IMO, if you just get a single kind of light, you’re short changing the students.
Each light technology has it’s pros and cons and it’s best uses.
Tungsten is color accurate – and the fixtures that use is are designed for maximum control of the light beam – something that is priceless when you want to light part of a scene – but keep that light off other parts.
Fluorescent fixtures provide broad, soft light that is very flattring, especially for older talent with issues like wrinkles. (This is also why it’s common to put tungsten lights in soft-boxes) But these kind of broad, soft sources are very hard to controls compared to focused tungsten.
LED is the most energy efficient and cool, but it’s an array of spotlights that works great for some things and not so great for others.
Each has their place. To teach about one over the others is like teaching chefs ONLY baking. ONLY sauce making, or ONLY prep skills – when what a good professional cook really needs is exposure to the widest possible range of skills so that they understand as many approaches as possible.
I’d vote for 2 tungsten fixtures, perhaps a broad source like a Lowel Tota and a small 300 watt fresnel. Then get one 4″ fluorescent bank – and one LED panel. Order the LED and the Fluors in 3200k versions and then mix and match them to see what each does best.
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