This 11-page document succinctly presents my research findings from my dissertation. It explains my theory of how the Haitian quintolet and Puerto Rican elastic tresillo type B rhythms preserve cross-rhythms with misalignment to the duple meter to allow true independence between duple and tresillo-based triple-metered rhythms. Traditional use with the cinquillo rhythm for the tresillo-based five-beat syncopated rhythm synchronizes to the duple meter to disallow cross-rhythms. It also explains my theories about the execution of these rhythms and my concept of syncopation ratio to differentiate and categorize multiple transcriptions of the same syncopated rhythm.