> First question: I am getting the idea that I should be calibrating my master dark with a master bias. Is this correct? If so, do I just run the master dark though "Image calibration," applying a master bias, not checking any other boxes, and calling it good?
No, the MasterDark should NEVER be pre-calibrated. If needed (i. e. when using dark frame optimization in the calibration of the lights), the MasterDark can be calibrated during light frame calibration. The correct settings for the light frame calibration are:
a) No dark frame optimization:
Disable section 'Master Bias'
Enable section 'Master Dark', select the MasterDark, uncheck both 'Calibrate' and 'Optimize'
Enable section 'Master Flat', select the MasterFlat, uncheck 'Calibrate'
b) With dark frame optimization:
Enable section 'Master Bias', select the MasterBias
Enable section 'Master Dark', select the MasterDark, check both 'Calibrate' and 'Optimize'
Enable section 'Master Flat', select the MasterFlat, uncheck 'Calibrate'
(Details are given in my guide
https://pixinsight.com/forum/index.php?topic=11968, chapter 4 and 5.)
> Second question background: I understand that, in an ideal world, I would have dark frames matching the exposure time of the flat frames. But mine is not an ideal world, and my flats (dusk and dawn flats controlled by software) may be anywhere from one second to ten seconds in duration.
> What's a guy to do about this situation? When I just use a bias as a dark, it doesn't seem to give good results.
In my view it is unusual that calibrating flat frames (exposure time of only 10 s) with the MasterBias gives bad results. What camera are you using? Which are your settings for calibrating the flats and integrating the calibrated flats?
Bernd