The Geometry of Music - and How to Use It
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- čas přidán 26. 08. 2022
- Music is geometry. Here's a look at what that means, and how to use these patterns to make music.
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THE CIRCLE OF FIFTHS - HOW TO REALLY USE IT: • The Circle of Fifths |...
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Would love a part 2 where you let us hear the patterns. Fascinating stuff.
That's what I was looking for so long someone who can link music and mathematic
Pitagora did it.
Never had a lot of music theory, despite my interest in music and "playing" guitar off and on from an early age...
These videos have really brought together my own thinking about music.
Thanks.
You are the first person that has shown those designs. I found that decades ago when trying to conceptualize all interval cycles as well as that of fifths,and the relationships of each pitch to all others. Of course,we have to bear in mind that it ignores that pesky Pythagorean comma,and the designs that form are only derived from the somewhat arbitrary division of the pitch continuum within an octave,but it's still amazing. I invite any beginning music theorist to use colored pencils,one color for each interval and connect the 12 dots representing the pitches(resulting in 3 squares,4 triangles,1 dodecahedron,etc..). It not only helps understand it,but the results are beautiful.
Music is a beautiful thing. 🤘
It is the bassis of reality. Or what we know to be real . Our world is based on it . 12 months. . 7 with 30 n 5 with with less . Its based on 360° its all very strange .. or maybe its just how we think and we interpret reality that way because its all we see. Kinda like how theres actually more notes than 12. But the 12 make a perfect circle. I think 18 x 2 or 12 x 3 works too .. just because of 36..
Mike you put a lot of effort into this and I think your addition of color to show the 5th relationships within the chromatic scale is genius. Hats off to you dude!
Wow!! You got a GREAT thing going!
"Audible geometry"....love it! Great description!
I'm actually really shocked at how hostile some 'musicians' are to the idea that music is mathematics, or based on colour.
It's the most direct route to the soul.
Whatever that looks like.
It's older than mathematics, older than colour.....the 'big bang' was effectively the first smack of a cosmic snare drum.
Maths and colour are certainly two of the best ways to try and seep into it.
Very well said.🤘
In the beginning was the word .
We are just vibrations solidified.
Everything is connected . God is Reality . All that was said will come to pass.
What if I tell you that the tangible is determined by the non tangible, like maths... What if I tell you that the big-bang can't unfold without order, like morphognetic field does constantly.
This is MASSIVELY helpful! I have ADHD, and any alternative ways of linking these patterns in my mind are usually the most useful! Besides geometry being my favorite form of math (working memory issues aren’t a problem when you can measure the math with a ruler to double check your calculations!), being able to visualize the relationships between notes in this way makes so many things make so much more sense in my brain, not only due to the novelty engaging my brain much better, but also because I’m just so strongly wired to seek out these patterns to make intuitive sense of things, in order to take some of the load off my working memory.
Awesome! I’m so glad this helps, Erin. And you describe things really well - this feedback is equally helpful. 🤘
That's awesome! Music theory is usually a struggle for a person with ADHD. Good to know that it has been helpful =]
My advice to balance the working memory impairments is to use some sort of “quick note” strategy. Like keeping a journal or something with you to write down things quickly so they don't keep coming back over time because “you can't forget”. It doesn't have to be too sophisticated, just bullet points may help.
It is very summarized, but I hope it helps! Btw, I’m a psychologist with experience working with ADHD (and also diagnosed with ADHD!)
Same here! this is super helpful for me with learning and understanding the guitar fretboard!
Same. I love these visualizations. They're so much more intuitive to me than standard notation.
Erin! This might sound a little weird but your self awareness is a breath of fresh air and the way you explain that awareness is inspiring. I feel like my brain is wired the same way!
This was so incredible I have to comment with appreciation and astonishment because with your explanation of the geometry with the colors and geometric shapes it got me interested to learn about music theory for the FIRST time in my 50years of avoiding the ‘boring topic’ like the plague! Thank you!!! 🙏🏽😊👍🏼
P.s. you are a great teacher and I subbed! 😊👍🏼
Awesome -- thank you! I'm so glad you're here. Yes, music theory is much more interesting that it might seem. :)
Very good video, I have been contemplating the relationship between music and geometry and this is a good summary of the basis of some of my thoughts. I think it's particularly interesting how we would think of the augmented 7th and diminished chords in this context as being the most "pure", yet those are some of the most harmonically dysfunctional chords in the western repertoire. Instead, the true "purer" chords of major and minor are made up of a perfect balance between a piece of the triangle, and a piece of the square
Here in Brazil most of sambas are in "little squares", as people call the four basic chords. Super interesting to see how many more shapes exists. I am keen to try all those combinations. This way to see music is very clarifying. Thanks a lot for sharing!
Thank your for this excellent visualization!
excellent description my dude!
Very cool material here! Thanks, for taking the complex and breaking it down for all of us.
That was Excellent! really clarifying .. loved how it explained the way minor chords can form progressions when moving by fourths or fifths, always wondered why that worked so well. I appreciate this!
Glad it was helpful!
This was an excellent intro/explanation. Thanks!
Wonderfully helpful. Thank you. Having an organizational method to apply to concepts aids understanding.
🤘
Been looking into sacred geometry lately and this video blew my mind. I’ve never thought of music theory as geometric patterns.
Very cool!
Same here, flower of life and basic geometry have become one as I now relate math, music, geometry and now the fundamentals of string theory.
thanks man it is totally new perspective to me
Awesome! 🎶
Amazing approach to learning music theory!
Wonderful parallels between Music Geometry and Mathematic... even color (if we know that there are 3 basic color, red blue and yellows) explain the 12 notes. Thank you!
Hey, this is really cool, thanks.
Awesome! Thank you!
Woah! Cool!! Gruvy, far out and very interesting. Thanks a lot!!!
This helps so much thank you!
I always wondered why it was called the _chromatic_ scale. Amazing!
This is so much better than my own color music system. Brilliant ❤
Great presentation!
I liked this. Have you read The Geometry of Music? There is this very detailed textbook about this stuff. I like how mathy and abstract it is, makes more sense this way to me
Brilliant !!! thank you
Thank you George, your explanation is amazing!
phenomenal presentation… absolutely in awe… thank-you….
Thanks -- and I'm glad this helps!
Awesome take on tonal relations. The visualisation really helps to get a grasp on that.
One could apply the same kinda Geometry on rhythm as well!
With that you could actually start from the initial noise/music dichotomy and derive a much more general music theory from it.
If you apply the most simple pattern (on a beat/off a beat) on a some white noise you'd put some order in that.
From there you can go through all possible rhythmic patterns.
If you'd then change the soundwave to a sinus wave you'd have tonal relations.
Another thing that is important to mention is that this perfect symmetry is something that historically evolved in europe and isn't quite the same around the world. But oh well, only so many minutes in video and such vaste field of possibilities. :)
Music is the audible convergence of space and time -- so many beautiful intricacies.
Rhythm is mostly placed on a grid but I've seen it represented in a circle in a way similar to a clock.
I love this. Thank you
I really enjoyed this video. To me, it shows how scales, chords and progressions occur naturally; nobody owns nor creates them. Just like colors . We create art by using these elements in ways unique to ourselves as individuals. Just like a visual artist uses colors. This is true for rhythm and beats as well. Nobody owns them, everybody owns them.
Actually, it is an arbitrary system, it is not 'natural' in the sense that it exists outside of our intellectual constructs. We made it up.
Well said.
@@yru435 Our methods of defining the properties of music may be arbitrary, but it definitely exists whether we acknowledge it or not and it follows the order of the physical universe which we may define but we didn't create
Your A Musical Genius ! 🎼 🎶🎶🎶
Thankyou😂 for the clear explations 🎉I love both art and music😅 this is wonderful Sheila Duke God Bless 😊♥ ❤😊
⚜️this is the guy to listen to⚜️
Thank you Mike George for this wonderful video.
I'm glad this is helpful -- and thanks! 🤘
What about Stochastic music, which is using chaos theory, entropy, Brownian motion and the like to formulate it's structures and such. It is essentially noise. Or some of the proto electronic musics that's uses white noise. I do like the clock diagrams, have made some interesting scales and rows with them. Great video!!
great stuff
Now Your Speaking My Langauge. 🙏
Thank You !!! ✨️✨️✨️
You should show this to Klee Irwin over at Quantum Gravity Research. Some of your patterns closely resemble the E8 Quasi-Crystal lattice that sparked a breakthrough in Particle Physics and linked Emergence theory to discoveries at the CERN facility research
Bravo
Deep but real.
Some small musical examples would've been nice but if you're a musical knowledge nerd this is still very tasty.
Some of the greatest composers and advanced musicians use this stuff daily once it's in your system.
Thanks for sharing.
Thanks! Yes, once you internalize these patterns it all becomes second nature.
❤❤❤amazing bro❤
This is really amazing
🤘
love it, this is badass
Muy interesante. Gracias. Ojalá haya otro sobre progresiones y geometría. Felicitaciones.
Sí, definitivamente.
😁😇👍
Interesting clip,well done
Thanks!
Thanks, Mike. Much love. New sub.
Very cool, Gus. I'm so glad you're here.
These patterns are what John Coltrane scrawled on his circle of fifths. Giant Steps is derived from triangle patterns. Very cool.
Giant Steps is a bunch of 2 5 1s
Yes. 🤘
awesome, thanks
me encanto! Sobre todo la parte d elas figuras! Fan de esta nueva forma de ver la musica!
Excellent
My mind just exploded thanks
This is a fantastic overview. If I wanted to take this approach for learning the fretboard where do I start?
I’ve been trying to learn guitar. It hasn’t been making any sense whatsoever. I was starting to get disappointed and discouraged. As a math/ chemistry amateur This right here is what was needed, a logical patterned relationship of what’s ACTUALLY going on. I’ve watched two videos so far and look forward to many more. My sincere thanks for making these videos.
The scales form a group. Cool. Hadn’t thought of that before.
love it
Thanks for a very interesting video. I think those who like patterns and like to compare them can appreciate this and those who don't can simply let it go by -- no need to denigrate. It's pretty natural to start with 7 tones and 7 colors and wonder about that. Taking it up to 12 tones and 12 colors is great, but it's the circle of 5ths that really makes this work. When you relate the color spectrum and then shift back to the chromatic scale, wow. Every tone compared to its neighbor a half step away on either side, shows very different colors, which would be the dissonance of playing them together. Compare this with the 1-4-5 that show related harmony and similar colors. The geometry is also good; there's very much to run with here.
Thanks, Paul! 🤘
There are also geometric patterns on the instrument that relate to this. For example: the 145 pattern on the fretboard in standard tuning looks like an "L" shape.
Yes!
Saw your shorts, figured I'd check this out, one thing I don't understand about your diagrams is why you choose to differentiate between Circles and Squares for certain notes/keys. I think that's the only thing I'm missing in order to really grasp what you're getting at in terms of the diagrams, because that seems like a relevant choice but I've yet to see you explain why you've opted for that. Was it just to delineate the different steps in the Circle of Fifths as Square/Circle/Square, and then the pattern got rearranged when you reverted back to the 12 tone scale?
I think adding that as an explanation of your metric/methodology, and just slowing down your explanations might make things a little easier to grasp from a first watch-through. Otherwise, very interesting way of looking at music, and the first time I've really seen someone break down music on a geometric level to explain relationships between notes.
I'm also curious as to why you use color theory and choose the colors you choose to represent the notes/keys that you do. Is there any attempt to attach those colors to the emotional connection we associate to them, or is it purely for visual purposes? I feel like that could do with more explanation.
Music,,perfection of sound,,presented in TRUE sense,,with Eastern thougjt,, Mike,,You have unearthed the,,Root Cause of Creation..Evolution and Existence..DrNanda..India
Thank you for this video man, I;'m a blind musician and that is kinda complicated for me since it's focused on the visual part of the music, but it's super interesting from a conceptual point of view.
I gues this has to do a lot with the aesthetics also.
I'm curious how to apply this into proggresive music, like symphonic or prog rock.
I personaly like to experiment infront of the keyboard more than rwritte or draw, even if I don't think geometrically, I explore the actual sound till I find progressions that I rezonate with.
Music is wonderful. Thanks for your feedback.
You have successfully splattered my brain.
At 9:12 - This whole figure is over simplified. For example:
- Some scales have m3 intervals (harmonic minor).
- The circle of 5ths shows related keys, it's primary use is not to to describe progressions.
Waaw. Very interesting
Is there a place to go to download these worksheets?
Great! Can you associate geometry with emotions of the modes? Can complex combinations of geometries sound like songs?
Yes. Check out my "Modes" playlist that dives in. 🤘
thanks
I read somewhere about math and physics and chemistry modeling the universe and you can apply all of these realms to understand the natural occurring patterns in the universe, so this video got me thinking: If we can use geometry to study music we can also apply physics or chemistry right? What if we can think of a way to study music outside of the sound theory? Maybe thats why a bass that displaces more air will sound better than others.
It's an interesting question.
Was really hoping to see some mention on the work Richard Cohn and Dmitri Tymoczko and many others on the subject of geometry and conceptual organizations of chord movement in Parsimonious voice leading. it can go really really deep and I would love if more people could look up these names and the subject matter to get more eyes on this. a good book to start with is by Richard Cohn called: "Audacious Euphony". its a tough academic topic but its handled so well by Richard and with a nice amount of humor to break up the prose and keep the reader interested in what would otherwise be a dry analysis. also the papers written by Dmitri have been an endless supply of inspiration for myself and how I view musical structures especially when I relate them to other equally fascinating topics like Bebop and Barry Harris' teachings on harmony.
ty for these references I have been looking for such things
If you're not familiar with it already, I suggest having a look at Thomas Echols' "The Tesseract" via czcams.com/users/TheLabyrinthofLimitations. Fun, fascinating, and very valuable -- especially if you are a Barry person... 😉
This stuff is my absolute favourite stuff. What is some book you’d recommend for really understanding harmony and rhythm? And it’s physics and geometry
What do you get when you drop a piano down a mineshaft? A-flat minor.
Love it.
Amen
Can you map these to piano keyboard and guitar fret board and demonstrate some examples? There's a couple layers of abstraction here where practical examples would be helpful.
Definitely. This video is an intro to these patterns. The playlists on my channel dive into lots of specific applications on both piano and guitar. Also, more to come. 🤘
Hi, I joined your locals community but I can’t find these diagrams over there? Thank you
this last part is like the layout of the left hand of the piano accordion!!
🤘
I don't understand English.. but watched the video full length... Eeeeeh true art
Mike, why in the circle of fifths, the counterclockwise direction from c minor is intervals of fourths? 10:16
Nice video! Thanks a lot.
My video on "Why the circle of fifths is important" explains these relationships in more detail.
Good work! Giovanni instructor Long Island Drum Center
Great video, I like the end where you specify the uses for the different relationships for the internals (scales/chords/progressions); however, my brain still has a gap in understanding the rules for why arranging the notes as a circle of fifths would indicate colors as a contiguous color wheel, but chromatically they are far apart.
What rule makes the chromatic wheel have distant colors, but the circle of fifths has adjacent colors?
Thanks for your feedback -- and excellent question. This video explains: czcams.com/video/9H4Q8WU5VJk/video.html
there's different scales...aside the Major scale in 12 different PITCH/keys
all the circle 5th dose is shift one at time in a certain PATTERN.
What if i show these patterns instead???
shift notes one at a time this way
b6
b3
b3, b6
b3, b6, b7
b3,b6
b6
b3
or this
aeo maj7
dor maj7
phry maj7
MIX maj7 ( circle of 5th)
loc maj7
these are just modes from different scales
aeo dor
aeo b2 dor b2
aeo b5 dor b5
aeo#4 dor #4
im just going to raise b7 into maj7
it's just PATTERNS,.....people use different TERMS
but....these are sort of common terms from theory
Dont get hung up on terms
its just more patterns you can play with...mix/match
sort of like Nature or FLOWERS.
FLOWERS has repeating PATTERNS
different flowers has different patterns
some cross breed to get mix/match cool patterns
aeo maj7
aeo b2 maj7
aeo b5 maj7
aeo #4 maj7
Harmonic min melodic min
Harmonic min b2 melodic min b2
Harmonic min b5 melodic min b5
Harmonic min #4 melodic min #4
There's 7 different modes within each scale Ive listed
Theres MORE other different scales to fill in the gap
in other words to make the circle SMOOTHER
if you see music in colors ( I do sometimes)
it's just more different shades of colors you can paint ART with.
@@mikegeorge360 yup, that video autoplayed right afterward and answered my question 😅 great stuff!
If you learn aside the BASIC...you can play all 12 notes.
ALTER all 12 note/chord degree into any type of chords you want
and still remain in the same key.
I explain it in C MAJOR/Amin
There just guides ..not RULes....just patterns
PUSH UP from A relative minor towards A MAJOR
b3 b6, b7
b3, b6
b3
b6
2, 4, b6, 7 are all possible full dim
if you use full H/W
you can stack MAJ, min7 , dominant, half or full diminished
every b3 INTERVALS
THERY'RE SYMMETRICAL
THEN vamp the full dim h/w over V chord
this is common
G7 E7
.....Bb Db...............aka n6 chords
G#, C, F# = italian
G#, C D F# french
G# C D# F# german
you also use
lyd #6.....ly #5 #6....lyd #2 #6 ion #6
in a nutshell stack anytype of chords
Db............Eb............Gb........Ab.........Bb
b2............b3............b5.........b6.........b7
then stack full dim h/w
over I or vi
using the n6 chords
A min Bb7 into Eb min Gb MAJOR.....notice 6 o clock of C MAJ
C Maj Db7 into Gb MAJOR/Eb min
to get back to C Major from Gb MAJOR
G7 is the n6 chord of Gb MAJOR
Eb min E7 into A min
its just patterns
Hey man, cool video. A little over my head even though I have seen lots of music theory videos and circle of fifths videos. Any chance there is a diagram I can print and keep by my piano so that when I play and improvise I can start being my mindful of the geometry while I’m playing?
Thanks for your feedback -- and yes, there's a link in the video notes to these diagrams. In the community, there are many others on the circle of fifths, etc. Cheers.
@@mikegeorge360 I can't afford more subscriptions, but I Like your videos. I'll just muddle through. You do great work, money is just too tight and unpredictable these days
I hear you. If you can DM me in the community, I'll send you a code to access all the stuff for 30 days.
"music is geometry" No "hello", no "Hi, I'm whoever", then "lets jump into it". That's a clear sign of wisdom.
What did I just read? 😂
@@arrestedshrimp lol xD the guy in the video doesn't introduces himself, nor he doesn't say "hello"; starts straight with that statement "music is geometry" and jumps into the topic. Just amazing!
Cool stuff with piano and guitar lessons together I🙂🙂😎😎
Interesting idea, but without any applications it's like.. ok you've presented a construct assigning colours and positions on a circle to notes, but does it help? How do you use it to help? How about describing the sound of colour, or the sound of shape?
Are you able to explain the John Coltrane wheel based on this? It would be very cool.
Having to learn and visualize geometric shapes as related to music might seem challenging.
That was an invaluable theory lesson, one of the more profound and useful I have ever had. Thank you
What, specificaly, did you get out of it?
How, specifically, have you used this information in your playing/composing?
I thought this was a cool video on a spiritual/philisophical level, but I failed to see and practical use.
@@ernie5229 the connection to Mathematics. It offers a whole new view of music theory from a conceptual level.
@@therobmeister Such as?
Reminds me of astrology. That is the original cyclical pattern that people paid attention to. It has squares and trines and oppositions just like this.
☀︎!
What about pentatonic scales? What about quartal harmony?
I mean, if this is how you make sense of music that’s cool, and if thinking about it this way inspires you even better. Music isn’t geometry though. Geometry is the mathematics of space, music is the mathematics of time. There’s a dialogue between the 2 but to say one is somehow derived from the other just doesn’t sit right for me.
I did think you might use this to talk about negative harmony though, I think it does help with that.
I’ll be sure to post about this, including pentatonic scales, harmony, etc. Music theory as much about space as it is about time. Even separating the two can be useful, in stages.
@@mikegeorge360 Well… As Xenakis said when asked why how a trained architect could be composing music “architecture is transformation in space, music is transformation in time”. He wasn’t really using what we would think of as “music theory” but certainly the spatial concept exists within sound and composition.
In any case I shall look forward to seeing what you have to say. More than anything, I think it’s fascinating to see how we interpret and understand music, or perhaps his we attempt to communicate our understanding.
The best way is probably through dancing to it though 😅
@@captainskylight942 Yes! 🤘
I agree, what a complete bore. Music theory is one thing and mathematics obviously play a huge part of it. But geometry!!. Music is a wonderful complex subject and like art it can be expressed in many different shapes and colours. Keep the geometry for chords and arpeggios.
I was just having this discussion in the music theory discord server, and it's amazing how many people think the circle is useless. I'm guessing they haven't gone much beyond using it as a tool to remember flats and sharps.
It’s very useful for sure!
I think it's useless I a way that when I create music I'm not thinking of it. But I find if music sounds good it's used . So you could go back and look and understand how the notes work well .. But yah as a person creating it isn't best to focus on .. it's best to just let whatever flow out and then judge or correct it afterwards with theory
It totally makes sense, but I still struggle with grasping it.
Infinite number of ways to arrange 12 notes is mind blowing to say the least!
Are successful song writers just lucky to have stumbled onto a combination that just works? Skill is obviously involved too, no doubt.
Seeing music in colors is helpful if you aren't color blind like me! LOL
I'm glad this helps. Auditory learners have more a knack for understanding these patterns. That, and many songwriters just know more than they let on.
Hey dude, you should check out this video called Sounds of the Mandelbrot Set by CodeParade, I think it might freak u out a bit lol
Merci beaucoup for this.
I went through my whole life until 65 saying I was born with two left ears. But last Spring I decided to buy a piano (like my Mom, at 65 yoa) and have started learning about music. This was a great presentation...except for the colours. I am colour blind and pastel stupid.
Are there musicians that are also colour blind? Does colour perception have anything to do with musical skills? i've asked many people and no one has given an answer. Has there been any studies looking into this?
Color perception helps, but is not an absolute barrier to entry.
Great video 🙂 to play well it's essential to understand music theory; mimicking and imitating other people will only take you so far.
Well said!
Move in with me! Ill feed you :) great video thank u
My english is bad, but i undetand every Word, because you speak well :-)
🙏 🙌
And if you arrange all the scales lob sided, they will form an ellipse too!
I was curious if circles and squares for each note had some meaning but it doesn’t really matter because none of it made any sense. I think I will continue with rote memorization, hopefully interspersed with moments of insight. I’m sure you are brilliant. But I don’t think the overlapping the color wheel is going to help me understand the fretboard.