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If there is one thing I would change about music theory, it's how they made it 1-indexed and got all the intervals wrong. We wound up with nonsense like two octaves (8) is a fifteenth (15). An interval of a "fifth" is 4 steps up. Etc. Music theory is a giant off by one error.pic.twitter.com/fR6fmwCsPT
*So* many people think an octave is 8 scale notes and 12 chromatic notes, even though those two counts are counting differently. An octave is 7 scale notes. Nobody talks about an octave being 13 chromatic notes, because it makes no sense, but "oct"ave is fine?
At least music has age as an excuse. CS papers on algorithms on strings have no excuse. 
I never understood music until I stopped trying to understand it.
I'm not sure ... but I've always thought this was tied to how in Latin one counts both ends of a series. A Roman would count C4 as the 8th white key from C3 having counted both C's.
It's our collective vanity against anything to do with the number seven.
Lets not forget that a fifth is also not the fifth harmonic
People told me that I should read this as "play starting from the 8th/15th degree instead of the 1st one". But yeah, this "notation" is awful.
Obvious solution: use an octatonic scale, now 8va is correct and you can also use 16va.
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