Removing mipmap levels?

So, I'm doing something funky with the mipmaps of a texture, and I want to only have like...5 mipmap levels. Anything past that loses too much detail, and I want to cap it there.

Is there a way to do this? I'm procedurally generating the texture mipmaps, so importing a .dds is not going to work for me.

(It's a 1024x1024 texture, so by default it has 10 mipmap levels).