oh dear, maybe you /don't/ understand my question, after all, allthumbspiano! let me bring up two things you just wrote to show why:
The C major scale has no sharps or flats, this scale was created before the piano.
that's fine by me, the thought that the scale with no sharps or flats to be created before the piano (or in my words, i'm okay with the thought that there was a scale deemed so "basic" that the only idea of sharps and flats came about by asking what notes were /not/ in this most "basic" scale, and that this "basic" scale was created before the piano). but the whole /point/ of my question is:
suppose i'm a musician guy inventing cool stuff like the idea of a scale, and i'm someone who lived way before the age of the piano. now suppose i created a major scale that i deem to be the most "basic" and "simple" scale, and i wanted to use the letters of the alphabet to refer to the different notes of the scale. then, i would definitely name the notes like this: ABCDEFGA
there is no reason i know of why i'd decide to begin to name it starting with C! and so i don't understand WHY the most "basic" scale was ever named starting with the letter C!
The [keyboard] that you show does have sharps and flats on the black keys but it looks like the 3rd in the A major scale which should be a C# is instead on a white key of D.
but, again, the whole /point/ of my question is that if you take the most "basic" and "simple" major scale, and want to assign notes to it, then the A major (yes, major!) scale would be: A B C D E F G A, and there *would not be a note that ever existed called C#*.
you're saying that the 3rd in the A major scale should be a C#, but it's only a C# in /our/ naming system (ie the one that starts on C). in the naming system used by the keyboard i posted:
A [A#/Bb] B [B#/Cb] C D [D#/Eb] E [E#/Fb] F [F#/Gb] G A
, the third of the A major scale indeed is C. (count it using TTSTTTS! 'A' is the first degree; a tone up from that is B, which is our second degree; and a tone up from that is C)
i'm feeling a little uneasy, because it seems that i am having a lot of trouble explaining what my question IS. you're the third person in a row who i've seemed to have caused to misunderstand my question, and it makes me doubt my capabilities of communication...!
do you see what i'm trying to ask, now, allthumbspiano? or did i not quite clarify enough?