The ornamental design for an orthodonticelastomericligaturetie, as shown and described.
FIG. 1 is a front perspective view of an orthodontic elastomeric ligature tie, showing my new design;
FIG. 2 is a front elevational view thereof;
FIG. 3 is a back elevational view thereof;
FIG. 4 is a side elevational view thereof, and the opposite side elevational view is a mirror image of the side elevational view thereof;
FIG. 5 is a top elevational view thereof, and the opposite bottom elevational view is a mirror image of the top elevational view thereof; and,
FIG. 6 is a front perspective view thereof, wherein the broken line showing of a heart is for the purpose of illustrating an environment and forms no part of the claimed design.