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 our Substack at mitchkahle.substack.com (free to subscribe and share). The new Harken Music system uses simple high-school-level math to calculate and play all 1,193,556,233 harmonic combinations and permutations possible in 12-tone music. Note: a desktop or laptop computer and current web browser (Chrome, Safari, etc.) are required to use the Harken Music demo; however there are no downloads, sign-up, or subscription requirements. It cannot be overstated that this new system uses only mathematics and math related programming code. The programming does not use any databases, lookup tables, or other sources of data. Everything-nearly 1.2 billion musical combinations and permutations-is calculated on the fly. Give it a try! See also: “Harken Music: A New Mathematical Framework for 12-Tone Harmony”, a review by ChatGPT 4o, at mitchkahle.substack.com/p/ai-math-and-music. And for an even deeper dive into the mathematics, read Factorials and Fractions “Navigating the 12-tone Matrix,” at mitchkahle.substack.com/p/factorials-and-fractions. Constructive comments, suggestions, and ideas are always welcome. Thank you.
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?
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.
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
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
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
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.
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
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 🙏
@@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. :)
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.
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 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
@@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.
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.
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!
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:)
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.
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.
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
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.
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.)
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🤞
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
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.
![ARGENTINA vs. PERÚ [1-0] | RESUMEN | ELIMINATORIAS SUDAMERICANAS | FECHA 12](http://i.ytimg.com/vi/xtI25ENDDSY/mqdefault.jpg)
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 our Substack at mitchkahle.substack.com (free to subscribe and share). The new Harken Music system uses simple high-school-level math to calculate and play all 1,193,556,233 harmonic combinations and permutations possible in 12-tone music. Note: a desktop or laptop computer and current web browser (Chrome, Safari, etc.) are required to use the Harken Music demo; however there are no downloads, sign-up, or subscription requirements. It cannot be overstated that this new system uses only mathematics and math related programming code. The programming does not use any databases, lookup tables, or other sources of data. Everything-nearly 1.2 billion musical combinations and permutations-is calculated on the fly. Give it a try! See also: “Harken Music: A New Mathematical Framework for 12-Tone Harmony”, a review by ChatGPT 4o, at mitchkahle.substack.com/p/ai-math-and-music. And for an even deeper dive into the mathematics, read Factorials and Fractions “Navigating the 12-tone Matrix,” at mitchkahle.substack.com/p/factorials-and-fractions. Constructive comments, suggestions, and ideas are always welcome. Thank you.
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?
This is the BEST visual representation of this I've ever seen, mind blown
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.
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
same fella
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.
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
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
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.
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
This makes a lot of sense, thank you for articulating and depicting their relationship in such a concise manner
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 🙏
The sounds like something similar to what I want to become a reality, Let me know if it happens!
@@energy_waves same here
@@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. :)
@@energy_waves thank you so much 💙
@Patrik Kondor will you be sharing / documenting your research anywhere? This is really interesting!
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.
You know your favourite artist is good when they bring you here.
Enjoy
Who is that?
@@pitbikecrazy some singer/experimentalist. Nothing interesting
@@todabsolute can you give the name?
@@هيلة-ع8م no
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.
Actually, a major triad is 0-4-7 and minor is 0-3-7. Only one note changes.
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.
@@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
@@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.
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.
A very nice, elegant video. Music is number made audible.
I was searching mathematical music theory out of curiosity and this is the basic yet the best explanation so far
I've only just come across this introductory video.... subscribed and will begin following this channel. Looking forward...🙏
I've never visualized these shapes before with chords, seventh chords etc. Things will never be the same now
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!
Great one! Didn’t think of the tones on a wheel with geometric shapes - makes better sense than my piano training (memory practice) Thanks :)
Absolutely Amazing. Please Keep Doing These Great Videos Thank You
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:)
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.
beautiful visualization
to everyone scrolling, do yourself a favor and read forbidden manifestation by zara blackthorn. thank me later.
I got it, one of the best books ive ever read
Can you tell me where to find it please?? It’s barely yielding any results on internet for ebook or near me for purchase
1:54 This dramatic chord took me by surprise !
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.
Elearning told me to watch math and music, I clicked the shortest vid this vid
Fantastic information!!! 🎼
Wow, such a beautiful way to represent music
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
C #0080ff
Db #0000ff
D #8000ff
Eb #ff00ff
E #ff0080
F #ff0000
Etc. You figure out the rest.
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.
I find it to be much closer, even a design, to Seljuk art long before the cubic times.
Incredibly helpful!
Please post the tabs for this?
😂
Instant subscription in less than two minutes. And I didn't even want to know what's a pentetonic
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.)
@@massimookissed1023 plot twist: didnt want cause knew it. But yours a good explanation
How did you create these visuals? Thanks for the video!
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)
dream or trip?
Omg you're so special
Cool sounds how to implement Fourier analyais with the circle?
Does this study process or field has a proper formal name?
Good stuff
I align the dodecagon with the circle of fiths because F sounds like C and because of that it should be close to it.
Great video. Well done!
So Awesome.
Thank you.
Wow that was incredibly and beauitfully made!! I was moved, Thank You so much.
Thats the best what i have even seen before! Which software/ Program you use? I want to play with it too!
Good video! 🎉
Digital billboard on repeat at train station.
I am beating my head against the wall
I have experienced the geometry of sounds when tripping on acid, specially when listening Jazz...
The first couple shapes are easier to understand but as they go up i think its difficult
So vacation is almost over huh ....
- 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 ...
this doesn't really represent why the interference patterns work the way they do, though.
The commercial for this video had music with Kermit the frog singing, I was getting the urge to dance,
Another vid like this about this???
the C should be red and chromatic from there- it would make more sense that way
Augmented 7 amongst the most commonly used chords in music?! LOL great vid tho!
wonderful! thank you
Our Own bois assemble
nice...could you do a video on music and the golden ratio??? Thanks
I love this so much!!
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🤞
Is there an app to compose music with this?
J Byrd exactly what I’m working on
@@spiritofsiriusszariosatis5768
Any chance of your work being finished in the not too distant future?
@@GlennMichaelThompson can i get the code source
Thanks - this is very helpful
If I knew 20 years ago what I know now about Google, I would not used Google.
Reflection transposed. Ok
HOLY molyyyyyyyyyyy thank youuuuuuuuuuuuuuuuuuuuuuuuu !
this is so cool
Where you extract the colors of notes? Arbitrary?
Yes, the colours are entirely arbitrary.
SIMPLY BRILLIANT !!!
00:43
01:56
important points
Fascinating!
Wow that was an awesome video thank you so so much.
Stupendous!
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
ayo whats the menu loop my friend really likes its but i dont know what it is
This is cool
really great video! is the illustration with the twelve notes somewhere on a website?
thank you
This is how Wagner wrote ride of the valkyries
MInd blowing man!
In what way is this visualization enlightening of music theory?
I love this
Very interesting!
This is sooooo cool 😎👌
hi there : what´s the name of the app. you are using ? looks cool ,it will save a lot of time.tku
So basically Harmonagon infinity opens the door?
Super...
Are u sure its not the even shaped rhombic dodecahedron instead of the regular dodecahedron ?
Thank you
A lot of this reminds me of music from Zelda Ocarina of Time
cool
Damn this is geniuuuuussssss !
*Takes a deep breath...
WHOOOOOOOOOAAAAAAAAA!?
Penta sounds like the english vowel sounds...
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.
Awesome!!!!!!
WHOA!
haha great , a bit too fast though . Very Interesting
this be very real, people never try to understand pithagorics !!!
Psalms Songs Love you guys 🧐🤔😘 always 💙💜❤️
🙏💗
Wonderful Video! well done
Wait, aren’t there only six axes you could reflect on?
The are 6 axes from any point to its opposite point,
*PLUS* 6 more from any gap to its opposite gap.
WHY DOES THIS ALL HAVE TO BE "ORGANIZED" WITHIN A CIRCLE? WHO MADE THAT THE RULE?