Among other things, there are disclosed embodiments of belts or bands that can be used in treatments for tricuspid valve regurgitation. In some embodiments, such belts may be heat-set in a particular configuration to effectively decrease tricuspid annulus when deployed around the atrioventricular groove. Embodiments include one or more tensioning sutures for applying cinching or tightening to belts when deployed, and structure for effectively distributing force during such tightening. Embodiments of tensioning members, protective members, and devices and methods for open-surgical placement (e.g. around a heart for annuloplasty) are also disclosed.