A banded frictional power transmission belt with a satin-weave, band fabric wrapped around the outside of the belt. The band fabric may be a satin weave of warp and weft yarns and may include a high-strength, wear-resistant yarn such as aramid fibers, and may include a high-adhesive yarn such as nylon and/or cotton. The aramid and/or nylon fibers may be staple or filament fibers. The band fabric may be treated. The band fabric may have a 4×1 satin weave. The band fabric may be wrapped on a bias. The high-adhesive yarn may predominantly reside on the inside of the fabric contacting said V-belt, and the high-strength, wear-resistant yarn may predominantly reside on the outside of the fabric which is the outer, pulley-contacting surface of the belt. The banded belt may be a V-belt, round belt, dual-V-belt, or multiple V-belts, or have another friction belt profile.