Julia Sets and the Pure Tones of Roshar

[Crylorenzo he/him]

A while ago it was discovered that the continent of Roshar exactly matches a 3d slice of a 4d Julia set. For those who didn't know, go to https://en.wikipedia.org/wiki/Julia_set and watch the video until you see Roshar. Now, I am not familiar enough with advanced maths myself to do this, but I imagine there is an equation for each Julia set and I was wondering if anyone would know if there's any way with the information we now know about the pure tones of Roshar to make even a guess at the equation for Roshar. I also know that if you type in Julia sets and music into google there's a scholarly article about how Julia sets can create musical pieces (think the rhythms of each shard, maybe?). I'm sure cymatics connects with all this too.

Whatever you know or whatever you theorize (or whatever posts that have come up about this before) I'd love to hear it!

[Zapata]

16 minutes ago, Crylorenzo said:

For those who didn't know, go to https://en.wikipedia.org/wiki/Julia_set and watch the video until you see Roshar.

It's this set, at this frame:
 

[Guest]

I'm pretty familair with this. I took a Dynamic Systems class in grad school (I got M.A. in Mathematics) and a couple of buddies were able to write code that could turn any fractal into music. They usually sounded like an old NES game. Basically, think classic Legend of Zelda background music played on electronic instruments. I'm going to go look for their Github repository and might convert that frame to music then upload it. Let me know if you like that idea. 

Edited October 19, 2021 by DougTheRug
grammer and clarity

[Quantus he/him]

37 minutes ago, DougTheRug said:

I'm pretty familair with this. I took a Dynamic Systems class in grad school (I got M.A. in Mathematics) and a couple of buddies were able to write code that could turn any fractal into music. They usually sounded like an old NES game. Basically, think classic Legend of Zelda background music played on electronic instruments. I'm going to go look for their Github repository and might convert that frame to music then upload it. Let me know if you like that idea. 

You do the work of the gods, my friend!

[+Invocation]

44 minutes ago, DougTheRug said:

I'm pretty familair with this. I took a Dynamic Systems class in grad school (I got M.A. in Mathematics) and a couple of buddies were able to write code that could turn any fractal into music. They usually sounded like an old NES game. Basically, think classic Legend of Zelda background music played on electronic instruments. I'm going to go look for their Github repository and might convert that frame to music then upload it. Let me know if you like that idea. 

I'm interested to see what this will come out as. Hopefully something hilarious.

[Frustration]

1 hour ago, DougTheRug said:

I'm pretty familair with this. I took a Dynamic Systems class in grad school (I got M.A. in Mathematics) and a couple of buddies were able to write code that could turn any fractal into music. They usually sounded like an old NES game. Basically, think classic Legend of Zelda background music played on electronic instruments. I'm going to go look for their Github repository and might convert that frame to music then upload it. Let me know if you like that idea. 

Do it.

[Shinwarrior]

1 hour ago, DougTheRug said:

I'm pretty familair with this. I took a Dynamic Systems class in grad school (I got M.A. in Mathematics) and a couple of buddies were able to write code that could turn any fractal into music. They usually sounded like an old NES game. Basically, think classic Legend of Zelda background music played on electronic instruments. I'm going to go look for their Github repository and might convert that frame to music then upload it. Let me know if you like that idea. 

I also would like to see you go ahead with that. 

[Crylorenzo he/him]

That would be incredible - please do!

[Going_North_cal]

Oh my gosh, actually being able to hear the Pure Tones of Roshar

That'd be awesome!!

[Narcoleptic Axolotl he/him]

Well, Khan Academy has no videos on Julia sets, so unfortunately I cannot help you.