I had no idea what connected meant, thanks for some of the explanations. Still not entirely sure what it means, other than just making the sound doesn't count.
Did my explanation not clarify? Maybe this will help:
This is a simplified animation of the what your vocal folds do in the modal voice during the glottal cycle:
In other words, the musculus vocalis (the red part) moves during this part. This is the part of your range that you use when you are speaking in your normal voice. You can also look on Youtube for a video of what they look like from above with a laryngoscopic camera. Falsetto looks like this:
Only the ligaments move; the rest of the vocal fold is not involved in the production of falsetto. Roy's explanation is basically right; the "connected" range is that "speaking voice" range extended to its extremes, without going into falsetto. This is one of my favorite examples of someone demonstrating a connected range; Maria Callas singing a
chromatic scale from the bottom of the soprano range to just above the standard soprano range, and back down again.
And I don't think of it as a way of just making it so that the sound doesn't count, though I suppose it has that effect. I think of it as a way of contextualizing the notes, otherwise you're acting as if singers who have to scream and yell their way to the top half of notes have the same range as someone like Mariah.
James Brown is a great example. He has an enormous range if you go by "the notes he has hit," but about two octaves of it consists solely of screams and shrieks. His supported, connected range is closer to B2 - F5.
And always knew Mariah was the queen of highs, didn't she used to break glasses and open garage doors with the pitch?
Well, she gave a Japanese woman
musicogenic epileptic seizures, and helps
goats produce more milk. She's truly capricious.