LeeD if you look at the piano keyboard you will see that all #'s and b's are on the black keys. There are no black keys between the B and C, or the E and F.
That is why I asked the questionÂ
. Why is there no black keys ?
After a bit of research I have found that there are equal Frequency spacings that mean that e and b sharp don't fit.
This does beg the question who and why did the scale get its note names etc.Â
Correct me if I'm wrong, but wasn't it Beethoven who created our music scale that we use in our western music? I mean, other instruments are quite different in other cultures. The notes and scales on a sitar are quite advanced and broken down into even more notes.
The scale we use, looks almost like a mathematical formula to me.
Nope - Beethoven didn't create it - nobody really knows - it's origins go back to ancient times. Pythagoras had a hand in it. It's based on ratios, like you mentioned i.e. math.
But the current Equal temperament (equal division of the octave into 12 notes) came in around J.S. Bach's time. His "Well Tempered Clavier" works were written to showcase the usefulness of the tuning. Before equal temperament, fixed pitch instruments could not be played in ALL keys.
But, the 12 tone Western musical system was already in place. This was just tuning tweak to help instruments play in more keys.
In essence, it means all keys are equally OUT OF TUNE!
Reason? The circle of perfect 5ths is actually a SPIRAL; natural has played a trick on us and all music is actually BROKEN! ;-)
Google equal temperament for more info.