In music notation it absolutely *is* across a line (but it isn't 1 Hz) - "midrange" seems to be more of a construct of speaker/audio reproduction discussions than anything else (which I would guess goes back to the woofer/squaker/tweeter design for loudspeakers, to try and more accurately reproduce the audible range). Some more you can read (there's enough to read until your head spins if you keep looking):
http://www.zytrax.com/tech/audio/audio.html
http://troelsgravesen.dk/frequency_ranges.htm
http://greenboy.us/fEARful/frequencytables.htm
https://www.teachmeaudio.com/mixing/techniques/audio-spectrum/
A lot of terminology shifts around for the audible range over ~2kHz (or C7) - "treble," "high end," "upper midrange," "presence" etc can all be found - I think that's more to do with the inspecificity with which we talk about speaker systems and/or the intended audience (or author's origins) - is it being written by/for musicians, studio/live professionals, speaker designers, audiophiles, etc? Those groups tend to use different vocabulary to talk about similar things in different contexts.
As far as "sensitivity" at this range - human hearing response isn't flat, and we do indeed "hear better" through what roughly occupies the human vocal range (imagine that). There's also a degree of personal preference when it comes to listening to music (or even the type of music you like), and our individual hearing probably factors into that on some level (there's also interactions between the headphone and your head/ear shape which influence perceived frequency response). If I remember right, Tyll had an article about "treble sensitivity" on the InnerFidelity blog a while ago when there was more discussion about the Harman Target Response for headphones and such, but I haven't seen as much about that in more recent times.