7 ms·
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 conside
by bonzini 10d ago
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 concerns itself about how/what to play and why. If somebody comes from the point of view that clefs and stems (which are undoubtedly musical tools) are gatekeeping and all you need is a piano roll, this article explains from first principles enough musical building blocks to tell them why they're wrong.
- iainctduncan 10d agoSure, 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 acoustics behind musical scales", then they might go on to order great books like Kyle Gann's or Gareth Loy's and be off to the races. Redefining normal terms just makes people sound like they have no clue, and that is, 100%, a serious disservice to the reader/student.
- bonzini 10d agoOr maybe not... surely if you are shown figured bass you will be pissed, but on the other hand understanding triads and sevenths provides some intuition about inversions, voice leading, rootless voicings, upper structures, diatonic movement of voices. Certainly not enough to orchestrate a piece, but enough to listen to educational YouTube videos, follow lead sheets, think about what you're hearing. 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).