The True Brazilian Rope is a professional bull riders choice today. What makes it a true Brazilian is the style of the block. Brazilian ropes essentially pull opposite or backwards from a standard American bull rope. Thus pulling you back to center while riding. Though not proven, due to the pull direction, riders claim they experience less hang ups using these types of ropes.
The double braided body (colored material) is by far the best in regards to user friendliness and function. They are easier to adjust, pull better, don't stretch as much, and do not twist.