The octave is the interval between one note and a note with either double the frequency or half the frequency of that note.

Name: The octave is the interval between one note and a note with either double the frequency or half the frequency of that note.
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This is an accurate definition of an octave in terms of frequency ratios. When one note has double the frequency of another, it is one octave higher; conversely, when one note has half the frequency of another, it is one octave lower.

The Octave Is the Interval Between One Note and a Note