You can also buy harps in Low and High octaves, and if you go Lee Oskar, in varied scales too (inverted major, and harmonic and natural minor). But each harp (or tremolo / octave / orchestral mouth organ) is a separate instrument with its own limits. And even with blues harps you can cross into different keys - same instrument, different choice of notes. If you go modal you can play eight keys on one harp. Which key is higher? Sorry, that's an invalid question, like dividing by zero.
No ....I am sorry ....if you play one instrument then the question is valid for that instrument ...because it is that instrument that you are talking about ....and that includes your voice .
Generically because the octaves are infinite ..then yes there is no higher or lower key. But on a specific instrument that has possibly only a two or three octave range or a voice then the question is valid.
If not so then when why do individuals find it easier to sing in one key than another ?
Without getting into Bass, Tenor ,Soprano of the classic choir or singing brigade . We are talking about your average Joe and Josephines here
And even for the defined areas . The key is relative to the range or Octave that person is singing in .
Otherwise you may as well say that D3 on the piano is no higher in pitch than D1. Which it clearly is .
So surely a key that starts further up the scale of that instrument is to be playing in a higher key.
By definition it has to be ....otherwise it would be pointless having them. CAVEAT On the same instrument ...
So a song in D started at D3 is higher than C3 by virtue of the fact that it is the next note UP on the keyboard/fretboard/whatever and is higher than a song in D started at D 1. So "IN THIS CASE" (emphasis, not shouting) D is the higher key than C.
Cross harping is limited to from one to another . Yes I can cross harp a C to G ...I leave out the F# because I have not got one on a C harmonica....unless it is a bendable note ....which not all are...and not having one to hand,so you can only swap or cross harp certain harps..
But I cannot cross a C to an E or D or a to many # and bs...well technically if you just play the naturals that remain but it would only be an accompaniement.
The actual Key name is just a name for a set of notes that fall in a certain order and generically they have no particular value for being higher or lower as that will be defined by the instrument that they are played on .
A key played on a bassoon will sound lower than on a flute.
But a person sat with a ukulele who says this key is too high for me to sing in is correct as well, because that key is taking them into notes on that they may not be able to reach vocally .
And as I can now feel the usual "meh"
reactions coming from the conservatory crowd I'm off to me shed.