For example, why are a C6 and a C4 both considered to be the note of C? They sound different, so why the repeated naming convention? Can people (without extensive musical training) hear some similarity between the two that indicates they are the same note?
In: Mathematics
There is a huge spectrum of sound frequencies we can hear but they all fall under a handful of notes to put it simply. Notes in music are represented by the letters A through G. If you start with A and increase the pitch all the way to G, it will sound much higher than A. But what if you want to go higher than that? Well if you did that you would hit A again, which would be the same note as that A played in the beginning but with a higher pitch than any of the notes mentioned in this example so far.
As a dude, if I wanted to casually sing along with a song that featured particularly high pitched vocals, I would probably take it down an octave in most settings to not sound ridiculous. I would still be hitting the correct notes, just on a different frequency.
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