I wonder if there would be a good way to see if songs tend to "orbit" points of stability and instability on such a layout. Always cool to see patterns displayed differently
im no science nerd so take my opinion with grain of salt. but i do know music, and if there was a "point of stability" i'd probably be either the tonic (in c maj that'd be C) or the dominant (in c maj thats G) points on instability would be the leading tone (which would be B in c maj) but it would probably depend more on the type of music, the mode and the music itself. hope i helped :)
@@troliskimosko ...no. That's literally the entire point of the video. That's why the first word of the title of the video is "why". He's (at least he thinks he is) presenting reasons why pianos should be made out of mobius strips.
@@nuberiffic I’m seriously doubting you watched the entire video if your takeaway was that he thought it would actually be more practical to make pianos out of mobius strips. He merely presented some interesting overlapping convenience that would arise from a design like this, but not making an actual case for why this would be more practical than a keyboard.
Almost! 3-note chords would take place take place in a 3D space with similar boundary conditions to a mobius strip, so the surface of a Klein bottle wouldn't be enough degrees of freedom. You would need to move your hand through a third dimension to play an instrument like that (maybe you could figure out a way to make it with VR). I think Tymoczko's paper describes what this space looks like if you're interested.
I found your channel when you submitted your first video to SoME2, and have been following ever since. You've become one of my favorite channels on this whole platform. Your presentation style is so personable and charming, the topics are thought provoking yet familiar, and I always feel like I've learned something new. Thank you for making such good videos, and please keep at it.
Mind blown. I came here for the music theory, but also just happen to work on a robotic arm! Did not expect configuration space to crop up here, but it totally makes sense.
You can use hairless midi to convert bytes from arduino into actual midi messages. Then you can use loopMidi to create a simple midi channel for DAWs to read. I used this to make a capacitive plant instrument, using VCV Rack 2 with modular synthesis
n(n+1)/2 is my favorite function ever, because it’s the first function I ever found naturally, nCr is mostly just a continuation of its concepts, but a regular use of it gets an automatic like
I've always been a fan of your music in the videos, but this Claire de Lune variation of your ending is something special imo. The message I've always gotten from the ending theme is that sometimes things seem random and arbitrary, but it's always more complex and structured than it seems at first glance. Pairing it with Claire de Lune really emphasized this, but also gave me a comforting feeling that you dont have to be perfect to be beautiful and harmonize with others. I also really liked your melody in "Random Rhombus Tilings", so this is my odd little request. Would you be willing to upload or share your music, or is there anywhere I can find it?
I guess I've been waiting on uploading music because most of it is in the form of short, unfinished snippets that I use for background. I would like to release it only once there is enough of it, or I would like to rearrange some of it so that it fits in a full piece. Whatever the case, I hear you and you can expect me to release it at some point!
One of those videos where the quality of execution and novelty makes me feel almost emotional. 😳 It is amazing seeing such an innovative video that covers a multitude of things I love learning about. Also Clair de Lune is one of my favorite piano pieces ever. Easily one of the top ten videos I have seen this year on RU-vid. Great!! You are a modern day Renaissance bird!
Cool video! Would be neat if for the visualizations you colored the grid based on the combination of black / white keys that went into it eg, 2 black keys are black, black/white key is gray. I think it would make the grid pretty cool looking
It was very interesting to see the music theory behind that piece represented in a 2d space like that. It would be cool to see other works analyzed in that same way or in a 3d space for triads. The visuals were definitely really awesome, and I bet a repeated tiling would look cool too.
You’ve given me a whole new meaning to the importance of 3,6,9 in geometry!! Thank you this is so freaking cool. I want this to become a standard instrument in like, band, or something haha
Mmm. Yes, I can't describe with words how much I like this. I certaintly didn't expect to apply what I learnt in Topology class to making an instrument. I study maths and have played the piano all my life. Thank you for this.
6:50 using a higher resistor for the capacitance sensor helps. The change in value when you touch the sensor becomes more noticeable and easy to detect in your code compared to changes measured from various disturbances.
😂 Brilliant … I know it’s just an experiment, but I was reminiscing about the Thermion and how Tradition rejected it before the aesthetic was realized. Your closing number brought a tear to my eye - Newness is a kind of loneliness. Keep Playing with your world.
Idk how the videos you make are so consistently good and interesting despite always being around 10 minutes long. Incredible stuff. Your animations are super cute and helpful too. Love your work!
What an incredible project! I haven't seen any other channel explore the interplay of mathematics and music from such curious angles! Please keep making videos! ❤
I am an electronic engineer and also a developer, 3D modeller, 3D printing specialist, musician and a technology artist. I really love to collaborate with you to made the instrument!!
I really appreciate how all of your videos topics are super interesting. It feels like a major factor is the way you go about presenting and connecting different topics.
Now we need a playthough of octavarium by dream theater on this. One of it's central themes is "everything comes full circle" (including the album itself and all of its other themes). It's also a sick keyboard album.
You really do be instilling a new appreciation of topics like topology and or Music Theory in people with these vids tho. Got me with the vid on Non-Euclidean Geometry and the shape of the Universe.
Very cool! A few of thoughts: 1. Your Clair de Lune performance included some triads and tetrads shown by the combinations of blue and orange key presses. The simultaneous use of two hands on the physical Mobius strip cause conductive coupling between the two capacitors. I wonder how this would not result in some sort of failure to parse the raw electrical inputs. For that matter, I have the same question about the physical coupling of the two dimensions of the configuration space of the Theremin. 2. With the human body presumably not connected to a ground or reference voltage, how does your circuit even detect the capacitive coupling with the finger? 3. I'm thinking that, given the limited number of available grid locations on the physical Mobius strip, it might be good to program the synthesizer to produce Shepard tones so as to avoid forcing intervals definitively into unintended octaves... although I admit that with Shepard tones, the principle of proximity in perception would render the "up-ness" or "down-ness" of intervallic perception by measure relative to the tri-tone.
The visualization of the interface at the end reminds me of Harry Partch's tonality diamond, the basis of his 43-tone, unequal, and symmetrical justly tuned set of pitches. I think there are some interesting topological elements to his theory that are way over my head, but check it out if you haven't!
Ok, I've been subscribed to your channel for like 3 months and I followed every video so far and understood all of them (enjoyed it very much btw). But I just couldn't get this one. I guess I need more music background. Anyway, the song at the end is beautiful
This is absolutely incredible and thank you so much for doing such awesome stuff so consistently. I'd love to see some four-note voice leading displayed by two positions on the last diagram, especially perhaps some Bach (that particularly adheres to Fux Counterpoint, I guess) and maybe some Barry Harris bebop scale voice leading. I think mapping jazz there has a lot of interesting implications as another harmonic analytical tool. :) it'd be fun to see like, a heat map imposed on this kind of thing for which voicings appear frequently in a style of music, or something. Regardless, this is just absolutely wild and I really appreciate you taking the time to make it! Thank you!
I think the end would be improved by showing the grid "tiled" out beyond its bounds, matching copies up along matching edges, maybe half greyed out to keep the main space that the tiles come from clear. I think it would better illustrate how many of the progressions are movements along lines in the grid, as you can lose track of them as they go across edges.
An explanation of what you were trying to show with Claire de lune at the end would have been helpful, cause i have no clue what kind of patterns i should have seen tbh. When playing that piece on the piano you can very very clearly see the parallel movement of the two voices (mostly in thirds, in the beginning) but i failed to find any useful information in the visualisation with your keyboard. Of course i have 15 more years of experience on a piano, but thats where the explanation could have been helpful 😅
it would be cool (and also impossible) to do the same thing with a Klein bottle where the extra dimension describes the space of offsets between pairs of notes (their distance from each other on the point circle)
For a moment there I visualized a player piano roll with one side and a tune that plays (but does not repeat) as the hole pattern is flipped left/right.
