The Geometry of Music

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  • Опубликовано: 28 янв 2025

Комментарии • 218

  • @theharmonagonproject8138
    @theharmonagonproject8138  3 месяца назад +11

    Hello fans of Harmonagon! You are cordially invited to try our new Harken Music proof-of-concept demo at harkenmusic.com. You can also read detailed information about this new free open-source music system and join the discussion on Substack at mitchkahle.substack.com (free to subscribe and share) or on Blue Sky at bsky.app/profile/harkenmusic.bsky.social. Thank you.

    • @chandlerc7078
      @chandlerc7078 2 месяца назад +1

      The Harkenmusic site is so awesome. I didn't get it at first but next to the copyright at the bottom I saw Holly J Huber (and your name). I found her Github and read the all the source code which was Javascript. The reason I searched her name is because I did my ancestry tree on family search and on one particular lineage my ancestors went back to the Swiss Confederation of Cantons (Switzerland before it was unified as one nation.) The family names there were Naff and Huber. The Huber family were Barons and Counts ruling the Zurich area. It was cool seeing that name "Huber" on the harkenmusic site. How do you and Holly J Huber know each other?

  • @bschuber
    @bschuber 3 года назад +50

    This is the BEST visual representation of this I've ever seen, mind blown

  • @WhirledPublishing
    @WhirledPublishing 2 месяца назад +11

    @30 seconds: "The 12 points of a dodecagon" align perfectly with the numbers on the face of a clock - and these mathematical principles are also true for our chemical elements.

  • @fredrickpritchardpiano4103
    @fredrickpritchardpiano4103 Месяц назад +7

    A great presentation! I've worked on a similar project for years. However, for accuracy, we must set an exact wavelength (nanometers), which can be determined with lasers. Surprisingly, the 3 primary colors of light do NOT form an equilateral triangle, but closely correspond the the numbers 12, 4 ad 7 on a clock, with 12 being pure red, and form a major triad! Your colors are extremely close to the named notes, with C being green. Keep up this fascinating work!

  • @KatieKarma_thecreator
    @KatieKarma_thecreator 4 года назад +164

    This just changed my life. I'm an ADHD-based musician, who struggles with connecting music theory into my way of understanding. Perfect explanation of perspective and connecting math to creative work.

    • @backspacex5785
      @backspacex5785 3 года назад +4

      every thing ,shape ,size , solid ,liquid pattern ,gaseous patterns , blackhole and rest that we don't know yet ,all can be explained or simply show with an math equation

    • @tomasoliverasala
      @tomasoliverasala 3 года назад +1

      same fella

    • @prestonjoeyoung
      @prestonjoeyoung 2 года назад +2

      Exactly. I can think of the times I've thrown "music theory for dummies" after getting a headache. This explained so much in a few minutes. Wow.

    • @hewhoisathirst530
      @hewhoisathirst530 2 года назад +4

      A good ear can replace theory anyday. Once tuned the notes on ur instrament are stationairy and tangeble.
      Theyre at ur disposal. Rhythm and structure are the intangibles. I too am a musician of 25+ years multiple instraments and adhd. Theory doesnt work for me. And prob wont for you. Much better to focus on the intangibles and trust your ears. All scales are groups of notes that are most consinet decreasing or increasing. But without dissonance its hard to convey alot of emotion or feeling. Trust your ear Brother

    • @BiblicallyAccurateToaster
      @BiblicallyAccurateToaster 2 года назад +2

      I agree, I had the concentration of a gnat in class. Getting a grasp of the circle of fifths then applying it to an instrument or writing is 1 of the most fundamental yet giant steps any musician of any genre can take

  • @subzeroelectronics3022
    @subzeroelectronics3022 3 года назад +44

    If you make an equilateral triangle or square and then rotate it, something amazing happens. You discover that there are only four unique augmented chords and three unique diminished 7 chords because their intervals are equally spaced.

    • @wailingalen
      @wailingalen Год назад +7

      Yes, they are just inversions of each other. And lots of complex chords can be viewed and created as stacks of types of trị chords on top of bass notes or even other note combinations,
      I.E. a Cmaj7aug5th is basically a E major chord over a C bass note
      C E G# B.
      These views of complex chords and scales has helped me to grasp complex harmony over the years

  • @adeolaola4516
    @adeolaola4516 5 лет назад +33

    You know your favourite artist is good when they bring you here.

  • @dakota-rt8kd
    @dakota-rt8kd 2 месяца назад +4

    Loving this, for I cannot imagined this World, without the presence of music in life ❤❤❤

  • @wilfredoblas9533
    @wilfredoblas9533 4 года назад +4

    I was searching mathematical music theory out of curiosity and this is the basic yet the best explanation so far

  • @trentp151
    @trentp151 2 года назад +10

    Holy COW. About 3 years ago, I had a waking vision of Pythagoras pointing out this exact concept, with the addition of musical frequencies aligning with the 7 colors of ROYGBIV. Furthermore, the shapes illustrated in your video align perfectly with what are called "Grand Aspects" in astrology. Needless to say, all of this stuff is related, and it blew my mind when I had that revelation.
    Awesome video!

  • @glenneric1
    @glenneric1 6 лет назад +66

    THIS! I've been waiting for a good sound mathematical video about music. As far as I'm concerned word like 'major', 'minor', 'sharp', 'flat' only confuse the issue. To me, there are only steps and patterns around the wheel. This video does an excellent job of showing how frequencies are related to make pleasing structures. I might suggest showing how the 0-4-7 combination (major) and the 0-5-8 combo(minor) are really just mirrors about the vertical axis. Also, maybe show how the 'church' scales are related by simply rotating the major wheel.

    • @umbertojr
      @umbertojr 3 года назад +4

      Actually, a major triad is 0-4-7 and minor is 0-3-7. Only one note changes.

    • @Cyred_Akaao
      @Cyred_Akaao Год назад +1

      You'd probably love Pitch Class Set Theory, then. The whole idea behind that is to organize musical ideas numerically, based on this Dodecagon graph.

    • @glenneric1
      @glenneric1 Год назад

      @@umbertojr 0-5-8 is also a minor since it effectively also a 5-8-12, which when down shifted is a 0-3-7. it just has a different name (I forget which), which is one of my points of confusion. There are 3 variations of a minor scale that are within a single octave range.... 0-3-7, 0-5-8 and 0-4-9

    • @umbertojr
      @umbertojr Год назад +1

      @@glenneric1 You're right that 0-5-8 makes a minor chord, namely an F minor chord (if 0 = C). It would be a 2nd inversion minor chord because its 5th (C) is on the bottom, so it's spelled C(0) - F(5) - Ab(8). 1st inversion is when its 3rd (Ab) is on bottom.

  • @Turboy65
    @Turboy65 2 года назад +10

    This visual system makes a lot more sense than our current method of notating chords. It should become a standard chord notation method. Recognize the shape, recognize the kind of chord to play. Observe its angle in the wheel, know what key it is. Easy. This is the method I would choose to teach our 12 tone musical system to an alien race. It's very logical and representational.

  • @sunnyboy4553
    @sunnyboy4553 6 лет назад +8

    LOVE your site. I'm just learning to play a keyboard (repertoire limited to Freres Jacques, Mussels, and Cockles, etc..) I find it so fascinating that music has so many mathematical, almost mystical components.

  • @wlfred.ed1930
    @wlfred.ed1930 2 месяца назад +3

    this video is 7+ years old and shine like new

  • @tstm3570
    @tstm3570 4 года назад +56

    Thanks a lot for saving my life, i was getting tagged as insane by my musician friends saying that I am thinking absurd, i wish to collaborate with you guys, i am looking forward to develop a unique data structure that can develop into a machine learning model and analyse a given piece of music into a mathematical expression, which can be further analysed with the human cognition system and deduce the impact of the music on the brain and it's cognitive reactions. Great research by you guys. Thanks 🙏

    • @energy_waves
      @energy_waves 3 года назад +11

      The sounds like something similar to what I want to become a reality, Let me know if it happens!

    • @blahblahblahykwii
      @blahblahblahykwii 2 года назад +2

      @@energy_waves same here

    • @energy_waves
      @energy_waves 2 года назад +4

      @@blahblahblahykwii Keep up the good work and keep improving your mental and physical abilities so you can be your best self. Your dream can systematically come true as you step toward it. :)

    • @blahblahblahykwii
      @blahblahblahykwii 2 года назад +2

      @@energy_waves thank you so much 💙

    • @beammeupscottiii
      @beammeupscottiii Год назад

      ​@Patrik Kondor will you be sharing / documenting your research anywhere? This is really interesting!

  • @regularjohnstudios
    @regularjohnstudios Год назад +1

    I've never visualized these shapes before with chords, seventh chords etc. Things will never be the same now

  • @chrislucy3778
    @chrislucy3778 2 года назад +6

    Great one! Didn’t think of the tones on a wheel with geometric shapes - makes better sense than my piano training (memory practice) Thanks :)

  • @chrisvon4781
    @chrisvon4781 6 лет назад +10

    Absolutely Amazing. Please Keep Doing These Great Videos Thank You

  • @GlennMichaelThompson
    @GlennMichaelThompson 3 года назад +2

    I've only just come across this introductory video.... subscribed and will begin following this channel. Looking forward...🙏

  • @philipboffey8630
    @philipboffey8630 2 месяца назад +2

    I honestly cant believe music is geometrical, this has to link into spiritualitily somehow i just dont know how

  • @anthonyfoden9382
    @anthonyfoden9382 3 года назад +3

    A very nice, elegant video. Music is number made audible.

  • @richardlovato6301
    @richardlovato6301 Месяц назад +1

    Again this is very old that music can be understood with geometry

  • @Christopher.TheGrasshopper
    @Christopher.TheGrasshopper 2 месяца назад +2

    I have experienced the geometry of sounds when tripping on acid, specially when listening Jazz...

  • @gloryaday480
    @gloryaday480 Год назад +1

    I was studying Ptolemy in college (great books program) and I remember our professor showing us how musical intervals somehow match up with the planets and their orbits as well. If someone knows what I am talking about I would love to know where I can read and learn more about that.

  • @RoyDL3
    @RoyDL3 2 месяца назад +1

    Thank you for this video, you are showing to the world what many of us could only see in our harmonic eye.
    As with all things that build our “reality” this is truly beautiful to the eye (as an observer) and enriching to the whole of existence.
    It is quite fallacious for me the say this
    (though I feel it apropos)
    :everything is everything
    If one can learn to understand the wave and frequency, they will then have the key to understanding whole of all things and the how of all things.
    Truly beautiful, thank you:)

  • @zerozucker
    @zerozucker Год назад

    beautiful visualization

  • @simonesewero9405
    @simonesewero9405 Месяц назад +1

    ✨❤✨ when music becomes the wheel of the soul carrier

  • @leewithey2014
    @leewithey2014 Год назад

    Fantastic information!!! 🎼

  • @laurenpinschannels
    @laurenpinschannels 3 года назад +5

    this doesn't really represent why the interference patterns work the way they do, though.

  • @themar.i.per3374
    @themar.i.per3374 Год назад

    I align the dodecagon with the circle of fiths because F sounds like C and because of that it should be close to it.

  • @yemamayicien1922
    @yemamayicien1922 4 года назад +2

    1:54 This dramatic chord took me by surprise !

  • @AndreeaCe
    @AndreeaCe 2 месяца назад +1

    If I knew 20 years ago what I know now about Google, I would not used Google.

  • @Verrisin
    @Verrisin 2 месяца назад +1

    - This seems very interesting to understand transposing, etc. But as non-musician, I cannot say this video told me much. XD
    In fact 12? I know 7 ...

  • @throxing8865
    @throxing8865 8 месяцев назад

    The first couple shapes are easier to understand but as they go up i think its difficult

  • @soulintent4129
    @soulintent4129 3 года назад

    Wow, such a beautiful way to represent music

  • @20th_century_Ghost
    @20th_century_Ghost 6 месяцев назад

    So Awesome.
    Thank you.

  • @cavespidergamingyt
    @cavespidergamingyt 4 года назад +10

    Elearning told me to watch math and music, I clicked the shortest vid this vid

  • @miketierney7510
    @miketierney7510 2 месяца назад +1

    Thank you that was awesome 😎💯

  • @mcgee1864
    @mcgee1864 2 месяца назад +1

    WHY DOES THIS ALL HAVE TO BE "ORGANIZED" WITHIN A CIRCLE? WHO MADE THAT THE RULE?

  • @GEMSofGOD_com
    @GEMSofGOD_com 3 года назад +1

    Instant subscription in less than two minutes. And I didn't even want to know what's a pentetonic

    • @massimookissed1023
      @massimookissed1023 9 месяцев назад

      Since you don't want to know what a pentatonic scale is, I'll tell you.
      Take a tube and blow over the top of it, like blowing over a bottle.
      You'll get a note dependent on the length of that tube. ~ Its fundamental frequency.
      By blowing harder and harder, you can get other notes, 4 distinct different notes before eventually getting one that's twice the fundamental frequency. One octave up.
      The fundamental and those 4 other distinct notes, are the pentatonic major scale.
      So 5 of the 12 notes in a Western chromatic octave scale can be achieved with a fixed-length tube and physics.
      (There was a 'toy' in the 70's that was a flexible corrugated tube about 1m / 1yd long, and by twirling it around at different speeds you could get those 5 notes, and smack anyone within range.)

    • @GEMSofGOD_com
      @GEMSofGOD_com 9 месяцев назад +1

      @@massimookissed1023 plot twist: didnt want cause knew it. But yours a good explanation

  • @teonaz
    @teonaz 3 месяца назад

    I find it to be much closer, even a design, to Seljuk art long before the cubic times.

  • @chillmurray7529
    @chillmurray7529 2 года назад +1

    Incredibly helpful!
    Please post the tabs for this?

  • @lmmnil4574
    @lmmnil4574 2 года назад +2

    Do you have an app for messing about in this duodecagon? I use this concept already but i draw it and that takes time. Also id like to change the colors. The lack of magenta bothers me (learn to CMYK plz) and i color code the notes differently

    • @lmmnil4574
      @lmmnil4574 2 года назад

      C #0080ff
      Db #0000ff
      D #8000ff
      Eb #ff00ff
      E #ff0080
      F #ff0000
      Etc. You figure out the rest.

  • @billyfubar2748
    @billyfubar2748 10 месяцев назад

    I've been playing guitar for a long time, 22 years, and I feel stuck in the room, musically speaking.
    Using keyboards to record music has been helping me but I get so caught up in learning those programs I forget to study what the hell I actually just recorded.
    I'm left handed, but I play right handed thank God, but my brain does not understand like other's do.
    I'm gonna need to watch this video over and over.
    I know where most the notes are but I am far from understanding the Liles of triads
    And what makes a chord beyond just full blown bar chords.
    Learning to play these, I get bored easily and go back to my knuckle dragging style of play.
    A mix between dirty Slur atmospheric blues and heavy metal, with side quests into other genres to shake the tree a little bit. (Just finished a Latin trap song) , which uses sounds notes and progressions I'm unfamiliar with
    I have all these new sound packs and there is Arabic trap music, Punjab (india) those cultures use obviously different scales than a typical good Ole murican guitarist like myself.
    And I'm very disappointed in my lack of knowledge on music in a global and historical scale.
    I just seen a video about the hurrian hymn number 6 (the oldest sing ever written that could be still transcribed.
    Like 3400 years old from the an area in (todays) Syria.
    But the translation is muddle a bit,
    I think it's a minor scale
    But it was meant for a lyre instrument with out instruction on tuning
    But i digress
    thank you for this video.

    • @ThomasGilmore-fi6gb
      @ThomasGilmore-fi6gb Месяц назад

      I spent 21 years as a professional guitarist and professor of theory, arranging, etc. Filling your mind with this music philosophy won't help you to play better. I've played across 3 continents and worked with some remarkable musicians. None of them ever discussed or even mentioned any of these "geometric" patterns. I studied with major session players at G.I.T. in the 80's in an industry oriented 1200 hour course. This approach was never taught because devoting time to memorizing something like this will add nothing to your playing. 😢

  • @liltick102
    @liltick102 Год назад +1

    Good stuff

  • @mastercat
    @mastercat 5 лет назад +1

    Another vid like this about this???

  • @vishruthpitliya4586
    @vishruthpitliya4586 4 года назад +4

    Our Own bois assemble

  • @fredmclaughlin8234
    @fredmclaughlin8234 Месяц назад

    Where did the B # and D # go? and why?

  • @TaxPayingContributor
    @TaxPayingContributor 2 года назад

    Digital billboard on repeat at train station.

  • @banksofchaos93
    @banksofchaos93 2 месяца назад

    This is.... also astrology.
    My brain has always stalled with music theory as soon as i hear "circle of fifths."
    But you're getting all ADHD and synesthesia up in here, so i think our brains might be compatible. Gonna sub.

  • @ROBBIEP
    @ROBBIEP 2 года назад

    is there a website where you can select the decogram and hear sound. i want to try something with it. but unsure if one exists. searching for one i'm not having much luck. any help thanks🤞

  • @zerubbabelsbridge
    @zerubbabelsbridge 6 лет назад +14

    Is there an app to compose music with this?

  • @janglebinski
    @janglebinski 4 года назад +1

    Thats the best what i have even seen before! Which software/ Program you use? I want to play with it too!

  • @C-o-r-y
    @C-o-r-y 6 месяцев назад

    Are u sure its not the even shaped rhombic dodecahedron instead of the regular dodecahedron ?

  • @Jude74
    @Jude74 5 лет назад

    Fascinating!

  • @gosugosu1280
    @gosugosu1280 2 года назад +1

    How did you create these visuals? Thanks for the video!

  • @johnfurseth9791
    @johnfurseth9791 10 месяцев назад

    Stupendous!

  • @bobleclair5665
    @bobleclair5665 2 года назад

    The commercial for this video had music with Kermit the frog singing, I was getting the urge to dance,

  • @louisaruth
    @louisaruth 3 года назад +1

    the C should be red and chromatic from there- it would make more sense that way

  • @Brick_Briceno
    @Brick_Briceno 3 месяца назад

    Good video! 🎉

  • @ericschmuecker348
    @ericschmuecker348 2 месяца назад

    Reflection transposed. Ok

  • @TheDingsBoms
    @TheDingsBoms 6 лет назад

    Wow that was incredibly and beauitfully made!! I was moved, Thank You so much.

  • @kungfumusiclessons7579
    @kungfumusiclessons7579 2 года назад

    Great video. Well done!

  • @juglansregia1433
    @juglansregia1433 6 лет назад +10

    holy crap...so i was in another dimension..in that dream....that golden geometrical structure that gave off this wonderful music...it was real...(O.o)

  • @thighknives
    @thighknives 3 года назад

    I love this so much!!

  • @alute5532
    @alute5532 2 года назад

    Cool sounds how to implement Fourier analyais with the circle?
    Does this study process or field has a proper formal name?

  • @Shervin963
    @Shervin963 2 года назад

    wonderful! thank you

  • @mikeray1544
    @mikeray1544 2 месяца назад +1

    Penta sounds like the english vowel sounds...

  • @xasancle
    @xasancle 5 лет назад +3

    Where you extract the colors of notes? Arbitrary?

  • @هيلة-ع8م
    @هيلة-ع8م 3 года назад +1

    Hou can a circle "represent" a perfect octave? When you only used 12 points on it? I mean in that scene everything can be represented perfectly by a circle

  • @xMadhavandlifex
    @xMadhavandlifex 3 года назад

    00:43
    01:56
    important points

  • @joenathan3517
    @joenathan3517 Месяц назад

    Where was this explanation thirty years ago?

  • @psychedavy
    @psychedavy Месяц назад

    Why did you play the 12 note chord?

  • @sneakyturtle6143
    @sneakyturtle6143 4 месяца назад

    this is so cool

  • @mikehardy3823
    @mikehardy3823 2 месяца назад +1

    💚🙏

  • @michaelsmusic3532
    @michaelsmusic3532 3 года назад

    SIMPLY BRILLIANT !!!

  • @leesweets4110
    @leesweets4110 Год назад

    In what way is this visualization enlightening of music theory?

  • @RoseThomson-n3d
    @RoseThomson-n3d 3 месяца назад

    This is cool

  • @nickpatella1525
    @nickpatella1525 6 лет назад +2

    Wait, aren’t there only six axes you could reflect on?

    • @massimookissed1023
      @massimookissed1023 9 месяцев назад

      The are 6 axes from any point to its opposite point,
      *PLUS* 6 more from any gap to its opposite gap.

  • @muhittinselcukgoksu1327
    @muhittinselcukgoksu1327 7 месяцев назад

    Super...

  • @GelatinSkelet0n
    @GelatinSkelet0n 4 года назад

    So basically Harmonagon infinity opens the door?

  • @spec_wasted
    @spec_wasted 3 года назад +1

    I am beating my head against the wall

  • @rayhanmansoor2951
    @rayhanmansoor2951 4 года назад

    So vacation is almost over huh ....

  • @cedzimagination
    @cedzimagination 6 лет назад

    nice...could you do a video on music and the golden ratio??? Thanks

  • @moontan91
    @moontan91 Месяц назад

    why are Sus2 and Sus4 not considered Triads in this video?

  • @zycek
    @zycek 4 года назад

    ayo whats the menu loop my friend really likes its but i dont know what it is

  • @a1schaible168
    @a1schaible168 2 года назад

    I love this

  • @Shubham-ju6ee
    @Shubham-ju6ee 3 года назад

    thank you

  • @javiersoto5223
    @javiersoto5223 5 лет назад +2

    This is not the true geometry of music. The notes of the chromatic scale are at the vertices of specific polygons. Those polygons are the triangle, square, pentagon, octagon, and the pentadecagon.

  • @JC3D
    @JC3D 6 лет назад +1

    Thanks - this is very helpful

  • @Astrovic1
    @Astrovic1 3 года назад

    really great video! is the illustration with the twelve notes somewhere on a website?

  • @downhill240
    @downhill240 4 года назад

    MInd blowing man!

  • @yesserlabidi7831
    @yesserlabidi7831 3 года назад +1

    HOLY molyyyyyyyyyyy thank youuuuuuuuuuuuuuuuuuuuuuuuu !

  • @Rcknrll666
    @Rcknrll666 4 года назад

    This is how Wagner wrote ride of the valkyries

  • @DJFrenchie-GalLovette
    @DJFrenchie-GalLovette 10 месяцев назад

    cool

  • @AnnemieM
    @AnnemieM 6 лет назад

    Wow that was an awesome video thank you so so much.

  • @zwarupa
    @zwarupa 2 месяца назад +3

    hmm, came across this video by chance. To me it seems like this code was made by someone, I mean made for us to understand, something that fits perfectly into our brain. I mean, made by a higher intelligence.

  • @ShaneDereck
    @ShaneDereck 4 года назад

    This is sooooo cool 😎👌

  • @downhill240
    @downhill240 6 лет назад

    Very interesting!

  • @jimmyseterna651playlistmus8
    @jimmyseterna651playlistmus8 2 месяца назад +1

    ❤❤❤❤❤❤❤❤❤❤❤❤❤