The midi range, not the tweeter, is the most important driver in a speaker.

Let’s pose this question another way:

within the normal range of human hearing, how many octaves are typically handled by 1. the tweeter, 2. the mid-range, 3. the woofer?

That’s not a particularly good way to consider the question, because the ear’s sensitivity is not equal at all frequencies. In addition, the spectral distribution of the sound of a band or orchestra is not equal at all frequencies. That’s why the OP’s premise is so defensible.

Most of the music is in the midrange.