Period-eccentricity distribution of the 30 well-constrained binaries with uni- (blue) or bimodal (red) posterior period distributions. The maximum eccentricity limit as defined by Moe & Di Stefano (2017) is indicated as a solid gray line. The panel on the right-hand side shows a collapsed histogram of the eccentricity distribution for the well- constrained MUSE binaries. For comparison, the predicted eccentricity distribution of the detectable CMC binaries is plotted in orange, scaled to the number of MUSE binaries for better readability.