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I've been looking at music over the last year or so, bits of basic music theory. As a child I had no idea how linked to maths it was, and how much easier music is once you realise that it's just applied mathematics and touch typing

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I've been doing the same. Are there any resources you've found particularly helpful? As a true beginner, the Music Matters YT channel does a great job of giving enough of the Why's without going so deep as to completely lose me.

https://youtube.com/c/MusicMattersGB

My music theory teacher used to say that that music is the only art that's also a science. I think this headline should not be surprising to anyone who reads music.

I see philology/linguistics as quite science-y too. You can argue that's just the building blocks of the art (literature), but so is the science-y side of music (which we call "musical language" in Spanish conservatories, see the parallel?) and mostly deals with "syntax" and historical accidents inherited from the western Common Practice Period.

The artsy side of music is very much un-sciency and mostly rationalized post-hoc.

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