
Nicholas C. answered 06/27/19
Bachelors in Professional Music from Berklee College of Music
The word "octave" refers to the number eight because usually the eighth note in a scale is when the root repeats at a different pitch. For example:
C Major Scale: C D E F G A B (C)
Scale Degrees: 1 2 3 4 5 6 7 (8)
Major Scale Intervals: root, major 2nd, major 3rd, perfect 4th, perfect 5th, major 6th, major seventh, (octave)
A Minor Scale: A B C D E F G (A)
Scale Degrees: 1 2 b3 4 5 b6 b7 (8)
Minor Scale Intervals: root, minor 2nd, minor 3rd, perfect 4th, perfect 5th, minor 6th, minor seventh, (octave)
From your description it seems like you might know this already, and perhaps there's a more fitting word, but this is the one in standard practice within Western music. Hope that helps!
-Nic
-Nic