @vincent3060
      @vincent3060 4 ปีที่แล้ว +1

      @@mlonyenioner I'm going to make music with it.
      A new instrument that no one has ever heard before.
      A chaos theory instrument with every note and frequency in it, that plays with 0 dissonance.
      Unlike the defective 12 tone equal temperament tunning that all our instruments are tuned to.

    • @ThoughtPavilion
      @ThoughtPavilion 4 ปีที่แล้ว +5

      Just how much DMT do you do?

  • @Cattlecruiser
    @Cattlecruiser 7 หลายเดือนก่อน

    So what you’re telling me is.. the noise my 56k modem made was a fractal?

  • @sunscarredmusic
    @sunscarredmusic 4 ปีที่แล้ว +15

    Hey there, Paul! I came across this while researching the Logistic Map for a concept album I am writing. I was looking through your channel details for a way to contact you, but didn’t see anything listed. I was interested in discussing this clip and how I could weave it into the song that deals with the Logistic Map as a correlation to the precariousness of life. The fine line between stasis and extinction, etc. I would love to exchange emails and chat about the Logistic Map overall, and your willingness to let me sample or draw inspiration from this effort. THANK YOU FOR CREATING THIS!!

    • @RaphaeltDrechsler
      @RaphaeltDrechsler 4 ปีที่แล้ว +3

      damn.. I love that concept!
      definitely looking forward to hear that album.

    • @sunscarredmusic
      @sunscarredmusic 4 ปีที่แล้ว +5

      @@RaphaeltDrechsler Hey - that song is actually complete and I'd be happy to share the demo! Especially with someone who found the same sound clip I did!

    • @RaphaeltDrechsler
      @RaphaeltDrechsler 4 ปีที่แล้ว +3

      @@sunscarredmusic oh yeah! very nice!
      please go ahead. Where can I listen to it?

    • @sunscarredmusic
      @sunscarredmusic 4 ปีที่แล้ว

      @@RaphaeltDrechsler Shoot me an email at SunScarredMusic@gmail.com

    • @Rawi888
      @Rawi888 ปีที่แล้ว

      @@sunscarredmusicwould love to hear it too.

  • @justsomeguy5628
    @justsomeguy5628 ปีที่แล้ว

    How it feels to chew 5-Gum:
    We may as well change the name of 5-Gum to "Logistic Function With a Value Lambda Greater Than Feigenbaum's Constant-Gum"

  • @Oliepolie
    @Oliepolie 3 ปีที่แล้ว

    The beginning sounds like a big ol firecracker went off next to my ear

  • @sidsvids574
    @sidsvids574 3 ปีที่แล้ว

    This feels revolutionary.

  • @Arya3-fk9wl
    @Arya3-fk9wl 10 หลายเดือนก่อน

    Hey! What did you take on the x and y axis? How do you produce a sound from this and any graph? Curious to know! Please reply soon!

  • @FranklinHalfAddict
    @FranklinHalfAddict 3 ปีที่แล้ว +4

    So cool! 0:50 is the coolest part I think.

  • @lukecronquist6003
    @lukecronquist6003 10 หลายเดือนก่อน

    When people ask me what kind of music I like

  • @synterr
    @synterr 4 ปีที่แล้ว +2

    So at the end, it becomes a white noise. ;)

  • @weon_penca
    @weon_penca ปีที่แล้ว

    this is awesome, could you do that the y axis represent frecuency?

  • @michaeldomansky8497
    @michaeldomansky8497 ปีที่แล้ว

    Two D Representation Of The Mandelbrot Set In Audio!

  • @alexanderbaker4152
    @alexanderbaker4152 3 ปีที่แล้ว

    In the middle I felt like Animals As Leaders was about to start shredding

  • @kviknayt
    @kviknayt 4 ปีที่แล้ว +5

    is this free to use?

  • @ColinDdd
    @ColinDdd 2 ปีที่แล้ว +1

    so good

  • @Temporaryusername-i4h
    @Temporaryusername-i4h 3 หลายเดือนก่อน

    Sounds like a mix of dial up and someone screaming in pain

  • @Frankpizzaa
    @Frankpizzaa 3 ปีที่แล้ว

    this shit gave me tinnitus

  • @Rawi888
    @Rawi888 3 ปีที่แล้ว +4

    Dude. This shit bops so hard

  • @Fasteroid
    @Fasteroid 3 ปีที่แล้ว +1

    Sounds like raw file data

  • @colinbrash
    @colinbrash 6 หลายเดือนก่อน

    4 years later Drake is still trying to come up with a response

  • @theSpicyHam
    @theSpicyHam ปีที่แล้ว

    great stuff! reminds me that spiders been doing that before mankind

  • @machine-boy
    @machine-boy 8 หลายเดือนก่อน

    Mathematicians will look at this and say: "oh golly what a beautiful structure!"

  • @kikoremacha5722
    @kikoremacha5722 3 ปีที่แล้ว +1

    Connect the signal in a Commodore 64. Loads Arcanoid.

  • @JosePereira-cc1ju
    @JosePereira-cc1ju 2 ปีที่แล้ว +1

    nice
    💯👍

  • @ND62511
    @ND62511 9 หลายเดือนก่อน

    ENTRY NUMBER SEVENTEEN
    DARK
    DARKER
    YET DAR-
    Oh shit, wrong sfx

  • @matthewwagner47
    @matthewwagner47 ปีที่แล้ว

    Think I heard that before tripping.

  • @ranmindyt2902
    @ranmindyt2902 3 ปีที่แล้ว +2

    MY EARS!!!!!

  • @sirwes2924
    @sirwes2924 3 ปีที่แล้ว

    I swear I heard the Close Encounters sound for a second. hmm

  • @pra_ta_ta
    @pra_ta_ta 18 วันที่ผ่านมา

    This is the limit as limit goes to limit to the limit power of limit of limits

  • @david2618
    @david2618 3 ปีที่แล้ว

    This rocks 🤘🤘

  • @dogetastic2846
    @dogetastic2846 4 ปีที่แล้ว +11

    0 dislikes. I see we all enjoy earrape here. :)

    • @electronpie
      @electronpie 4 ปีที่แล้ว +4

      And those who don't are probably dead right now I suppose...

  • @unclemarchetto
    @unclemarchetto 3 ปีที่แล้ว

    magnificent

  • @mr__matrix
    @mr__matrix 3 ปีที่แล้ว +2

    Beginning of the video..... *deaf*

  • @RMSpartan
    @RMSpartan 3 ปีที่แล้ว

    Why does it sound like raw data to sound for some reason

  • @b3x
    @b3x 2 ปีที่แล้ว

    Hey pal, could put a warning there. I almost blew my head when the sound kicked in

  • @coolbasedgigachad6820
    @coolbasedgigachad6820 4 ปีที่แล้ว +12

    Its too CREEPY

    • @1krazyking
      @1krazyking 4 ปีที่แล้ว +1

      Think in vibration frequency and what was the other one nickolas tesla said?

  • @dimdimich
    @dimdimich 2 ปีที่แล้ว

    Tape loading error

  • @steffibg
    @steffibg 2 ปีที่แล้ว

    okay cool but my head literally started to hurt

  • @cobalius
    @cobalius 4 ปีที่แล้ว +1

    Sounds like thinking noises... Seriously

  • @lucalazzarano1255
    @lucalazzarano1255 9 หลายเดือนก่อน

    A nadie más le parece fascinante esto?

  • @mihayloallo9794
    @mihayloallo9794 3 ปีที่แล้ว

    Hey its dialab sound

  • @jodierafferty2418
    @jodierafferty2418 2 ปีที่แล้ว

    Broadband dial tone BBSes

  • @deputy1388
    @deputy1388 4 ปีที่แล้ว +2

    I feel like a portal was gonna open while I watched this and something bad was gonna happen

  • @alasanof
    @alasanof 3 ปีที่แล้ว

    It's Lavos

  • @Arylice
    @Arylice ปีที่แล้ว

    What The Fk

  • @kjgoebel7098
    @kjgoebel7098 ปีที่แล้ว

    Fascinating. Painfully ugly, but fascinating.