Set Theory: What it is and why I use it to compose - Part 1

Hi! Welcome to Compositium! I’ve decided to make a series of videos on the use of Set Theory to compose, in order to go a little deeper into this topic that I briefly explained in 2017, in my video “Using Set Theory to compose a duo for flute and guitar”. In this first video I explain some basic concepts about this theory.
Errata
9:59 - +4 is not a minor third, but a major third! (Thanks Rafael!)
0:00 - Intro
1:20 - A bit of history
3:01 - Pitch-class
3:52 - Modular arithmetic
4:39 - Set
6:25 - Pitch-class set
7:34 - Prime form
9:41 - Musical operations
You can also read a written version of the content of this video on my blog:
antoniogervasoni.wordpress.co...

[@jochan7173]

Thanks a lot!

[@pablovilla7539]

😍 got to channel on the right time!

[@PhucNguyen-yn7ng]

Me too (2023)

[@moviechilltime123]

you mention that the result is divided by twelve, result of what operation? What is being done and why? What does this look like?

[@AntonioGervasoni]

Hi! Yes, that's where I talk about mathematical operations with sets. Let's say I want to transpose a pc, say 9, a perfect fifth up. What I have to do is add 7 (7 semitones make a perfect fifth) to 9. The result is 16, but 16 is not a pc (only the integers 0-11 are pc's). Of course, you would immediately say that 16 is equal to 4, because it's like going from the 12-hour system to the 24-hour system. But suppose it is a much larger number, arising as a result of a very complex operation. How would you find the equivalent pc? Well, you just divide the number by 12 and keep the remainder, which in this case is 4.

[@moviechilltime123]

@@AntonioGervasoni Thank you! You're a treasure!

[@CaioDanielNunesSantos]

I thought it would be a discret mathematics class

[@RafaelLeonardoJunchaya]

En 11.12: +4 no es una 3ra menor sino mayor.

[@AntonioGervasoni]

Tienes toda la razón! Incluiré una errata en la descripción. Gracias!