There's been a few music theory videos going around -- some better than the others. I understand there are 13 notes or 12 "half"-steps from C to (shining?) C. So why an "octave", then? Why not a "sextave" or "hextave" with six "notes" and an accidental in between each?
Edit: ok, wow. What a broad range of answers, and thanks for the "Cannibal the Musical" reference--a classic! I didn't understand why some half-steps were considered accidentals and got little black keys on the piano and funny symbols next to them (#/b), meanwhile, some other half-steps just get regular old letters. Why is it usually a whole step between notes, but sometimes a half-step? Well, thanks to the internets, I think my curiosity has been sated.
theory - B ; C and E ; F, No Sharp? - Music: Practice & Theory Stack Exchange
Why no B#,Cb or E#,Fb? - The Workings Of Music - Guitar for Beginners
Basically, what you all are saying, is that when early people started making instruments, they played what sounded good. Because of math, and phi, and Pythagoras, what sounded good turned out to be 8 consecutive notes with the first and last having the same ...quality? pitch? Jai ne se qua? Anyway, they made a flute (or something)with just enough holes to play those 8 notes and they labeled them ABCDEFGA. And this was music for a while. It became what we now call the A Minor scale. But, people started playing around, adding octaves and trying to start the scale at different notes, with varying success. It turns out, you can divide the range from A to A by twelve (semitones, eh?) and you end up with all the original notes, plus some new ones that need to get squeezed in somehow (they become sharps and flats). Going back to Pythagoras (et alia), the ear doesn't enjoy direct advancement up the scale--we like a little drama. So major and minor scales follow patterns--wwhWwwh for major, whwWhww for minor. So, when they made that first scale, ABCDEFGA, they were inadvertently labeling half steps and whole steps the same way: AwBhCwDWEhFwGwA (note the half-step between B/C and E/F.
Anyway, ok, thanks. I get it now. You guys were wonderful.
theory - B; C and E; F, No Sharp? - Music: Practice & Theory Stack Exchange
Why no B#,Cb or E#,Fb? - The Workings Of Music - Guitar for Beginners