Hearing Pascal's Triangle Mod 10 (Now with a BEAT!)
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- čas přidán 20. 10. 2023
- The last (?) in a series of videos in which I musify Pascal's Triangle under different moduli. Mod 10, like mod 6, is complicated because 10 is a composite number, and now even more so because of all the different pitches. 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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Honestly, seeing mod 12 would be great purely for having the full traditional 12 tone scale present.
I second this idea, maybe 88 for the 88 piano keys hahahaha
It's also interesting in this case because it has so many factors.
... and then mod 31 with 31 equal divisions of the octave, lol
if they do 13 use the Algo-Trideci Base: 01ɣ23ɮ45ᔭ6789👩👧👦
After all this chaos I think we should have a modulo 1 as an April fools prank
30 would be very interesting since it has three distinct prime factors, but how to sonify that seems like a tough problem.
Harmonic series or 31edo
@@antoniusnies-komponistpian2172 30 Tet
I love the sad cat mountain sitting in the middle 😂
This does seem to be converging roughly to a minor key ... desperately trying to resolve to the key of that highest note ... yep ... you DO resolve that out before the end!
Would love to hear as many as you want to make.
How about a video containing all of them without text? To my adhd brain, this is brilliant study music :D
This is more or less what a Dream Theater jam session sounds like 😂
I give you ideas for futur videos : you could do the beat and pitch maping for each iteration of the following séquences : conway "audio active" séquence,
Kolakoski séquence
MOD 10 in 10 EDO tuning? But really, I think there's a lot more you could do apart from directly mapping numbers to pitch. Last month, I made something nice (well I think so at least) based on counting in binary (which has a strong relation to Pascal' s triangle, since the numbers in Pascal's triangle are related to the chance of throwing a certain combinations of heads/tails), where the 1 and 0 in the binary representation are interpreted as a fixed large/small interval and chords/arpeggios are made from stacking the intervals as indicated by the binary numbers. It sounds very complicated trying to explain the process in words, but it's actually quite simple if you see how it 's done and the resulting music sounds much better than I had dared to hope.
You have to go to 12, since that is all the semitones
cool
Is trhis related to Wolfram's cellular automata?
Automaton 90 (all 0s and one 1) produces the mod 2 case, actually- you just mean for a bigger modulus?
It is reminiscent to cellular automata. Although this is symmetrical, and often the triangles are upside down with cellular automata.
Technically since Conway's Game of Life rules are Turing Complete, you can make this the hard way. But I don't think that's what you're asking for, since that would make Minecraft just as related since that's also Turing Complete.
I think if there is a rule for cellular automata that generates this exact pattern, then you would've found the mathematical equivalence between Pascal's Triangle and Cellular Automata. That would be the relatedness you're looking for
Sounds like your average Rings of Saturn song to me 👽
There is a lot of zeroes here
Now do mod 666 and then mod 777 to triumph.
Pretty Tree
real