Creating a satin, semi-reflective finish on bronze involves a combination of mechanical and chemical techniques to achieve the desired aesthetic. Here are the most common methods:

1. Mechanical Polishing: Using progressively finer abrasives, such as sandpaper or polishing pads, helps smooth the bronze surface. Start with coarse grit (e.g., 220) and work up to finer grits (e.g., 600-800) for a semi-reflective sheen.

2. Chemical Patination: Applying patina solutions (e.g., liver of sulfur or ferric nitrate) can create a controlled oxidation layer. Lightly buffing afterward with a soft cloth or brush enhances the satin effect.

3. Scotch-Brite or Nylon Abrasives: These non-woven abrasives provide a uniform satin finish without deep scratches. Use a circular or linear motion for consistent results.

4. Glass Bead Blasting: This technique uses fine glass beads to create a matte, slightly reflective surface. Adjusting the pressure and bead size allows for customization.

5. Burnishing: A smooth, polished stone or steel tool is rubbed against the bronze under pressure, compacting the surface for a subtle shine.

For long-lasting results, seal the finish with a clear lacquer or wax to protect against tarnishing. Each method offers unique texture and reflectivity, so experimentation is key to achieving the perfect satin finish.