A geometric analysis of Chopin's Prelude No. 4 using 3D topology
OP here. This is a geometric decoding of Chopin's Prelude No. 4. I built a 3D music midi visualizer ( https://github.com/jimishol/cholidean-harmony-structure ) and realized that standard music theory couldn't explain the shapes I was seeing. So, I developed the Umbilic-Surface Grammar to map the topology of the harmony. This document demonstrates that the prelude's tension isn't random, but a rigorous conflict between 'Gravity' (Station Shifts) and 'Will' (Pivots). I am looking for feedback on the logic—specifically from anyone with a background in topology or music…
A geometric analysis of Chopin's Prelude No. 4 using 3D topology launched on February 20, 2026 with 50 votes, #578 of 16,627 launches that month and more than 95% of that year's launches.
In plain words
A geometric analysis tool that visualizes Chopin's Prelude No. 4 using 3D topology and MIDI visualization. The creator developed the Umbilic-Surface Grammar framework to explain harmonic tension through topological concepts—mapping harmony shifts as "Gravity" and "Will" rather than relying on traditional music theory. The work includes a 3D music visualizer and analytical documentation. It is aimed at people with backgrounds in topology or music theory interested in exploring unconventional approaches to harmonic analysis.
written from the facts on this page · September 2026
From the sources
Cholidean Harmony Structure. Contribute to jimishol/cholidean-harmony-structure development by creating an account on GitHub.
In the maker’s words, at launch
OP here. This is a geometric decoding of Chopin's Prelude No. 4. I built a 3D music midi visualizer ( https://github.com/jimishol/cholidean-harmony-structure ) and realized that standard music theory couldn't explain the shapes I was seeing. So, I developed the Umbilic-Surface Grammar to map the…
Does a similar job
all alternatives →
See chords as flags – Visual harmony of top composers on musescoreNov 2025 · rawl.rocks · ▲129I designed a relative piano-roll-based music notation. I used 12 colored arranged in a specific way to make visible the main effects and oppositions of Western tonal harmony. The tonic is always white, so a manual annotation/interpretation is required for each MIDI file. All chords are flags of three to four colors. Minor mode is darker, major mode is lighter. Colors are arranged in thirds. I sorted the pieces from simple complex harmony. I also wrote a bit of text to explain what you may see. There's also a corpus of structures: hyperlinks of tags that allow you to find similar…
- ICInfinite canvas notes in the non-Euclidean Poincaré diskJun 2026 · uonr.github.io · ▲188
Hi! This is an infinite canvas note-taking tool where notes are laid out in a non-Euclidean, hyperbolic geometric space. As you drag and navigate through the view, you’ll experience a unique fluid distortion that naturally leverages your brain's spatial memory. I’ve been obsessed with the concept of space in HCI for years. Many modern UI patterns are essentially workarounds for the lack of screen real estate. While researching zoom-based UIs a while back, I stumbled upon old HCI papers that used the Poincaré disk model of the hyperbolic plane to organize data. It elegantly projects an…
I built a synthesizer based on 3D physics2025 · anukari.com · ▲512I've been working on the Anukari 3D Physics Synthesizer for a little over two years now. It's one of the earliest virtual instruments to rely on the GPU for audio processing, which has been incredibly challenging and fun. In the end, predictably, the GUI for manipulating the 3D system actually ended up being a lot more work than the physics simulation. So far I am only selling it direct on my website, which seems to be working well. I hope to turn it into a sustainable business, and ideally I'd have enough revenue to hire folks to help with it. So far it's been 99% a solo project, with…
Browser-based interactive 3D Three-Body problem simulatorNov 2025 · trisolarchaos.com · ▲249Features include: - Several preset periodic orbits: the classic Figure-8, plus newly discovered 3D solutions from Li and Liao's recent database of 10,000+ orbits (https://arxiv.org/html/2508.08568v1) - Full 3D camera controls (rotate/pan/zoom) with body-following mode - Force and velocity vector visualization - Timeline scrubbing to explore the full orbital period The 3D presets are particularly interesting. Try "O₂(1.2)" or "Piano O₆(0.6)" from the Load Presets menu to see configurations where bodies weave in and out of the orbital plane. Most browser…
I modeled the Voynich Manuscript with SBERT to test for structure2025 · github.com · ▲381I built this project as a way to learn more about NLP by applying it to something weird and unsolved. The Voynich Manuscript is a 15th-century book written in an unknown script. No one’s been able to translate it, and many think it’s a hoax, a cipher, or a constructed language. I wasn’t trying to decode it — I just wanted to see: does it behave like a structured language? I stripped a handful of common suffix-like endings (aiin, dy, etc.) to isolate what looked like root forms. I know that’s a strong assumption — I call it out directly in the repo — but it helped clarify the clustering. From…
- VTVisualizing the math that powers 3D character animation2022 · diegomacario.github.io · ▲238
Hi everyone! I'm the author of this project. I wrote it because I think that the math that makes characters move in games and movies is incredibly beautiful, and I wanted to give others a glimpse into it. It's crazy to think that quaternions, an abstract mathematical tool discovered by William Rowan Hamilton in 1843, would be so perfectly suited to solve hard problems in the world of 3D character animation more than a hundred years later. The story of how he discovered quaternions is also beautiful. Here's an excerpt from Wikipedia: "Hamilton was looking for ways of extending complex numbers…
More dev tools this month
the category →
Contribute to oosexgang/hackios-xnu-kernel development by creating an account on GitHub.
Dev tools · 1d ago · github.com
open-source IDE for thoughtful software design. Contribute to devdotfast/whiteboard development by creating an account on GitHub.
Dev tools · 29d ago · github.com
Contribute to reladraw/reladraw development by creating an account on GitHub.
Dev tools · 27d ago · github.com
OpenBot▲362Grok Bot alternative: free, local, open-source, multiplayer
Dev tools · 25d ago · openbot.run
Talanoa▲346Hi HN, I’m a fullstack developer, and honestly, I’ve lost count of how many side projects I’ve worked on over the years. But one idea kept coming back to me: a different kind of email client. It first came to me in 2014: “What if we could handle emails more like conversations?” Every year, I’d revisit this concept in my “Build Notes.” Ten years later, no one had built exactly what I had in mind — so I finally decided to do it myself. That’s how Talanoa was born. I wanted something focused on people, not timelines. I was tired of marking messages as unread just to remember to reply later, or…
Dev tools · 22d ago · talanoa.email
Source: Show HN post ↗ · launch text quoted in part
Launched alongside, February 2026
the whole month →
Lovon AI Therapy▲801Feel closer and have more fun with your partner every day!
AI · Feb 2026 · lovon.app
Hello my name is Ben Ward for the past 3 years I have been remastering the financial game Wall Street Raider created by Michael Jenkins originally on DOS in 1986. It has been a rough journey but I finally see the light at the end of the tunnel. I just recently redid the website and thought maybe the full story of how this project came to be would interest you all. Thank you for reading.
Work · Feb 2026 · wallstreetraider.com