If we were to leave the historical context aside and redesign the system of musical notation: would we base this around the 12 steps we've divided octaves in?
What strikes me as very confusing and weird is that the notes and intervals (and even the layout of some instruments like the piano) is based around the major scale.
Am I correct in assuming this is just born from the historical context, where perhaps this 7 notes array is all there was, or is there any other reason?
Could we simply call the notes by numbers and their intervals maybe in flat ordinals (or the other way around)? What would we lose by doing that?
It would be awesome if answers can cite technical advantages of the current system vs flat numbers (I already assume a great deal of what we have nowadays is historical, but it's still a struggle for every beginner, I wonder if there are other reasons)
Edit: I'm interested in finding motivation to study theory, but I'm having trouble getting over the feeling that it's way more complex than it should be, so any argument helps