I didn't see this in a search. Does the height that a turn is at which connects two notes matter to what notes are involved in the turn?

If by "height" you mean the location where the turn symbol is printed in relation to the staff, no.

Turns can vary in speed and rhythm, but the auxiliary notes are always one note above and one note below the principal note.

Steven

Thanks sotto voce. If its right next to princple note or right next to following note in a turn in the treble staff, and say there is a triplet in the bass then its there because that is where it lines up with the left hand rythym and the height might change depending on which note its closer too? (ex the turn occurs between an octave).

It's hard to say, especially without seeing the example.

When a turn is printed directly over a note, the articulation is generally upper auxiliary, main note, lower auxiliary, main note.

If it's located between notes, it indicates that the main note is played first, and then (after a slight delay) the same steps as as above: upper auxiliary, main note, lower auxiliary, main note.

The height doesn't have any significance, and is most likely chosen by the printer.

Here are a couple of online sources with more information:

Wikipedia on turns
Dolmetsch on turns

Steven