There are a couple of reasons why, in my opinion,
there is a need for an alternative notation
for piano
Number one, key signature.
Key signature is a set of sharps or flats
placed at the beginning of a line.
It has a direct influence on the meaning the
following notes.
For example, if there is a sharp symbol placed
here onto the F line it means that every F
you play is sharp.
So it's not too bad when you have one sharp,
or one flat, or two sharp, or two flat
But when you get to four five six flat, it
can get complicated to keep track.
Number two, Accidentals.
An accidental is a note whose pitch is not
is the key signature of the piece you are
playing.
In other words it changes the meaning
of the note following the symbol.
Sharp, Flat, Natural, Double sharp, double
flat.
And the rule is that the symbol will change
that note for the whole bar.
So if the same note comes back within the
same bar or measure you have to play it according
to the symbol placed 
earlier.....
Number three, ledger lines.
I'm not going to say anything on this one.
Number four, clefs.
The use of the grand staff for piano, it's
not that bad.
You have the learn the notes, you have...
it's not that hard.
Treble Clef, Bass Clef.
You have to learn it but you'll get over it.
But let me introduce to
you my favorite thing to hate about the standard
notation, clef change.
So we're playing this piece right here which
is already kind of complicated because of
its key signature.
But we're getting through, working hard.
And everything is fine until the end of the
first line where the Bass Clef gets traded
for a Tremble Clef.
So, okay we're playing with two Tremble Clefs.
Okay, we'll get used to it.
But then, it gets changed back to the Bass
Clef.
So you think : okay, we're getting back to
normal.
But... we're not done... it gets traded for
a Treble Clef once again.
For one beat and it gets traded back to a
Bass Clef once again.
I mean
it's like driving on the wrong side of the
road.
It happened to me countless times when I was
playing and it sounded weird and I didn't
know what was going on... and then, oh yeah...
there's a Tremble Clef I didn't see, It just...
it messes with all my habits.
