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There's a thing called "Integer Notation", which is (from what I've seen) used a lot in the more mathematical regions of musical theory.

It's pretty much what you'd expect, zero-based integers that represent semitone intervals. Sometimes they write chords in curly brackets, like {0,3,7} for the major triad.

Integer Notation also happens to be pretty much equivalent to the 0-127 based MIDI notes--in the sense that it's also zero-based integers representing semitones.

https://en.wikipedia.org/wiki/Integer_notation actually redirects you to "Pitch Class". Also very useful and mathematically sound, it's the same idea but with modulo-12 arithmetic.



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