Sure in this case I used a small soft box with a 400 watt strobe and I actually set the camera on daylight even though I am shooting tungsten. Reason being if I set the camera on tungsten and use the flash the flash lighting will look blue which is more stranger than looking warm. So when flash is used set for daylight and let the warm tone of ambient tungsten come in a little. Also daylight from window coming in.
So with this in mind the flash actually is acting more as the main light and fills in where the tungsten is not hitting. In this shot ( the first one let's say) top left ceiling would go very dark . Back of flowers would also with the sofa table so this is more the flash than the ambient filling in those area's. Now it's a balance of not going overboard either way and also not trying to be equal either . Like portraits you want some type of ratio to create shadows and highlights to work with. Great question BTW and working with lighting takes one a load of patience and also to be very knowledgeable of what you are doing with it. I made this shoot even tougher for myself by not tethering to a laptop but working from the LCD screen and histo. This makes the task riskier because obviously much harder to find problem area's
Thanks Guy for the enlightening and comprehensive answer. Quite interesting view on balancing mixed lightning in that case.
By the way it's probably my quibble with photo #4, to me it looks like the WB is off from typical mixed lighting. But again, you were there
(#1 is extremely good and will well serve the "book" purpose, especially since it demonstrates your ability to get this kind of result quality without the cost and time involved with a full day setup using numerous Inkies)
The pending question i guess is how do you set the strobe(s) output with long exposure (well, several seconds) shots. Is it a trial and error matter or is there a rule of thumb?
And as a subsidiary, is the flash used in standard mode or rear curtain?
(...if relevant here...)
Regarding the image displayed within the TV set, my humble opinion is that whether you opt to keep it then maybe the use of horizontal black stripes only, cinema style, might wisually work nicer than the black
frame around it, for a more natural integration.