Yes, you are absolutely right ("Pilot's handbook of aeronautical knowledge", "Helicopter flying handbook", etc.).

That said, rational numbers and twelfth root of two etc. aren't exactly what musicians or composers would be thinking about, but rather scales, intervals, chords and progressions. That's the music theory the OP was arguably looking for. Those are introduced on the Wikipedia page: https://en.wikipedia.org/wiki/Music_theory#Fundamentals_of_m...