Hearing Pascal's Triangle Mod 4 (Now with a BEAT!)
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- čas přidán 20. 10. 2023
- One in a series of videos in which I musify Pascal's Triangle under different moduli. Mod 4 ends up being like the Sierpinski triangle from mod 2 nested inside itself. To learn more about these patterns and how I got into this, check out the main video:
• The Secret Music of Pa...
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I dabble in generative music. A problem with ever evolving more complex patterns is "form". We tend to just stop somewhere as things get ever more complex. Meanwhile... the most common element of maybe all music is "return". The easiest return for generative music is just to go backwards to the start. As arbitrary as stopping in random place. BUT... that is just an easy operation... But trying to cater to human interest we should look to "resolve" these partial series.
Very thoughtful comment! I tried to have each of these end on the completion of a fractal pattern, which gives it a bit of a sense of a destination. But you're absolutely right about the gulf between the infinitely growing complexity and our human need for narrative and resolution.
How about a mapping to the overtone series? E.g.
0: A
1: C#
2: E
3: the 7th partial (G half flat or something)
For each number n you divide by you could take the partials from n to 2n-1. That way, numbers with a common factor that is a divisor of n, would sound consonant after each other.
I have thought about this actually, and completely agree about the reasoning. The reason I did it this way is just that I liked the sound melodically. But in terms of meaningful mathematical relationships, an overtone series does have that nice property of making numbers with a common divisor sound related, as you say!
1:51 the best row till now!!
Sounds just like every solo in a Dream Theater song
The first part sounds like something you would hear from Aladdin
cool
Second ❤