[QUOTE=AHunter3]
They should definitely ditch it and start over. First and foremost, the distance between notes-as-written (whether between a line and the space above it, as we have it now, or some other nomenclatural system) should always be a half step. No key sigs. None of this "Oh, we’re in the key of F# major so the distance between A (which is A#) and B is a half step whereas the distance between G (which is G#) and A (which is A#) is a whole step. None of this “Oh, it’s an accidental, I put a ‘natural’ sign in front of that second C (which would be C# like the one before it) so it’s C-natural, so the two notes which are written in exactly the same space between lines are actually a half-step apart.”
Pick a line, call it A = 440, the space above it is A#, line above that is B, space is C, line is C# and so on.
Then color-code the lines. A is rec, B is green, and so on.
I think something better could be done about duration, too.
[/QUOTE]
I’m sorry, as a pianist for the last 16+ years, I can’t agree with this.
The current notation system is tonality-oriented (tonality-biased, if you prefer); in the key of F# major, just like in any other key, the notes as they appear on the page refer to the scale appropriate for the piece. This is a historical anomaly perhaps, but one that we have to live with. I don’t find the fact that a note in the second space of the treble clef refers to A# instead of A in F# major - it’s just a matter of “thinking in the key” rather than reading note-for-note and thinking in terms of letter names. I don’t think in terms of letter names when I’m sight-reading - it’s too inefficient.
Serialists (Schoenberg, Webern et al) wrote music based on a twelve-tone system which has some of the same elements you describe. That is, each half-step in the octave was assigned a number, rather than looking at the notes in a tonal capacity. Then, of course, they had to write it in the end in traditional notation, which makes it cumbersome to read. I agree that for non-tonal music the system is less than desirable, but at least it’s standard.
To the OP, I think that in the modern system of notation, the best solution made above is to think of the treble and bass “grand staff” as one continuous system. Sometimes young students have trouble with the idea that this B, and another B, and a third B all in different places on the staff have the same name, but actually refer to different notes. The point of this system is that letter-reading alone is insufficient for quick translation into a multi-octave instrument like the piano or marimba (and many modern wind instruments, since most have vastly improved their range over the last several hundred years since notation was modernized). The composer of the music has indicated in which octave the note is to be sounded; to displace some or all of them is to change the piece of music.