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The interval from A to Bb is a minor 2nd, also called a half step.
An octave is not a fifth. A fifth is any interval of exactly 7 half-steps. An octave is any interval of exactly 12 half-steps.
Interval is the gap in a play or performance were you can leave and come back for the second half.
In a perfect interval: 7 and a half steps In a 5th diminish: 6 and a half steps
distance equals initial velocity times change in time interval plus half of accerlation plus time interval squared