Mole',
I think you've hit it. The distance between turns of a coil will make a difference in the total inductance of a coil, so will the coil's diameter. The 'shape' of whatever the coil is make of , round, square, rectangular conductors, will also change the inductance because of the interaction between what makes the coil. Square or rectangular conductor will have more surface area at a 'constant' distance from each other. Round conductors will have a varying distance between the surface areas of the conductor, not much, but some. Two 'round' surfaces versus two 'flat' surfaces, even if the other dimensions are the same between the two (length and diameter of the coil), will mean a difference of inductance between two otherwise simular coils. The 'wider' the flat conductor is compared to the round conductor will mean a larger inductance. That will mean that a shorter coil made up of that 'wide' stuff will have the same inductance as a longer coil made up of round stuff.
The diameter of a coil also comes into play. Assuming the same diameter between two coils, if one uses 'wider' conductor and the other uses round conductor, the 'wider' one will have a smaller diameter. A smaller diameter reduces the total inductance. If the change in surface area between the flat/round stuff is much larger in proportion to the coil's diameter, then the inductance of the whole thing may not be very much, or if the difference is even larger (as in the flat stuff reducing the inside 'hole' in the coil significantly) the inductance may even be ~smaller~ than the round stuff coil. That's a stretch, but still true!
- 'Doc
[I'm getting a headache, more coffee!]
PS - Oh, one last thingy. Don't even think about using a triangular shaped conductor, the sharp points of a turn will make it very easy for it to short between turns. Ought'a make a good 'light show', though...