Pic of living orchid roots:
http://www.aboutorchids.com/blog/wp-...ts_1_640px.jpg
If you're using sterilized cutters to make your cuts, that's good. If not, I suggest practicing this technique from now on.
I don't know how large of a pot you've used in relation to the root mass, but if it's too big, that's bad.
Using a pot size that is about the size of the root mass is good.
They like moderate to bright indirect light.
Moderate humidity is fine (50% - 70%).
You said you replanted in orchid mix...
If it is an epiphytical Epidendrum, then:
If it is wood chips, or wood chips with perlite, or wood chips with pumice, or wood chips with perlite and charcoal, or wood chips with pumice and charcoal - you're golden.
If you've got peat in the mix, that's no good.
Unless...
It is a terrestrial Epidendrum...
Then I can't say, because I don't have much experience growing terrestrial Epidendrums. I'm currently aware of the fact that I only own 1 species of Epidendrum that can be considered an epiphyte, lithophyte,
and a terrestrial Epidendrum. And I don't grow it as a true terrestrial.
I don't know how soon the roots will grow, but they'll grow under correct environmental and cultural conditions.
If the roots died, you'll know. Epidendrums will not last very long without their roots (no large storage systems for reserve energy).