The most commonly used lamps for film and television and live broadcast are:

1. Tungsten (incandescent) lamps: Tungsten lamps are the most traditional type of lamp used in film and television production. They are known for their warm color temperature and are often used to create a natural look.

2. Fluorescent lamps: Fluorescent lamps are energy-efficient and produce a soft, even light. They are often used for large-area lighting, such as in studio backdrops.

3. LED lamps: LED lamps are becoming increasingly popular due to their energy efficiency, low heat emission, and long lifespan. They can be adjusted to produce a variety of colors and color temperatures, making them versatile for different lighting scenarios.

4. HMI lamps: HMI lamps are a type of metal halide lamp that produce a bright, daylight-balanced light. They are often used for outdoor and large-area lighting, as well as in film and television production.

5. Softbox lamps: Softbox lamps are used to create a soft, diffused light. They are often used for close-up shots or to create a natural-looking fill light.

6. Fresnel lamps: Fresnel lamps are used to create a focused, directional light. They are often used to create a spotlight effect or to add depth to a scene.

The choice of lamp will depend on the specific needs of the production and the desired effect that the lighting designer wants to achieve. Many productions will use a combination of different types of lamps to create a balanced and effective lighting setup.