Beats per beat? I can think of more confusing language constructs. Plus acceleration is metres per second per second and that isn't unitless. One solution tho

Beats per beat? I can think of more confusing language constructs. Plus acceleration is metres per second per second and that isn't unitless. One solution though would be to make use of one of the freed up words and use minute instead of beat. So we could say minutes per beat. Does that deal with your concern?