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 (even division of the tresillo rhythm) and my concept of syncopation ratio to differentiate and categorize multiple transcriptions of the same syncopated rhythm.