Originally Posted by
boisking
Engine revs do not have a direct effect on the squeak. Wheel speed does have a direct effect on the squeak.
Place the vehicle on jack stands, engine off, in neutral. Assuming you have a torsen, open, or viscous diff, spin one wheel at a time by hand (all 4 wheels). Listen for noise. Remove the wheels and try to see if the backing plate for the brakes is rubbing the disk (common). Next, double and triple check that all of the retainer and alignment clips on the brake pads and calipers are seated and installed properly (common). Next check all the brake hoses for wear resulting from rubbing (less common, less noisy, bigger consequences). Look at the inside of your wheels to see if anything has been polished from rubbing (more common for wide aftermarket wheels). Look at the brake rotors to see if anything has been polishing them that wasn't a brake pad (both sides of the rotor).
It has been a while since I was inside a Miata brake. Remind me: do the pads have those little v-shaped springs that help return the pads to a resting open position? If so, check for the proper installation of those things (common).
Do your brakes ever squeal under light-moderate braking? Did you use OEM, Aftermarket OE equivalent, or high performance pads when you replaced?