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Anyone who knows anything of music know why there's no note between a b and a c or e and f? F3lix?
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This is tough. Music is like religion: a bunch of people decided what is "normal" or "standard" and now everyone believes it. I'll try to make sense of something I can't make sense of.
Western music uses twelve-tone equal temperament tuning (a to g with all sharps or flats in between), while other cultures may use different kinds of equal temperament tuning. Arabic music is based on 24 tones. What seems to be the "nicest sounding" scale to Westerners is "whole step whole step half step whole step whole step whole step half step." With the key of c being the simplest in regards to accidentals (there are none) we can recite "c d e f g a b c" as its ionian scale. This scale fits the whole step half step model I mentioned previously.
I would suppose a possible answer, Dent, to why there are no notes between b and c or e and f would be because when the tuning of a piano was standardized, it was based off of the key of C ("God's key"), thus making all the white notes sound to a giant c scale.