A lot of people claim that music is just math and I don't understand why. Is there any facts behind this claim? It angers me when people make this claim and when I ask them to explain, even when they can't they don't see they are wrong.
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There are many mathematical aspects of music, but there also many non-mathematical aspects that are inherently cultural.
As an example of a "math aspect", take a look at harmonics: we like hearing sounds that produce the "same" frequencies, and these are just integer multiples of the basic frequency that is being played. Another example would be that of equal temperament, which creates a semi-optimal distance between notes, such that the possible harmonies are maximized.
That being said, the actual number of tones in an octave as well as the choice of scale are completely culture dependent - Western ears are used to 12 tone octaves and certain scales but not others, in what seems to be a rather arbitrary choice. So I think it's fair to say that music is definitely not "just math" - it's very strongly tied to the culture we were brought up in rather than to some mathematical formula.
Additionally to he two answers given so far: I think the main link between maths and music is hidden behind the scenes:
If you want to have a full picture of what is music, you have to keep in mind that we are humans listening and creating this music. Therefore, you have to include cognitive science to get the whole picture. As far as I know, cognitive science is not "just math."
That said, there are some really cool connections between math and music, like the harmonic series and equal temperament, chords and groups, and some more involved things like the book "The Topos of Music" by Mazzola.