Though about 80 pulsar binaries have been detected in globular clusters so far , no pulsar has been found in a triple system in which all three objects are of comparable mass . Here we present predictions for the abundance of such triple systems , and for the most likely characteristics of these systems . Our predictions are based on an extensive set of more than 500 direct simulations of star clusters with primordial binaries , and a number of additional runs containing primordial triples . Our simulations employ a number N _ { tot } of equal mass stars from N _ { tot } = 512 to N _ { tot } = 19661 and a primordial binary fraction from 0 - 50 \% . In addition , we validate our results against simulations with N = 19661 that include a mass spectrum with a turn-off mass at 0.8 M _ { \sun } , appropriate to describe the old stellar populations of galactic globular clusters . Based on our simulations , we expect that typical triple abundances in the core of a dense cluster are two orders of magnitude lower than the binary abundances , which in itself already suggests that we don ’ t have to wait too long for the first comparable-mass triple with a pulsar to be detected .