Why is it C's Major scale that comes without accidentals instead of A?
The C Major scale is played C D E F G A B C
The C chromatic scale is played C C# D D# E F F# G G# A A# B C
Why was it decided that instead of (Shifting the letters of C chromatic down two) A A# B B# C D D# E E# F F# G A
Basically if you wrote on the white piano keys, the A would be written on the C key.
My question is more about why it's called C instead of A, rather than having anything to do with the pitches. As a related side question, what importance does A have besides being a tuning reference.