This document describes textile assemblies for speakers, including textile assemblies with inlaid tensioning yarns, and associated apparatuses and methods. The textile assembly includes a textile body (106) with inlaid tensioning yarns (302, 304). The textile assembly (102) may be a fully-fashioned textile swatch. The tensioning yarns are inlaid at intervals in the textile body but can slide within or be pulled through the textile body. Further, the tensioning yarns have ends (306, 308, 402, 404) that are accessible near the edges of the textile body for various reasons. First, pulling on them while the textile assembly is on an acoustic device (104) tensions the tensioning yarns such that they limit movement of the textile assembly and break up vibration modes. Second, their ends can be tied directly to, formed into loops to hook over, or wound around, features (208) on the acoustic device to removably secure the textile assembly to the acoustic device.