Show HN: A geometric analysis of Chopin's Prelude No. 4 using 3D topology

47 pointsposted 3 days ago
by jimishol

11 Comments

anigbrowl

14 hours ago

You would be better off posting the Github landing page with pictures and video links, since the number of music theorists on HN is probably in the single digits: https://github.com/jimishol/cholidean-harmony-structure/tree...

Honestly, I don't think the observation of accidentals as a way of creating tension with an established harmony is especially novel, but I do like the 3d visualization despite its limitations.

jimmySixDOF

9 hours ago

Yes. I have to admit I was expecting something a little more visual and leaning into the idea that sound is a 3d object changing shape through time. Thanks for the better link in that respect.

madcaptenor

3 days ago

Would be nice to have a link to the music itself, both recording and sheet music.

This is the E minor prelude - I happened to recognize it by key but not by number.

See e.g. the Wikipedia article (https://en.wikipedia.org/wiki/Prelude,_Op._28,_No._4_(Chopin...) which has a recording embedded, although there are surely better ones.

Sheet music from IMSLP: https://s9.imslp.org/files/imglnks/usimg/3/3c/IMSLP319636-PM...

jimishol

3 days ago

Thank you! That is a crucial omission.

I avoided including the MIDI/Score files in the repo to avoid licensing issues, but I have updated the analysis document immediately with the Wikipedia and IMSLP links.

The ideal experience (as shown in the README gif) is actually running the visualizer alongside a score editor like MuseScore via MIDI port sniffing, so you can see the geometric cursor sync with the sheet music cursor. But for reading the text, the recording is essential context. Thanks for the links.

altmanaltman

8 hours ago

Chopin's music is in the public domain and can be shared without licensing. Only particular recordings of the music are copyrighted/licensed by artists/labels.

IsTom

3 hours ago

There's two issues with that. Sometimes people publishing sheet music alter it and then they can claim copyright. Second is that that old original sheet music can be illegible to modern musicians – it has evolved over time.

jancsika

15 hours ago

> The tension arises because the "Seventh" (A) is not a new addition, but a residue of the previous geometric state.

That residue in m.2 is common-tone voice leading. It's a technique that was used throughout the common-practice period to avoid tension, not introduce it. I'd bet the progression in m. 1-2 could be found in the figured bass at the beginning of a slow movement by Telemann or another Baroque composer.

Speaking of Baroque composers-- in the Coda of the 4th Ballade, Chopin has an exquisite passage of basso continuo plus accompaniment that would be right at home in a minor key aria by Handel. Except that:

1. There's no melody being accompanied.

2. It moves about 4x faster than it would have in the Baroque era.

I'd love to see a pianist play that passage by suddenly looking up and frantically nodding cues to an invisible, demonic singer.

efitz

15 hours ago

I would love to see this but don’t want to run the code. Could you link a video? I understand if you have to omit or mangle sound to avoid strikes.

kavalg

10 hours ago

This is very interesting! I can't wait to run it on some of my own compositions...