Earlier quoted context omitted.
Are Peano's axioms number theory? No one really uses them directly (other than induction) when working on practical number theory problems, but they are considered part of it. Scales and chords build the fundamental basic blocks for Western music (I would introduce equal temperament third but that's only a matter of ordering). They are taken for granted in musical practice, I agree, but only because musical practice…
Sure, but none of that changes the fact that is someone reads that article and says "wow I like music theory!" and orders the best theory books or signs up for a course or lessons, they are going to be PISSED. They will get some books that don't cover what they think music theory is at all and that touch on basically nothing in this article. On the other hand, if the author had said something like "Intro to the acous…
Harmonics and temperament aren't really relevant to all this, though at some point you have to explain why certain intervals are naturally consonant but "boring", and others can be made to make sense but mostly within a more complex voicing (which reconnects to topics like inversions and voice leading).
(For disclosure I studied piano until ~20, both classical and jazz, and I would call my knowledge of jazz theory "decent" for someone with zero professional or academic experience. Obviously not comparable to yours and not even in English, so perhaps what I wrote above will sound really stupid).