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There is little consensus on the appropriate attributes for qualifying a helix. Generally, the parameters are only needed for building the coil.
We have encountered coils in aerospace tubes. In most of our applications, a coil is in the middle of a tube with bends on either end. For example, you can use the VTube coil tool to build a coil that closely matches the coil, then unbend the coil to see a tube with bends on either end before coiling begins. The customer bends the part, then puts the coil in last. At that point, their main goal is that the legs end up in the right place.

Generally, our experience has been:
1 - The coil should start in the correct orientation from the adjacent bend.
2 - Customers want it to end up in a place where the other end is in the right direction and in the right space.
3 - They consider the coil diameter secondary. It seems they just want it in the ballpark. It could be checked as if it were a single cylinder with the axis in the middle of the coil. But no one seems to care about that.
4 - They want to know the pitch to be sure it wraps the right number of times for bending and unbending - but they don't qualify it.