Imagine a fairly bright and wide double star with both of its components significantly variable.
I have been constantly wondering if such a thing as two Mira stars might exist as part of a binary system, ranging over 5 or 10 magnitudes each from minimum brightness to maximum. Or even two pulsating Cepheids for that matter with an amplitude of 2 or 3 magnitudes.
I expect the probability of finding such a thing would be extremely low. But the wonder of it would be immensely fascinating. Has anyone observed such a system yet?