I'm a programmer by trade, and I have always felt that music was arbitrarily difficult. Please forgive my inexperience with musical notation. I had a little thought experiment with my wife today, and I wanted to ask why we don't do it the way I thought up.
My wife explained to me that a scale(octave?) is made up of seven notes, which we typically call ABCDEFG or Do-Re-Mi-Fa-So-La-Ti(-Do). From this answer: https://music.stackexchange.com/a/3004 we know that those 7(8) notes are this progression:
Every major scale has seven notes. They all start on a root note and proceed to go up in the following pattern: Whole Step, Whole Step, Half Step, Whole Step, Whole Step, Whole Step, and then a final Half Step returns to the root note (an octave above where we started).
Why go up by a half step twice? Why not go up a whole step every time? It seems like having B# be C and Cb be B (and same with E/F) is arbitrarily complicated. Was this done just to make pianos easier to play by feel? Is there a mathematical root?
If you will suspend your disbelief with me for a minute, what if we had a scale made up of 7 lines? The spaces in between each line represent the notes (I'll call them 1-6, to avoid confusion with A-G). The lines themselves represent sharps and flats. So a 1# is a 2b, etc.
The piano would have to change to having black keys in between every white key. To offset this, the 1 keys would be wider on the left, and the 6 keys would be wider on the right so that one could still determine octaves (septaves?) by feel.
What problems does this present? Is there a good reason not to go to an easier to remember system? If not, why has no one done it?
Questions I've already looked at to make sure this isn't a duplicate: